Morphisms for Quantitative Spatial Analysis

Preamble ..............................................................................................................8Chapter 1 Introduction to Part 1: Spatial Statistics............................................................................. 101.1 Introduction ........................................................................................................................... 101.2 Polish employment data: 2006-2013. .................................................................................... 101.3 Polish data quality ................................................................................................................. 111.4 Concluding comments........................................................................................................... 14Chapter 2 Spatial Autocorrelation and the p-Median Problem .......................................................... 152.1 Introduction ........................................................................................................................... 152.2 Eigenvector spatial filtering in a nutshell.............................................................................. 152.3 Imputing missing spatial data................................................................................................ 162.4 The location-allocation problem............................................................................................ 172.5 Location-allocation solutions in the presence of missing and imputed data ......................... 192.6 Relationships between spatial autocorrelation and solutions to location-allocation problems................................................................................................................................ 222.7 Concluding comments........................................................................................................... 26Chapter 3 Space-Time Autocorrelation.............................................................................................. 283.1 Introduction ........................................................................................................................... 283.2 Specifying a space-time Moran Coefficient .......................................................................... 283.3 Properties of the space-time Moran Coefficient.................................................................... 313.4 Eigenvector space-time filtering............................................................................................ 333.5 Omitted variables in a description of space-time response variables .................................... 353.6 Concluding comments........................................................................................................... 37Chapter 4 The Relative Importance of Spatial and Temporal Autocorrelation.................................. 384.1 Introduction ........................................................................................................................... 384.2 Random effects: SSRE and SURE components.................................................................... 404.3 Estimating a SURE term: a sensitivity analysis .................................................................... 424.4 Time beats space ................................................................................................................... 444.5 Space beats time .................................................................................................................... 454.6 Concluding comments........................................................................................................... 46