| Citation: | Huang T T. A varying coefficient geographically weighted spatial lag model for compositional data[J]. Journal of Beijing University of Aeronautics and Astronautics，2024，50（7）：2256-2264 （in Chinese） doi: 10.13700/j.bh.1001-5965.2023.0347
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When it comes to area data with compositional factors, existing regression models seldom ever take spatial heterogeneity into account. To solve the problem, a compositional spatial autoregressive model with varying coefficients is proposed. By assuming that the spatial lag parameter, the compositional coefficient, and the numerical coefficient are functions of the location coordinates, the new model permits spatial effects and linear interactions between covariates and response to change in space. Based on isometric log-ratio (ILR) transformation, instrumental variables and local linear geographically weighted method, the parameters are estimated. The simulation study shows that the proposed model is superior to the existing spatial autoregressive model for compositional data, and the parameters estimation are effective. The utility of the proposed model is demonstrated by a real data set.
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