Econometric land use models study determinants of land-use-shares of different classes: ``agriculture'', ``forest'', ``urban'' and ``other'' for example. Land-use-shares have a compositional nature as well as an important spatial dimension. We compare two compositional regression models with a spatial autoregressive nature in the framework of land use. We study the impact of the choice of coordinate space. We discuss parameters interpretation taking into account the non linear structure as well as the spatial dimension. We compute and interpret the semi-elasticities of the shares with respect to the explanatory variables and the spatial impact summary measures.
compositional regression model; marginal effects; simplicial derivative; elasticity; semi-elasticity.;
- C10: General
- C39: Other
- C46: Specific Distributions • Specific Statistics
- C65: Miscellaneous Mathematical Tools
- M31: Marketing
- Q15: Land Ownership and Tenure • Land Reform • Land Use • Irrigation • Agriculture and Environment
Christine Thomas-Agnan, Thibault Laurent, Anne Ruiz-Gazen, Thi-Huong-An Nguyen, Raja Chakir, and Anna Lungarska, “Spatial Simultaneous Autoregressive Models for Compositional Data: Application to Land Use”, in Advances in Compositional Data Analysis, Peter Filzmoser, Karel Hron, Josep Antoni Martín-Fernández, and Javier Palarea-Albaladejo (eds.), 2021.
Christine Thomas-Agnan, Thibault Laurent, Anne Ruiz-Gazen, T.H.A Nguyen, Raja Chakir, and Anna Lungarska, “Spatial simultaneous autoregressive models for compositional data: Application to land use”, TSE Working Paper, n. 20-1098, May 2020, revised June 2021.
TSE Working Paper, n. 20-1098, May 2020, revised June 2021