---
canonical_url: "https://csls.ca/ipm-archive/ipm-issue-43/appendix-spatial-production-model-derivation-and-industry-classification/"
title: "Appendix: Spatial Production Model Derivation and Industry Classification"
author:
  name: "CSLS"
  url: "https://csls.ca/author/cslc/"
date_published: "2026-07-13T08:14:52+00:00"
date_modified: "2026-07-13T08:14:52+00:00"
post_type: "ipm"
summary: ""
ipm_issue_period:
  - "Fall 2022"
ipm_keyword:
  - "derivation"
  - "EU KLEMS"
  - "industry classification"
  - "ISIC"
  - "spatial model"
  - "spillovers"
ipm_research_theme:
  - "Productivity trends and comparisons"
  - "Trade"
ipm_country_focus:
  - "Europe"
  - "United States"
featured_image: "https://csls.ca/wp-content/uploads/2026/06/IPM_50_banner.webp"
status: "publish"
---

# Appendix: Spatial Production Model Derivation and Industry Classification

Canonical URL: https://csls.ca/ipm-archive/ipm-issue-43/appendix-spatial-production-model-derivation-and-industry-classification/

# Appendix: Spatial Production Model Derivation and Industry Classification

[Download full PDF article](https://csls.ca/wp-content/uploads/2026/07/IPM-Issue-43-6b-Liu-Cheng-Sickles-Appendix.pdf)

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Cite this article as:

Liu, Weilin, Qian Cheng, and Robin Sickles. 2022. “Appendix: Spatial Production Model Derivation and Industry Classification.” International Productivity Monitor, No. 43 (Fall 2022): 16–16. https://www.csls.ca/ipm-archive/ipm-issue-43/appendix-spatial-production-model-derivation-and-industry-classification/

## Authors:

-
Weilin Liu
Nankai University; Rice University

-
Qian Cheng
Nankai University; Rice University

-
Robin Sickles
Rice University

## IPM Issue 43

Fall 2022 pp. 16–16

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## Abstract

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Mathematical appendix to IPM-43-6 providing derivation of the spatial production model estimation equation and the 31-industry ISIC Rev. 4 classification table used in the analysis.

[Download full PDF](https://csls.ca/wp-content/uploads/2026/07/IPM-Issue-43-6b-Liu-Cheng-Sickles-Appendix.pdf)