Two techniques for exploring non-stationarity in geographical data

Geographical Systems

Volumn 4, Issue 1, 1997, Pages 59-82

  Fotheringham, A Stewart ^a   Charlton, Martin ^a   Brunsdon, Christopher ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

Exploratory spatial data analysis; Geographically Weighted Regression; Moving window; Spatial non stationarity; Visualisation

Indexed keywords

EID: 0001952078     PISSN: 10692665     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Aspinall, L. and Veitch, N. (1993) Habitat mapping and satellite imagery and wildlife survey data using a Bayesian modelling procedure in a GIS. Photogrammetric Engineering and Remote Sensing, 59, 537-543.
2. Balanovskaya, E. V. and Nurbaev, S. D. (1995) Computer-technology of gene geographic analysis of a gene pool. Genetika, 31(4), 536-559.
3. Bowman, A. W. (1984) An alternative method of cross-validation for the smoothing of density estimates. Biometrika, 71, 353-360.
4. Brunsdon, C. F. (1991) Estimating probability surfaces in GIS, and adaptive technique, in J. Harts, H. F. Ottens and J. H. Scholten (eds). Proceedings of the Second European Conference on Geographical Information Systems, EGIS Foundation, Utrecht, 155-163.
5. Brunsdon, C. F. (1995) Estimating probability surfaces for geographical point data: an adaptive kernel algorithm. Computers and Geosciences, 21(7), 877-894.
6. Chandler, V. W. and Malek, K. C. (1991) Moving-window poisson analysis of gravity and magnetic data from the Penokean region, east-central Minnesota. Geophysics, 56(1), 123-132.
7. Charlton, M. E., Fotheringham, A. S. and Brunsdon, C. (1996) The Geography of Relationships: An investigation of spatial non-stationarity, Manuscript available from authors.
8. Cleveland, W. S. (1979) Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74, 829-836.
9. Cleveland, W. S. and Devlin, S. J. (1988) Locally weighted regression: an approach to regression analysis by local fitting. Journal of the American Statistical Association, 83, 596-610.
10. Cressie, N. (1991) Statistics for Spatial Data. Chichester, Wiley.
11. Fotheringham, A. S., Charlton, M. and Brunsdon, C. (1996) The geography of parameter space: an investigation of spatial non-stationarity. International Journal of Geographical Information Systems, 10, 605-627.
12. Gandhi, P. P. and Kassam, S. A. (1991) Design and performance of combination filters for signal restoration. IEEE Transactions on Signal Processing, 39(7), 1524-1540.
13. Getis, A. and Ord, J. K. (1992) The analysis of spatial association by the use of distance statistics. Geographical Analysis, 24, 189-206.
14. Gorr, W. L. and Olligschlaeger, A. M. (1994) Weighted spatial adaptive filtering: Monte Carlo studies and application to illicit drug market modelling. Geographical Analysis, 26(1), 67-87.
15. Greig, D. M. (1980) Optimisation. London, Langman.
16. Hope, A. C. A. (1968) A simplified Monte Carlo significance test procedure. Journal of the Royal Statistical Society, Series B, 30, 582-598.
17. Jones, J. P. III and Casetti, E. (1992) Applications of the Expansion Method. London, Routledge.
18. Openshaw, S. (1993) Exploratory space-time-attribute pattern analysers, in A. S. Fotheringham and P. Rogerson (eds) Spatial Analysis and GIS, London Taylor and Francis, 147-163.
19. OPCS (1992) An introduction to the 1991 Census and its output, Census Division, OPCS, London.
20. Martin, D. (1989) Mapping population data from zone centroid locations. Transactions of the Institute of British Geographers, 14, 90-97.
21. Mommersteeg, H. P. J. M., Loutre, M. F., Young, R., Wijmstra, T. A. and Hooghiemstra, H. (1995) Orbital forced frequencies in the 975000-year pollen record from Tenagi-Philippon. Climate Dynamics, 11(1), 4-24.
22. Murray, M. R. and Baker, D. E. (1991) Mwindow - an interactive Fortran-77 program for calculating moving-window statistics. Computers and Geosciences, 17(1), 423-430.
23. Parzen, E. (1962) On the estimation of a probability density function and the mode. Annals of Mathematical Statistics, 33, 1065-1076.
24. Ratamdomopurbo, A. and Poupinet, G. (1995) Monitoring a temporal change of seismic activity in a volcano. Geophysical Research Letters, 22(7), 775-778.
25. Silverman, B. W. (1986) Density Estimation for Statistics and Data Analysis. London, Chapman and Hall.
26. Wand, M. P. and Jones, M. C. (1995) Kernel Smoothing. London, Chapman and Hall.