Mining boundary effects in areally referenced spatial data using the Bayesian information criterion

GeoInformatica

Volumn 15, Issue 3, 2011, Pages 435-454

  Li, Pei ^a   Banerjee, Sudipto ^a   McBean, Alexander M ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Areal data; Bayesian information criteria; Boundaries; Conditionally autoregressive models; Simultaneous autoregressive models; Wombling

Indexed keywords

AREAL DATA; BAYESIAN INFORMATION CRITERION; BOUNDARIES; CONDITIONALLY AUTOREGRESSIVE MODELS; SIMULTANEOUS AUTOREGRESSIVE MODEL; WOMBLING;

EDGE DETECTION; HIERARCHICAL SYSTEMS; MARKOV PROCESSES; PULMONARY DISEASES;

MONTE CARLO METHODS;

ANALYTICAL HIERARCHY PROCESS; BAYESIAN ANALYSIS; BOUNDARY CONDITION; DATA MINING; DETECTION METHOD; GIS; MAPPING; MARKOV CHAIN; MONTE CARLO ANALYSIS; NUMERICAL MODEL; SMOOTHING; SPATIAL DATA;

EID: 79956310116     PISSN: 13846175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10707-010-0109-0     Document Type: Article

References (36)

1. Anselin L (1988) Spatial econometrics: methods and models. Kluwer, Boston.
2. Anselin L (1990) Spatial dependence and spatial structural instability in applied regression analysis. J Reg Sci 30: 185-207.
3. Assuncao R, Krainski E (2009) Neighborhood dependence in Bayesian spatial models. Biom J 51: 851-869.
4. Banerjee S, Carlin BP, Gelfand AE (2004) Hierarchical modeling and analysis for spatial data. Chapman and Hall/CRC Press, Boca Raton.
5. Banerjee S, Gelfand AE (2006) Bayesian wombling: curvilinear gradient assessment under spatial process models. J Am Stat Assoc 101: 1487-1501.
6. Barbujani G, Sokal RR (1990) Zones of sharp genetic change in Europe are also linguistic boundaries. Proc Natl Acad Sci USA 87: 1816-1819.
7. Barry R, Pace RK (1999) A Monte Carlo estimator of the log determinant of large sparse matrices. Linear Algebra Appl 289: 41-54.
8. Berger JO (1985) Statistical decision theory and Bayesian analysis. Springer-Verlag, Berlin. ISBN 0-387-96098-8.
9. Besag J (1974) Spatial interaction and the statistical analysis of lattice systems. J R Stat Soc, B 36(2): 192-236.
10. Bocquet-Appel JP, Bacro JN (1994) Generalized wombling. Syst Biol 43: 442-448.
11. Carlin BP, Louis TA (2000) Bayes and empirical bayes methods for data analysis, 2nd edn. Chapman and Hall/CRC Press, Boca Raton.
12. Cleveland WS, Devlin SJ (1988) Locally-weighted regression: an approach to regression analysis by local fitting. J Am Stat Assoc 83: 596-610.
13. Cressie NAC (1993) Statistics for spatial data, 2nd edn. Wiley, New York.
14. Cromley EK, McLafferty SL (2002) GIS and public health. Guilford Publications, New York.
15. Ferguson TS (1973) A Bayesian analysis of some nonparametric problems. Ann Stat 1: 209-230.
16. Fortin MJ (1994) Edge detection algorithms for two-dimensional ecological data. Ecology 75: 956-965.
17. Fortin MJ, Drapeau P (1995) Delineation of ecological boundaries: comparisons of approaches and significance tests. Oikos 72: 323-332.
18. Fortin MJ (1997) Effects of data types on vegetation boundary delineation. Can J For Res 27: 1851-1858.
19. Gelman A, Carlin JB, Stern HS, Rubin DB (2004) Bayesian data analysis, 2nd edn. Chapman and Hall/CRC Press, Boca Raton.
20. Hoeting JA, Madigan D, Raftery AE, Volinsky C (1999) Bayesian model averaging: a tutorial. Stat Sci 14: 382-417.
21. Jacquez GM, Greiling DA (2003). Local clustering in breast, lung and colorectal cancer in Long Island, New York. Int J Health Geogr 2: 3.
22. Jacquez GM, Greiling DA (2003). Geographic boundaries in breast, lung and colorectal cancers in relation to exposure to air toxics in long Island, New York. Int J Health Geogr 2: 4.
23. LeSage JP (1997) Analysis of spatial contiguity influences on state price level formation. Int J Forecast 13: 245-253.
24. LeSage JP, Pace K (2009) Introduction to spatial econometrics. Chapman and Hall/CRC, Boca Raton, FL.
25. LeSage JP, Parent O (2007) Bayesian model averaging for spatial econometric models. Geogr Anal 39: 241-267.
26. Lu H, Carlin BP (2005) Bayesian areal wombling for geographical boundary analysis. Geogr Anal 37: 265-285.
27. Lu H, Reilly C, Banerjee S, Carlin BP (2007) Bayesian areal wombling via adjacency modeling. Environ Ecol Stat 14: 433-452.
28. Ma H, Carlin BP, Banerjee S (2010) Hierarchical and joint site-edge methods for Medicare hospice service region boundary analysis. Biometrics 66(2): 355-364.
29. Pace RK, Barry R (1997) Sparse spatial autoregressions. Stat Probab Lett 33: 291-297.
30. Raftery AE (1995) Bayesian model selection in social research (with discussion). In: Marsden PV (ed) Sociological methodology 1995. Blackwell, Cambridge, MA, pp 111-195.
31. Raftery AE, Madigan D, Hoeting J (1997) Bayesian model averaging for linear regression models. J Am Stat Assoc 92: 179-191.
32. Robert C (2001) The Bayesian choice, 2nd ed. Springer, New York.
33. Wall MM (2004) A close look at the spatial correlation structure implied by the CAR and SAR models. J Stat Plan Inference 121(2): 311-324.
34. Waller, Gotway (2004) Applied spatial statistics for public health data. Wiley, New York.
35. Wheeler D, Waller L (2008) Mountains, valleys, and rivers: the transmission of raccoon rabies over a heterogeneous landscape. J Agric Biol Environ Stat 13: 388-406.
36. Womble WH (1951) Differential systematics. Science 114: 315-322.