Modelling Spatial Processes

1. Front Matter

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2. Introduction

   Pages 1-8

3. The regression model

   Pages 13-22

4. The specification of spatial relations

   Pages 23-35

5. Gaussian spatial processes

   Pages 37-54

6. The characteristic function

   Pages 59-66

7. Numerical evaluation of Imhof's formula

   Pages 67-73

8. The exact distribution of Moran's I

   Pages 75-88

9. The shape of Moran's I exact distribution

   Pages 89-98

10. The moments of Moran's I

    Pages 99-111

11. The basic ecological model and spatial setting

    Pages 117-128

12. A spatial analysis of the cancer data

    Pages 129-145

13. Conclusions

    Pages 147-151

14. Back Matter

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A novel methodology is put forward in this book, which empowers researchers to investigate and identify potential spatial processes among a set of regions. Spatial processes and their underlying functional spatial relationships are commonly observed in the geosciences and related disciplines. Examples are spatially autocorrelated random variables manifesting themselves in distinct global patterns as well as local clusters and hot spots, or spatial interaction leading to stochastic ties among the regions. An example from observational epidemiology demonstrates the flexibility of Moran's approach by analyzing the spatial distribution of cancer data from several perspectives. Recent advances in computing technology, computer algorithms, statistical techniques and global and local spatial patterns by means of Moran's I feasability. Moran's I is an extremely versatile tool for exploring and analyzing spatial data and testing spatial hypotheses.

• Demography
• Econometrics
• Geographie
• Geography
• Random variable
• Regional Science
• Ökonometrie

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