Correct testing of mark independence for marked point patterns

Ecological Modelling

Volumn 222, Issue 23-24, 2011, Pages 3888-3894

  Grabarnik, Pavel ^a   Myllymäki, Mari ^b   Stoyan, Dietrich ^c  

^a INSTITUTE OF PHYSICOCHEMICAL AND BIOLOGICAL PROBLEMS IN SOIL SCIENCE   (Russian Federation)

^b AALTO UNIVERSITY   (Finland)

^c TU BERGAKADEMIE FREIBERG   (Germany)

Author keywords

Bivariate point pattern; Deviation test; Forest ecology; Mark correlation; Simulation envelope

Indexed keywords

DEVIATION TEST; ECOLOGICAL PROCESS; ECOLOGICAL SYSTEMS; FOREST ECOLOGY; MARKED POINT PATTERN; MARKED POINT PROCESS; POINT PATTERNS; SIMULATION ENVELOPES; SPATIAL CORRELATIONS; SPATIAL PATTERN ANALYSIS; STATISTICAL INFERENCE; TESTING HYPOTHESIS; TYPE-I ERROR;

ECOLOGY; FORESTRY; PROBABILITY;

TESTING;

CORRELATION; ECOLOGICAL APPROACH; ERROR ANALYSIS; FOREST ECOSYSTEM; MARK-RECAPTURE METHOD; SPATIAL ANALYSIS; STATISTICAL ANALYSIS;

CORRELATION; ECOLOGY; FORESTS; PATTERNS; PROBABILITY; SIMULATION; STATISTICAL ANALYSIS;

EID: 80755159406     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2011.10.005     Document Type: Article

References (26)

1. Barnard G.A. Discussion of paper by M.S. Bartlett. J. R. Stat. Soc. 1963, B25:294.
2. Besag J.E. Comment on 'Modelling spatial patterns' by B.D. Ripley. J. R. Stat. Soc. B 1977, 39:193-195.
3. Besag J., Diggle P.J. Simple Monte Carlo tests for spatial pattern. Appl. Stat. 1977, 26:327-333.
4. Dale M.R.T., Dixon P., Fortin M.-J., Legendre P., Myers D.E., Rosenberg M.S. Conceptual and mathematical relationships among methods for spatial analysis. Ecography 2002, 25:558-577.
5. Diggle P.J. On parameter estimation and goodness-of-fit testing for spatial point patterns. Biometrics 1979, 35:87-101.
6. Diggle P.J. Statistical Analysis of Spatial Point Patterns 2003, Arnold, London. 2nd ed.
7. Goreaud F., Pélissier R. On explicit formulas of edge effect correction for Ripley's K-function. J. Veg. Science 1999, 10:433-438.
8. 12-function: Population independence vs. random labelling hypotheses. J. Veg. Science 2003, 14:681-692.
9. Gray L., He F. Spatial point-pattern analysis for detecting density-dependent competition in a boreal chronosequence of Alberta. Forest Ecol. Manage. 2009, 259:98-106.
10. Ho L.P., Chiu S.N. Testing the complete spatial randomness by Diggle's test without an arbitrary upper limit. J. Stat. Comp. Simul. 2006, 76:585-591.
11. Illian J., Penttinen A., Stoyan H., Stoyan D. Statistical Analysis and Modelling of Spatial Point Patterns 2008, Wiley, Chichester.
12. Kenkel N.C. Pattern of self-thinning in jack pine: testing the random mortality hypothesis. Ecology 1988, 69:1017-1024.
13. Law R., Illian J., Burslem D.F.R.P., Gratzer G., Gunatilleke C.V.S., Gunatilleke I.A.U.N. Ecological information from spatial patterns of plants: insights from point process theory. J. Ecol. 2009, 97:616-628.
14. van Lieshout M.N.M., Baddeley A.J. Indices of dependence between types in multivariate point patterns. Scand. J. Stat. 1999, 26:511-532.
15. Loosmoore N.B., Ford E.D. Statistical inference using the G or K point pattern spatial statistics. Ecology 2006, 87:1925-1931.
16. Lotwick H.W., Silverman B.W. Methods for analysing spatial processes of several types of points. J. R. Stat. Soc. B 1982, 44:406-413.
17. Perry G.L.W., Miller B.P., Enright N.J. A comparison of methods for the statistical analysis of spatial point patterns in plant ecology. Plant Ecol. 2006, 187:59-82.
18. Ripley B.D. Modelling of spatial patterns. J. R. Stat. Soc. B 1977, 39:172-192.
19. Ripley B.D. Statistical Inference for Spatial Processes 1988, Cambridge University Press, Cambridge.
20. Wang X., Wiegand T., Hao Z., Li B., Ye J., Lin F. Species associations in an old-growth temperate forest in north-eastern China. J.Ecol. 2010, 98:674-686.
21. Westfall P.H., Young S.S. Resampling-Based Multiple Testing: Examples and Methods for P-Value Adjustment 1993, John Wiley & Sons, New York.
22. Wiegand T., Moloney K.A. Rings, circles and nullmodels for point pattern analysis in ecology. Oikos 2004, 104:209-229.
23. Wiegand T., Kissling W.D., Cipriotti P.A., Aguiar M.R. Extending point pattern analysis for objects of finite size and irregular shape. J. Ecol. 2006, 94:825-837.
24. Wiegand T., Gunatilleke S., Gunatilleke N. Species associations in a heterogeneous Sri Lankan dipterocarp forest. Am. Nat. 2007, 170:E77-E95.
25. Zhang C., Zhao X., Gao L., von Gadow K. Gender-related distributions of Fraxinus mandshurica in secondary and old-growth forests. Acta Oecologica 2010, 36:55-62.
26. Zhu Y., Mi X., Ren H., Ma K. Density dependence is prevalent in a heterogeneous subtropical forest. Oikos 2010, 119:109-119.