Modelling species diversity through species level hierarchical modelling

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 54, Issue 1, 2005, Pages 1-20

  Gelfand, Alan E ^a   Schmidt, Alexandra M ^b   Wu, Shanshan ^c   Silander Jr , John A ^c   Latimer, Andrew ^c   Rebelo, Anthony G ^d  

^a DUKE UNIVERSITY   (United States)

^b FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c UNIVERSITY OF CONNECTICUT   (United States)

^d National Botanic Institute   (South Africa)

Author keywords

Adaptive rejection method; Markov random field; Spatial logistic regression; Species range; Species richness

Indexed keywords

EID: 12844260203     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2005.00466.x     Document Type: Article

References (35)

1. Aspinall, R. (1992) An inductive modeling procedure based on Bayes' Theorem for analysis of pattern in spatial data. Int. J. Geogr. Inform. Syst., 6, 105-121.
2. Aspinall, R. and Veitch, N. (1993) Habitat mapping from satellite imagery and wildlife survey using a Bayesian modeling procedure in a GIS. Photgram. Engng Remote Sens., 59, 537-543.
3. Besag, J. (1974) Spatial interaction and the statistical analysis of lattice systems. J. R. Statist. Soc. B, 36, 192-225.
4. Brzeziecki, B., Kienast, F. and Wildi, O. (1993) A simulated map of the potential natural forest vegetation of Switzerland. J. Vegtn Sci., 4, 499-508.
5. Colwell, R. K. and Lees, D. C. (2000) The mid-domain effect: geometric constraints on the geography of species richness. Trends Ecol. Evoln, 15, 70-76.
6. Cressie, N. A. C. (1993) Statistics for Spatial Data, revised edn. New York: Wiley.
7. Currie, D. M. (1991) Energy and large-scale patterns of animal - and plant - species richness. Am, Natur., 137, 27-40.
8. Darwin, C. (1872) On the Origin of Species by Means of Natural Selection or the Preservation of Favoured Races in the Struggle for Life, 6th edn. London: Murray.
9. Ferrier, S., Drielsma, M., Manion, G. and Watson, G. (2002) Extended statistical approaches to modelling spatial pattern in biodiversity in Northeast New South Wales: II, community-level modeling. Biodivers. Conservn, 11, 2309-2338.
10. Gelfand, A. E., Sahu, S. K. and Carlin, B. P. (1996) Efficient parametrizations for generalized linear models. In Bayesian Statistics 5 (eds J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), pp. 227-246. Oxford: Oxford University Press.
11. Gelfand, A. E. and Smith, A. F. M. (1990) Sampling-based approaches to calculating marginal densities. J. Am. Statist. Ass., 85, 398-409.
12. Gilks, W. R., Best, N. G. and Tan, K. K. C. (1995) Adaptive rejection Metropolis sampling within Gibbs sampling. Appl. Statist., 44, 455-472.
13. Guisan, A., Edwards, Jr, T. C. and Hastie, T. (2002) Generalized linear and generalized additive models in studies of species distributions: setting the scene. Ecol. Modling, 157, 89-100.
14. Guisan, A. and Zimmerman, N. E. (2000) Predictive habitat distribution models in ecology. Ecol. Modling, 135, 147-186.
15. Heikkinen, J. and Högmander, H. (1994) Fully Bayesian approach to image restoration with an application in biogeography. Appl. Statist., 43, 569-582.
16. Heikkinen, R. K. (1996) Predicting patterns of vascular plant species richness with composite variables: a meso-scale study in Finnish Lapland. Vegetation, 126, 151-165.
17. Hoeting, J. A., Leecaster, M. and Bowden, D. (2000) An improved model for spatially correlated binary responses. J. Agric. Biol. Environ. Statist., 5, 102-114.
18. Högmander, H. and Moller, J. (1995) Estimating distribution maps from atlas data using methods of statistical image analysis. Biometrics, 51, 393-404.
19. Hubbell, S. P. (2001) The Unified Neutral Theory of Biodiversity and Biogeography. Princeton: Princeton University Press.
20. Huston, M. A. (1994) Biological Diversity: the Coexistence of Species on Changing Landscapes. Cambridge: Cambridge University Press.
21. Latham, R. E. and Ricklefs, R. E. (1993) Global patterns of tree species richness in moist forests: energy-diversity theory does not account for variation in species richness. Oikos, 67, 325-333.
22. Lehmann, A., Overton, J. M. and Leathwick, J. R. (2002) GRASP: generalized regression analysis and spatial prediction. Ecol. Modling, 159, 189-207.
23. Meyers, N., Mittermeier, R. A., Mittermeier, C. G., de Fonesca, G. A. B. and Kent, J. (2000) Biodiversity hotspots for conservation priorities. Nature, 403, 853-858.
24. Owen, J. G. (1989) Patterns of herpetofaunal species richness: relation to temperature, precipitation and variance in elevation. J. Biogeogr., 16, 141-150.
25. Palmer, M. W. (1996) Variation in species richness: towards a unification of hypotheses. Folia Geobot. Phytotax., 29, 511-530.
26. Papaspiliopoulos, O., Roberts, G. O. and Skold, M. (2003) Noncentered parametrisations for hierarchical models and data augmentations. In Bayesian Statistics 7 (eds J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith and M. West), pp. 307-326. Oxford: Oxford University Press.
27. Rebelo, A. G. (1991) Protea Atlas Manual: Instruction Booklet to the Protea Atlas Project. Cape Town: Protea Atlas Project.
28. Rebelo, A. G. (2001) Proteas: a Field Guide to the Proteus of Southern Africa, 2nd edn. Vlaeberg: Fernwood.
29. Rebelo, A. G. (2002a) The state of plants in the Cape Flora. In The State of South Africa's Species (eds G. H. Verdoorn and J. Le Roux), pp. 18-43. Parkview: Endangered Wildlife Trust.
30. Rebelo, A. G. (2002b) Are we really finished atlassing. Protea Atlas Newslett., 51. (Available from http://protea.worldonline.co.za/pan51.htm.)
31. Ritchie, M. E. and Olff, H. (1999) Spatial scaling laws yield a synthetic theory of biodiversity. Nature, 400, 557-560.
32. Rohde, K. (1992) Latitudinal gradients in species diversity: the search for the primary cause. Oikos, 65, 514-527.
33. Rosenzweig, M. L. (1995) Species Diversity in Space and Time. Cambridge: Cambridge University Press.
34. Schultze, R. E. (1997) South African atlas of agrohydrology and climatology. Technical Report TT82/96. Water Research Commission, Pretoria.
35. Takhtajan, A. (1986) Floristic Regions of the World. Berkeley: University of California Press.