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Spatial Simultaneous Autoregressive Models for Compositional Data: Application to Land Use

In: Advances in Compositional Data Analysis

Author

Listed:
  • Christine Thomas-Agnan

    (University of Toulouse Capitole, Toulouse School of Economics)

  • Thibault Laurent

    (University of Toulouse Capitole, Toulouse School of Economics, CNRS)

  • Anne Ruiz-Gazen

    (University of Toulouse Capitole, Toulouse School of Economics)

  • Thi Huong An Nguyen

    (University of Toulouse Capitole, Toulouse School of Economics
    Danang University of Architecture)

  • Raja Chakir

    (Université Paris-Saclay, INRAE, AgroParisTech, Economie Publique)

  • Anna Lungarska

    (Université Paris-Saclay, INRAE, AgroParisTech, Economie Publique)

Abstract

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 and prove that a choice of coordinate representation does not have any impact on the parameters in the simplex as long as we do not impose further restrictions. We discuss parameters interpretation taking into account the non-linear structure as well as the spatial dimension. In order to assess the explanatory variables impact, we compute and interpret the semi-elasticities of the shares with respect to the explanatory variables and the spatial impact summary measures.

Suggested Citation

  • Christine Thomas-Agnan & Thibault Laurent & Anne Ruiz-Gazen & Thi Huong An Nguyen & Raja Chakir & Anna Lungarska, 2021. "Spatial Simultaneous Autoregressive Models for Compositional Data: Application to Land Use," Springer Books, in: Peter Filzmoser & Karel Hron & Josep Antoni Martín-Fernández & Javier Palarea-Albaladejo (ed.), Advances in Compositional Data Analysis, pages 225-249, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-71175-7_12
    DOI: 10.1007/978-3-030-71175-7_12
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    Keywords

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    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C39 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Other
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • M31 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - Marketing
    • Q15 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Land Ownership and Tenure; Land Reform; Land Use; Irrigation; Agriculture and Environment

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