Internal cohesion and geometric shape of spatial clusters

Environmental and Ecological Statistics

Volumn 17, Issue 2, 2010, Pages 203-229

  Duarte, Anderson Ribeiro ^a   Duczmal, Luiz ^b   Ferreira, Sabino José ^b   Cançado, André Luiz F ^c  

^a FEDERAL UNIVERSITY OF OURO PRETO   (Brazil)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^c UNIVERSITY OF BRASILIA   (Brazil)

Author keywords

Compactness penalty function; Irregularly shaped clusters; Kulldorff's spatial scan statistics; Multi objective; Power tests; Weak link internal cohesion

Indexed keywords

CLUSTER ANALYSIS; DETECTION METHOD; GENETIC ALGORITHM; GEOGRAPHICAL REGION; GEOMETRY; GEOSTATISTICS; GRAPHICAL METHOD; MONTE CARLO ANALYSIS; SPATIAL ANALYSIS; TOPOLOGY;

EID: 77953477317     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10651-010-0139-7     Document Type: Article

References (39)

1. Abrams AM, Kulldorff M, Kleinman K (2006) Empirical/ asymptotic P-values for Monte Carlo-based hypothesis testing: an application to cluster detection using the scan statistics. Adv Dis Surveill 1: 1.
2. Agarwal D, McGregor A, Venkatasubramanian S, Zhu Z (2006) Spatial scan statistics approximations and performance study. In: Conference on knowledge discovery in data mining.
3. Aldstadt J, Getis A (2006) Using AMOEBA to create a spatial weights matrix and identify spatial clusters. Geogr Anal 38: 327-343.
4. Assunção RM, Costa MA, Tavares A, Ferreira SJ (2006) Fast detection of arbitrarily shaped disease clusters. Stat Med 25: 723-742.
5. Carrano EG, Soares LAE, Takahashi RHC, Saldanha RR (2006) Neto OM electric distribution network multiobjective design using a problem-specific genetic algorithm. IEEE Trans Power Deliv 21(2): 995-1005.
6. Chankong V, Haimes YY (1983) Multiobjective decision making: Theory and methodology. Elsevier-North Holland.
7. Conley J, Gahegan M, Macgill J (2005) A genetic approach to detecting clusters in point data sets. Geogr Anal 37: 286-314.
8. Deb K, Pratap A, Agrawal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 2(6): 182-197.
9. Dematteï C, Molinari N, Daurès JP (2007) Arbitrarily shaped multiple spatial cluster detection for case event data. Comput Stat Data Anal 51: 3931-3945.
10. Duczmal L, Assunção R (2004) A simulated annealing strategy for the detection of arbitrarily shaped spatial clusters. Comput Stat Data Anal 45: 269-286.
11. Duczmal L, Buckeridge DL (2006) A workflow spatial scan statistics. Stat Med 25: 743-754.
12. Duczmal L, Kulldorff M, Huang L (2006) Evaluation of spatial scan statistics for irregularly shaped disease clusters. J Comput Graph Stat 15: 428-442.
13. Duczmal L, Cançado ALF, Takahashi RHC, Bessegato LF (2007) A genetic algorithm for irregularly shaped spatial scan statistics. Comput Stat Data Anal 52: 43-52.
14. Duczmal L, Moreira GJP, Ferreira SJ, Takahashi RHC (2007) Dual graph spatial cluster detection for syndromic surveillance in networks. Adv Dis Surveill 4: 88.
15. Duczmal L, Cançado ALF, Takahashi RHC (2008) Geographic delineation of disease clusters through multi-objective optimization. J Comput Graph Stat 17: 243-262.
16. Duczmal L, Duarte AR, Tavares R (2009) Extensions of the scan statistics for the detection and inference of spatial clusters. In: Glaz J, Pozydnyakov V, Wallestein S (eds) Scan statistics. Birkhäuser, pp 157-182 (to appear).
17. Dwass M (1957) Modified randomization tests for nonparametric hypotheses. Ann Math Stat 28: 181-187.
18. Gaudart J, Poudiougou B, Ranque S, Doumbo O (2005) Oblique decision trees for spatial pattern detection: optimal algorithm and application to malaria risk. BMC Med Res Methodol 5: 22.
19. Iyengar VS (2004) Space-time clusters with flexible shapes. IBM Research Report RC23398(W0408-068).
20. Jacquez GM, Kaufmann A, Goovaerts P (2007) Boundaries, links and clusters: a new paradigm in spatial analysis? Environ Ecol Stat (Published online).
21. Kulldorff M, Nagarwalla N (1995) Spatial disease clusters: detection and inference. Stat Med 14: 799-810.
22. Kulldorff M (1997) A spatial scan statistics. Commun Stat Theory Methods 26(6): 1481-1496.
23. Kulldorff M (1999) Spatial scan statistics: models, calculations, and applications. In: Balakrishnan N, Glaz J (eds) Scan statistics and applications. Birkhäuser, Boston, pp 303-322.
24. Kulldorff M, Tango T, Park PJ (2003) Power comparisons for disease clustering tests. Comput Stat Data Anal 42: 665-684.
25. Kulldorff M, Huang L, Pickle L, Duczmal L (2006) An elliptic spatial scan statistics. Stat Med 25: 3929-3943.
26. Lawson A, Biggeri A, BVohning D, Lesare E, Viel JF, Bertollini R (1999) Disease mapping and risk assessment for public health. Wiley, London.
27. Lawson A (2001) Statistical methods in spatial epidemiology. In: Lawson A (eds) Large scale: surveillance. Wiley, New York, pp 197-206.
28. Modarres R, Patil GP (2007) Hotspot detection with bivariate data. J Stat Plan Inference 137: 3643-3654.
29. Moura FR, Duczmal L, Tavares R, Takahashi RHC (2007) Exploring multi-cluster structures with the multi-objective circular scan. Adv Dis Surveill 2: 48.
30. Neill DB, Moore AW, Pereira F, Mitchell T (2005) Detecting significant multidimensional spatial clusters. Adv Neural Inf Process Syst 17: 969-976.
31. Neill DB, Moore AW, Cooper GE (2007) A multivariate Bayesian scan statistics. Adv Dis Surveill 2: 60.
32. Patil GP, Taillie C (2004) Upper level set scan statistics for detecting arbitrarily shaped hotspots. Environ Ecol Stat 11: 183-197.
33. Patil GP, Modarres R, Myers WL, Patankar P (2006) Spatially constrained clustering and upper level set scan hotspot detection in surveillance geoinformatics. Environ Ecol Stat 13: 365-377.
34. Sahajpal R, Ramaraju GV, Bhatt V (2004) Applying niching genetic algorithms for multiple cluster discovery in spatial analysis. In: International conference on intelligent sensing and information processing.
35. Takahashi RHC, Vasconcelos JA, Ramirez JA, Krahenbuhl L (2003) A multiobjective methodology for evaluating genetic operators. IEEE Trans Magnetics 39(3): 1321-1324.
36. Tango T, Takahashi K (2005) A flexibly shaped spatial scan statistics for detecting clusters. Int J Health Geogr 4: 11.
37. Yiannakoulias N, Rosychuk RJ, Hodgson J (2007) Adaptations for finding irregularly shaped disease clusters. Int J Health Geogr 6(1): 28.
38. Yiannakoulias N, Karosas A, Schopflocher DP, Svenson LW, Hodgson MJ (2007) Using quad trees to generate grid points for application in geographic disease surveillance. Adv Dis Surveill 3.
39. Wieland SC, Brownstein JS, Berger B, Mandl KD (2007) Density-equalizing Euclidean minimum spanning trees for the detection of all disease cluster shapes. PNAS 104(22): 904-909.