Spatial Data Configuration in Statistical Analysis of Regional Economic and Related Problems
by Giuseppe Arbia
1. Introduction: spatial effects and the role of configuration of data -- 1.1 Objectives and approaches -- 1.2 An overview of theoretical problems -- 1.3 A sketch of the methodology -- 1.4 An outline of the book -- 1.5 Omitted topics -- 2. Theoretical Problems Motivation -- 2.1 Introduction -- 2.2 The modifiable areal unit problem -- 2.3 The ecological fallacy problem -- 2.4 Problems in the estimation of the spatial correlogram -- 2.5 Summary and conclusion -- 3. The Configuration of Spatial Data in Regional Economics -- 3.1 Introduction -- 3.2 The nature of spatial data in regional economic analysis -- 3.3 Describing the configuration of irregular collecting areas -- 3.4 Conclusion -- Appendix 3.1 FORTRAN program to generate connectivity matrices with a considerably smaller matrix as an input -- Appendix 3.2 FORTRAN program to generate grouping matrices with a considerably smaller matrix as an input -- 4. Stochastic Spatial Processes -- 4.1 Stationary stochastic processes in two dimensions -- 4.2 Linear transformations of random processes -- 4.3 Inference on spatial stochastic processes -- 4.4 Summary and conclusion -- 5. Univariate Problems: The Modifiable Areal Unit Problem -- 5.1 Introduction -- 5.2 The scale problem : regular case -- 5.3 The scale problem : irregular case -- 5.4 The aggregation problem -- 5.5 Summary and conclusion -- Appendix 5.1 FORTRAN program for the recursive estimation of variance and covariance -- Appendix 5.2 FORTRAN program for the generation of pseudo-random regular zoning systems -- 6. Biyariate Problems: The Modifiable Areal Unit Problem and Correlation between Processes -- 6.1 Introduction -- 6.2 Scale and correlation between processes -- 6.3 Aggregation and correlation between processes -- 6.4 Summary and conclusion -- 7. Biyariate Problems: The Ecological Fallacy -- 7.1 Introduction -- 7.2 The ecological fallacy problem -- 7.3 Summary and conclusion -- Appendix 7.1: FORTRAN program for the generation of observations from a multivariate process with a very large variance-covariance matrix -- 8. The Dampening Effect of Spatial Correlograms -- 8.1 Introduction -- 8.2 The dampening effect -- 8.3 Simulation study -- 8.4 Summary and conclusion -- 9. Conclusion -- Appendices -- A.1 Population, employed and activity rates for local labour markets in Italy in 1981 Census -- A.2 Electricity consumption of Italian manufacturing industry in the first semester of 1985 -- A.3 Quadrats counts of houses in Hukuno town, Tonami plain, Japan (Matui, 1932) -- A.4 Weights of wheat plots of grain (Mercera Hall, 1911) -- A.5 Simulation methods in two dimensions -- References.