From 3b419bab6ed2fc46cda1c31fd987480c0cdd7c7f Mon Sep 17 00:00:00 2001 From: Dmitriy Skougarevskiy Date: Thu, 16 Sep 2021 10:06:49 +0300 Subject: [PATCH] Initial commit --- AUTHORS | 8 + CITATION.cff | 29 + DEPENDENCIES | 18 + LICENSE | 395 ++ Makefile | 102 + README.md | 113 + .../alphaicon_paper/1_compute_alphaicon.ipynb | 1349 ++++ code/alphaicon_paper/2_compute_npi_dpi.r | 63 + .../3_summary_stat_by_node_type.r | 213 + code/alphaicon_paper/4_illustrate_algorithm.r | 257 + code/alphaicon_paper/5_algorithm_evaluation.r | 412 ++ code/alphaicon_paper/6_rank_top_holders.r | 431 ++ .../uk/1a_process_psc_snapshot.r | 52 + .../uk/1b_process_companies_data.r | 107 + .../uk/2_psc_snapshot_to_participants_panel.r | 89 + ...pare_affiliated_entities_evaluation_data.r | 125 + code/helper_functions/compute_power_index.r | 248 + code/helper_functions/install_dependencies.r | 22 + .../cik_name_lookup.csv | 0 .../company_info.csv | 0 .../company_locations.csv | 0 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output/uk/transitive/uk_organisations_transitive_ownership_alpha0.999_2021_long_2aug21.csv create mode 100644 output/uk/transitive/uk_organisations_transitive_ownership_alpha0.999_2021_long_7sep21_dpi_10000iter.csv create mode 100644 output/uk/transitive/uk_organisations_transitive_ownership_alpha0.9_2021_long_2aug21.csv create mode 100644 output/uk/transitive/uk_organisations_transitive_ownership_alpha0.9_2021_long_7sep21_dpi_10000iter.csv create mode 100644 output/uk/uk_organisations_participants_2021_long_2aug21.csv create mode 100644 output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv diff --git a/AUTHORS b/AUTHORS new file mode 100644 index 0000000..bbe865e --- /dev/null +++ b/AUTHORS @@ -0,0 +1,8 @@ +Copyright © 2021 European University at St. Petersburg and Skolkovo Institute of Science and Technology + +Moral rights: + Kirill Polovnikov + Nikita Pospelov + Dmitriy Skougarevskiy + +The version control system provides attribution for specific lines of code. \ No newline at end of file diff --git a/CITATION.cff b/CITATION.cff new file mode 100644 index 0000000..5c7e8da --- /dev/null +++ b/CITATION.cff @@ -0,0 +1,29 @@ +cff-version: 1.2.0 +message: "If you use this algorithm, please cite it as below." +authors: +- family-names: "Polovnikov" + given-names: "Kirill" + orcid: "https://orcid.org/0000-0001-9903-9623" +- family-names: "Pospelov" + given-names: "Nikita" +- family-names: "Skougarevskiy" + given-names: "Dmitriy" + orcid: "0000-0002-4022-6210" +title: "α-Indirect Control in Onion-like Networks" +date-released: 2021-09-16 +year: 2021 +url: "https://github.com/eusporg/alphaicon" +preferred-citation: + type: unpublished + authors: + - family-names: "Polovnikov" + given-names: "Kirill" + orcid: "https://orcid.org/0000-0001-9903-9623" + - family-names: "Pospelov" + given-names: "Nikita" + - family-names: "Skougarevskiy" + given-names: "Dmitriy" + orcid: "0000-0002-4022-6210" + url: "https://arxiv.org/abs/2109.07181" + title: "α-Indirect Control in Onion-like Networks" + year: 2021 \ No newline at end of file diff --git a/DEPENDENCIES b/DEPENDENCIES new file mode 100644 index 0000000..a9e0e78 --- /dev/null +++ b/DEPENDENCIES @@ -0,0 +1,18 @@ +Imports: + data.table (>= 1.13.2), + stringi (>= 1.4.4), + stringr (>= 1.3.1), + lubridate (>= 1.7.10), + remotes (>= 2.3.0), + usethis (>= 2.0.1), + ndjson (>= 0.8.0), + igraph (>= 1.2.6), + Matrix (>= 1.3-3), + matrixStats (>= 0.59.0), + stargazer (>= 5.2.1), + fastDummies (>= 1.6.3), + ggplot2 (>= 3.3.3), + ggthemes (>= 4.2.4), + ggrepel (>= 0.9.1), + ggnetwork (>= 0.5.9), + showtext (>= 0.9-2) \ No newline at end of file diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..52bd145 --- /dev/null +++ b/LICENSE @@ -0,0 +1,395 @@ +Attribution 4.0 International + +======================================================================= + +Creative Commons Corporation ("Creative Commons") is not a law firm and +does not provide legal services or legal 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For +the avoidance of doubt, this paragraph does not form part of the +public licenses. + +Creative Commons may be contacted at creativecommons.org. \ No newline at end of file diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..2ad2bd2 --- /dev/null +++ b/Makefile @@ -0,0 +1,102 @@ +# List of R dependencies for the project +DEPENDENCIES: + # Do nothing, the file is created outside the repo + noop + +# Helper function to install the dependencies +code/helper_functions/install_dependencies.r: + # Do nothing, the file is created outside the repo + noop + +# People with Significant Control snapshot from Companies House +data/uk/persons-with-significant-control-snapshot-2021-08-02.txt: + # Do nothing, the file is created outside the repo + noop + +# Company Data Product snapshot from Companies House +data/uk/BasicCompanyDataAsOneFile-2021-08-01.csv: + # Do nothing, the file is created outside the repo + noop + +# Industry sector names +data/uk/sic_2007_code_list.csv: + # Do nothing, the file is created outside the repo + noop + +# CorpWatch SEC 10-K filings data: company name-id mapping +data/corpwatch_api_tables_csv_14aug21/cik_name_lookup.csv: + # Do nothing, the file is created outside the repo + noop + +# CorpWatch SEC 10-K filings data: basic company information +data/corpwatch_api_tables_csv_14aug21/company_info.csv: + # Do nothing, the file is created outside the repo + noop + +# CorpWatch SEC 10-K filings data: company locations +data/corpwatch_api_tables_csv_14aug21/company_locations.csv: + # Do nothing, the file is created outside the repo + noop + +# Process the PSC snapshot +data/uk/psc_snapshot_2021-08-02.rdata: data/uk/persons-with-significant-control-snapshot-2021-08-02.txt + Rscript code/data_preparation/uk/1a_process_psc_snapshot.r + +# Process the live snapshot of companies data +data/uk/uk_basic_companies_data_2021-08-01.rdata: data/uk/BasicCompanyDataAsOneFile-2021-08-01.csv data/uk/sic_2007_code_list.csv + Rscript code/data_preparation/uk/1b_process_companies_data.r + +# Convert the PSC snapshot to a company-participant clean data +output/uk/uk_organisations_participants_2021_long_2aug21.csv: data/uk/psc_snapshot_2021-08-02.rdata data/uk/uk_basic_companies_data_2021-08-01.rdata + Rscript code/data_preparation/uk/2_psc_snapshot_to_participants_panel + +# Create SEC 10-K Exhibit 21 company-participant evaluation set matched to PSC and live companies +data/uk/uk_parent_subsidiary_mapping_2020_2021_sec_filers_exhibit21.csv: data/corpwatch_api_tables_csv_14aug21/company_info.csv data/corpwatch_api_tables_csv_14aug21/cik_name_lookup.csv data/corpwatch_api_tables_csv_14aug21/company_locations.csv data/uk/psc_snapshot_2021-08-02.rdata data/uk/uk_basic_companies_data_2021-08-01.rdata + Rscript code/data_preparation/uk/3_prepare_affiliated_entities_evaluation_data.r + +# Classify the network into SH, ST, C, and I entities +output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv: output/uk/uk_organisations_participants_2021_long_2aug21.csv + jupyter nbconvert --ExecutePreprocessor.timeout=-1 --execute code/alphaicon_paper/1_compute_alphaicon.ipynb + +# Compute the shares by transitivity +transitiveshares := $(wildcard output/uk/transitive/uk_organisations_transitive_ownership_alpha*.csv) +$(transitiveshares): output/uk/uk_organisations_participants_2021_long_2aug21.csv output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv + jupyter nbconvert --ExecutePreprocessor.timeout=-1 --execute code/alphaicon_paper/1_compute_alphaicon.ipynb + +# Helper function implementing NPI/DPI computation +code/helper_functions/compute_power_index.r: + # Do nothing, the file is created outside the repo + noop + +# Compute the DPI shares +output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv: code/helper_functions/compute_power_index.r + Rscript code/alphaicon_paper/2_compute_npi_dpi.r + +# Compute the NPI shares +output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv: code/helper_functions/compute_power_index.r + Rscript code/alphaicon_paper/2_compute_npi_dpi.r + +# Perform the evaluation of algorithms at different k +output/alphaicon_paper/uk_orgs_algorithm_evaluation_recall.csv: output/uk/uk_organisations_participants_2021_long_2aug21.csv output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv $(transitiveshares) output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv data/uk/uk_parent_subsidiary_mapping_2020_2021_sec_filers_exhibit21.csv + Rscript code/alphaicon_paper/5_algorithm_evaluation.r + +# Perform the evaluation of algorithms at different path length +output/alphaicon_paper/uk_orgs_algorithm_evaluation_recall_by_pathlength.csv: output/uk/uk_organisations_participants_2021_long_2aug21.csv output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv $(transitiveshares) output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv data/uk/uk_parent_subsidiary_mapping_2020_2021_sec_filers_exhibit21.csv + Rscript code/alphaicon_paper/5_algorithm_evaluation.r + +# Create the ranking of top-100 holders by each method +output/alphaicon_paper/uk_organisations_top100_holders_2021_long_2aug21.csv: output/uk/uk_organisations_participants_2021_long_2aug21.csv output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv $(transitiveshares) output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv data/uk/uk_parent_subsidiary_mapping_2020_2021_sec_filers_exhibit21.csv + Rscript code/alphaicon_paper/6_rank_top_holders.r + +# Compute Kendall's tau-b rank correlation of per-company participants for different methods +output/alphaicon_paper/kendall_taus_participant_ranks_dpi_npi_transitive_uk_organisations_participants_2021_7sep21.csv: output/uk/uk_organisations_participants_2021_long_2aug21.csv output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv $(transitiveshares) output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv data/uk/uk_parent_subsidiary_mapping_2020_2021_sec_filers_exhibit21.csv + Rscript code/alphaicon_paper/6_rank_top_holders.r + +# α-ICON paper +alphaicon_paper: output/alphaicon_paper/uk_organisations_top100_holders_2021_long_2aug21.csv output/alphaicon_paper/uk_orgs_algorithm_evaluation_recall.csv output/alphaicon_paper/uk_orgs_algorithm_evaluation_recall_by_pathlength.csv DEPENDENCIES + Rscript code/helper_functions/install_dependencies.r + Rscript code/helper_functions/compute_power_index.r + Rscript code/alphaicon_paper/3_summary_stat_by_node_type.r + Rscript code/alphaicon_paper/4_illustrate_algorithm.r + Rscript code/alphaicon_paper/5_algorithm_evaluation.r + Rscript code/alphaicon_paper/6_rank_top_holders.r diff --git a/README.md b/README.md new file mode 100644 index 0000000..4fb7f5a --- /dev/null +++ b/README.md @@ -0,0 +1,113 @@ + + + + + + + + +

α-Indirect Control in Onion-like Networks

+ We propose a fast, accurate, and scalable algorithm to detect ultimate controlling entities in global corporate networks. α-ICON uses company-participant links to identify super-holders who exert control in networks with millions of nodes.

+ By exploiting onion-like properties of such networks we iteratively peel off the hanging vertices until a dense core remains. This procedure allows for a dramatic speed-up, uncovers meaningful structures, and handles circular ownership by design.

+ Read our paper with the applications. As a toy example, consider the below corporate network where α-ICON designates Mr Philip Mactaggart (in green) as the super-holder exerting control over all other entities, directly or indirectly held: +
+ + + +## Installation + +To replicate the analysis you need to clone this repository to your local machine. Then you need to install the required versions of R dependencies listed in `DEPENDENCIES`. `code/helper_functions/install_dependencies.r` automates this step, but you may still need to install the underlying libraries manually with [Homebrew](https://brew.sh) or `apt-get`, depending on your platform. Finally, you need to declare the environment variable `ALPHAICON_PATH` in bash pointing to the repository. Or, better yet, you can add it in your `.Renviron` with +```console +user:~$ echo 'ALPHAICON_PATH="path_to_cloned_repository"' >> ~/.Renviron +``` + +The repository does not contain any data due to its size (10+ GB unpacked); most files in `data/` and `output/` folders are zero-byte placeholders. We provide a public Google Drive folder with the populated `data/` and `output/` directories. You may still need to unzip them manually. + +A self-contained example of α-ICON is also available in Google Colaboratory. + +## Repository structure + +``` +data/ +├─uk/ # Data on UK companies and participants +| ├ persons-with-significant-control-snapshot-2021-08-02.txt # Source PSC data +| ├ BasicCompanyDataAsOneFile-2021-08-01.csv # Source data on live companies in UK +| ├ sic_2007_code_list.csv # Standard Industrial Classification codes +| ├ psc_snapshot_2021-08-02.rdata # Processed People with Significant Control data +| └ uk_basic_companies_data_2021-08-01.rdata # Processed Basic Company data +| +├─corpwatch_api_tables_csv_14aug21/ # Data from CorpWatch Dump +| ├ company_info.csv # Source companies data from SEC filings +| ├ cik_name_lookup.csv # Company name variants in SEC filings +| └ company_locations.csv # Company locations in SEC filings +| +code/ +├─helper_functions/ +| ├ install_dependencies.r # Installs R dependencies used in the project +| └ compute_power_index.r # Computes Mizuno et al. (2020) DPI and NPI +| +├─data_preparation/ +| └─uk/ +| ├ 1a_process_psc_snapshot.r # Prepare source PSC data +| ├ 1b_process_companies_data.r # Prepare source data on live companies +| ├ 2_psc_snapshot_to_participants_panel.r # PSC data to entity-participant info +| └ 3_prepare_affiliated_entities_evaluation_data.r # Process CorpWatch data +| +├─alphaicon_paper/ +| ├ 1_compute_alphaicon.ipynb # Jupyter Notebook w. α-ICON (also on Google Colab) +| ├ 2_compute_npi_dpi.r # Computation of Direct and Network Power Indices +| ├ 3_summary_stat_by_node_type.r # UK PSC network statistics by core/SH/ST/I +| ├ 4_illustrate_algorithm.r # Visualise selected networks +| ├ 5_algorithm_evaluation.r # Compute recall @ k and l for various algorithms +| └ 6_rank_top_holders.r # Examine the rankings of super-holders & Kendall's tau +| +output/ +├─uk/ +| ├ uk_organisations_participants_2021_long_2aug21.csv # Primary ownership data +| ├ uk_organisations_participation_graph_core_periphery_membership_6aug21.csv +| ├─npi_dpi/ # Mizuno et al. (2020) computation results on UK PSC data +| | └─10000iter/ +| | ├ uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv # DPI +| | └ uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv # NPI +| | +| ├─transitive/ # Computed α-ICON shares on equity shares or DPI weights +| | ├ uk_organisations_transitive_ownership_alpha*_2021_long_2aug21.csv # α = * +| | └ uk_organisations_transitive_ownership_alpha*_2021_long_7sep21_dpi_....csv +| | +└─alphaicon_paper/ + ├ uk_orgs_algorithm_evaluation_recall.csv # Algorithm recall by k + ├ uk_orgs_algorithm_evaluation_recall_by_pathlength.csv # Algorithm recall by l + ├ uk_organisations_top100_holders_2021_long_2aug21.csv # Top SH in PSC network + ├ uk_organisations_top100_holders_diff_npi_dpi_2021_long_2aug21.csv # Top-100 SH + | # with the largest difference betw. total DPI and NPI + ├ uk_organisations_top100_holders_diff_transitive_dpi_2021_long_2aug21.csv + | # Top-100 SH with the largest difference betw. total DPI and α-ICON (α=0.999) + ├ uk_organisations_top100_holders_diff_transitive_npi_2021_long_2aug21.csv + | # Top-100 SH with the largest difference betw. total NPI and α-ICON (α=0.999) + └ network_examples/ # Visualisations of selected networks +``` + +We provide an annotated `Makefile` that documents the data analysis in our papers. + +To build the ‘α-Indirect Control in Onion-like Networks’ paper run `make alphaicon_paper` when in the repository folder. + +Please note that those commands will not produce any publication-ready output files (e.g. tables or figures): the export statements are commented out in the code. Our intention is to make the analysis pipeline transparent to the readers with the aid of `make`: + +![alphaicon_dependencies](https://user-images.githubusercontent.com/3776887/133301812-87f25078-de5a-4bea-b9b0-0e6addb51b2b.png) + + +## Licence +Creative Commons License
+Creative Commons License Attribution 4.0 International (CC BY 4.0). + +Copyright © the respective contributors, as shown by the `AUTHORS` file. + +People with Significant Control data is distributed by Companies House under Open Government Licence v3.0. + +Free Company Data Product is distributed by Companies House under Open Government Licence v3.0. + + +## Contacts +Dmitriy Skougarevskiy, Ph.D. + +dskougarevskiy@eu.spb.ru diff --git a/code/alphaicon_paper/1_compute_alphaicon.ipynb b/code/alphaicon_paper/1_compute_alphaicon.ipynb new file mode 100644 index 0000000..abc0ee1 --- /dev/null +++ b/code/alphaicon_paper/1_compute_alphaicon.ipynb @@ -0,0 +1,1349 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "α-ICON: an application to UK PSC data", + "provenance": [], + "collapsed_sections": [], + "toc_visible": true + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "Cifd3_bJhpUo" + }, + "source": [ + "## Introduction\n", + "This notebook demonstrates α-ICON (Indirect Control in Onion-like networks) --- an algorithm to identify ultimate controlling entities in corporate networks. We provide a self-contained application as a companion to [our paper](https://arxiv.org/abs/2109.07181) and [repository](https://github.com/eusporg/alphaicon).\n", + "\n", + "We will be working with the data from the UK's People with Significant Control register with 4.2 million companies and 4 million of their holders as of August, 2021.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "W2vhy5c6jmBi" + }, + "source": [ + "## Data loading & import\n", + "All data pre-processing of the [PSC snapshot](http://download.companieshouse.gov.uk/en_pscdata.html) is done in the [repository](https://github.com/eusporg/alphaicon) (`code/data_preparation/uk`). The resulting data is stored in a [public folder](https://drive.google.com/drive/folders/10Tq-b4BVsG3gmq2JVa026Nilzj8eojNB) on Google Drive.\n", + "\n", + "We will be working with two files:\n", + "\n", + "* `output/uk/uk_organisations_participants_2021_long_2aug21.zip` --- an archived \n", + "CSV with company ID-participant ID mapping from the PSC data and the respective equity shares.\n", + "* `output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.zip` --- an archived CSV with company ID-participant ID mapping from the PSC data and their Direct Power Indices ([Mizuno, Doi, and Kurizaki (2020)](https://doi.org/10.1371/journal.pone.0237862)). \n", + "\n", + "\n", + " \n", + "\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "FhocHBOyvbsu", + "outputId": "c6f1b1a0-ec59-49a0-abf0-1a3e08a10aab" + }, + "source": [ + "# Download and unarchive the data files from the Google Drive public link\n", + "!pip install gdown\n", + "\n", + "!gdown https://drive.google.com/uc?id=1rpi5FEPrKfx9vIwDpr_mfK6L971rrtL7 \n", + "!unzip uk_organisations_participants_2021_long_2aug21.zip\n", + " \n", + "!gdown https://drive.google.com/uc?id=1UBsF3RBMvjF7dBb1PG-wXhEBv3whoMLG\n", + "!unzip uk_organisations_participants_2021_long_7sep21_dpi_10000iter.zip\n", + " \n", + "import pandas as pd\n", + "import scipy\n", + "from os.path import join\n", + "import matplotlib.pyplot as plt\n", + "import scipy.sparse as sp\n", + "from scipy.sparse.linalg import eigs\n", + "import numpy as np\n", + "from itertools import combinations\n", + "import tqdm\n", + "import networkx as nx\n", + "import gc" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Requirement already satisfied: gdown in /usr/local/lib/python3.7/dist-packages (3.6.4)\n", + "Requirement already satisfied: six in /usr/local/lib/python3.7/dist-packages (from gdown) (1.15.0)\n", + "Requirement already satisfied: tqdm in /usr/local/lib/python3.7/dist-packages (from gdown) (4.62.0)\n", + "Requirement already satisfied: requests in /usr/local/lib/python3.7/dist-packages (from gdown) (2.23.0)\n", + "Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests->gdown) (2.10)\n", + "Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests->gdown) (3.0.4)\n", + "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests->gdown) (1.24.3)\n", + "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.7/dist-packages (from requests->gdown) (2021.5.30)\n", + "Downloading...\n", + "From: https://drive.google.com/uc?id=1rpi5FEPrKfx9vIwDpr_mfK6L971rrtL7\n", + "To: /content/uk_organisations_participants_2021_long_2aug21.zip\n", + "74.3MB [00:00, 179MB/s]\n", + "Archive: uk_organisations_participants_2021_long_2aug21.zip\n", + " inflating: uk_organisations_participants_2021_long_2aug21.csv \n", + "Downloading...\n", + "From: https://drive.google.com/uc?id=1UBsF3RBMvjF7dBb1PG-wXhEBv3whoMLG\n", + "To: /content/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.zip\n", + "74.7MB [00:00, 121MB/s] \n", + "Archive: uk_organisations_participants_2021_long_7sep21_dpi_10000iter.zip\n", + " inflating: uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv \n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7GgWACrsmkM3" + }, + "source": [ + "### Import without downloading the data" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "6dTPRzNvMLzP" + }, + "source": [ + "import pandas as pd\n", + "import scipy\n", + "from os.path import join\n", + "import matplotlib.pyplot as plt\n", + "import scipy.sparse as sp\n", + "from scipy.sparse.linalg import eigs\n", + "import numpy as np\n", + "from itertools import combinations\n", + "import tqdm\n", + "import networkx as nx\n", + "import gc" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "879Esu8aV7VY" + }, + "source": [ + "# Data processing" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ZiKLqZKfvOSX" + }, + "source": [ + "DPI = 1 # use dpi data\n", + "SH_MODE = 1 # only SH nodes are considered final holders\n", + "LEVELS = 20 # this parameter should be equal or exceed the number of \"onion layers\" in data. 20 is a bit of overkill for safety" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "pzZlT_OlUNcD" + }, + "source": [ + "if DPI:\n", + " name = 'uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv'\n", + " data = pd.read_csv(name, engine='python', dtype={'participant': str, 'entity': str})\n", + "else:\n", + " name = 'uk_organisations_participants_2021_long_2aug21.csv'\n", + " data = pd.read_csv(name, engine='python', dtype={'participant_id': str, 'company_number': str})" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "hGJzvLfvmtGZ" + }, + "source": [ + "### Primary processing" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "n_H7C2N_QZ-4", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 203 + }, + "outputId": "4fb79d1f-2ea3-4673-ba4f-758c7ca98dca" + }, + "source": [ + "data = data.dropna()\n", + "\n", + "if DPI:\n", + " data = data.astype({'dpi': float, 'participant':str, 'entity':str})\n", + " data = data.rename(columns={\"entity\": \"organisation_inn\",\n", + " 'participant': 'participant_id',\n", + " 'dpi': 'equity_share'})\n", + " \n", + " # columns are renamed for consistency with further code\n", + " data=data[['organisation_inn','participant_id','equity_share']]\n", + "\n", + "else:\n", + " data = data.astype({'equity_share': float, 'participant_id':str, 'company_number':str})\n", + " data = data.rename(columns={\"company_number\": \"organisation_inn\"})\n", + "\n", + "data = data[data['equity_share'] > 0]\n", + "data = data[data.participant_id != data.organisation_inn]\n", + "\n", + "# normalization of in-edge weights to 1\n", + "gdata = data.groupby('organisation_inn').sum().reset_index()\n", + "dict_companies = dict(gdata.values)\n", + "data['equity_share'] = data['equity_share']/np.array([dict_companies[num] for num in data['organisation_inn']])\n", + "\n", + "# finding SH and ST nodes\n", + "data['super_holder']=~pd.Series(data.participant_id).isin(data.organisation_inn)\n", + "data['super_target']=~pd.Series(data.organisation_inn).isin(data.participant_id)\n", + "\n", + "\n", + "data.head()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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organisation_innparticipant_idequity_sharesuper_holdersuper_target
000000133THE PENINSULAR AND ORIENTAL STEAM NAVIGATION C...1.0000TrueTrue
100000140NICHOLLS & CLARKE LIMITED$NA$NA1.0000TrueTrue
200000295COLIN$NA$WELLS$1967$20.4997TrueTrue
300000295MOIRA$RUTH$SLEIGHT$1959$20.5003TrueTrue
400000371DAVID$JOHN$ROWLAND$1945$61.0000TrueTrue
\n", + "
" + ], + "text/plain": [ + " organisation_inn ... super_target\n", + "0 00000133 ... True\n", + "1 00000140 ... True\n", + "2 00000295 ... True\n", + "3 00000295 ... True\n", + "4 00000371 ... True\n", + "\n", + "[5 rows x 5 columns]" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XuR1-NTHm72S" + }, + "source": [ + "### Edges analysis" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ZlCoK5TUW75I", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "1a8e1a01-ddae-435d-ae0d-15a81e8ea11a" + }, + "source": [ + "e = len(data)\n", + "e1 = len(data[(data['super_holder'] == True) & (data['super_target'] == True)])\n", + "e2 = len(data[(data['super_holder'] == True) & (data['super_target'] == False)])\n", + "e3 = len(data[(data['super_holder'] == False) & (data['super_target'] == True)])\n", + "e4 = len(data[(data['super_holder'] == False) & (data['super_target'] == False)])\n", + "print('total edges:', e)\n", + "print('SH -> ST edges', e1, '({0:.2f}%)'.format(e1/e*100))\n", + "print('SH -> ~ST edges', e2, '({0:.2f}%)'.format(e2/e*100))\n", + "print('~SH -> ST edges', e3, '({0:.2f}%)'.format(e3/e*100))\n", + "print('~SH -> ~ST edges', e4, '({0:.2f}%)'.format(e4/e*100))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "total edges: 5096560\n", + "SH -> ST edges 4642420 (91.09%)\n", + "SH -> ~ST edges 151849 (2.98%)\n", + "~SH -> ST edges 256996 (5.04%)\n", + "~SH -> ~ST edges 45295 (0.89%)\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "w9wQh6jRWHOM" + }, + "source": [ + "# Network analysis" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5tiXjWcWnAuv" + }, + "source": [ + "### Core creation" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "gvnRCxRAdppC", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4acd7f4c-fb1d-473d-8d04-c1d3c087e394" + }, + "source": [ + "print('pruning SH and ST nodes of the external layer...')\n", + "rdata = data.loc[(data['super_holder'] == False) & (data['super_target'] == False)]\n", + "edges_left = len(rdata)\n", + "print('layer 1:', edges_left, 'edges left')\n", + "\n", + "crdata = rdata.copy()\n", + "\n", + "for i in range(1, LEVELS):\n", + " is_sh = ~pd.Series(rdata.participant_id).isin(rdata.organisation_inn)\n", + " current_unique_sh = pd.Series(rdata.loc[is_sh == True].participant_id.value_counts().keys())\n", + " print('current SH', len(current_unique_sh))\n", + " curr_sh_prop_name = 'is_level_' + str(i) + '_SH'\n", + " crdata[curr_sh_prop_name] = pd.Series(crdata.participant_id).isin(current_unique_sh)\n", + "\n", + " is_st = ~pd.Series(rdata.organisation_inn).isin(rdata.participant_id)\n", + " current_unique_st = pd.Series(rdata.loc[is_st == True].organisation_inn.value_counts().keys())\n", + " print('current ST', len(current_unique_st))\n", + " curr_st_prop_name = 'is_level_' + str(i) + '_ST'\n", + " crdata[curr_st_prop_name] = pd.Series(crdata.organisation_inn).isin(current_unique_st)\n", + "\n", + " rdata = rdata.loc[(is_sh == False) & (is_st == False)]\n", + " print('layer {}: {} edges left'.format(i+1, len(rdata)))\n", + "\n", + "data_core = rdata.copy()\n", + "core_holders = rdata.participant_id.value_counts()\n", + "print('unique core holders:', len(core_holders))\n", + "core_targets = rdata.organisation_inn.value_counts()\n", + "print('unique core targets:', len(core_targets))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "pruning SH and ST nodes of the external layer...\n", + "layer 1: 45295 edges left\n", + "current SH 17777\n", + "current ST 28628\n", + "layer 2: 9102 edges left\n", + "current SH 2467\n", + "current ST 3981\n", + "layer 3: 3489 edges left\n", + "current SH 874\n", + "current ST 1220\n", + "layer 4: 1626 edges left\n", + "current SH 348\n", + "current ST 416\n", + "layer 5: 964 edges left\n", + "current SH 149\n", + "current ST 167\n", + "layer 6: 685 edges left\n", + "current SH 65\n", + "current ST 67\n", + "layer 7: 578 edges left\n", + "current SH 29\n", + "current ST 27\n", + "layer 8: 527 edges left\n", + "current SH 14\n", + "current ST 14\n", + "layer 9: 505 edges left\n", + "current SH 3\n", + "current ST 3\n", + "layer 10: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 11: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 12: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 13: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 14: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 15: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 16: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 17: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 18: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 19: 502 edges left\n", + "current SH 0\n", + "current ST 0\n", + "layer 20: 502 edges left\n", + "unique core holders: 498\n", + "unique core targets: 498\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ycGL0vJwnIBG" + }, + "source": [ + "### Classification of the nodes" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Pq37803BGnPf", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "84c7e51d-1d23-4f78-ff69-310013ae7526" + }, + "source": [ + "super_holders, sh_counts=np.unique(data[data['super_holder']==True].participant_id, return_counts=True)\n", + "super_targets, st_counts=np.unique(data[data['super_target']==True].organisation_inn, return_counts=True)\n", + "print('SH', len(super_holders))\n", + "print('ST', len(super_targets))\n", + "\n", + "# core members\n", + "core_inn = np.array(data_core.participant_id.value_counts().index)\n", + "print('Core', len(core_inn))\n", + "\n", + "# intermediaries\n", + "not_super_holders=list(data[(data['super_holder']==False)].participant_id)\n", + "not_super_targets=list(data[(data['super_target']==False)].organisation_inn)\n", + "not_super=np.array(list(set(not_super_holders+not_super_targets)))\n", + "inter = not_super[np.isin(not_super, core_inn)==False]\n", + "print('Intermediaries', len(inter))\n", + "\n", + "\n", + "# create a dataframe\n", + "firms_sh = pd.DataFrame({'company_number/id': super_holders, 'type': np.array(['SH']*len(super_holders))})\n", + "firms_st = pd.DataFrame({'company_number/id': super_targets, 'type': np.array(['ST']*len(super_targets))})\n", + "firms_core = pd.DataFrame({'company_number/id': core_inn, 'type': np.array(['C']*len(core_inn))})\n", + "firms_inter = pd.DataFrame({'company_number/id': inter, 'type': np.array(['I']*len(inter))})\n", + "\n", + "dst = pd.concat([firms_sh, firms_st, firms_core, firms_inter]).reset_index().drop(['index'], axis=1)\n", + "\n", + "assert len(list(set(list(set(data.participant_id))+list(set(data.organisation_inn)))))==len(dst)\n", + "\n", + "dst.to_csv('dst_british.csv', encoding='utf-8-sig')\n" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "SH 3770439\n", + "ST 4047325\n", + "Core 498\n", + "Intermediaries 151803\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "RUwpwzHunNDo" + }, + "source": [ + "### Isolates detection" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "kqq_uMv2J-nT", + "outputId": "23ce817b-bf9f-45ea-acbb-bdcd80e7604f" + }, + "source": [ + "all_isolates = {i: [] for i in range(1, LEVELS)}\n", + "\n", + "data_without_sh = data.loc[(data['super_holder'] == False)]\n", + "new_sh = ~pd.Series(data_without_sh.participant_id).isin(data_without_sh.organisation_inn)\n", + "new_unique_sh = data_without_sh.loc[new_sh == True].participant_id.value_counts().keys().values\n", + "#print('new unique sh', len(new_unique_sh))\n", + "\n", + "data_without_st = data.loc[(data['super_target'] == False)]\n", + "new_st = ~pd.Series(data_without_st.organisation_inn).isin(data_without_st.participant_id)\n", + "new_unique_st = data_without_st.loc[new_st == True].organisation_inn.value_counts().keys().values\n", + "#print('new unique st', len(new_unique_st))\n", + "\n", + "isolates = list(set(new_unique_sh).intersection(set(new_unique_st)))\n", + "print('isolates of layer 1:', len(isolates))\n", + "all_isolates[1] = isolates\n", + "\n", + "\n", + "rdata = data.loc[(data['super_holder'] == False) & (data['super_target'] == False)]\n", + "for i in range(1, LEVELS):\n", + " is_sh = ~pd.Series(rdata.participant_id).isin(rdata.organisation_inn)\n", + " is_st = ~pd.Series(rdata.organisation_inn).isin(rdata.participant_id)\n", + " rdata_without_sh = rdata.loc[is_sh == False]\n", + " rdata_without_st = rdata.loc[is_st == False]\n", + "\n", + " new_sh = ~pd.Series(rdata_without_sh.participant_id).isin(rdata_without_sh.organisation_inn)\n", + " new_st = ~pd.Series(rdata_without_st.organisation_inn).isin(rdata_without_st.participant_id)\n", + "\n", + " new_unique_sh = rdata_without_sh.loc[new_sh == True].participant_id.value_counts().keys().values\n", + " new_unique_st = rdata_without_st.loc[new_st == True].organisation_inn.value_counts().keys().values\n", + "\n", + " isolates = list(set(new_unique_sh).intersection(set(new_unique_st)))\n", + " print('isolates of layer {}: {}'.format(i+1, len(isolates)))\n", + " all_isolates[i+1] = isolates\n", + "\n", + " rdata = rdata.loc[(is_sh == False) & (is_st == False)]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "isolates of layer 1: 91167\n", + "isolates of layer 2: 3338\n", + "isolates of layer 3: 635\n", + "isolates of layer 4: 271\n", + "isolates of layer 5: 77\n", + "isolates of layer 6: 43\n", + "isolates of layer 7: 11\n", + "isolates of layer 8: 7\n", + "isolates of layer 9: 5\n", + "isolates of layer 10: 0\n", + "isolates of layer 11: 0\n", + "isolates of layer 12: 0\n", + "isolates of layer 13: 0\n", + "isolates of layer 14: 0\n", + "isolates of layer 15: 0\n", + "isolates of layer 16: 0\n", + "isolates of layer 17: 0\n", + "isolates of layer 18: 0\n", + "isolates of layer 19: 0\n", + "isolates of layer 20: 0\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ycHsNTtvuLmh" + }, + "source": [ + "coredata = crdata.copy()\n", + "coredata['SH_level'] = np.nan\n", + "coredata['ST_level'] = np.nan\n", + "\n", + "drop_cols = []\n", + "for i in range(1,LEVELS):\n", + " curr_sh_prop_name = 'is_level_' + str(i) + '_SH'\n", + " curr_st_prop_name = 'is_level_' + str(i) + '_ST'\n", + " coredata.loc[coredata[curr_sh_prop_name] == True, 'SH_level'] = i+1\n", + " coredata.loc[coredata[curr_st_prop_name] == True, 'ST_level'] = i+1\n", + " drop_cols.extend([curr_sh_prop_name, curr_st_prop_name])\n", + "\n", + "coredata.drop(columns=drop_cols, inplace = True)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 417 + }, + "id": "k7O3gIGWE7pc", + "outputId": "ef7fc413-cb65-462e-90f6-e08d61308062" + }, + "source": [ + "coredata" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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organisation_innparticipant_idequity_sharesuper_holdersuper_targetSH_levelST_level
700000529059950301.0000FalseFalse3.0NaN
1000000866052535451.0000FalseFalseNaN2.0
1100000950035260471.0000FalseFalse2.02.0
1300001160064526791.0000FalseFalse4.02.0
1900001419052823421.0000FalseFalse3.0NaN
........................
5256244SO307293SC2997360.4969FalseFalse4.02.0
5256255SO307300039428800.5069FalseFalse2.02.0
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5256338ZC000195016121781.0000FalseFalseNaN3.0
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45295 rows × 7 columns

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" + ], + "text/plain": [ + " organisation_inn participant_id ... SH_level ST_level\n", + "7 00000529 05995030 ... 3.0 NaN\n", + "10 00000866 05253545 ... NaN 2.0\n", + "11 00000950 03526047 ... 2.0 2.0\n", + "13 00001160 06452679 ... 4.0 2.0\n", + "19 00001419 05282342 ... 3.0 NaN\n", + "... ... ... ... ... ...\n", + "5256244 SO307293 SC299736 ... 4.0 2.0\n", + "5256255 SO307300 03942880 ... 2.0 2.0\n", + "5256256 SO307300 11677818 ... 2.0 2.0\n", + "5256265 SO307305 09431213 ... 3.0 2.0\n", + "5256338 ZC000195 01612178 ... NaN 3.0\n", + "\n", + "[45295 rows x 7 columns]" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MkNwGFp14WXE" + }, + "source": [ + "# Full adjacency matrix calculation\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "1MsJj0bWdYIn", + "outputId": "aa88a7c1-b556-443f-b63c-f9cbc066c7ff" + }, + "source": [ + "all_holders=data.participant_id.value_counts()\n", + "all_targets=data.organisation_inn.value_counts()\n", + "all_nodes = list(set(all_holders.keys()) | set(all_targets.keys()))\n", + "sorted(all_nodes)\n", + "node_inds = dict(zip(all_nodes, range(len(all_nodes))))\n", + "reverse_node_inds = dict(zip(range(len(all_nodes)), all_nodes))\n", + "print('all nodes:', len(all_nodes))\n" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "all nodes: 7970065\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VJjcD-cunrX0" + }, + "source": [ + "### Transitive ownership calculation" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "JR6mpUUn3U9r" + }, + "source": [ + "def get_trans_ownership(alpha):\n", + "\n", + " print('Started calculations for alpha = {}'.format(alpha))\n", + " print('Preparing adjacency matrix...')\n", + " ADJ = sp.lil_matrix((len(all_nodes), len(all_nodes)), dtype = np.float32)\n", + "\n", + " print('non-zero elements:', ADJ.nnz)\n", + " # -------------------------- 1 - Superholders --------------------------------\n", + " print('Processing intermediate layers superholders...')\n", + " unique_curr_lvl_sh = {}\n", + " for i in range(1, LEVELS):\n", + " big_core_nodes_of_curr_level = coredata[coredata['SH_level'] == i].participant_id.value_counts().keys().values\n", + " isolates_of_curr_level = all_isolates[i]\n", + " all_sh_of_curr_level = np.concatenate((big_core_nodes_of_curr_level, isolates_of_curr_level))\n", + " unique_curr_lvl_sh[i] = all_sh_of_curr_level\n", + " \n", + " edge_ends_at_curr_lvl_sh = {i: pd.Series(data.organisation_inn).isin(unique_curr_lvl_sh[i]) for i in range(1,LEVELS)}\n", + " edges_of_interest_inter_sh = {i: data[edge_ends_at_curr_lvl_sh[i] == True] for i in range(1,LEVELS)}\n", + "\n", + " for lvl in range(1, LEVELS):\n", + " #print('processing layer {} super holders'.format(lvl))\n", + " edges = edges_of_interest_inter_sh[lvl]\n", + " shares = edges.equity_share.values\n", + " holders = edges.participant_id.values\n", + " curr_lvl_super_holders = edges.organisation_inn.values\n", + " \n", + " holders_pos_in_adj = np.array([node_inds[h] for h in holders])\n", + " curr_lvl_sh_pos_in_adj = np.array([node_inds[sh] for sh in curr_lvl_super_holders])\n", + "\n", + " target_inds_from_prev_level = np.array([])\n", + " holder_inds_from_prev_level = np.array([])\n", + " shares_from_prev_level = np.array([])\n", + "\n", + " # no need to define zero-level SH since they have zero ownership vectors\n", + " target_inds_from_prev_level, holder_inds_from_prev_level = ADJ[holders_pos_in_adj, :].nonzero()\n", + " shares_from_prev_level = ADJ[holders_pos_in_adj[target_inds_from_prev_level],\n", + " holder_inds_from_prev_level].A[0]\n", + " \n", + " for i, share in enumerate(shares):\n", + " ADJ[curr_lvl_sh_pos_in_adj[i], holders_pos_in_adj[i]] = share\n", + "\n", + " for i, prev_share in enumerate(shares_from_prev_level):\n", + " ADJ[curr_lvl_sh_pos_in_adj[target_inds_from_prev_level][i],\n", + " holder_inds_from_prev_level[i]] += prev_share*alpha\n", + " \n", + " print('non-zero elements:', ADJ.nnz)\n", + "\n", + " # --------------------------- 2 - Core construction ------------------------------------------\n", + " core_nodes = list(set(core_holders.keys()) | set(core_targets.keys()))\n", + " sorted(core_nodes)\n", + " core_node_inds = dict(zip(core_nodes, range(len(core_nodes))))\n", + " global_reverse_core_node_inds = dict(zip(range(len(core_nodes)), [node_inds[cnode] for cnode in core_nodes]))\n", + "\n", + " core_shares = data_core.equity_share.values.astype(float)\n", + " core_row_inds = np.array([core_node_inds[ch] for ch in data_core.participant_id.values])\n", + " core_col_inds = np.array([core_node_inds[ct] for ct in data_core.organisation_inn.values])\n", + "\n", + " W = sp.coo_matrix((core_shares, (core_row_inds, core_col_inds))).tocsc()\n", + " G = W.dot(sp.linalg.inv(sp.eye(W.shape[0]).tocsc() - alpha*W)) # precise transitivity matrix calculation for core\n", + "\n", + "\n", + " # --------------------- 3.1 - edges projecting from super-holders of previous levels to core--------------\n", + " print('Adding information from core...')\n", + " edge_ends_at_core = pd.Series(data.organisation_inn).isin(pd.Series(core_nodes))\n", + " edges_of_interest_core = data[edge_ends_at_core == True]\n", + " curr_core_nodes = edges_of_interest_core.organisation_inn.values\n", + " ext_holders = edges_of_interest_core.participant_id.values\n", + " ext_shares = edges_of_interest_core.equity_share.values\n", + "\n", + " ext_holders_pos_in_adj = np.array([node_inds[h] for h in ext_holders])\n", + " curr_core_nodes_pos_in_adj = np.array([node_inds[sh] for sh in curr_core_nodes])\n", + "\n", + " target_inds, ext_holder_inds = ADJ[ext_holders_pos_in_adj, :].nonzero()\n", + " shares_from_sh_to_core = ADJ[ext_holders_pos_in_adj[target_inds], ext_holder_inds].A[0]\n", + "\n", + " for i, share in enumerate(ext_shares):\n", + " ADJ[curr_core_nodes_pos_in_adj[i], ext_holders_pos_in_adj[i]] = share\n", + "\n", + " for i, prev_share in enumerate(shares_from_sh_to_core):\n", + " ADJ[curr_core_nodes_pos_in_adj[target_inds][i], ext_holder_inds[i]] += prev_share*alpha\n", + "\n", + "\n", + " # ------------------------------------- 3.2 edges inside the core ------------------------------------\n", + " inside_core_targets = np.array([global_reverse_core_node_inds[ch] for ch in G.nonzero()[1]])\n", + " inside_core_holders = np.array([global_reverse_core_node_inds[ch] for ch in G.nonzero()[0]])\n", + " inside_core_shares = G.data\n", + "\n", + " target_inds_core, holder_inds_core = ADJ[inside_core_holders, :].nonzero()\n", + " shares_from_prev_level = ADJ[inside_core_holders[target_inds_core], holder_inds_core].A[0]\n", + "\n", + " for i, share in enumerate(inside_core_shares):\n", + " ADJ[inside_core_targets[i], inside_core_holders[i]] = share\n", + "\n", + " for i, prev_share in enumerate(shares_from_prev_level):\n", + " ADJ[inside_core_targets[target_inds_core][i], holder_inds_core[i]] += prev_share*alpha\n", + "\n", + " print('non-zero elements:', ADJ.nnz)\n", + "\n", + "\n", + " # -------------------------------- 4 Supertargets of internal levels ----------------------------------\n", + " print('Processing intermediate layers supertargets...')\n", + " unique_curr_lvl_st = {}\n", + " for i in range(1,LEVELS):\n", + " big_core_nodes_of_curr_level = coredata[coredata['ST_level'] == i].organisation_inn.value_counts().keys().values\n", + " isolates_of_curr_level = all_isolates[i]\n", + " all_st_of_curr_level = np.concatenate((big_core_nodes_of_curr_level, isolates_of_curr_level))\n", + " #print(len(all_st_of_curr_level))\n", + " unique_curr_lvl_st[i] = all_st_of_curr_level\n", + "\n", + " edge_ends_at_curr_lvl_st = {i: pd.Series(data.organisation_inn).isin(unique_curr_lvl_st[i]) for i in range(1,LEVELS)}\n", + " edges_of_interest_inter_st = {i: data[edge_ends_at_curr_lvl_st[i] == True] for i in range(1,LEVELS)}\n", + "\n", + " for lvl in range(LEVELS-1, 0, -1):\n", + " #print('processing layer {} ST'.format(lvl))\n", + "\n", + " edges = edges_of_interest_inter_st[lvl]\n", + " shares = edges.equity_share.values\n", + " holders = edges.participant_id.values\n", + " curr_lvl_super_targets = edges.organisation_inn.values\n", + " \n", + " holders_pos_in_adj = np.array([node_inds[h] for h in holders])\n", + " curr_lvl_st_pos_in_adj = np.array([node_inds[sh] for sh in curr_lvl_super_targets])\n", + "\n", + " target_inds_from_prev_level, holder_inds_from_prev_level = ADJ[holders_pos_in_adj, :].nonzero()\n", + " shares_from_prev_level = ADJ[holders_pos_in_adj[target_inds_from_prev_level],\n", + " holder_inds_from_prev_level].A[0]\n", + " \n", + " #for i, share in enumerate(shares):\n", + " ADJ[curr_lvl_st_pos_in_adj, holders_pos_in_adj] = shares\n", + " \n", + " for i, prev_share in enumerate(shares_from_prev_level):\n", + " ADJ[curr_lvl_st_pos_in_adj[target_inds_from_prev_level][i],\n", + " holder_inds_from_prev_level[i]] += prev_share*alpha\n", + " \n", + " print('non-zero elements:', ADJ.nnz)\n", + "\n", + " # ------------------------------------ 5 - Supertargets ----------------------------------------\n", + " print('Processing supertargets...')\n", + " edges_of_interest_st = data[data['super_target'] == True]\n", + " shares = edges_of_interest_st.equity_share.values\n", + " holders = edges_of_interest_st.participant_id.values\n", + " super_targets = edges_of_interest_st.organisation_inn.values\n", + "\n", + " holders_pos_in_adj = np.array([node_inds[h] for h in holders])\n", + " st_pos_in_adj = np.array([node_inds[sh] for sh in super_targets])\n", + "\n", + " target_inds_from_prev_level, holder_inds_from_prev_level = ADJ[holders_pos_in_adj, :].nonzero()\n", + " shares_from_prev_level = ADJ[holders_pos_in_adj[target_inds_from_prev_level],\n", + " holder_inds_from_prev_level].A[0]\n", + " \n", + " #for i, share in enumerate(shares):\n", + " ADJ[st_pos_in_adj, holders_pos_in_adj] = shares\n", + " \n", + " # since we will not perform matrix slicing anymore, we may construct an additional\n", + " # coo matrix and sum it up with the main one:\n", + " ST_ADJ = sp.coo_matrix((shares_from_prev_level*alpha, (st_pos_in_adj[target_inds_from_prev_level], holder_inds_from_prev_level)),\n", + " shape = (len(all_nodes), len(all_nodes)))\n", + " \n", + " FINAL_ADJ = ST_ADJ.tolil() + ADJ\n", + "\n", + " print('non-zero elements:', FINAL_ADJ.nnz)\n", + "\n", + " # ------------------------------ 6 - Conversion to csv -----------------------------------------\n", + " all_trans_targets, all_trans_holders = FINAL_ADJ.nonzero()\n", + " all_trans_shares = FINAL_ADJ[all_trans_targets, all_trans_holders].A[0]\n", + " trans_data = pd.DataFrame()\n", + "\n", + " trans_data['company_number'] = [reverse_node_inds[tt] for tt in all_trans_targets]\n", + " trans_data['participant_id'] = [reverse_node_inds[th] for th in all_trans_holders]\n", + " trans_data['share'] = all_trans_shares\n", + "\n", + " print('Final dataframe has {} rows'.format(len(all_trans_shares)))\n", + "\n", + " del ADJ\n", + " del FINAL_ADJ\n", + " del ST_ADJ\n", + "\n", + " gc.collect()\n", + " \n", + " return trans_data\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Hu1mhRopnTwW" + }, + "source": [ + "### Launcher" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "T92SOjxhJxVr", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "945773ba-6859-4bbf-c926-172226312add" + }, + "source": [ + "# Note that you may need to change path to the data in CORP_PATH\n", + "from google.colab import drive\n", + "drive.mount('/content/drive/', force_remount=True)\n", + "\n", + "if DPI:\n", + " CORP_PATH = '/content/drive/My Drive/Colab Notebooks/DataRoot/Corporate control/British data DPI'\n", + "else:\n", + " CORP_PATH = '/content/drive/My Drive/Colab Notebooks/DataRoot/Corporate control/British data'\n", + "\n", + "alphalist = [_/10.0 for _ in range(10)] + [0.999]\n", + "#alphalist = [0.999]\n", + "\n", + "for alpha in alphalist:\n", + " \n", + " trans_data = get_trans_ownership(alpha)\n", + "\n", + " if DPI:\n", + " dname = 'uk_organisations_transitive_ownership_alpha{}_2021_long_7sep21_dpi_10000iter'.format(alpha)\n", + " else:\n", + " dname = 'uk_organisations_transitive_ownership_alpha{}_2021_long_2aug21'.format(alpha)\n", + "\n", + " if SH_MODE:\n", + " dname = dname + '_SH_only.csv'\n", + " else:\n", + " dname = dname + '.csv'\n", + " \n", + " # if only SH should be left as holders, we should filter out all other holding entities:\n", + " if SH_MODE: \n", + " final_super_holder = ~pd.Series(trans_data.participant_id).isin(trans_data.company_number) \n", + " # the set of SH should coincide with the same set in the original data\n", + " trans_data = trans_data[final_super_holder == True]\n", + "\n", + " trans_data.to_csv(join(CORP_PATH, dname), index=False)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Mounted at /content/drive/\n", + "Started calculations for alpha = 0.0\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 158125\n", + "Adding information from core...\n", + "non-zero elements: 158722\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 197144\n", + "Processing supertargets...\n", + "non-zero elements: 5096560\n", + "Final dataframe has 5096560 rows\n", + "Started calculations for alpha = 0.1\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.2\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.3\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.4\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.5\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.6\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.7\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.8\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.9\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n", + "Started calculations for alpha = 0.999\n", + "Preparing adjacency matrix...\n", + "non-zero elements: 0\n", + "Processing intermediate layers superholders...\n", + "non-zero elements: 165495\n", + "Adding information from core...\n", + "non-zero elements: 166851\n", + "Processing intermediate layers supertargets...\n", + "non-zero elements: 294304\n", + "Processing supertargets...\n", + "non-zero elements: 5694581\n", + "Final dataframe has 5694581 rows\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IvJtOjirn0cJ" + }, + "source": [ + "# Return top-*k* holders\n", + "\n", + "Finally, having prepared all the data on transitive ownership, we define a function that takes a company name and returns its top-*k* super-holders." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "9dR0W06V5id1" + }, + "source": [ + "def get_top_k_holders(target, trans_data, k):\n", + "\n", + " rel_data = trans_data[trans_data.company_number == target]\n", + " top_k_data = rel_data.sort_values(by='share', ascending = False, ignore_index = True)[:k]\n", + "\n", + " # normalization of shares weights to 1\n", + " top_k_data.share = top_k_data.share/top_k_data.sum().share\n", + " \n", + " print(top_k_data)\n" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "XY38QTptoIhu" + }, + "source": [ + "An example with a random company:" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "VP9INrGh6i7g", + "outputId": "f5109ffb-58dc-4281-f22d-7ad88ffeaa62" + }, + "source": [ + "test_name = '06853998'\n", + "get_top_k_holders(test_name, trans_data, 2)\n" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " company_number participant_id share\n", + "0 06853998 MICHAEL$NA$GREVILLE$1962$2 0.500752\n", + "1 06853998 PETER$CHARLES$DE HAAN$1952$3 0.499248\n" + ] + } + ] + } + ] +} \ No newline at end of file diff --git a/code/alphaicon_paper/2_compute_npi_dpi.r b/code/alphaicon_paper/2_compute_npi_dpi.r new file mode 100644 index 0000000..1c145de --- /dev/null +++ b/code/alphaicon_paper/2_compute_npi_dpi.r @@ -0,0 +1,63 @@ +# This code computes Direct Power Index and +# Network Power Index Mizuno, Doi, and Kurizaki (2020, p. 7) +# (https://doi.org/10.1371/journal.pone.0237862) +# for the UK entities in PSC data +library(data.table) + +# NB: there seems to be a bug in multi-threaded data.table group +# processing in Windows: https://github.com/Rdatatable/data.table/issues/4294 +setDTthreads(1) + +set.seed(42) + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Load the function to compute power index +source("code/helper_functions/compute_power_index.r") + +# Load British entities data +uk_entities <- fread("output/uk/uk_organisations_participants_2021_long_2aug21.csv", colClasses = c("character", "character", "factor", "numeric"), encoding = "UTF-8", na.strings = "") +uk_entities[, kind := NULL ] +gc() + +# Remove self-loops and missing equity shares +uk_entities <- uk_entities[ participant_id != company_number & !is.na(equity_share) ] + +# Normalize equity to one +uk_entities[, equity_share := 100*equity_share/sum(equity_share), by = "company_number" ] + +# Run DPI computation on 10000 iterations +tic <- Sys.time() +uk_entities_dpi_10000iter <- compute_power_index(uk_entities, + participant_var = "participant_id", + entity_var = "company_number", + weight_var = "equity_share", + iterations = 10000, + powerindex = "dpi", + quota = 50, + save_labels = FALSE + ) +toc <- Sys.time() +toc - tic # Takes 2.353837 days on Intel Xeon E5-2620 +fwrite(uk_entities_dpi_10000iter, file = paste0("output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv"), eol = "\n") + +# Run NPI computation on 10000 iterations +tic <- Sys.time() +uk_entities_npi_10000iter <- compute_power_index(uk_entities, + participant_var = "participant_id", + entity_var = "company_number", + weight_var = "equity_share", + iterations = 10000, + powerindex = "npi", + quota = 50, + epsilon = 0.01, + iterations_to_discard = 1000, + save_labels = FALSE + ) +toc <- Sys.time() +toc - tic # Takes 3.755192 days on Intel Xeon E5-2620 +fwrite(uk_entities_npi_10000iter, file = paste0("output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv"), eol = "\n") diff --git a/code/alphaicon_paper/3_summary_stat_by_node_type.r b/code/alphaicon_paper/3_summary_stat_by_node_type.r new file mode 100644 index 0000000..be785c0 --- /dev/null +++ b/code/alphaicon_paper/3_summary_stat_by_node_type.r @@ -0,0 +1,213 @@ +# This code creates summary statistics +# table by node type for the α-ICON paper +library(data.table) +library(stringi) +library(stringr) +library(lubridate) +library(igraph) +library(stargazer) + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +############ +# Data loading + +# Load the active participants snapshot of PSC (prepared by data_preparation/uk/2_psc_snapshot_to_participants_panel.r) +psc <- fread("output/uk/uk_organisations_participants_2021_long_2aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") +setnames(psc, "equity_share", "share") +psc[, share := share/100] +psc <- psc[ company_number != participant_id & !is.na(share) ] + +# Load the companies data (prepared by data_preparation/uk/1b_process_companies_data.r) +load("data/uk/uk_basic_companies_data_2021-08-01.rdata") + +# Shorter industry names +uk_basic_companies_data[ industrysection_1 == "Financial and insurance activities", industrysection_1 := "Finance/Insurance"] +uk_basic_companies_data[ industrysection_1 == "Information and communication", industrysection_1 := "IT"] +uk_basic_companies_data[ industrysection_1 == "Other service activities", industrysection_1 := "Other service"] +uk_basic_companies_data[ industrysection_1 == "Professional, scientific and technical activities", industrysection_1 := "Profess./Science activ"] +uk_basic_companies_data[ industrysection_1 == "Mining and Quarrying", industrysection_1 := "Mining/Quarrying"] +uk_basic_companies_data[ industrysection_1 == "Mining and Quarrying", industrysection_1 := "Mining/Quarrying"] +uk_basic_companies_data[ industrysection_1 == "Real estate activities", industrysection_1 := "Real estate"] +uk_basic_companies_data[ industrysection_1 == "Arts, entertainment and recreation", industrysection_1 := "Arts/Entertainment"] +uk_basic_companies_data[ industrysection_1 == "Administrative and support service activities", industrysection_1 := "Admin./Support activ"] +uk_basic_companies_data[ industrysection_1 == "Accommodation and food service activities", industrysection_1 := "Hospitality/Food"] +uk_basic_companies_data[ industrysection_1 == "Human health and social work activities", industrysection_1 := "Health/Social work"] +uk_basic_companies_data[ industrysection_1 == "Wholesale and retail trade; repair of motor vehicles and", industrysection_1 := "Trade"] +uk_basic_companies_data[ industrysection_1 == "Transportation and storage", industrysection_1 := "Transportation/Storage"] +uk_basic_companies_data[ industrysection_1 == "Agriculture, Forestry and Fishing", industrysection_1 := "Agriculture"] +uk_basic_companies_data[ industrysection_1 == "Activities of households as employers; undifferentiated", industrysection_1 := "Households as employers"] +uk_basic_companies_data[ industrysection_1 == "Water supply, sewerage, waste management and", industrysection_1 := "Water/Sewerage/Waste"] +uk_basic_companies_data[ industrysection_1 == "Public administration and defence; compulsory social", industrysection_1 := "Public admin/Defence"] +uk_basic_companies_data[ industrysection_1 == "Electricity, gas, steam and air conditioning supply", industrysection_1 := "Electricity/Gas/Steam"] +uk_basic_companies_data[ industrysection_1 == "Activities of extraterritorial organisations and", industrysection_1 := "Extraterritorial orgs"] + +# Company age +uk_basic_companies_data[, age := as.numeric(ymd("2021-08-01") - IncorporationDate)/31/12 ] + +# Load the transitive ownership of each participant at alpha = 0.999 +# (prepared by alphaicon_paper/1_compute_alphaicon.ipynb) +holders <- fread("output/uk/transitive/uk_organisations_transitive_ownership_alpha0.999_2021_long_2aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8", colClasses = c("character", "character", "numeric")) + +# Load the data on graph membership +# (prepared by alphaicon_paper/1_compute_alphaicon.ipynb) +graph_membership <- fread("output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8", header = T, colClasses = c("numeric", "character", "factor")) +graph_membership[, V1 := NULL ] +setnames(graph_membership, "company_number/id", "participant_id") +gc() + +# Load the data for evaluation of the algorithms (prepared by data_preparation/uk/3_prepare_affiliated_entities_evaluation_data.r) +affiliated_entities <- fread("data/uk/uk_parent_subsidiary_mapping_2020_2021_sec_filers_exhibit21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") +# Remove the CorpWatch entity identifiers +affiliated_entities[, c("subsidiary_cw_id", "parent_cw_id") := NULL ] + +# Add the data on the shortest paths from parent to subsidiary +psc_graph <- graph_from_data_frame(psc[participant_id != company_number & !is.na(share), c("participant_id", "company_number", "share"), with = F], directed = T) + +# Compute all the distances on the graph +# from parent companies in the gold standard +# data to the subsidiates +affiliated_distance_mat <- distances(psc_graph, v = which(V(psc_graph)$name %in% unique(affiliated_entities$participant_id)), to = which(V(psc_graph)$name %in% affiliated_entities$company_number), mode = "out") + +# Arrange them so that the distance is on the main diagonal +affiliated_distance <- as.data.table(as.table(affiliated_distance_mat)) +names(affiliated_distance) <- c("participant_id", "company_number", "path_length") +# Remove non-reachable entries +affiliated_distance <- affiliated_distance[ is.finite(path_length) ] + +# Add the path lengths to the affiliated entities data +affiliated_entities <- merge(affiliated_entities, affiliated_distance, by = c("company_number", "participant_id"), all.x = T, all.y = F, sort = F) +#nrow(affiliated_entities[!is.na(path_length)] # 1007 + +# Keep only matched orgs +affiliated_entities <- affiliated_entities[!is.na(path_length)] + +############ +# Graph membership data preparation + +# Add the selected characteristics to the graph membership data +## Is entity or individual dummy +graph_membership[, kind := psc[ match(graph_membership$participant_id, psc$participant_id)]$kind ] +graph_membership[is.na(kind) & participant_id %in% psc$company_number, kind := "entity" ] +graph_membership <- graph_membership[ !is.na(kind) ] + +graph_membership[, is_person := NA_real_ ] +graph_membership[ !is.na(kind), is_person := 0] +graph_membership[ kind == "individual", is_person := 1] + +## Industry +graph_membership[, industrysection := uk_basic_companies_data[ match(graph_membership$participant_id, uk_basic_companies_data$CompanyNumber)]$industrysection_1 ] +## Add individuals to the said list +graph_membership[ is_person == 1, industrysection := "Individual"] + +## Company age +graph_membership[, age := uk_basic_companies_data[ match(graph_membership$participant_id, uk_basic_companies_data$CompanyNumber)]$age ] + +## Is public company +graph_membership[, companytype := uk_basic_companies_data[ match(graph_membership$participant_id, uk_basic_companies_data$CompanyNumber)]$CompanyCategory ] +graph_membership[, is_public := NA_real_ ] +graph_membership[!is.na(companytype) | is_person == 1, is_public := 0 ] +graph_membership[ companytype %in% c("Public Limited Company"), is_public := 1] + +uk_basic_companies_data[, is_public := NA_real_ ] +uk_basic_companies_data[!is.na(CompanyCategory), is_public := 0 ] +uk_basic_companies_data[ CompanyCategory %in% c("Public Limited Company"), is_public := 1] + +## Is in validation data +graph_membership[, in_validation := 0 ] +graph_membership[ participant_id %in% affiliated_entities$company_number | participant_id %in% affiliated_entities$participant_id, in_validation := 1 ] + +uk_basic_companies_data[, in_validation := 0 ] +uk_basic_companies_data[ CompanyNumber %in% c(affiliated_entities$company_number, affiliated_entities$participant_id), in_validation := 1 ] + +## In- and outdegree +psc_graph_degree <- data.table(participant_id = V(psc_graph)$name, indegree = degree(psc_graph, mode = "in"), outdegree = degree(psc_graph, mode = "out")) +graph_membership <- merge(graph_membership, psc_graph_degree, by = "participant_id", all.x = T, all.y = F, sort = T) + +uk_basic_companies_data <- merge(uk_basic_companies_data, psc_graph_degree, by.x = "CompanyNumber", by.y = "participant_id", all.x = T, all.y = F, sort = F) + +############ +# Compute summary stat by graph membership + +## Industry shares by type in PSC graph +industry_by_graphtype <- graph_membership[, list(N = .N), by = c("type", "industrysection") ] +industry_by_graphtype[ is.na(N), N := 0 ] +industry_by_graphtype[, percent := round(100*N/sum(N), 2), by = "type"] +# Add the total +industry_by_graphtype <- rbind(industry_by_graphtype, data.table(industrysection = "Total", industry_by_graphtype[, list( N = sum(N)), by = "type"], percent = 100)) + +## Industry shares in the company universe +industry_universe <- uk_basic_companies_data[, list(N_universe = .N), by = c("industrysection_1") ] +setnames(industry_universe, "industrysection_1", "industrysection") +industry_universe[ is.na(N_universe), N_universe := 0 ] +industry_universe[, percent_universe := round(100*N_universe/sum(N_universe), 2)] +# Add the total +industry_universe <- rbind(industry_universe, data.table( industrysection = "Total", N_universe = sum(industry_universe$N), percent_universe = 100), fill = T) + +## Industry shares in the validation data +industry_validation <- graph_membership[ in_validation == 1, list(N_validation = .N), by = c("industrysection") ] +industry_validation[ is.na(N_validation), N_validation := 0 ] +industry_validation[, percent_validation := round(100*N_validation/sum(N_validation), 2)] +# Add the total +industry_validation <- rbind(industry_validation, data.table( industrysection = "Total", N_validation = sum(industry_validation$N), percent_validation = 100), fill = T) + +# Compute means of in/outdegree by type, for the entire universe, and for validation data +means_by_graphtype <- graph_membership[, lapply(.SD, mean, na.rm = T), .SDcols = c("indegree", "outdegree", "age", "is_public"), by = "type" ] +means_by_graphtype[, industrysection := "tempname" ] +means_by_graphtype[, c("indegree", "outdegree", "age") := lapply(.SD, round, 2), .SDcols = c("indegree", "outdegree", "age") ] +means_by_graphtype[, is_public := round(100*is_public, 2)] +temp <- rbind(dcast(means_by_graphtype, industrysection ~ type, value.var = "indegree"), dcast(means_by_graphtype, industrysection ~ type, value.var = "outdegree")) +temp <- rbind(temp, dcast(means_by_graphtype, industrysection ~ type, value.var = "age")) +temp <- rbind(temp, dcast(means_by_graphtype, industrysection ~ type, value.var = "is_public")) +temp$industrysection <- c("Average indegree", "Average outdegree", "Entity age", "Public limited company") +names(temp)[2:ncol(temp)] <- paste0("percent_", names(temp)[2:ncol(temp)]) +means_by_graphtype <- temp + +means_universe <- uk_basic_companies_data[, lapply(.SD, mean, na.rm = T), .SDcols = c("indegree", "outdegree", "age", "is_public")] +means_universe[, industrysection := "tempname" ] +means_universe[, c("indegree", "outdegree", "age") := lapply(.SD, round, 2), .SDcols = c("indegree", "outdegree", "age") ] +means_universe[, is_public := round(100*is_public, 2)] +temp <- rbind(dcast(means_universe, industrysection ~ ., value.var = "indegree"), dcast(means_universe, industrysection ~ ., value.var = "outdegree")) +temp <- rbind(temp, dcast(means_universe, industrysection ~ ., value.var = "age")) +temp <- rbind(temp, dcast(means_universe, industrysection ~ ., value.var = "is_public")) +temp$industrysection <- c("Average indegree", "Average outdegree", "Entity age", "Public limited company") +setnames(temp, ".", "percent_universe") +means_universe <- temp + +means_validation <- graph_membership[ in_validation == 1, lapply(.SD, mean, na.rm = T), .SDcols = c("indegree", "outdegree", "age", "is_public")] +means_validation[, industrysection := "tempname" ] +means_validation[, c("indegree", "outdegree", "age") := lapply(.SD, round, 2), .SDcols = c("indegree", "outdegree", "age") ] +means_validation[, is_public := round(100*is_public, 2)] +temp <- rbind(dcast(means_validation, industrysection ~ ., value.var = "indegree"), dcast(means_validation, industrysection ~ ., value.var = "outdegree")) +temp <- rbind(temp, dcast(means_validation, industrysection ~ ., value.var = "age")) +temp <- rbind(temp, dcast(means_validation, industrysection ~ ., value.var = "is_public")) +temp$industrysection <- c("Average indegree", "Average outdegree", "Entity age", "Public limited company") +setnames(temp, ".", "percent_validation") +means_validation <- temp + +# Long per industry data to wide summary table +summary_table <- dcast(industry_by_graphtype, industrysection ~ type, value.var = c("N", "percent"), fill = 0) +# Add the data on universe +summary_table <- merge(summary_table, industry_universe, by = "industrysection", all = T) +summary_table[ is.na(N_universe) & industrysection != "Individual", N_universe := 0] +summary_table[ is.na(percent_universe) & industrysection != "Individual", percent_universe := 0] + +# Add the data on validation set +summary_table <- merge(summary_table, industry_validation, by = "industrysection", all = T) +summary_table[ is.na(N_validation) & industrysection != "Individual", N_validation := 0] +summary_table[ is.na(percent_validation) & industrysection != "Individual", percent_validation := 0] + +# Proper order, so that total goes first +setorderv(summary_table, "percent_universe", -1) + +# Add the data on degree and other variables to the bottom of the table +summary_table <- rbind(summary_table, means_by_graphtype, fill = T) +summary_table <- rbind(summary_table, means_universe, fill = T) +summary_table <- rbind(summary_table, means_validation, fill = T) + +# Export to .tex table for future editing +#stargazer(summary_table, type = "latex", summary = F, out = "output/alphaicon_paper/summary_stat_by_type.tex", float = F, multicolumn = T, digits = 2) diff --git a/code/alphaicon_paper/4_illustrate_algorithm.r b/code/alphaicon_paper/4_illustrate_algorithm.r new file mode 100644 index 0000000..bedf8cb --- /dev/null +++ b/code/alphaicon_paper/4_illustrate_algorithm.r @@ -0,0 +1,257 @@ +# This code plots the selected sub-networks +# in the PSC data and produces the figures +# for the α-ICON paper +library(data.table) +library(igraph) +library(stringi) +library(stringr) +library(ggplot2) +library(ggnetwork) +library(ggthemes) +library(showtext) + +# Add the font to use +font_add_google("Open Sans", "Open Sans") +showtext_auto() + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Load the active participants snapshot of PSC (prepared by data_preparation/uk/2_psc_snapshot_to_participants_panel.r) +psc <- fread("output/uk/uk_organisations_participants_2021_long_2aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") + +# Load the companies data (prepared by data_preparation/uk/1b_process_companies_data.r) +load("data/uk/uk_basic_companies_data_2021-08-01.rdata") + +# Load the transitive ownership of each participant at alpha = 0.999 +# (prepared by alphaicon_paper/1_compute_alphaicon.ipynb) +holders <- fread("output/uk/transitive/uk_organisations_transitive_ownership_alpha0.999_2021_long_2aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8", colClasses = c("character", "character", "numeric")) + +# Load the data on graph membership +# (prepared by alphaicon_paper/1_compute_alphaicon.ipynb) +graph_membership <- fread("output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8", header = T, colClasses = c("numeric", "character", "factor")) +graph_membership[, V1 := NULL ] +setnames(graph_membership, "company_number/id", "participant_id") +gc() + +# We need to pick up an illustrative organization + +# Ideally this organization should have a small network size +# and have at least one entity in graph core + +# Orgs in the core with all other types in the subgraph +# and manageable network size +temp <- holders[ participant_id %in% graph_membership[ type == "C"]$participant_id ] +temp[, company_type := graph_membership[ match(temp$company_number, graph_membership$participant_id) ]$type ] +temp[, participant_type := graph_membership[ match(temp$participant_id, graph_membership$participant_id) ]$type ] + +# Devise a set of candidate orgs for illustration +# where all organization types are present in the company network +candidate_orgs <- temp[, list( company_types = uniqueN(company_type), network_size = uniqueN(company_number)), by = "participant_id"] + +# Consider moderately sized networks with all types of orgs there +candidate_ids <- unique(candidate_orgs[ company_types > 2 & network_size <= 30 & network_size > 10]$participant_id) + +# Additionally, consider the largest structure in terms +# of graph path from participant to company +# This is the result of igraph::farthest_vertices +# applied to the psc graph +farthest_components <- c("11443992") + +# Also consider participant SEAN DINNEN +# he has DPI and NPI of 0 but very large transitivity score +sean_dinnen <- "SEAN$MICHAEL$DINNEN$1968$3" + +# Example of long path +heidelbergcement <- "HEIDELBERGCEMENT AG$GERMANY$HRB 33082" + +# Finally, consider the organizations with large difference between +# the super-holder scores (computed in alphaicon_paper/6_rank_top_holders.r) +top100_holders_diff_npi_dpi <- fread("output/alphaicon_paper/uk_organisations_top100_holders_diff_npi_dpi_2021_long_2aug21.csv", encoding = "UTF-8") +top100_holders_diff_transitive_dpi <- fread("output/alphaicon_paper/uk_organisations_top100_holders_diff_transitive_dpi_2021_long_2aug21.csv", encoding = "UTF-8") +top100_holders_diff_transitive_npi <- fread("output/alphaicon_paper/uk_organisations_top100_holders_diff_transitive_npi_2021_long_2aug21.csv", encoding = "UTF-8") + +# Define the candidates to consider (from affiliated_entities +# and other inspection) +organizations_of_interest <- unique(c("IHS MARKIT LTD$BERMUDA$48610", "06647317", "11594795", candidate_ids, farthest_components, sean_dinnen)) + +# Or specify one organization for the graph in the paper: +#organizations_of_interest <- "03782947" # OPUS + +organizations_of_interest <- c(top100_holders_diff_transitive_dpi[1]$participant_id, # SPECSAVERS OPTICAL SUPERSTORES LTD + top100_holders_diff_npi_dpi[82]$participant_id, # LENDLEASE INTERNATIONAL PTY LIMITED + top100_holders_diff_transitive_dpi[99]$participant_id, # THE BERKELEY GROUP PLC + top100_holders_diff_transitive_npi[17]$participant_id) # BAJLINDER$KAUR$BOPARAN$1968$1. NB: her husband RANJIT$SINGH$BOPARAN$1966$8 has alpha-ICON sum 73 + +# Iterate over multiple graph candidates +for( org_interest in organizations_of_interest ) { + + # Ultimate companies held by this organization + holders_subset_ultimate <- holders[ participant_id %in% org_interest ] + + # Consider their total interest in all entities + holders_subset <- psc[ participant_id %in% unique(holders_subset_ultimate$company_number) | company_number %in% unique(holders_subset_ultimate$company_number) ] + holders_subset <- holders_subset[ !is.na(equity_share)] + setnames(holders_subset, "equity_share", "share") + + # Network size + #uniqueN(holders_subset$company_number) + #uniqueN(holders_subset$participant_id) + + # Add company and participant names and countries of origin + holders_subset[, company_name := uk_basic_companies_data[ match(holders_subset$company_number, uk_basic_companies_data$CompanyNumber)]$CompanyName ] + #holders_subset[, company_country := uk_basic_companies_data[ match(holders_subset$company_number, uk_basic_companies_data$CompanyNumber)]$CountryOfOrigin ] + + holders_subset[, participant_name := uk_basic_companies_data[ match(holders_subset$participant_id, uk_basic_companies_data$CompanyNumber)]$CompanyName ] + #holders_subset[, participant_country := uk_basic_companies_data[ match(holders_subset$participant_id, uk_basic_companies_data$CompanyNumber)]$CountryOfOrigin ] + + # Proper name handling for individuals: first name-surname + holders_subset[grepl("$", participant_id, fixed = T) & kind != "individual", participant_name := as.data.table(stri_split_fixed(participant_id, "$", n = 3, simplify = T)[,1])] + holders_subset[kind == "individual", participant_name := paste0(stri_split_fixed(participant_id, "$", n = 4, simplify = T)[, 1], " ", stri_split_fixed(participant_id, "$", n = 4, simplify = T)[, 3])] + + #holders_subset[, company_country := gsub("United Kingdom", "UK", company_country) ] + #holders_subset[, participant_country := gsub("United Kingdom", "UK", participant_country) ] + + # Are the names unique? + #uniqueN(holders_subset$company_name) + #uniqueN(holders_subset$participant_name) + + # Add the graph types of organizations + holders_subset[, company_type := graph_membership[ match(holders_subset$company_number, graph_membership$participant_id) ]$type ] + holders_subset[, participant_type := graph_membership[ match(holders_subset$participant_id, graph_membership$participant_id) ]$type ] + holders_subset[, share_range := NA_character_ ] + holders_subset[ share == 87.5, share_range := "75-100%"] + holders_subset[ share == 62.5, share_range := "50-75%"] + holders_subset[ share == 37.5, share_range := "25-50%"] + + ## Total number of holdings + holdings_count <- holders_subset[, list(count_holdings_total = .N), by = "participant_name"] + + ## Total number of holders + holders_count <- holders_subset[, list(count_holders_total = .N), by = "company_name"] + + # To igraph object + ## Create an object with vertex metadata + vertex_metadata <- unique(rbind(unique(data.table( name = holders_subset$company_name, type = holders_subset$company_type)), + data.table( name = holders_subset$participant_name, type = holders_subset$participant_type) + ), by = "name") + vertex_metadata <- merge(vertex_metadata, holdings_count, by.x = "name", by.y = "participant_name", all.x = T, all.y = F, sort = F) + vertex_metadata <- merge(vertex_metadata, holders_count, by.x = "name", by.y = "company_name", all.x = T, all.y = F, sort = F) + vertex_metadata[is.na(count_holdings_total), count_holdings_total := 0] + vertex_metadata[is.na(count_holders_total), count_holders_total := 0] + # NA to mock 0 + vertex_metadata[count_holdings_total == 0, count_holdings_total := 1] + # Remove intermediaries with no holders + vertex_metadata <- vertex_metadata[ !(count_holders_total == 0 & type == "I") ] + + ## Convert to igraph + holders_example_graph <- graph_from_data_frame(holders_subset[participant_name %in% vertex_metadata$name & company_name %in% vertex_metadata$name, c("participant_name", "company_name", "share", "share_range")], directed = T, vertices = vertex_metadata) + + # Line-wrap the name + V(holders_example_graph)$name_label <- str_wrap(V(holders_example_graph)$name, 15) + + # Graph to ggnetwork + holders_example_net <- ggnetwork(holders_example_graph, layout = with_kk(), arrow.gap = 0.01) + + # Empty name for certain types if network is large + if(nrow(holders_example_net) > 150) { + + holders_example_net[!(holders_example_net$type %in% c("SH", "C") | holders_example_net$name %in% c("SPECSAVERS UK HOLDINGS LIMITED", "HANSON PACKED PRODUCTS LIMITED", "HOUSERATE LIMITED", "HANSON LIMITED", "HEIDELBERGCEMENT UK HOLDING LIMITED") ), "name_label"] <- "" + + } + + # Plot the graph + holders_example_plot <- ggplot(holders_example_net, aes(x = x, y = y, xend = xend, yend = yend)) + + geom_edges(color = "#ebecf0", arrow = arrow(angle = 45, length = unit(5, "pt"), type = "closed"), show.legend = F) + + geom_nodes(aes(color = type, size = log(count_holdings_total)), show.legend = T) + + { if( org_interest %in% c("03782947", "PHILIP$AULD$MACTAGGART$1956$2", "BAJLINDER$KAUR$BOPARAN$1968$1")) geom_edgetext(aes(label = share_range), color = "grey25", size = 1.5) } + + geom_nodetext_repel(aes(label = name_label, color = type), fontface = "bold", size = 2, show.legend = F, point.padding = 5, max.overlaps = 300) + + #{ if(nrow(holders_example_net) > 150) geom_nodetext_repel(aes(color = type), label = "", fontface = "bold", size = 2, show.legend = F, point.padding = 5) } + + #{ if(nrow(holders_example_net) <= 150) geom_nodetext_repel(aes(label = name, color = type), fontface = "bold", size = 2, show.legend = F, point.padding = 5) } + + scale_size(guide = "none") + + scale_color_manual(name = "node type", labels = c("super-holder", "super-target", "intermediary", "core"), values = c("SH" = "#66c2a5", "ST" = "#8da0cb", "I" = "grey", "C" = "#fc8d62")) + + guides(color = guide_legend(override.aes = list(size = 5))) + + theme_blank() + theme(text = element_text(family = "Open Sans"), legend.position = "bottom", plot.margin = unit(c(0, 0, 0, 0), "cm")) + + # Export to an image + graph_file_name <- gsub("[[:punct:]]", "", stri_split_fixed(org_interest, "$", simplify = T)[1,1]) + + if( org_interest %in% c("SEAN$MICHAEL$DINNEN$1968$3", "SPECSAVERS OPTICAL SUPERSTORES LTD$UNITED KINGDOM$1721624") ) { + + ggsave(paste0("output/alphaicon_paper/network_examples/uk_example ", graph_file_name, ".pdf"), height = 20, width = 20, scale = 1.2, device = cairo_pdf) + + } else { + + ggsave(paste0("output/alphaicon_paper/network_examples/uk_example ", graph_file_name, ".pdf"), height = 10, width = 10, device = cairo_pdf) + + } + + message(graph_file_name) + +} + +######## +# Plot the graph with the core components only +core <- psc[ participant_id %in% unique(graph_membership[type == "C"]$participant_id) & company_number %in% unique(graph_membership[type == "C"]$participant_id) ] +core <- core[ !is.na(equity_share)] +setnames(core, "equity_share", "share") + +# Add company and participant names and countries of origin +core[, company_name := uk_basic_companies_data[ match(core$company_number, uk_basic_companies_data$CompanyNumber)]$CompanyName ] +core[, participant_name := uk_basic_companies_data[ match(core$participant_id, uk_basic_companies_data$CompanyNumber)]$CompanyName ] + +# Proper name handling for individuals: first name-surname +core[grepl("$", participant_id, fixed = T) & kind != "individual", participant_name := as.data.table(stri_split_fixed(participant_id, "$", n = 3, simplify = T)[,1])] +core[kind == "individual", participant_name := paste0(stri_split_fixed(participant_id, "$", n = 4, simplify = T)[, 1], " ", stri_split_fixed(participant_id, "$", n = 4, simplify = T)[, 3])] + +# Add the graph types of organizations +core[, company_type := graph_membership[ match(core$company_number, graph_membership$participant_id) ]$type ] +core[, participant_type := graph_membership[ match(core$participant_id, graph_membership$participant_id) ]$type ] +core[, share_range := NA_character_ ] +core[ share == 87.5, share_range := "75-100%"] +core[ share == 62.5, share_range := "50-75%"] +core[ share == 37.5, share_range := "25-50%"] + +# Add the total number of companies where core participants +## Total number of holdings +core_holdings <- holders[participant_id %in% graph_membership[type == "C"]$participant_id, list(count_holdings_total = .N), by = "participant_id"] +## Holdings in core +core_holdings <- merge(core_holdings, holders[participant_id %in% graph_membership[type == "C"]$participant_id & company_number %in% graph_membership[type == "C"]$participant_id, list(count_holdings_core = .N), by = "participant_id"], by = "participant_id", all = T) + +# To igraph object +## Create an object with vertex metadata +vertex_metadata <- unique(rbind(unique(data.table(name = core$company_name, type = core$company_type, id = core$company_number)), + data.table( name = core$participant_name, type = core$participant_type, id = core$participant_id) + ), by = "name") + +# Add the counts of holdings +vertex_metadata <- merge(vertex_metadata, core_holdings, by.x = "id", by.y = "participant_id", all = T) +vertex_metadata[, id := NULL] + +# Keep only non-trivial components +vertex_metadata <- vertex_metadata[ count_holdings_core > 2 ] + +## Convert to igraph +core_graph <- graph_from_data_frame(core[ participant_name %in% vertex_metadata$name | company_name %in% vertex_metadata$name, c("participant_name", "company_name", "share", "share_range")], directed = T, vertices = vertex_metadata) + +# Line-wrap the name +V(core_graph)$name_label <- str_wrap(V(core_graph)$name, 15) + +# Graph to ggnetwork +core_net <- ggnetwork(core_graph, layout = with_fr(), arrow.gap = 0.01) + +# Plot the graph +core_plot <- ggplot(core_net, aes(x = x, y = y, xend = xend, yend = yend)) + + geom_edges(color = "grey", arrow = arrow(angle = 45, length = unit(3, "pt"), type = "closed"), show.legend = F) + + geom_nodes(aes(color = type, size = count_holdings_total), show.legend = T) + + geom_edgetext(aes(label = share_range), color = "grey25", size = 1) + + geom_nodetext_repel(aes(label = name_label, color = type), fontface = "bold", size = 2, show.legend = F, point.padding = 5) + + scale_size(guide = "none") + + scale_color_manual(name = "node type", labels = c("super-holder", "super-target", "intermediary", "core"), values = c("SH" = "#66c2a5", "ST" = "#8da0cb", "I" = "grey", "C" = "#fc8d62")) + + guides(color = guide_legend(override.aes = list(size = 5))) + + theme_blank() + theme(text = element_text(family = "Open Sans"), legend.position = "none", plot.margin = unit(c(0, 0, 0, 0), "cm")) + +ggsave(paste0("output/network_examples/core_plot.pdf"), height = 10, width = 10, scale = 1.1, device = cairo_pdf) diff --git a/code/alphaicon_paper/5_algorithm_evaluation.r b/code/alphaicon_paper/5_algorithm_evaluation.r new file mode 100644 index 0000000..fa7a299 --- /dev/null +++ b/code/alphaicon_paper/5_algorithm_evaluation.r @@ -0,0 +1,412 @@ +# This code evaluates various algorithms +# for ultimate owner identification + +library(data.table) +library(stringi) +library(stringr) +library(igraph) + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +############ +# Load and prepare the data + +# Load the active participants snapshot of PSC (prepared by data_preparation/uk/2_psc_snapshot_to_participants_panel.r) +psc <- fread("output/uk/uk_organisations_participants_2021_long_2aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") + +# Load the DPI of each participant after 10000 iterations (computed by alphaicon_paper/2_compute_npi_dpi.r) +holders_dpi <- fread("output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") +setnames(holders_dpi, c("entity", "participant", "dpi"), c("company_number", "participant_id", "share")) +holders_dpi[, times_pivotal := NULL ] + +# Load the NPI of each participant after 10000 iterations (computed by alphaicon_paper/2_compute_npi_dpi.r) +holders_npi <- fread("output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") +setnames(holders_npi, c("entity", "participant", "npi"), c("company_number", "participant_id", "share")) +holders_npi[, times_pivotal := NULL ] + +# Load the transitive ownership data at various alpha +# (prepared by alphaicon_paper/1_compute_alphaicon.ipynb) +alphas <- c("0.0", "0.1", "0.2", "0.3", "0.4", "0.5", "0.6", "0.7", "0.8", "0.9", "0.999") + +for( a in alphas) { + + # Transitive ownership on equity shares + temp1 <- fread(paste0("output/uk/transitive/uk_organisations_transitive_ownership_alpha", a, "_2021_long_2aug21.csv"), integer64 = "character", na.strings = "", encoding = "UTF-8", colClasses = c("character", "character", "numeric")) + + assign(paste0("holders_transitive_alpha", a), temp1) + + # Transitive ownership on DPI weights + temp2 <- fread(paste0("output/uk/transitive/uk_organisations_transitive_ownership_alpha", a, "_2021_long_7sep21_dpi_10000iter.csv"), integer64 = "character", na.strings = "", encoding = "UTF-8", colClasses = c("character", "character", "numeric")) + + assign(paste0("holders_transitivedpi_alpha", a), temp2) + + rm(temp1); rm(temp2) + +} + +# Load the data on graph membership +# (prepared by alphaicon_paper/1_compute_alphaicon.ipynb) +graph_membership <- fread("output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8", header = T, colClasses = c("numeric", "character", "factor")) +graph_membership[, V1 := NULL ] +setnames(graph_membership, "company_number/id", "participant_id") + +# Load the data for evaluation of the algorithms (prepared by data_preparation/uk/3_prepare_affiliated_entities_evaluation_data.r) +affiliated_entities <- fread("data/uk/uk_parent_subsidiary_mapping_2020_2021_sec_filers_exhibit21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") +# Remove the CorpWatch entity identifiers +affiliated_entities[, c("subsidiary_cw_id", "parent_cw_id") := NULL ] + +# Add the data on the shortest paths from parent to subsidiary +psc_graph <- graph_from_data_frame(psc[participant_id != company_number & !is.na(equity_share), c("participant_id", "company_number", "equity_share"), with = F], directed = T) + +# Compute all the distances on the graph +# from parent companies in the gold standard +# data to the subsidiates +affiliated_distance_mat <- distances(psc_graph, v = which(V(psc_graph)$name %in% unique(affiliated_entities$participant_id)), to = which(V(psc_graph)$name %in% affiliated_entities$company_number), mode = "out") + +# Arrange them so that the distance is on the main diagonal +affiliated_distance <- as.data.table(as.table(affiliated_distance_mat)) +names(affiliated_distance) <- c("participant_id", "company_number", "path_length") +# Remove non-reachable entries +affiliated_distance <- affiliated_distance[ is.finite(path_length) ] + +# Add the path lengths to the affiliated entities data +affiliated_entities <- merge(affiliated_entities, affiliated_distance, by = c("company_number", "participant_id"), all.x = T, all.y = F, sort = F) +#affiliated_entities[, .N, by = "path_length"] +#nrow(affiliated_entities[!is.na(path_length)] # 1007 + +# Keep only affiliated entities reachable on the PSC graph +affiliated_entities <- affiliated_entities[ !is.na(path_length) ] + +# List all holder objects that are loaded in the memory +holder_objects <- paste0("holders_", c("dpi", "npi", paste0("transitive_alpha", alphas), paste0("transitivedpi_alpha", alphas))) + +############ +# Subset holder objects + +# Keep only the affiliated entities in the holder objects (to speed up the computation time) +for(obj in holder_objects) { + + assign(obj, get(obj)[ company_number %in% affiliated_entities$company_number | company_number %in% affiliated_entities$participant_id | participant_id %in% affiliated_entities$company_number | participant_id %in% affiliated_entities$participant_id]) + + # Add the entity type for objects + assign(obj, merge(get(obj), graph_membership, by = "participant_id", all.x = T, all.y = F, sort = F)) + +} + +# Add the ranks +for(obj in holder_objects) { + + # Sort by descending share within companies + setorderv(get(obj), c("company_number", "share"), c(1, -1)) + + # Add the rank + get(obj)[, rank := 1:.N, by = "company_number"] + + # Devise another rank + # that ranks participants within types + get(obj)[, rankbygraphtype := 1:.N, by = c("company_number", "type")] + +} + +# Debug: holders_transitive_alpha0.5[company_number == "SL033942"] + +# Create a single object with ranks under different algorithms +algorithms <- c("dpi", "npi", paste0("transitive_alpha", alphas), paste0("transitivedpi_alpha", alphas)) + +# Start with the actual participants data (for the baseline algorithm) +holders_algorithm_ranks <- psc[ company_number %in% affiliated_entities$company_number, c("company_number", "participant_id", "equity_share"), with = F] +holders_algorithm_ranks <- holders_algorithm_ranks[ !is.na(equity_share) ] + +# For the baseline algorithm simply take the equity share +setorderv(holders_algorithm_ranks, c("company_number", "equity_share"), c(1, -1)) +holders_algorithm_ranks[, rank_baseline := 1:.N, by = "company_number" ] +holders_algorithm_ranks[, equity_share := NULL ] + +# For the remaining ranks query the holders object +for(alg in algorithms) { + + cols_to_keep <- intersect(names(get(paste0("holders_", alg))), c("company_number", "participant_id", "rank", "rankbygraphtype")) + + holders_algorithm_ranks <- merge(holders_algorithm_ranks, get(paste0("holders_", alg))[, c(cols_to_keep), with = F], by = c("company_number", "participant_id"), all.x = T, all.y = T, sort = F) + setnames(holders_algorithm_ranks, "rank", paste0("rank_", alg)) + setnames(holders_algorithm_ranks, "rankbygraphtype", paste0("rankbygraphtype_", alg), skip_absent = T) + + message(alg) + +} + +# Add the participant type in graph +holders_algorithm_ranks[, type := graph_membership[ match(holders_algorithm_ranks$participant_id, graph_membership$participant_id)]$type ] + +# What rank do the actual super-holders from the affiliated entities evaluation data +# take under each algorithm +holders_algorithm_ranks_affiliated <- holders_algorithm_ranks[ company_number %in% affiliated_entities$company_number] + +# Add the ground truth participant id +holders_algorithm_ranks_affiliated <- merge(holders_algorithm_ranks_affiliated, affiliated_entities[, -"path_length"], by = c("company_number"), all = T, sort = F) + +# NB: We have duplicates: +# holders_algorithm_ranks_affiliated[ company_number == "00906355"] + +# Debug: +#holders_algorithm_ranks[ company_number == "00027883"] +#holders_algorithm_ranks_affiliated[ company_number == "00027883"] + +# Add the path lengths to the data +holders_algorithm_ranks_affiliated <- merge(holders_algorithm_ranks_affiliated, affiliated_entities, by.x = c("company_number", "participant_id.y"), by.y = c("company_number", "participant_id"), sort = F, all.x = T, all.y = F) + +# What rank does the truth take under each algorithm +algorithms <- unique(c("baseline", algorithms)) + +for(alg in algorithms) { + + holders_algorithm_ranks_affiliated[, paste0("rank_true_", alg) := NA_real_ ] + + holders_algorithm_ranks_affiliated[participant_id.x == participant_id.y, paste0("rank_true_", alg) := get(paste0("rank_", alg)) ] + + # Add the rank when we consider only super-holders + if( !grepl("baseline", alg) ) { + + holders_algorithm_ranks_affiliated[ participant_id.x == participant_id.y & type == "SH", paste0("rankonlysuperholder_true_", alg) := get(paste0("rankbygraphtype_", alg))] + + # Restore the original value if no rank for super-holder + holders_algorithm_ranks_affiliated[ is.na(get(paste0("rankonlysuperholder_true_", alg))) , paste0("rankonlysuperholder_true_", alg) := get(paste0("rank_true_", alg)) ] + + + } + +} + +# Aggregate at company level +cols_of_interest <- names(holders_algorithm_ranks_affiliated)[ grepl("rank.*_true_", names(holders_algorithm_ranks_affiliated))] +cols_of_interest <- c(cols_of_interest, "path_length") + +affiliated_evaluation_results <- holders_algorithm_ranks_affiliated[, lapply(.SD, min, na.rm = T), .SDcols = cols_of_interest, by = "company_number"] +affiliated_evaluation_results[, c(cols_of_interest) := lapply(.SD, function(x) ifelse(is.finite(x), x, NA)), .SDcols = cols_of_interest] + +# With the above min-aggregation we resolve the issue with duplicates +# affiliated_evaluation_results[ company_number == "00906355"] + +# Compute recall @ different k for algorithms +## Init an object to store the recall +algorithm_recall <- data.table() + +## Init an object to store the recall at different path lengths +algorithm_recall_by_pathlength <- data.table() + +path_lengths <- unique(holders_algorithm_ranks_affiliated$path_length) +path_lengths <- path_lengths[ order(path_lengths) ] +path_lengths <- path_lengths[ !is.na(path_lengths) ] + +for(k in 1:10) { + + for( alg in algorithms ) { + + # How many organisations have the true participant out of all k participants + recall <- nrow(affiliated_evaluation_results[ get(paste0("rank_true_", alg)) <= k ])/nrow(affiliated_evaluation_results) + + algorithm_recall <- rbind(algorithm_recall, data.table(algorithm = alg, k = k, superholderpriority = 0, recall = recall), fill = T) + + # Special recall considering only super-holders + if( !grepl("baseline", alg) ) { + + recallsh <- nrow(affiliated_evaluation_results[ get(paste0("rankonlysuperholder_true_", alg)) <= k ])/nrow(affiliated_evaluation_results) + + algorithm_recall <- rbind(algorithm_recall, data.table(algorithm = alg, k = k, superholderpriority = 1, recall = recallsh), fill = T) + + } + + # Same for each path lengths + for( p in path_lengths ) { + + recallpath <- nrow(affiliated_evaluation_results[ get(paste0("rank_true_", alg)) <= k & path_length == p ])/nrow(affiliated_evaluation_results[ path_length == p | is.na(path_length) ]) + + + algorithm_recall_by_pathlength <- rbind(algorithm_recall_by_pathlength, data.table(algorithm = alg, k = k, superholderpriority = 0, path = p, recall = recallpath), fill = T) + + if( !grepl("baseline", alg) ) { + + recallpathsh <- nrow(affiliated_evaluation_results[ get(paste0("rankonlysuperholder_true_", alg)) <= k & path_length == p ])/nrow(affiliated_evaluation_results[ path_length == p | is.na(path_length) ] ) + + algorithm_recall_by_pathlength <- rbind(algorithm_recall_by_pathlength, data.table(algorithm = alg, k = k, superholderpriority = 1, path = p, recall = recallpathsh), fill = T) + + } + + } + + } + +} + +# Save point +fwrite(algorithm_recall, file = "output/alphaicon_paper/uk_orgs_algorithm_evaluation_recall.csv") +fwrite(algorithm_recall_by_pathlength, file = "output/alphaicon_paper/uk_orgs_algorithm_evaluation_recall_by_pathlength.csv") + +# Manual inspection for tables +#algorithm_recall[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 1 ] +#algorithm_recall[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 3 ] +#algorithm_recall[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 5 ] +#algorithm_recall[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 10 ] + +#algorithm_recall_by_pathlength[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 1 & path == 1 ] +#algorithm_recall_by_pathlength[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 1 & path == 2 ] +#algorithm_recall_by_pathlength[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 1 & path == 3 ] +#algorithm_recall_by_pathlength[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 1 & path == 4 ] +#algorithm_recall_by_pathlength[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 1 & path == 5 ] +#algorithm_recall_by_pathlength[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 1 & path == 10 ] +#algorithm_recall_by_pathlength[ algorithm %in% c("baseline", "dpi", "npi", "transitive_alpha0.0", "transitive_alpha0.999", "transitivedpi_alpha0.999") & k == 1 & path == 12 ] + + +############ +# Plot the results + +library(data.table) +library(ggplot2) +library(ggthemes) +library(ggrepel) +library(stringi) +library(showtext) + +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Add the font to use +font_add_google("Open Sans", "Open Sans") +showtext_auto() + +# Load the files with evaluation results +algorithm_recall <- fread("output/alphaicon_paper/uk_orgs_algorithm_evaluation_recall.csv", encoding = "UTF-8") +algorithm_recall_by_pathlength <- fread("output/alphaicon_paper/uk_orgs_algorithm_evaluation_recall_by_pathlength.csv", encoding = "UTF-8") + +for(obj in c("algorithm_recall", "algorithm_recall_by_pathlength") ) { + + # Column marking whether we use DPI weights + get(obj)[, dpi_weights := 0] + get(obj)[grepl("dpi", algorithm, ignore.case = T), dpi_weights := 1] + + # Shorter names + get(obj)[, algorithm := gsub("transitive.*_alpha", "α=", algorithm)] + get(obj)[, algorithm := gsub("transitivedpi_alpha", "α=", algorithm)] + + # Extract alpha values from the name + get(obj)[, alpha := as.numeric(stri_split_fixed(algorithm, "α=", n = 2, simplify = T)[,2]) ] + + # Add the superholder mark to corresponding algorithm names + get(obj)[ superholderpriority == 1, algorithm := paste0(algorithm, " SH")] + + # Add the DPI weight mark to corresponding algorithm names + get(obj)[ dpi_weights == 1 & grepl("α", algorithm), algorithm := paste0(algorithm, " DPI")] + + # Certain names to upper case + get(obj)[, algorithm := gsub("dpi", "DPI", algorithm) ] + get(obj)[, algorithm := gsub("npi", "NPI", algorithm) ] + +} + +######## +# Produce the evaluation plots (overall) + +# One subset for display: only the best performing α-ICON versus other algorithms +algorithm_recall_otheralgs <- algorithm_recall[ algorithm %in% c("DPI", "NPI", "α=0.999", "α=0.999 SH")] + +## Other algorithms vs best and worst-performing α-ICON algorithm +recall_plot <- ggplot(aes(x = k, y = recall, group = algorithm, color = algorithm), data = algorithm_recall_otheralgs) + + geom_line(size = 1.5, alpha = 1) + + geom_point(size = 2) + + scale_x_continuous(breaks = 1:10) + + geom_text(aes(label = algorithm, colour = algorithm, x = k-1, y = recall), data = algorithm_recall_otheralgs[k == 1 & algorithm == "DPI"], size = 8, hjust = 0.3) + + geom_text(aes(label = algorithm, colour = algorithm, x = k-1, y = recall), data = algorithm_recall_otheralgs[k == 1 & algorithm == "α=0.999"], size = 8, hjust = 0.7) + + geom_text(aes(label = algorithm, colour = algorithm, x = k-1, y = recall), data = algorithm_recall_otheralgs[k == 1 & algorithm == "NPI"], size = 8, hjust = 0.3) + + geom_text(aes(label = algorithm, colour = algorithm, x = k-1, y = recall), data = algorithm_recall_otheralgs[k == 1 & algorithm == "α=0.999 SH"], size = 8, hjust = 0.5, vjust = -0.6) + + #geom_text_repel(aes(label = algorithm, colour = algorithm, x = k-1, y = recall), data = algorithm_recall_otheralgs[k == 1], size = 8, hjust = 0.5) + + labs(y = expression("Recall @ "~italic("k")), x = expression(italic("k"))) + + #scale_colour_brewer(type = "qual", palette = 2) + + scale_color_manual(name = "", values = c("#b2df8a", "#33a02c", "#a6cee3", "#1f78b4")) + + expand_limits(x = c(-1.5, 10)) + + theme_minimal() + theme(legend.position = "none", text = element_text(size = 18, family = "Open Sans"), panel.grid.major = element_blank(), panel.grid.minor = element_blank()) + +ggsave(recall_plot, file = "output/alphaicon_paper/recall_plot.pdf", width = 12, height = 9, device = cairo_pdf, scale = 0.6) + +# Another subset for display: only α-ICON under different alphas +algorithm_recall_onlyalphas <- algorithm_recall[ alpha > 0 & superholderpriority == 1 & dpi_weights == 0] + +# Group the duplicated values of recall at alphas +alpha_group <- algorithm_recall_onlyalphas[ k == 1, list(alphagroup = .GRP), by = "recall"] +alpha_group <- merge(alpha_group, algorithm_recall_onlyalphas[ k == 1, c("alpha", "recall")], by = "recall") +alpha_group[, recall := NULL] +# Generate the label text for alpha group +alpha_group[, minalpha := min(alpha), by = "alphagroup"] +alpha_group[, maxalpha := max(alpha), by = "alphagroup"] + +alpha_group[ minalpha == maxalpha, alphagrouplabel := as.character(round(alpha, 1))] +alpha_group[ minalpha != maxalpha, alphagrouplabel := as.character(paste0(round(minalpha, 1), "-", round(maxalpha, 3)))] +alpha_group[, alphagrouplabel := paste0("α=", alphagrouplabel)] + +algorithm_recall_onlyalphas[, alphagroup := alpha_group[match(algorithm_recall_onlyalphas$alpha, alpha_group$alpha)]$alphagrouplabel] + +# Make alpha groups unique +algorithm_recall_onlyalphas <- unique(algorithm_recall_onlyalphas, by = c("alphagroup", "k")) + +## Other algorithms vs best and worst-performing transitive algorithm +recall_plot_alphas <- ggplot(aes(x = k, y = recall, group = alphagroup, color = as.factor(alpha)), data = unique(algorithm_recall_onlyalphas)) + + geom_line(size = 1.5, alpha = 1) + + geom_point(size = 2) + + scale_x_continuous(breaks = 1:10) + + geom_text(aes(label = alphagroup, colour = as.factor(alpha), group = alphagroup, x = k-2.5, y = recall), size = 8, data = algorithm_recall_onlyalphas[k == 4 & alpha == 0.1 ], hjust = 0.3) + + geom_text(aes(label = alphagroup, colour = as.factor(alpha), group = alphagroup, x = k-2.5, y = recall), size = 8, data = algorithm_recall_onlyalphas[k == 2 & alpha == 0.5 ], vjust = -4, hjust = 0.1) + + geom_text(aes(label = alphagroup, colour = as.factor(alpha), group = alphagroup, x = k-2.5, y = recall), size = 8, data = algorithm_recall_onlyalphas[k == 3 & alpha == 0.7 ], hjust = -0.1) + + geom_text(aes(label = alphagroup, colour = as.factor(alpha), group = alphagroup, x = k-2.5, y = recall), size = 8, data = algorithm_recall_onlyalphas[k == 1 & alpha == 0.8 ], vjust = 1, hjust = -0.1) + + geom_text(aes(label = alphagroup, colour = as.factor(alpha), group = alphagroup, x = k-2.5, y = recall), size = 8, data = algorithm_recall_onlyalphas[k == 2 & alpha == 0.9 ], hjust = 0.4) + + #geom_text_repel(aes(label = alphagroup, colour = as.factor(alpha), group = alphagroup, x = k-2.5, y = recall), size = 8, data = algorithm_recall_onlyalphas[k == 1], hjust = 0, min.segment.length = 10) + + scale_colour_brewer(type = "qual", palette = 2) + + labs(y = expression("Recall @ "~italic("k")), x = expression(italic("k"))) + + expand_limits(x = c(-2, 10)) + + theme_minimal() + theme(legend.position = "none", text = element_text(size = 18, family = "Open Sans"), panel.grid.major = element_blank(), panel.grid.minor = element_blank()) + +ggsave(recall_plot_alphas, file = "output/alphaicon_paper/recall_plot_alphas.pdf", width = 12, height = 9, device = cairo_pdf, scale = 0.6) + +# For reporting: table with recall +algorithms_to_report <- c("baseline", "DPI", "NPI", "NPI SH", "α=0.0", "α=0.999", "α=0.999 SH", "α=0.999 SH DPI") + +algorithm_recall[, recall := round(recall, 3) ] +algorithm_recall[ k == 1 & algorithm %in% algorithms_to_report, c("algorithm", "recall")] +algorithm_recall[ k == 3 & algorithm %in% algorithms_to_report, c("algorithm", "recall")] +algorithm_recall[ k == 5 & algorithm %in% algorithms_to_report, c("algorithm", "recall")] +algorithm_recall[ k == 10 & algorithm %in% algorithms_to_report, c("algorithm", "recall")] + + +######## +# Produce the evaluation plots (by path length) + +# One subset for display: only the best performing α-ICON versus other algorithms +algorithm_recall_by_pathlength_otheralgs <- algorithm_recall_by_pathlength[ algorithm %in% c("NPI", "α=0.999", "α=0.999 SH") ] + +## Other algorithms vs best and worst-performing α-ICON algorithm +recall_path_plot <- ggplot(aes(x = path, y = recall, group = algorithm, color = algorithm), data = algorithm_recall_by_pathlength_otheralgs[ k == 1 ]) + + geom_line(size = 1.5, alpha = 1) + + geom_point(size = 2) + + scale_x_continuous(breaks = 1:12) + + scale_y_continuous(limits = c(0, 1)) + + labs(y = "Recall @ 1 for parents within path", x = expression(italic("l")~", path length from subsidiary to parent")) + + #scale_colour_brewer(type = "qual", palette = 3) + + scale_color_manual(name = "", values = c("#b2df8a", "#33a02c", "#1f78b4")) + + expand_limits(x = c(1, 12)) + + theme_minimal() + theme(legend.position = "bottom", text = element_text(size = 18, family = "Open Sans"), panel.grid.major = element_blank(), panel.grid.minor = element_blank()) + +ggsave(recall_path_plot, file = "output/alphaicon_paper/recall_path_plot_at_1.pdf", width = 12, height = 9, device = cairo_pdf, scale = 0.6) + +# For reporting: table with recall +algorithm_recall_by_pathlength[, recall := round(recall, 3) ] + +algorithms_path_length_to_report <- c("baseline", "DPI", "NPI", "NPI SH", "α=0.0", "α=0.999", "α=0.999 SH", "α=0.999 SH DPI") + +algorithm_recall_by_pathlength[ path == 1 & algorithm %in% algorithms_path_length_to_report & k == 1, c("algorithm", "recall") ] +algorithm_recall_by_pathlength[ path == 2 & algorithm %in% algorithms_path_length_to_report & k == 1, c("algorithm", "recall") ] +algorithm_recall_by_pathlength[ path == 3 & algorithm %in% algorithms_path_length_to_report & k == 1, c("algorithm", "recall") ] +algorithm_recall_by_pathlength[ path == 4 & algorithm %in% algorithms_path_length_to_report & k == 1, c("algorithm", "recall") ] +algorithm_recall_by_pathlength[ path == 5 & algorithm %in% algorithms_path_length_to_report & k == 1, c("algorithm", "recall") ] +algorithm_recall_by_pathlength[ path == 10 & algorithm %in% algorithms_path_length_to_report & k == 1, c("algorithm", "recall") ] +algorithm_recall_by_pathlength[ path == 12 & algorithm %in% algorithms_path_length_to_report & k == 1, c("algorithm", "recall") ] diff --git a/code/alphaicon_paper/6_rank_top_holders.r b/code/alphaicon_paper/6_rank_top_holders.r new file mode 100644 index 0000000..c2fb7fa --- /dev/null +++ b/code/alphaicon_paper/6_rank_top_holders.r @@ -0,0 +1,431 @@ +# This code sums the computed control shares +# of the super-holders in the PSC data and +# produces the rankings under different algorithms +# for the α-ICON paper +library(data.table) +library(lubridate) +library(stringi) +library(stringr) +library(stargazer) + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +############ +# Data loading + +# Load the active participants snapshot of PSC (prepared by data_preparation/uk/2_psc_snapshot_to_participants_panel.r) +psc <- fread("output/uk/uk_organisations_participants_2021_long_2aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") + +# Load the companies data (prepared by data_preparation/uk/1b_process_companies_data.r) +load("data/uk/uk_basic_companies_data_2021-08-01.rdata") + +# Load the DPI of each participant after 10000 iterations (computed by alphaicon_paper/2_compute_npi_dpi.r) +holders_dpi <- fread("output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_dpi_10000iter.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") +setnames(holders_dpi, c("entity", "participant", "dpi"), c("company_number", "participant_id", "share")) +holders_dpi[, times_pivotal := NULL ] + +# Load the NPI of each participant after 10000 iterations (computed by alphaicon_paper/2_compute_npi_dpi.r) +holders_npi <- fread("output/uk/npi_dpi/10000iter/uk_organisations_participants_2021_long_7sep21_npi_10000iter.csv", integer64 = "character", na.strings = "", encoding = "UTF-8") +setnames(holders_npi, c("entity", "participant", "npi"), c("company_number", "participant_id", "share")) +holders_npi[, times_pivotal := NULL ] + +# Load the transitive ownership data at various alpha +# (prepared by alphaicon_paper/1_compute_alphaicon.ipynb) +alphas <- c("0.0", "0.1", "0.2", "0.3", "0.4", "0.5", "0.6", "0.7", "0.8", "0.9", "0.999") + +for( a in alphas) { + + temp <- fread(paste0("output/uk/transitive/uk_organisations_transitive_ownership_alpha", a, "_2021_long_2aug21.csv"), integer64 = "character", na.strings = "", encoding = "UTF-8", colClasses = c("character", "character", "numeric")) + + assign(paste0("holders_transitive_alpha", a), temp) + + rm(temp) + +} + +# Load the data on graph membership +# (prepared by alphaicon_paper/1_compute_alphaicon.ipynb) +graph_membership <- fread("output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv", integer64 = "character", na.strings = "", encoding = "UTF-8", header = T, colClasses = c("numeric", "character", "factor")) +graph_membership[, V1 := NULL ] +setnames(graph_membership, "company_number/id", "participant_id") + +# All holder objects that are loaded in the memory +holder_objects <- paste0("holders_", c("dpi", "npi", paste0("transitive_alpha", alphas))) + +# Add the graph membership and remove self-loops +for(obj in holder_objects) { + + get(obj)[, participant_type := graph_membership[ match(get(obj)$participant_id, graph_membership$participant_id) ]$type ] + get(obj)[, company_type := graph_membership[ match(get(obj)$company_number, graph_membership$participant_id) ]$type ] + + assign(obj, get(obj)[ company_number != participant_id ]) + +} + +psc[, participant_type := graph_membership[ match(psc$participant_id, graph_membership$participant_id) ]$type ] +psc[, company_type := graph_membership[ match(psc$company_number, graph_membership$participant_id) ]$type ] + + +############ +# Identify top holders + +# Compute total holdings (weighted and unweighted by assets) +holdings_dpi <- holders_dpi[, list( sumdpi = sum(share)), by = "participant_id"] +holdings_dpi[, rankdpi := frankv(sumdpi, order = -1, ties.method = "first")] + +holdings_npi <- holders_npi[, list( sumnpi = sum(share)), by = "participant_id"] +holdings_npi[, ranknpi := frankv(sumnpi, order = -1, ties.method = "first")] + +# Normalize shares by type to one for our transitive data +holders_transitive_alpha0.999[, share_typenormalized := share/sum(share), by = c("company_number", "participant_type")] + +# Keep only super-holders and sum up their shares +holdings_transitive <- holders_transitive_alpha0.999[participant_type == "SH", list( sumtransitive = sum(share_typenormalized)), by = "participant_id"] + +# Rank the holders by their share +holdings_transitive[, ranktransitive := frankv(sumtransitive, order = -1, ties.method = "first")] + +# Top-100 participants by our metric compared to other metrics +top_holders <- setorderv(holdings_transitive, "ranktransitive", 1)[1:100] + +# Add ranks from other algorithms +top_holders <- merge(top_holders, holdings_dpi, by = "participant_id", all.x = T, all.y = F, sort = F) +top_holders <- merge(top_holders, holdings_npi, by = "participant_id", all.x = T, all.y = F, sort = F) + +# Proper names +## First, match on company number with companies data +top_holders[, participant_name := uk_basic_companies_data[ match(top_holders$participant_id, uk_basic_companies_data$CompanyNumber)]$CompanyName ] +## Second, extract the company name +top_holders[ str_count(participant_id, fixed("$")) == 2, participant_name := stri_split_fixed(participant_id, "$", n = 3, simplify = T)[,1] ] +## Third, add the first and last names of the persons +top_holders[ str_count(participant_id, fixed("$")) == 4, participant_name := paste0(stri_split_fixed(participant_id, "$", n = 4, simplify = T)[, 1], " ", stri_split_fixed(participant_id, "$", n = 4, simplify = T)[, 3]) ] + +## We no longer need participant id +#top_holders[, participant_id := NULL ] + +# Proper column order +setcolorder(top_holders, c("participant_name", "participant_id", "ranktransitive", "ranknpi", "rankdpi", "sumtransitive", "sumnpi", "sumdpi")) + +# Round the score +top_holders[, c("sumtransitive", "sumnpi", "sumdpi") := lapply(.SD, round, 1), .SDcols = c("sumtransitive", "sumnpi", "sumdpi") ] + +# Add the size of the network of holdings and the core-shell distribution +top_holders_network_chars <- data.table() + +for(superholder_id in top_holders$participant_id) { + + # Debug: superholder_id <- "SC095000" + + # Ultimate companies held by this organization + holders_subset_ultimate <- holders_transitive_alpha0.999[ participant_id %in% superholder_id ] + + # Consider their total interest in all entities + holders_subset <- psc[ participant_id %in% unique(holders_subset_ultimate$company_number) | company_number %in% unique(holders_subset_ultimate$company_number) ] + holders_subset <- holders_subset[ !is.na(equity_share)] + holders_subset <- holders_subset[ participant_id != company_number] + + # Share to 0-1 range + setnames(holders_subset, "equity_share", "share") + holders_subset[, share := share/100] + + ## Create an object with vertex metadata + vertex_metadata <- unique(rbind(unique(data.table( name = holders_subset$company_number, type = holders_subset$company_type)), + data.table( name = holders_subset$participant_id, type = holders_subset$participant_type) + ), by = "name") + + # Count all vertex types + out <- vertex_metadata[, .N, by = "type"] + # Transpose + out <- dcast(melt(out, id.vars = "type"), variable ~ type) + out[, variable := NULL ] + + # Keep only the columns of interest in the order of interest + types_of_interest <- c("SH", "ST", "I", "C") + names_outside_types_of_interest <- types_of_interest[!(types_of_interest %in% names(out))] + if( length(names_outside_types_of_interest) > 0) { + out[, c(names_outside_types_of_interest) := 0] + } + out <- out[, types_of_interest, with = F] + + # Add the network size + out <- data.table(participant_id = superholder_id, nodes = nrow(vertex_metadata), out) + + top_holders_network_chars <- rbind(top_holders_network_chars, out, fill = T) + + message(superholder_id) + +} + +# Add to the top holders data +top_holders <- merge(top_holders, top_holders_network_chars, by = "participant_id", sort = F) + +# Write to CSV +fwrite(top_holders, file = "output/alphaicon_paper/uk_organisations_top100_holders_2021_long_2aug21.csv") + +# Produce a TeX table +#stargazer(top_holders[1:25, -"participant_id"], type = "latex", summary = F, out = "output/alphaicon_paper/uk_organisations_top25_holders_2021_long_2aug21.tex", float = F, multicolumn = T, digits = 1) + +# Export the information on top-25 entities with the largest deviation between ranks +combined_holdings <- merge(holdings_dpi, holdings_npi, by = "participant_id", all = T) +combined_holdings <- merge(combined_holdings, holdings_transitive, by = "participant_id", all = T) + +combined_holdings[, diff_npi_dpi := sumnpi - sumdpi ] +combined_holdings[, diff_transitive_dpi := sumtransitive - sumdpi ] +combined_holdings[, diff_transitive_npi := sumtransitive - sumnpi ] + +top100_holders_diff_npi_dpi <- setorderv(combined_holdings, "diff_npi_dpi", -1, na.last = T)[1:100] +top100_holders_diff_transitive_dpi <- setorderv(combined_holdings, "diff_transitive_dpi", -1, na.last = T)[1:100] +top100_holders_diff_transitive_npi <- setorderv(combined_holdings, "diff_transitive_npi", -1, na.last = T)[1:100] + +# Export point +#fwrite(top100_holders_diff_npi_dpi, file = "output/alphaicon_paper/uk_organisations_top100_holders_diff_npi_dpi_2021_long_2aug21.csv") +#fwrite(top100_holders_diff_transitive_dpi, file = "output/alphaicon_paper/uk_organisations_top100_holders_diff_transitive_dpi_2021_long_2aug21.csv") +#fwrite(top100_holders_diff_transitive_npi, file = "output/alphaicon_paper/uk_organisations_top100_holders_diff_transitive_npi_2021_long_2aug21.csv") + +############ +# Agreement between rankings + +# Add the ranks (takes time) +for(obj in holder_objects) { + + # Create temporary variable prioritising super-holders + if( grepl("transitive", obj) ) { + + get(obj)[, superholder := 0] + get(obj)[participant_type == "SH", superholder := 1] + + } + # Sort by descending share within companies + if( grepl("transitive", obj) ) { + + setorderv(get(obj), c("company_number", "superholder", "share"), c(1, -1, -1)) + + } else { + + setorderv(get(obj), c("company_number", "share"), c(1, -1)) + + } + + # Add the rank that prioritises super-holders + get(obj)[, rank := 1:.N, by = c("company_number")] + + message(obj) + +} + +# Combine the ranks from all the methods +vars_to_keep <- c("company_number", "participant_id", "rank") + +## DPI and NPI +holders_rankings <- merge(holders_dpi[, c(vars_to_keep), with = F], holders_npi[, c(vars_to_keep), with = F], by = c("company_number", "participant_id"), all = T) +setnames(holders_rankings, c("rank.x", "rank.y"), c("rank_dpi", "rank_npi")) + +## Add transitive holder hankings (only super-holders or top-ranking non-super-holders) +for( a in alphas) { + + holders_rankings <- merge(holders_rankings, get(paste0("holders_transitive_alpha", a))[ participant_type == "SH" | (participant_type != "SH" & rank == 1), c(vars_to_keep), with = F], by = c("company_number", "participant_id"), all = T) + setnames(holders_rankings, c("rank"), paste0("rank_transitive", a)) + +} + +# Count holders by company from each method +holders_rankings[, countholders_dpi := sum(!is.na(rank_dpi)), by = "company_number"] + +holders_rankings[, countholders_npi := sum(!is.na(rank_npi)), by = "company_number"] + +for( a in alphas) { + + holders_rankings[, paste0("countholders_transitive", a) := sum(!is.na(get(paste0("rank_transitive", a)))), by = "company_number"] + + message(a) + +} + +# Pairs of counts of holders by company +holders_rankings[, countholders_dpi_npi := sum(!is.na(rank_dpi) & !is.na(rank_npi)), by = "company_number"] + +for( a in alphas) { + + holders_rankings[, paste0("countholders_dpi_transitive", a) := sum(!is.na(rank_dpi) & !is.na(get(paste0("rank_transitive", a)))), by = "company_number"] + + holders_rankings[, paste0("countholders_npi_transitive", a) := sum(!is.na(rank_npi) & !is.na(get(paste0("rank_transitive", a)))), by = "company_number"] + + message(a) + +} + +## Compute company-level Kendal's tau-b rank correlation coefficient +### (takes about 15 minutes per pair) +tau_dpi_npi <- holders_rankings[ countholders_dpi_npi > 1 & !is.na(rank_dpi) & !is.na(rank_npi), list(kendalltau_dpi_npi = cor(rank_dpi, rank_npi, method = "kendall", use = "pairwise.complete.obs")), by = "company_number"] + +for( a in alphas) { + + eval(parse(text = paste0("tau_dpi_transitive", a, " <- holders_rankings[ countholders_dpi_transitive", a, " > 1 & !is.na(rank_dpi) & !is.na(rank_transitive", a, "), list(kendalltau_dpi_transitive", a, " = cor(rank_dpi, rank_transitive", a, ", method = 'kendall', use = 'pairwise.complete.obs')), by = 'company_number']"))) + + eval(parse(text = paste0("tau_npi_transitive", a, " <- holders_rankings[ countholders_npi_transitive", a, " > 1 & !is.na(rank_npi) & !is.na(rank_transitive", a, "), list(kendalltau_npi_transitive", a, " = cor(rank_npi, rank_transitive", a, ", method = 'kendall', use = 'pairwise.complete.obs')), by = 'company_number']"))) + + message(a) + +} + +# Examples of companies with complex rankings +#holders_rankings[ company_number == "00026306"] +#holders_rankings[ company_number == "00000529"] +#holders_rankings[ company_number == "00018751"] + +# Debug: these should be zeros +#holders_rankings[ countholders_dpi == 1 & countholders_npi == 1 & rank_dpi != rank_npi] +#holders_rankings[ countholders_transitive0.999 == 1 & countholders_npi == 1 & rank_transitive0.999 != rank_npi] + +# Add the tau-b = 1 for companies with one participant (both direct and indirect) +tau_dpi_npi <- rbind(tau_dpi_npi, data.table(company_number = unique(holders_rankings[ countholders_dpi == 1 & countholders_npi == 1 & !is.na(rank_dpi) & !is.na(rank_npi) ]$company_number), kendalltau_dpi_npi = 1)) + +for( a in alphas) { + + eval(parse(text = paste0("tau_dpi_transitive", a, " <- rbind(tau_dpi_transitive", a, ", data.table( company_number = unique(holders_rankings[ countholders_dpi == 1 & countholders_transitive", a, " == 1 & !is.na(rank_dpi) & !is.na(rank_transitive", a, ")]$company_number), kendalltau_dpi_transitive", a, " = 1))"))) + + eval(parse(text = paste0("tau_npi_transitive", a, " <- rbind(tau_npi_transitive", a, ", data.table( company_number = unique(holders_rankings[ countholders_npi == 1 & countholders_transitive", a, " == 1 & !is.na(rank_npi) & !is.na(rank_transitive", a, ")]$company_number), kendalltau_npi_transitive", a, " = 1))"))) + +} + +# Add the tau-b = -1 for companies with differing number of participants +# where ranks do not match. Example: holders_rankings[ company_number == "00026306"] +tau_dpi_npi <- rbind(tau_dpi_npi, data.table(company_number = unique(holders_rankings[ !(company_number %in% tau_dpi_npi$company_number)]$company_number), kendalltau_dpi_npi = -1)) + +for( a in alphas) { + + eval(parse(text = paste0("tau_dpi_transitive", a, " <- rbind(tau_dpi_transitive", a, ", data.table( company_number = unique(holders_rankings[ !(company_number %in% tau_dpi_transitive", a, "$company_number) ]$company_number), kendalltau_dpi_transitive", a, " = -1))"))) + + eval(parse(text = paste0("tau_npi_transitive", a, " <- rbind(tau_npi_transitive", a, ", data.table( company_number = unique(holders_rankings[ !(company_number %in% tau_npi_transitive", a, "$company_number) ]$company_number), kendalltau_npi_transitive", a, " = -1))"))) + + +} + +# Finally, we need to fill in NAs like tau_dpi_transitive0.999[company_number == "00001615"] +# holders_rankings[ company_number == "00001615" ] +# holders_rankings[ company_number == "SO307326" ] +# holders_rankings[ company_number == "00000529" ] + +# Merge the taus +for( a in alphas) { + + if( which(alphas == a) == 1 ) { + + kendall_taus_participant_ranks <- merge(tau_dpi_npi, get(paste0("tau_dpi_transitive", a)), by = "company_number", all = T) + kendall_taus_participant_ranks <- merge(kendall_taus_participant_ranks, get(paste0("tau_npi_transitive", a)), by = "company_number", all = T) + + + } else { + + kendall_taus_participant_ranks <- merge(kendall_taus_participant_ranks, get(paste0("tau_dpi_transitive", a)), by = "company_number", all = T) + kendall_taus_participant_ranks <- merge(kendall_taus_participant_ranks, get(paste0("tau_npi_transitive", a)), by = "company_number", all = T) + + } + + message(a) +} + +# Add the information on the count of holders +kendall_taus_participant_ranks <- merge(kendall_taus_participant_ranks, unique(holders_rankings[, c("company_number", "countholders_dpi", "countholders_npi", paste0("countholders_transitive", alphas)), with = F], by = "company_number"), by = "company_number", all.x = T, all.y = F) + +# Save point +fwrite(kendall_taus_participant_ranks, file = "output/alphaicon_paper/kendall_taus_participant_ranks_dpi_npi_transitive_uk_organisations_participants_2021_7sep21.csv") + +############ +# Analyse the agreement between rankings +library(data.table) +library(ggplot2) +library(ggthemes) +library(ggrepel) +library(stringi) +library(stringr) +library(stargazer) +library(showtext) + +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Add the font to use +font_add_google("Open Sans", "Open Sans") +showtext_auto() + +# Load the produced CSV with Kendall's tau-b +taus_longs <- fread("output/alphaicon_paper/kendall_taus_participant_ranks_dpi_npi_transitive_uk_organisations_participants_2021_7sep21.csv", encoding = "UTF-8") + +# To long form (each line is method and alpha) +taus <- melt(taus_longs, id.vars = "company_number", measure.vars = names(taus_longs)[grepl("kendalltau", names(taus_longs))], variable.name = "pair", value.name = "tau", na.rm = T, variable.factor = T) + +countholders <- melt(taus_longs, id.vars = "company_number", measure.vars = names(taus_longs)[grepl("countholders", names(taus_longs))], variable.name = "algorithm", value.name = "countholders", na.rm = T, variable.factor = T) + +# Convert pairs to extract useful information +alg_pairs <- data.table(pair = levels(taus$pair)) +alg_pairs[, pair_modif := gsub("kendalltau_", "", pair, fixed = T)] +alg_pairs[, c("algorithm1", "algorithm2") := as.data.table(stri_split_fixed(pair_modif, "_", n = 2, simplify = T))] +alg_pairs[, pair_modif := NULL] +alg_pairs[, pair := factor(pair, levels = levels(taus$pair))] +alg_pairs[, alpha := NA_real_ ] +alg_pairs[ grepl("transitive", algorithm2), alpha := as.numeric(gsub("transitive", "", algorithm2))] +alg_pairs[ grepl("transitive", algorithm2), algorithm2 := gsub("[^transitive]", "", algorithm2)] +alg_pairs[, algorithm1 := factor(algorithm1, levels = c("dpi", "npi", "transitive"))] +alg_pairs[, algorithm2 := factor(algorithm2, levels = c("dpi", "npi", "transitive"))] + +taus <- merge(taus, alg_pairs, by = "pair") +taus[, pair := NULL] +gc() + +# Same for countholders +alg_counts <- data.table(algorithm = levels(countholders$algorithm)) +alg_counts[, alg_modif := gsub("countholders_", "", algorithm)] +alg_counts[ grepl("transitive", alg_modif), alpha := as.numeric(gsub("transitive", "", alg_modif))] +alg_counts[ grepl("transitive", alg_modif), alg_modif := gsub("[^transitive]", "", alg_modif)] +alg_counts[, alg_modif := factor(alg_modif, levels = c("dpi", "npi", "transitive"))] + +countholders <- merge(countholders, alg_counts, by = "algorithm") +countholders[, algorithm := NULL] +setnames(countholders, "alg_modif", "algorithm") +gc() + +# Add count holders to tau +#taus <- merge(taus, countholders, by.x = c("algorithm1", "alpha"), by.y = c("algorithm", "alpha")) +#setnames(taus, "countholders", "countholders1") + +#taus <- merge(taus, countholders, by.x = c("algorithm2", "alpha"), by.y = c("algorithm", "alpha")) +#setnames(taus, "countholders", "countholders2") + +# Add entity industry to the data (peak use of 40 GB) +taus[, industrysection := uk_basic_companies_data[ match(taus$company_number, uk_basic_companies_data$CompanyNumber)]$industrysection_1 ] +gc() + +# Summary statistics of Kendall's tau-b + +## Mean, overall +taus_overall_mean <- taus[!is.na(tau), list(tau = mean(tau), tausemean = sd(tau)/sqrt(.N)), by = c("algorithm1", "algorithm2", "alpha")] + +## Mean, by industry +taus_industry_mean <- taus[!is.na(tau) & !is.na(industrysection), list( tau = mean(tau), tausemean = sd(tau)/sqrt(.N)), by = c("algorithm1", "algorithm2", "alpha", "industrysection")] + +# Export point +#fwrite(taus_overall_mean, file = "output/alphaicon_paper/mean_kendall_taus_participant_ranks_dpi_npi_transitive_uk_organisations_participants_2021_7sep21.csv") +#fwrite(taus_industry_mean, file = "output/alphaicon_paper/mean_by_industrysection_kendall_taus_participant_ranks_dpi_npi_transitive_uk_organisations_participants_2021_7sep21.csv") + +# Produce the plot with overall mean +taus_overall_mean[ grepl("dpi|npi", algorithm1), algorithm1 := toupper(algorithm1)] + +## Other algorithms vs best and worst-performing transitive algorithm +taus_mean_plot <- ggplot(aes(x = alpha, y = tau, group = algorithm1, color = algorithm1), data = taus_overall_mean[ algorithm1 == "NPI" & algorithm2 == "transitive"]) + + geom_line(size = 1.5, alpha = 1) + + geom_point(size = 2) + + geom_text(aes(label = round(tau, 4)), size = 2.5, nudge_y = 0.0005) + + scale_x_continuous( breaks = c(seq(0, 0.9, 0.1), 0.999), labels = c(seq(0, 0.9, 0.1), 0.999), guide = guide_axis(n.dodge = 1)) + + #facet_wrap(. ~ algorithm1, scales = "free_y")+ + labs(y = expression("Kendall's "~tau~"-b betw. NPI\nand "~alpha~"-ICON SH ranks"), x = expression(alpha)) + + scale_colour_brewer(type = "qual", palette = 2) + + theme_minimal() + theme(legend.position = "none", text = element_text(size = 14, family = "Open Sans"), panel.grid.major = element_blank(), panel.grid.minor = element_blank()) + +#ggsave(taus_mean_plot, file = "output/alphaicon_paper/taus_mean_plot.pdf", width = 8.5, height = 4, device = cairo_pdf, scale = 1) + +# Export to a table +#stargazer(taus_overall_mean[ algorithm1 == "NPI" & algorithm2 == "transitive"], type = "latex", summary = F, out = "output/alphaicon_paper/taus_overall_mean.tex", float = F, multicolumn = T, digits = 5) \ No newline at end of file diff --git a/code/data_preparation/uk/1a_process_psc_snapshot.r b/code/data_preparation/uk/1a_process_psc_snapshot.r new file mode 100644 index 0000000..41c6b69 --- /dev/null +++ b/code/data_preparation/uk/1a_process_psc_snapshot.r @@ -0,0 +1,52 @@ +# This code reads in the JSONL with daily +# Persons with Significant Control snapshot +# and saves the data on control in long format +# to a cleaned .rdata object +library(data.table) +library(ndjson) +library(lubridate) +library(stringi) +library(stringr) + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Stream in the JSONL with daily Persons with Significant Control +# information from http://download.companieshouse.gov.uk/en_pscdata.html +# (takes about 2 hours to load) +psc_snapshot <- ndjson::stream_in("data/uk/persons-with-significant-control-snapshot-2021-08-02.txt", cls = "dt") + +# Unify the names +names(psc_snapshot) <- gsub("^data\\.", "", names(psc_snapshot), perl = T) + +# Coerce variables to relevant types +## To dates +to_ymd_dates <- unique(c("ceased_on", "notified_on", names(psc_snapshot)[grepl("exempt_from|exempt_to", names(psc_snapshot))])) + +psc_snapshot[, c(to_ymd_dates) := lapply(.SD, ymd), .SDcols = to_ymd_dates ] + +# Remove last row with overall statistics +psc_snapshot[, c("exemptions_count", "generated_at", "persons_of_significant_control_count", "statements_count") := NULL ] +psc_snapshot <- psc_snapshot[!is.na(company_number)] + +# Remove exemptions +psc_snapshot <- psc_snapshot[ kind != "exemptions"] +psc_snapshot[, names(psc_snapshot)[grepl("exempt", names(psc_snapshot))] := NULL ] + +# Remove statements +psc_snapshot <- psc_snapshot[ kind != "persons-with-significant-control-statement" ] +psc_snapshot[, statement := NULL ] + +# Remove variables with all NAs +na_count <- sapply(psc_snapshot, function(y) sum(length(which(is.na(y))))) +empty_vars <- names(na_count[ which( nrow(psc_snapshot) - na_count == 0) ]) +psc_snapshot[, c(empty_vars) := NULL ] + +# Kind to factor +psc_snapshot[, kind := as.factor(kind)] + +# Save point +save(psc_snapshot, file = "data/uk/psc_snapshot_2021-08-02.rdata", compress = "gzip") diff --git a/code/data_preparation/uk/1b_process_companies_data.r b/code/data_preparation/uk/1b_process_companies_data.r new file mode 100644 index 0000000..43fc56b --- /dev/null +++ b/code/data_preparation/uk/1b_process_companies_data.r @@ -0,0 +1,107 @@ +# This code reads in the CSV with data +# on live UK companies and saves the data +# to a cleaned .rdata object +library(data.table) +library(lubridate) +library(stringi) +library(stringr) + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Read in the CSV with Free Company Data Product snapshot +# from http://download.companieshouse.gov.uk/en_output.html +uk_basic_companies_data <- fread("data/uk/BasicCompanyDataAsOneFile-2021-08-01.csv", encoding = "UTF-8", na.strings = "") + +# Remove certain columns +cols_to_remove <- names(uk_basic_companies_data)[ grepl("PreviousName|Mortgages|ConfStmt", names(uk_basic_companies_data))] +uk_basic_companies_data[, c(cols_to_remove) := NULL ] + +# Empty to NA +for(j in seq_along(uk_basic_companies_data)) { + set(uk_basic_companies_data, i = which(uk_basic_companies_data[[j]] == ""), j=j, value = NA) +} + +# Convert dates +cols_to_date <- names(uk_basic_companies_data)[ grepl("Date", names(uk_basic_companies_data))] + +uk_basic_companies_data[, c(cols_to_date) := lapply(.SD, dmy), .SDcols = cols_to_date ] + +# Vars to factor +cols_to_factor <- c("RegAddress.Country", "CompanyCategory", "CompanyStatus", "CountryOfOrigin", "Accounts.AccountCategory") + +uk_basic_companies_data[, c(cols_to_factor) := lapply(.SD, as.factor), .SDcols = cols_to_factor ] + +# Split into industry code and industry name +uk_basic_companies_data[, SICCode.SicText_1 := as.character(SICCode.SicText_1) ] +uk_basic_companies_data[, SICCode.SicText_2 := as.character(SICCode.SicText_2) ] +uk_basic_companies_data[, SICCode.SicText_3 := as.character(SICCode.SicText_3) ] +uk_basic_companies_data[, SICCode.SicText_4 := as.character(SICCode.SicText_4) ] + +uk_basic_companies_data[, c("industrycode_1", "industryname_1") := as.data.table(stri_split_fixed(SICCode.SicText_1, " - ", n = 2, simplify = T))] +uk_basic_companies_data[, c("industrycode_2", "industryname_2") := as.data.table(stri_split_fixed(SICCode.SicText_2, " - ", n = 2, simplify = T))] +uk_basic_companies_data[, c("industrycode_3", "industryname_3") := as.data.table(stri_split_fixed(SICCode.SicText_3, " - ", n = 2, simplify = T))] +uk_basic_companies_data[, c("industrycode_4", "industryname_4") := as.data.table(stri_split_fixed(SICCode.SicText_4, " - ", n = 2, simplify = T))] + +# Fix empty entries +uk_basic_companies_data[ nchar(industryname_1) < 2, industrycode_1 := NA_character_] +uk_basic_companies_data[ nchar(industryname_1) < 2, industryname_1 := NA_character_] + +uk_basic_companies_data[ nchar(industryname_2) < 2, industrycode_2 := NA_character_] +uk_basic_companies_data[ nchar(industryname_2) < 2, industryname_2 := NA_character_] + +uk_basic_companies_data[ nchar(industryname_3) < 2, industrycode_3 := NA_character_] +uk_basic_companies_data[ nchar(industryname_3) < 2, industryname_3 := NA_character_] + +uk_basic_companies_data[ nchar(industryname_4) < 2, industrycode_4 := NA_character_] +uk_basic_companies_data[ nchar(industryname_4) < 2, industryname_4 := NA_character_] + +uk_basic_companies_data[, c("SICCode.SicText_1", "SICCode.SicText_2", "SICCode.SicText_3", "SICCode.SicText_4") := NULL ] + +# Load SIC 2007 numeric coding of industries +sic_codes <- fread("data/uk/sic_2007_code_list.csv", encoding = "UTF-8", na.strings = "", colClasses = "character") + +# Add leading zeros to industry codes +sic_codes[ nchar(sic_code) == 4, sic_code := paste0("0", sic_code) ] + +# Debug +#uk_basic_companies_data[ industryname_1 %in% sic_codes[ substr(sic_code, 1, 1) == "0" ]$sic_description & substr(industrycode_1, 1, 1) != "0" ] +#uk_basic_companies_data[ industryname_2 %in% sic_codes[ substr(sic_code, 1, 1) == "0" ]$sic_description & substr(industrycode_2, 1, 1) != "0" ] + +# Add industry section +uk_basic_companies_data[, industrysection_1 := sic_codes[ match(substr(uk_basic_companies_data$industrycode_1, 1, 2), substr(sic_codes$sic_code, 1, 2)) ]$section_description ] +uk_basic_companies_data[ industrycode_1 == "99999", industrysection_1 := NA ] + +uk_basic_companies_data[, industrysection_2 := sic_codes[ match(substr(uk_basic_companies_data$industrycode_2, 1, 2), substr(sic_codes$sic_code, 1, 2)) ]$section_description ] +uk_basic_companies_data[ industrycode_2 == "99999", industrysection_2 := NA ] + +uk_basic_companies_data[, industrysection_3 := sic_codes[ match(substr(uk_basic_companies_data$industrycode_3, 1, 2), substr(sic_codes$sic_code, 1, 2)) ]$section_description ] +uk_basic_companies_data[ industrycode_3 == "99999", industrysection_3 := NA ] + +uk_basic_companies_data[, industrysection_4 := sic_codes[ match(substr(uk_basic_companies_data$industrycode_4, 1, 2), substr(sic_codes$sic_code, 1, 2)) ]$section_description ] +uk_basic_companies_data[ industrycode_4 == "99999", industrysection_4 := NA ] + +# Factor coercion for industry codes +industry_names <- unique(c(uk_basic_companies_data$industryname_1, uk_basic_companies_data$industryname_2, uk_basic_companies_data$industryname_3, uk_basic_companies_data$industryname_4)) +industry_names <- industry_names[!is.na(industry_names)] +industry_names <- industry_names[order(industry_names)] + +industry_sections <- unique(c(uk_basic_companies_data$industrysection_1, uk_basic_companies_data$industrysection_2, uk_basic_companies_data$industrysection_3, uk_basic_companies_data$industrysection_4)) +industry_sections <- industry_sections[!is.na(industry_sections)] +industry_sections <- industry_sections[order(industry_sections)] + +uk_basic_companies_data[, industryname_1 := factor(industryname_1, levels = industry_names) ] +uk_basic_companies_data[, industryname_2 := factor(industryname_2, levels = industry_names) ] +uk_basic_companies_data[, industryname_3 := factor(industryname_3, levels = industry_names) ] +uk_basic_companies_data[, industryname_4 := factor(industryname_4, levels = industry_names) ] + +uk_basic_companies_data[, industrysection_1 := factor(industrysection_1, levels = industry_sections) ] +uk_basic_companies_data[, industrysection_2 := factor(industrysection_2, levels = industry_sections) ] +uk_basic_companies_data[, industrysection_3 := factor(industrysection_3, levels = industry_sections) ] +uk_basic_companies_data[, industrysection_4 := factor(industrysection_4, levels = industry_sections) ] + +# Save point +save(uk_basic_companies_data, file = "data/uk/uk_basic_companies_data_2021-08-01.rdata", compress = "gzip") diff --git a/code/data_preparation/uk/2_psc_snapshot_to_participants_panel.r b/code/data_preparation/uk/2_psc_snapshot_to_participants_panel.r new file mode 100644 index 0000000..7f4fd9e --- /dev/null +++ b/code/data_preparation/uk/2_psc_snapshot_to_participants_panel.r @@ -0,0 +1,89 @@ +# This code converts PSC data into +# a long CSV with entity-participant +# mapping that we will in the study +library(data.table) +library(lubridate) +library(stringi) +library(stringr) + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Load the PSC snapshot (prepared by 1a_process_psc_snapshot.r) +load("data/uk/psc_snapshot_2021-08-02.rdata") + +# Load the companies data as well (prepared by 1b_process_companies_data.r) +load("data/uk/uk_basic_companies_data_2021-08-01.rdata") + +# Keep only active companies and exclude data on secret participants +participants <- psc_snapshot[ is.na(ceased) & is.na(ceased_on) & company_number %in% uk_basic_companies_data[ CompanyStatus == "Active"]$CompanyNumber & kind != "super-secure-person-with-significant-control", c("company_number", "date_of_birth.month", "date_of_birth.year", "kind", "name", "name_elements.forename", "name_elements.middle_name", "name_elements.surname", "identification.country_registered", "identification.registration_number", names(psc_snapshot)[grepl("natures_of_control", names(psc_snapshot))] ), with = F ] + +# Create participant name +## For individuals it is a concatenation of name and DOB +participants[kind == "individual-person-with-significant-control", participant_name := paste(toupper(name_elements.forename), toupper(name_elements.middle_name), toupper(name_elements.surname), date_of_birth.year, date_of_birth.month, sep = "$") ] +## For entities it is a concatenation of name, ID and country of incorporation +participants[kind != "individual-person-with-significant-control", participant_name := paste(toupper(name), toupper(identification.country_registered), toupper(identification.registration_number), sep = "$") ] +## Add NAs +participants[is.na(name) & is.na(name_elements.forename) & is.na(name_elements.middle_name) & is.na(name_elements.surname), participant_name := NA ] + +# Participant ID is either domestic company number or individual name +## Consider company number as identifier +participants[ grepl("England|scotland|wales|^uk$|uk\\s+|United Kingdom|Great Britain|london|Cardiff|Engalnd|E\\&W|britain|Gb-Sct|N\\.Ireland|N\\. Ireland|Englan|Englad|Engand|Companies House|United Kindom|U\\.K|Gb-Nir|Unitied Kingdom|United Kingom|Endland|Great Britian|United Kigdom|Northern Ireland|Belfast|Englang|Gb-Wls|Kent|Enland|Sotland|Rngland|Englane|Scotlan|Englanf|Enagland|Staffordshire|Northen Ireland|Enagland|Englang|Englamd|Northamptonshire|Engkand|Emgland|England|United Kingtom|English|Devon|Durham|Stirlingshire|Register Of Companies|United Kingdo|Unitedd Kingdom|United Kingd|Scotlnd|Cumbria|Renfrewshire|Uunited Kingdom|Noerthern Ireland|Shropshire|Englabnd|Uk Company|United Kingdown|United King|U\\. K\\.|Ukl", identification.country_registered, perl = T, ignore.case = T) & identification.registration_number %in% unique(c(uk_basic_companies_data$CompanyNumber, psc_snapshot$company_number)), participant_id := identification.registration_number ] + +## Create unique company name-company number mapping +## to restore company numbers +uk_company_name_number_mapping <- uk_basic_companies_data[, list(count_samename = .N), by = c("CompanyName") ] +uk_company_name_number_mapping <- uk_company_name_number_mapping[ count_samename == 1 ] +uk_company_name_number_mapping[, company_number := uk_basic_companies_data[ match(uk_company_name_number_mapping$CompanyName, uk_basic_companies_data$CompanyName)]$CompanyNumber ] +uk_company_name_number_mapping[, count_samename := NULL ] + +## Add this to participant IDs +participants[ kind == "corporate-entity-person-with-significant-control", participant_id_namebased := uk_company_name_number_mapping[ match(toupper(participants[kind == "corporate-entity-person-with-significant-control"]$name), toupper(uk_company_name_number_mapping$CompanyName))]$company_number] + +## Perform the replacement (about 95 thousand companies more now have proper IDs) +participants[ kind == "corporate-entity-person-with-significant-control" & is.na(participant_id) & !is.na(participant_id_namebased), participant_id := participant_id_namebased ] +participants[, participant_id_namebased := NULL ] + +## If match on company ID fails, use the name-dob combination +participants[is.na(participant_id), participant_id := participant_name ] + +# Remove irrelevant fields (except for "kind" as it is crucial in determining the participant_id) +participants[, c("date_of_birth.month", "date_of_birth.year", "name", "name_elements.forename", "name_elements.middle_name", "name_elements.surname", "identification.country_registered", "identification.registration_number", "participant_name") := NULL ] + +# Remove possible duplicates +nrow(participants) # 5502058 +participants <- unique(participants, by = c("company_number", "participant_id")) +nrow(participants) # 5482200 + +# To long data to obtain equity shares +participants_long <- melt(participants, id.vars = c("company_number", "participant_id"), value.name = "nature_of_control", na.rm = T) +participants_long[, variable := NULL ] + +participants_long[, equity_share := NA_real_] +participants_long[grepl("25-to-50", nature_of_control, perl = T), equity_share := 37.5] +participants_long[grepl("50-to-75", nature_of_control, perl = T), equity_share := 62.5] +participants_long[grepl("75-to-100", nature_of_control, perl = T), equity_share := 87.5] + +# Back to participants data, but now with equity share +temp <- participants_long[, list(equity_share = max(equity_share, na.rm = T)), by = c("company_number", "participant_id")] +temp[!is.finite(equity_share), equity_share := NA] +participants <- merge(participants[, c("company_number", "participant_id", "kind"), with = F], temp, by = c("company_number", "participant_id"), all = F, sort = F) + +# Replace NAs with proper value of full ownership if we have one person per entity +participants[, persons_per_entity := .N, by = "company_number" ] +participants[persons_per_entity == 1 & is.na(equity_share), equity_share := 87.5 ] +participants[, persons_per_entity := NULL ] + +# Shorter kinds +participants[ kind == "individual-person-with-significant-control", kind := "individual" ] +participants[ kind == "corporate-entity-person-with-significant-control", kind := "entity" ] +participants[ kind == "legal-person-person-with-significant-control", kind := "legal_person" ] + +# Proper order and save point +setorderv(participants, c("company_number", "participant_id")) + +# Save point +fwrite(participants, file = "output/uk/uk_organisations_participants_2021_long_2aug21.csv", eol = "\n") diff --git a/code/data_preparation/uk/3_prepare_affiliated_entities_evaluation_data.r b/code/data_preparation/uk/3_prepare_affiliated_entities_evaluation_data.r new file mode 100644 index 0000000..c2f12b5 --- /dev/null +++ b/code/data_preparation/uk/3_prepare_affiliated_entities_evaluation_data.r @@ -0,0 +1,125 @@ +# This code processes the dump of +# CorpWatch EDGAR data to create +# a CSV with entity-participant +# mapping from SEC 10-K Exhibit 21 +# that we will use in the study +library(data.table) +library(lubridate) +library(stringi) +library(stringr) + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Load the data from http://api.corpwatch.org/ dump +# (http://api.corpwatch.org/documentation/db_dump/) + +## Company information (name, id, location) +## This information includes data on parent-subsidiary relationship +company_info <- fread("data/corpwatch_api_tables_csv_14aug21/company_info.csv", encoding = "UTF-8", na.strings = c("", "NULL")) + +## Company locations +company_locations <- fread("data/corpwatch_api_tables_csv_14aug21/company_locations.csv", encoding = "UTF-8", na.strings = c("", "NULL")) + +## Company name-id mapping +cik_name_lookup <- fread("data/corpwatch_api_tables_csv_14aug21/cik_name_lookup.csv", encoding = "UTF-8", na.strings = c("", "NULL")) + +## Add locations to the company information +company_info[, country := company_locations[ match(company_info$best_location_id, company_locations$location_id) ]$country_code ] + +### Extract subsidiaries of UK companies active in 2020--2021 (whichever comes latest) +uk_subsidiary_companies_filers <- company_info[ year >= 2020 & country == "GB" & top_parent_id != cw_id, c("year", "company_name", "cw_id", "num_parents", "num_children", "top_parent_id"), with = F] +### Get the latest available year +setorderv(uk_subsidiary_companies_filers, c("cw_id", "year"), c(1, -1)) +uk_subsidiary_companies_filers <- unique(uk_subsidiary_companies_filers, by = c("cw_id")) +uk_subsidiary_companies_filers[, year := NULL ] + +## Parent-subsidiary ID mapping +uk_parent_subsidiary_mapping <- unique(uk_subsidiary_companies_filers[, c("cw_id", "top_parent_id", "company_name")]) +setnames(uk_parent_subsidiary_mapping, c("subsidiary_cw_id", "parent_cw_id", "subsidiary_name")) + +# Add namesakes +## For subsidiaries +uk_parent_subsidiary_mapping <- merge(uk_parent_subsidiary_mapping, cik_name_lookup[, c("cw_id", "edgar_name")], by.x = "subsidiary_cw_id", by.y = "cw_id", all.x = T, all.y = F) +uk_parent_subsidiary_mapping[!is.na(edgar_name) & subsidiary_name != edgar_name, subsidiary_name := edgar_name ] +uk_parent_subsidiary_mapping[, edgar_name := NULL ] +## For parents +uk_parent_subsidiary_mapping[, parent_name := company_info[year >= 2020][ match(uk_parent_subsidiary_mapping$parent_cw_id, company_info[year >= 2020]$cw_id) ]$company_name ] +uk_parent_subsidiary_mapping <- merge(uk_parent_subsidiary_mapping, cik_name_lookup[, c("cw_id", "edgar_name")], by.x = "parent_cw_id", by.y = "cw_id", all.x = T, all.y = F) +uk_parent_subsidiary_mapping[ !is.na(edgar_name) & parent_name != edgar_name, parent_name := edgar_name ] +uk_parent_subsidiary_mapping[, edgar_name := NULL ] + +uk_parent_subsidiary_mapping <- unique(uk_parent_subsidiary_mapping) + +# Remove self-loops +uk_parent_subsidiary_mapping <- uk_parent_subsidiary_mapping[ subsidiary_cw_id != parent_cw_id ] + +uniqueN(uk_parent_subsidiary_mapping$parent_cw_id) # 1071 +uniqueN(uk_parent_subsidiary_mapping$subsidiary_cw_id) # 7634 + +# Match the parent-subsidiart data from SEC filings with PSC register on company names + +## Load the companies data prepared by 1b_process_companies_data.r +load("data/uk/uk_basic_companies_data_2021-08-01.rdata") + +## Load the participants panel prepared by 2_psc_snapshot_to_participants_panel.r +participants <- fread("output/uk/uk_organisations_participants_2021_long_2aug21.csv", encoding = "UTF-8", na.strings = "") + +## Keep only entities-persons with significant control +participants <- participants[ kind %in% c("entity", "legal_person") ] + +## Add the names to the participants panel +participants[, company_name := uk_basic_companies_data[ match(participants$company_number, uk_basic_companies_data$CompanyNumber) ]$CompanyName ] +participants[, participant_name := uk_basic_companies_data[ match(participants$participant_id, uk_basic_companies_data$CompanyNumber) ]$CompanyName ] +participants[, participant_name_bak := stri_split_fixed(participant_id, "$", n = 2, simplify = T)[,1] ] +participants[ is.na(participant_name) & !is.na(participant_name_bak), participant_name := participant_name_bak ] +participants[, participant_name_bak := NULL ] + +## Reduce the names of companies +### Name cleaner function +name_cleaner <- function(x) { + + out <- gsub("(['’\n ]|[[:punct:]]|[[:space:]]|[[:cntrl:]])+", " ", x, perl = T) + + out <- gsub(" LIMITED", " LTD", out, perl = T, ignore.case = T) + + out <- str_trim(out) + + return(out) + +} + +### Remove punctuation, stopwords, strip whitespaces from company_names +participants[, company_name_reduced := name_cleaner(toupper(company_name))] +participants[, participant_name_reduced := name_cleaner(toupper(participant_name))] + +uk_parent_subsidiary_mapping[, subsidiary_name_reduced := name_cleaner(toupper(subsidiary_name)) ] +uk_parent_subsidiary_mapping[, parent_name_reduced := name_cleaner(toupper(parent_name)) ] + +# UK company number - name mapping excluding namesakes +uk_company_name_number_mapping <- unique(participants[, c("company_number", "company_name_reduced"), with = F]) +uk_company_name_number_mapping[, count_namesakes := .N, by = "company_name_reduced" ] +uk_company_name_number_mapping <- uk_company_name_number_mapping[ count_namesakes == 1] +uk_company_name_number_mapping[, count_namesakes := NULL ] + +# Participant id - participant name mapping excluding namesakes +uk_participant_name_id_mapping <- unique(participants[, c("participant_id", "participant_name_reduced"), with = F]) +uk_participant_name_id_mapping[, count_namesakes := .N, by = "participant_name_reduced" ] +uk_participant_name_id_mapping <- uk_participant_name_id_mapping[ count_namesakes == 1] +uk_participant_name_id_mapping[, count_namesakes := NULL ] + +# Add company numbers to UK subsidiary companies from SEC 10-K Exhibit 21 +uk_parent_subsidiary_mapping[, company_number := uk_company_name_number_mapping[ match(uk_parent_subsidiary_mapping$subsidiary_name_reduced, uk_company_name_number_mapping$company_name_reduced) ]$company_number ] + +# Add participant_ids to parent companies from SEC 10-K Exhibit 21 +uk_parent_subsidiary_mapping[, participant_id := uk_participant_name_id_mapping[ match(uk_parent_subsidiary_mapping$parent_name_reduced, uk_participant_name_id_mapping$participant_name_reduced) ]$participant_id ] + +# Final list with only matched entries, excluding +# namesakes +uk_parent_subsidiary_mapping <- unique(uk_parent_subsidiary_mapping[ !is.na(company_number) & !is.na(participant_id), c("company_number", "participant_id", "subsidiary_cw_id", "parent_cw_id") ], by = c("company_number", "participant_id")) + +# Export point +fwrite(uk_parent_subsidiary_mapping, file = "data/uk/uk_parent_subsidiary_mapping_2020_2021_sec_filers_exhibit21.csv", eol = "\n") diff --git a/code/helper_functions/compute_power_index.r b/code/helper_functions/compute_power_index.r new file mode 100644 index 0000000..5f6dfd1 --- /dev/null +++ b/code/helper_functions/compute_power_index.r @@ -0,0 +1,248 @@ +# This code implements Algorithm 1 +# "Label propagation for NPI" +# from Mizuno, Doi, and Kurizaki (2020, p. 7) +# (https://doi.org/10.1371/journal.pone.0237862) +library(data.table) + +# Function to compute Network or Direct power index +# INPUTS: a data.table with participant-entity relations +# in long form or an igraph object with edge weights +# OUTPUTS: data.table with power index for each participant +# or named list with such table and labels from each iteration +# (if save_labels = T). + +compute_power_index <- function(relations_object, + participant_var = "participant", + entity_var = "entity", + weight_var = "weight", + powerindex = "dpi", # which power index to compute + iterations = 100, # how many iterations to run + quota = 50, # majority rule, % + epsilon = 0.01, # probability to restore the original label when computing the NPI + iterations_to_discard = 20, # how many iterations to discard when computing the NPI + save_labels = FALSE # whether to save labels from each iteration + ) { + + # Debug: powerindex <- "dpi"; iterations <- 100; quota <- 50; epsilon <- 0.01; iterations_to_discard <- 20; save_labels <- F; participant_var = "participant"; entity_var = "entity"; weight_var = "voting_share" + + # Input checks + ## Does the relations object exist and is it in correct form? + stopifnot("relations_object is not specified" = !missing(relations_object)) + + ## If the relations object is in igraph transform to a data.frame + if( "igraph" %in% class(relations_object) ) { + + relations_object <- igraph::as_data_frame(relations_object, what = "edges") + + # Check whether a weight column is present in the data (i.e. data.frame has at least 3 columns + stopifnot("`relations_object` graph does not have edge weights" = ncol(relations_object) >= 3) + + # Proper names + names(relations_object)[1:2] <- c(participant_var, entity_var) + + } + + ## If the relations object is not a data.table try to coerce to it + if( !("data.table" %in% class(relations_object)) ) { + + data.table::setDT(relations_object) + + } + + ## Are the participant and entity variables in the data? + stopifnot("`participant_var` variable not found in `relations_object`" = participant_var %in% names(relations_object)) + stopifnot("`entity_var` variable not found in `relations_object`" = entity_var %in% names(relations_object)) + stopifnot("`weight_var` variable not found in `relations_object`" = weight_var %in% names(relations_object)) + + ## Are the power index options correctly specified? + stopifnot("`powerindex` should be either dpi or npi" = powerindex %in% c("npi", "dpi")) + stopifnot("`save_labels` should be either TRUE or FALSE" = save_labels %in% c(TRUE, FALSE)) + + ## Are the parameters of the required type? + stopifnot("`iterations should` be an integer" = all.equal(iterations, as.integer(iterations)) ) + stopifnot("`iterations_to_discard` should be an integer not exceeding `iterations`" = (all.equal(iterations_to_discard, as.integer(iterations_to_discard)) & iterations_to_discard < iterations) | powerindex == "dpi" ) + min_weight <- min(relations_object[[weight_var]], na.rm = T) + max_weight <- max(relations_object[[weight_var]], na.rm = T) + stopifnot("`weight_var` should take non-negative numeric values" = min_weight >= 0 & is.finite(max_weight) & is.finite(min_weight) ) + stopifnot("epsilon should be in [0,1] range" = (epsilon >= 0 & epsilon <= 1) | powerindex == "dpi" ) + + ## Disable the `iterations_to_discard` option + ## when computing DPI + if( powerindex == "dpi" ) { + + iterations_to_discard <- 0 + + } + + # Remove observations with missing data + ## Participant + if( nrow(relations_object[ is.na(get(participant_var)) ]) > 0 ) { + + warning(paste0("Removing rows with missing ", participant_var, " before computation")) + relations_object <- relations_object[ !is.na(get(participant_var)) ] + + } + ## Entity + if( nrow(relations_object[ is.na(get(entity_var)) ]) > 0 ) { + + warning(paste0("Removing rows with missing ", entity_var, " before computation")) + relations_object <- relations_object[ !is.na(get(entity_var)) ] + + } + ## Weight + if( nrow(relations_object[ is.na(get(weight_var)) ]) > 0 ) { + + warning(paste0("Removing rows with missing ", weight_var, " before computation")) + relations_object <- relations_object[ !is.na(get(weight_var)) ] + + } + + # Init an object to update labels in each iteration + updating_relations <- copy(relations_object[, c(participant_var, entity_var, weight_var), with = F]) + setnames(updating_relations, c("participant", "entity", "weight")) + + # Init an object to store per-iteration + # entity labels (i.e. who the pivotal + # shareholder is) + if( save_labels == T) { + + iteration_labels <- data.table() + + # Otherwise we store overall counts of each + # label being named a pivot + } else { + + pivot_counts <- updating_relations[, c("participant", "entity")] + pivot_counts[, times_pivotal := 0 ] + + } + + # Create a progress bar to report on iteration progess + message(paste0("Iterating through ", iterations, " permutations:")) + iterations_progess_bar <- txtProgressBar(min = 0, max = iterations, style = 3) + + for(i in 1:iterations) { + + # Randomly order rows within entities + updating_relations[, random_var := runif(.N)] + setorderv(updating_relations, c("entity", "random_var")) + + # Breaking cycles when computing NPI: restore original + # labels for the random set of rows with epsilon + # probability + if( powerindex == "npi" & epsilon > 0 ) { + + entities_to_restore <- unique(updating_relations[ random_var <= epsilon ]$entity) + + if( length(entities_to_restore) > 0 ) { + + restored_entities <- relations_object[ get(entity_var) %in% entities_to_restore, c(participant_var, entity_var, weight_var), with = F] + setnames(restored_entities, c("participant", "entity", "weight")) + + # Randomly shuffle the labels to restore as well respect random ordering + restored_entities[, random_var := runif(.N) ] + setorderv(restored_entities, c("entity", "random_var")) + + updating_relations <- rbind(updating_relations[ !( entity %in% entities_to_restore) ], + restored_entities, + fill = T) + + } + + } + # Compute cumulative sums of voting rights by entity + updating_relations[, cumulative_weight := cumsum(weight), by = "entity"] + + # Lagged cumulative voting share + # shift() is not optimized with many groups + # (https://github.com/Rdatatable/data.table/issues/1534) + # so we cannot simply use `by` statement as below + # updating_relations[, cumulative_weight_l1 := shift(cumulative_weight, type = "lag", n = 1), by = "entity"] + # + # Instead, consider a two-step hack that uses our entity ordering + # to mark as missing lagged weights for the first participant per entity + updating_relations[, cumulative_weight_l1 := shift(cumulative_weight, type = "lag", n = 1)] + updating_relations[, entity_l1 := shift(entity, type = "lag", n = 1)] + updating_relations[entity != entity_l1, cumulative_weight_l1 := NA_real_ ] + + # Identify pivots + pivots <- updating_relations[ cumulative_weight >= quota & (cumulative_weight_l1 < quota | is.na(cumulative_weight_l1) ), c("participant", "entity") ] + + # Store pivots from each iteration in a designated object + if( save_labels == T) { + + iteration_labels <- rbind(iteration_labels, data.table(iteration = i, pivots), fill = T) + + # NB: ^ this is the most problematic step in terms of scaling. + # Where to store and access an N * number of iterations table + # with labels when N is huge and iterations = 20 000? We need + # to save pivots for ~3 million entities 20 thousand times. + # + # Alternatively you can write pivots from each iteration to a separate CSV + # but you will still end up with 20 thousand files, each having ~3 million lines. + + } + + # We can avoid storing the pivots altogether and just + # add to the total count of times a given partipant is + # named pivotal in a given entity. We also discard + # the first `iterations_to_discard` iterations + if( save_labels == F & i > iterations_to_discard ) { + + # We row bind the current pivots to the existing counts + # and then sum. This might be faster than merging on + # entity and participant. + # In fact, it is very slow + pivot_counts <- rbind(pivot_counts, data.table(pivots, times_pivotal = 1), fill = T) + pivot_counts <- pivot_counts[, list( times_pivotal = sum(times_pivotal) ), by = c("entity", "participant")] + + } + + # When computing NPI: update the participant + # labels with pivots identified during this + # iteration step + if( powerindex == "npi" ) { + + updating_relations[, participant_update := pivots[ match(updating_relations$participant, pivots$entity) ]$participant ] + updating_relations[ !is.na(participant_update), participant := participant_update ] + updating_relations[, participant_update := NA ] + + # Sum up the updated shares for the next iteration + updating_relations <- updating_relations[, list(weight = sum(weight)), by = c("entity", "participant")] + + } + + # Update the progress bar + setTxtProgressBar(iterations_progess_bar, i) + + } + + # Compute the index itself + if( save_labels == T ) { + + # Count the number of times this + # participant was named the pivotal player, + # discarding first `iterations_to_discard` iterations + index_values <- iteration_labels[iteration > iterations_to_discard, list(times_pivotal = .N), by = c("entity", "participant")] + + } else { + + index_values <- pivot_counts + + } + + # Compute the index + index_values[, index := times_pivotal/(iterations - iterations_to_discard) ] + setnames(index_values, "index", powerindex) + + if( save_labels == T ) { + + return(list(index_values = index_values, iteration_labels = iteration_labels)) + + } else { + + return(index_values) + + } + +} diff --git a/code/helper_functions/install_dependencies.r b/code/helper_functions/install_dependencies.r new file mode 100644 index 0000000..b398594 --- /dev/null +++ b/code/helper_functions/install_dependencies.r @@ -0,0 +1,22 @@ +# Install the required dependencies + +# Declare working directory beforehand in an environment variable +# ALPHAICON_PATH = "path_to_your_folder" +# with the aid of usethis::edit_r_environ() +# Restart R session for the changes to make effect +setwd(Sys.getenv('ALPHAICON_PATH')) + +# Read in the file with dependencies +packages <- readLines(con <- file("DEPENDENCIES", encoding = "UTF-8")) +packages <- gsub("^\\s+", "", packages[2:length(packages)]) +packages <- gsub("\\s+.*$", "", packages) + +# Install the uninstalled packages +missing_packages <- setdiff(packages, rownames(installed.packages())) + +if ( length(missing_packages) > 0 ) { + + # Install the latest versions of all the packages + install.packages(missing_packages, quiet = T) + +} diff --git a/data/corpwatch_api_tables_csv_14aug21/cik_name_lookup.csv b/data/corpwatch_api_tables_csv_14aug21/cik_name_lookup.csv new file mode 100644 index 0000000..e69de29 diff --git a/data/corpwatch_api_tables_csv_14aug21/company_info.csv b/data/corpwatch_api_tables_csv_14aug21/company_info.csv new file mode 100644 index 0000000..e69de29 diff --git a/data/corpwatch_api_tables_csv_14aug21/company_locations.csv b/data/corpwatch_api_tables_csv_14aug21/company_locations.csv new file mode 100644 index 0000000..e69de29 diff --git a/data/uk/BasicCompanyDataAsOneFile-2021-08-01.csv b/data/uk/BasicCompanyDataAsOneFile-2021-08-01.csv new file mode 100644 index 0000000..e69de29 diff --git a/data/uk/persons-with-significant-control-snapshot-2021-08-02.txt b/data/uk/persons-with-significant-control-snapshot-2021-08-02.txt new file mode 100644 index 0000000..e69de29 diff --git a/data/uk/psc_snapshot_2021-08-02.rdata b/data/uk/psc_snapshot_2021-08-02.rdata new file mode 100644 index 0000000..e69de29 diff --git a/data/uk/sic_2007_code_list.csv b/data/uk/sic_2007_code_list.csv new file mode 100644 index 0000000..e69de29 diff --git a/data/uk/uk_basic_companies_data_2021-08-01.rdata b/data/uk/uk_basic_companies_data_2021-08-01.rdata new file mode 100644 index 0000000..e69de29 diff --git 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HOLDING AG$SWITZERLAND$CHE-108.562.489,PARTNERS GROUP HOLDING AG,3,3,2,1166.5,1166.5,1164.5,1170,2,1167,1,0 +AVTAR$NA$SINGH$1967$8,AVTAR SINGH,4,4,4,1051,1051,1051,1055,3,1052,0,0 +ANDREW$SIMON$DAVIS$1963$7,ANDREW DAVIS,5,6,2788,881.3,869.5,14.5,1020,107,895,18,0 +ROBERT$ANTHONY$JARRETT$1974$8,ROBERT JARRETT,6,5,5,873,873,873,874,1,873,0,0 +SC095000,LLOYDS BANKING GROUP PLC,7,8,24872,735.6,670.5,5,956,35,596,325,0 +CHRIS$NA$HADJIOANNOU$1981$1,CHRIS HADJIOANNOU,8,7,6,730,730,730,731,1,730,0,0 +11443992,BRIDGEPOINT GROUP PLC,9,10,5149,669.3,591.5,11,808,13,536,259,0 +READE$NA$GRIFFITH$1965$4,READE GRIFFITH,10,9,491331,657.5,636.5,1.5,868,25,374,469,0 +PERSIMMON PLC$ENGLAND$1818486,PERSIMMON PLC,11,11,2911,586,578.4,14,617,4,561,52,0 +INTERTRUST N.V.$THE NETHERLANDS$N/A,INTERTRUST N.V.,12,12,887094,519.7,511.8,1,530,4,353,173,0 +IWG PLC$JERSEY$122154,IWG PLC,13,13,10,481.8,481.7,422,497,6,473,18,0 +00604574,BARRATT DEVELOPMENTS P L C,14,17,587,481.1,473.6,31,530,9,446,75,0 +06035106,FRASERS GROUP PLC,15,16,2982,480.1,474.8,14,484,2,438,44,0 +GRZEGORZ$NA$SZEWCZYK$1985$7,GRZEGORZ SZEWCZYK,16,14,8,480,480,480,481,1,480,0,0 +DARREN$NA$SYMES$1958$10,DARREN SYMES,17,15,9,475.5,475.5,474.5,478,2,475,1,0 +08885072,PETS AT HOME GROUP PLC,18,19,1226949,468,389.1,1,770,216,514,40,0 +10657226,BGF GROUP PLC,19,23,6219,462.1,343,10,674,99,378,197,0 +03981143,OCTOPUS CAPITAL LIMITED,20,18,1624,414.5,411.7,19,431,4,310,117,0 +11444019,M&G PLC,21,20,17408,404,386.6,6,469,14,298,157,0 +00102498,BP P.L.C.,22,26,1757,377.8,336.4,18,493,5,390,96,2 +10510800,IVC ACQUISITION PIKCO LTD,23,21,1535931,370,366.3,1,371,1,341,29,0 +SUN LIFE FINANCIAL INC.$CANADA$F380,SUN LIFE FINANCIAL INC.,24,22,2086664,364.7,358.2,1,469,10,242,217,0 +03777037,PLACES FOR PEOPLE GROUP LIMITED,25,25,458,345.8,338.7,35.5,387,11,324,52,0 +KANE$STEVEN JAMES$WALLACE$1988$4,KANE WALLACE,26,24,12,342,342,342,343,1,342,0,0 +01417162,LEGAL & GENERAL GROUP PLC,27,28,3477,333.1,321,13,399,14,286,99,0 +04569346,DIGNITY PLC,28,27,45566,332.9,328.5,4,348,13,284,51,0 +02468686,AVIVA PLC,29,29,58547,316.1,305.8,4,372,11,261,100,0 +00621920,BRITISH LAND COMPANY PUBLIC LIMITED COMPANY(THE),30,30,11060,301.8,295.8,7.5,315,1,218,96,0 +01142830,3I GROUP PLC,31,35,1948,290.6,276.4,17.3,392,12,176,204,0 +00296805,TAYLOR WIMPEY PLC,32,33,6642,289.9,283.3,9.5,339,11,260,68,0 +00082548,REACH PLC,33,31,365,289.4,286.7,39,297,1,229,67,0 +BRYAN$ANTHONY$THORNTON$1955$7,BRYAN THORNTON,34,32,135,287.3,284.3,70,299,6,290,3,0 +08286875,WPP JUBILEE LIMITED,35,36,268,284.8,271.2,45.8,314,6,200,108,0 +RONALD$TERENCE$RICHARDS$1945$1,RONALD RICHARDS,36,34,17,280,280,280,281,1,280,0,0 +02877315,REDROW PLC,37,37,176901,273.2,269.7,2,292,5,268,19,0 +WOODLEY$LARKIN$HUNT$1945$11,WOODLEY HUNT,38,39,1331918,261.3,256.5,1,287,2,154,131,0 +HANNOVER RUCK SE$GERMANY$HRB 6778,HANNOVER RUCK SE,39,38,82217,261,258.4,3,262,1,254,7,0 +01470151,BAE SYSTEMS PLC,40,42,387,252.9,251.4,38,301,7,206,88,0 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new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.0_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.0_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.1_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.1_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.1_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.1_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.2_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.2_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.2_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.2_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.3_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.3_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.3_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.3_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.4_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.4_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.4_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.4_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.5_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.5_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.5_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.5_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.6_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.6_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.6_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.6_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.7_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.7_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.7_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.7_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.8_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.8_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.8_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.8_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.999_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.999_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.999_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.999_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.9_2021_long_2aug21.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.9_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.9_2021_long_7sep21_dpi_10000iter.csv b/output/uk/transitive/uk_organisations_transitive_ownership_alpha0.9_2021_long_7sep21_dpi_10000iter.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/uk_organisations_participants_2021_long_2aug21.csv b/output/uk/uk_organisations_participants_2021_long_2aug21.csv new file mode 100644 index 0000000..e69de29 diff --git a/output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv b/output/uk/uk_organisations_participation_graph_core_periphery_membership_6aug21.csv new file mode 100644 index 0000000..e69de29