Bayesian areal interpolation, estimation, and smoothing: An inferential approach for geographic information systems

Environment and Planning A

Volumn 31, Issue 8, 1999, Pages 1337-1352

  Mugglin, A S ^a   Carlin, B P ^a   Zhu, L ^a   Conlon, E ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN ANALYSIS; CANCER; GIS; MEDICAL GEOGRAPHY; METHODOLOGY;

NEW YORK; TOMPKINS COUNTY; UNITED STATES;

EID: 0032831192     PISSN: 0308518X     EISSN: None     Source Type: Journal    
DOI: 10.1068/a311337     Document Type: Article

References (30)

1. Bernardinelli L, Clayton D G, Montomoli C, 1995, "Bayesian estimates of disease maps: how important are priors?" Statistics in Medicine 14 2411-2431
2. Besag J, 1974, "Spatial interaction and the statistical analysis of lattice systems" Journal of the Royal Statistical Society, Series B 36 192-236
3. Besag J, York J C, Mollié A, 1991, "Bayesian image restoration, with two applications in spatial statistics" Annals of the Institute of Statistical Mathematics 43 1-59
4. Best N G, Waller L A, Thomas A, Conlon E M, Arnold R A, 1999, "Bayesian models for spatially correlated disease and exposure data", in Bayesian Statistics 6 Eds J M Bernardo, J O Berger, A P Dawid, A F M Smith (Oxford University Press, Oxford) forthcoming
5. Carlin B P, Louis T A, 1996 Bayes and Empirical Bayes Methods for Data Analysis (Chapman and Hall, London)
6. Clayton D G, Kaldor J, 1987, "Empirical Bayes estimates of age-standardized relative risks for use in disease mapping" Biometrics 43 671-681
7. Cressie N A C, 1993 Statistics for Spatial Data 2nd edition (John Wiley, New York)
8. Fisher P F, Langford M, 1995, "Modelling the errors in areal interpolation between zonal systems by Monte Carlo simulation" Environment and Planning A 27 211-224
9. Flowerdew R, 1988, "Statistical methods for areal interpolation: predicting count data from a binary variable", RR 16, Northern Regional Research Laboratory, University of Lancaster and University of Newcastle upon Tyne, Newcastle upon Tyne
10. Flowerdew R, Green M, 1989, "Statistical methods for inference between incompatible zonal systems", in The Accuracy of Spatial Databases Eds M F Goodchild, S Gopal (Taylor and Francis, London) pp 239-247
11. Flowerdew R, Green M, 1990, "Inference between incompatible zonal systems using the EM algorithm", RR 6, North West Regional Research Laboratory, Lancaster University, Lancaster
12. Flowerdew R, Green M, 1991, "Data integration: statistical methods for transferring data between zonal systems", in Handling Geographical Information: Methodology and Potential Applications Eds I Masser, M Blakemore (Longman, Harlow, Essex) pp 38-54
13. Flowerdew R, Green M, 1992, "Developments in areal interpolating methods and GIS" Annals of Regional Science 26 67-78
14. Flowerdew R, Openshaw S, 1987, "A review of the problem of transferring data from one set of areal units to another incompatible set", RR 4, Northern Regional Research Laboratory, University of Lancaster, Lancaster and University of Newcastle upon Tyne, Newcastle upon Tyne
15. Flowerdew R, Green M, Kehris E, 1991, "Using areal interpolation methods in geographic information systems" Papers in Regional Science 70 303-315
16. Gelman A, Carlin J, Stern H, Rubin D B, 1995, "Bayesian Data Analysis (Chapman and Hall, London)
17. Gilks W R, Richardson S, Spiegelhalter D J (Eds), 1996 Markov Chain Monte Carlo in Practice (Chapman and Hall, London)
18. Goodchild M F, Lam N S, 1980, "Areal interpolation: a variant of the traditional spatial problem" Geoprocessing 1 297-312
19. Goodchild M F, Anselin L, Deichmann U, 1993, "A framework for the areal interpolation of socioeconomic data" Environment and Planning A 25 383-397
20. Hastings W K, 1970, "Monte Carlo sampling methods using Markov chains and their applications" Biometrika 57 97-109
21. Hepple L W, 1995a, "Bayesian techniques in spatial and network econometrics: 1. Model comparison and posterior odds" Environment and Planning A 27 447-469
22. Hepple L W, 1995b, "Bayesian techniques in spatial and network econometrics: 2. Computational methods and algorithms" Environment and Planning A 27 615-644
23. Knorr-Held L, Rasser G, 1998, "Bayesian detection of clusters and discontinuities in disease maps", DP 107, Technische Universitat München, München; Universität Regensburg, Regensburg
24. Lam N S, 1983, "Spatial interpolation methods: a review" The American Cartographer 10 129-149
25. Langford M, Maguire D J, Unwin D J, 1991, "The areal interpolation problem: estimating population using remote sensing in a GIS framework", in Handling Geographical Information: Methodology and Potential Applications Eds I Masser, M Blakemore (Longman, Harlow, Essex) pp 55-77
26. Metropolis N, Rosenbluth A W, Rosenbluth M N, Teller A H, Teller E, 1953, "Equations of state calculations by fast computing machines" Journal of Chemical Physics 21 1087-1091
27. Mugglin A S, Carlin B P, 1998, "Hierarchical modeling in geographic information systems: population interpolation over incompatible zones" Journal of Agricultural, Biological, and Environmental Statistics 3 111-130
28. Pickle L W, Mungiole M, Jones G K, White A A, 1996 Atlas of United States Morality (National Center for Health Statistics, Hyattsville, MD)
29. Tobler W R, 1979, "Smooth pycnophylactic interpolation for geographical regions" Journal of the American Statistical Association 74 519-536
30. Waller L A, Turnbull B W, Clark L C, Nasca P, 1994, "Spatial pattern analyses to detect rare disease clusters", in Case Studies in Biometry Eds N Lange, L Ryan, L Billard, D Brillinger, L Conquest, J Greenhouse (John Wiley, New York) pp 3-23