Article

A simultaneous spatial autoregressive model for compositional data

Thi-Huong-An Nguyen, Christine Thomas-Agnan, Thibault Laurent, and Anne Ruiz-Gazen

Abstract

In an election, the vote shares by party for a given subdivision of a territory form a compositional vector (positive components adding up to 1). Conventional multiple linear regression models are not adapted to explain this composition due to the constraint on the sum of the components and the potential spatial autocorrelation across territorial units. We develop a simultaneous spatial autoregressive model for compositional data that allows for both spatial correlation and correlations across equations. Using simulations and a data set from the 2015 French departmental election, we illustrate its estimation by two-stage and three-stage least squares methods.

Keywords

Multivariate Spatial Autocorrelation; Spatial Weight Matrix; Three-stage Least Squares; Two-stage; Least; Squares; simplex; electorel data; CoDa;

Replaces

T.H.A Nguyen, Christine Thomas-Agnan, Thibault Laurent, and Anne Ruiz-Gazen, A simultaneous spatial autoregressive model for compositional data, TSE Working Paper, n. 19-1028, July 2019, revised April 2020.

Reference

Thi-Huong-An Nguyen, Christine Thomas-Agnan, Thibault Laurent, and Anne Ruiz-Gazen, A simultaneous spatial autoregressive model for compositional data, Spatial Economic Analysis, 2021, forthcoming.

Published in

Spatial Economic Analysis, 2021, forthcoming