The Use of Bayesian Model Averaging to Better Represent Uncertainty in Ecological Models

Conservation Biology

Volumn 17, Issue 6, 2003, Pages 1579-1590

  Wintle, B A ^a   McCarthy, M A ^a   Volinsky, C T ^b   Kavanagh, R P ^c  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b AT AND T LABS RESEARCH   (United States)

^c Forest R and D Division   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN ANALYSIS; CONSERVATION; ECOLOGICAL MODELING; NUMERICAL MODEL; UNCERTAINTY ANALYSIS;

METATHERIA;

EID: 0346735387     PISSN: 08888892     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1523-1739.2003.00614.x     Document Type: Article

References (61)

1. Agresti, A. 1996. An introduction to categorical data analysis. Wiley, New York.
2. Akaike, H. 1973. Information theory and an extension of the maximum likelihood principle. Pages 267-281 in B. N. Petrov and F. Csaki, editors. Second international symposium on information theory. Reprinted in S. Kotz and N. L. Johnson, editors. 1992. Breakthroughs in statistics. I. Foundations and basic theory. Springer-Verlag, New York
3. Beissinger, S. R., and M. I. Westphal. 1998. On the use of demographic models of population viability in endangered species management. Journal of Wildlife Management 62:821-841.
4. Berger, J. O. 1985. Statistical decision theory and Bayesian analysis. Springer, New York.
5. Braithwaite, L. W. 1983. Studies of the arboreal marsupial fauna of eucalypt forests being harvested for woodpulp at Eden, New South Wales. I. The species and distribution of animals. Australian Wildlife Research 10:219-229.
6. Braithwaite, L. W., D. L. Binns, and R. D. Nowlan. 1988. The distribution of arboreal marsupials in relation to Eucalypt forest types in the Eden New South Wales Australia wood chip concession area. Australian Wildlife Research 15:363-374.
7. Buckland, S. T., and D. A. Elston. 1993. Empirical models for the spatial distribution of wildlife. Journal of Applied Ecology 30:478-495.
8. Buckland, S. T., K. P. Burnham, and N. H. Augustin. 1997. Model selection: an integral part of inference. Biometrics 53:603-618.
9. Burnham, K. P., and D. R. Anderson. 1998. Model selection and inference: a practical information-theoretic approach. Springer, New York.
10. Chatfield, C. 1995. Model uncertainty, data mining and statistical inference. Journal of the Royal Statistical Society Series A 158:419-466.
11. Clyde M.A. 1999 Comment on Bayesian model averaging: a tutorial by Hoeting et al. Statistical Science 14:382-417.
12. Clyde, M. A. 2000. Model uncertainty and health effect studies for particulate matter. Environmetrics 11:745-763.
13. Conroy, M. J., Y. Cohen, F. C. James, Y. G. Matsinos, and B. A. Maurer. 1995. Parameter estimation, reliability, and model improvement for spatially explicit models of animal populations. Ecological Applications 5:17-19.
14. Cork, S. J., and P. C. Catling. 1996. Modelling distributions of arboreal and ground-dwelling mammals in relation to climate, nutrients, plant chemical defences and vegetation structure in the eucalypt forests of southeastern Australia. Forest Ecology & Management 85:163-175.
15. Derksen, S., and H. J. Keselman. 1992. Backward, forward and stepwise automated subset selection algorithms: frequency of obtaining authentic and noise variables. British Journal of Mathematical and Statistical Psychology 45:265-282.
16. Draper, D. 1995. Assessment and propagation of model uncertainty. Journal of the Royal Statistical Society Series B 57:45-97.
17. Elith, J., M. A. Burgman, and H. M. Regan. 2002. Mapping epistemic uncertainties and vague concepts in predictions of species distribution. Ecological Modeling 157:313-329.
18. Ellison, A. M. 1996. An introduction to Bayesian inference for ecological research and environmental decision-making. Ecological Applications 6:1036-1046.
19. Fielding, A. H., and J. F. Bell. 1997. A review of methods for the assessment of prediction errors in conservation presence/absence models. Environmental Conservation 24:38-49.
20. Fleishman, E., R. Macnally, J. P. Fay, and D. D. Murphy. 2001. Modeling and predicting species occurrence using broad-scale environmental variables: an example with butterflies of the Great Basin. Conservation Biology 15:1674-1685.
21. Foley, W J., J. C. Kehl, K. A. Nagy, I. R. Kaplan, and A. C. Borsboom. 1990. Energy and water metabolism in free-living greater gliders Petauroides-Volans. Australian Journal of Zoology 38:1-10.
22. Furnival, G. M., and R. W. Wilson. 1974. Regression by leaps and bounds. Technometrics 16:499.
23. George, E. I., and R. E. McCulloch. 1995. Stochastic search variable selection. Pages 203-214 in W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, editors. Markov chain Monte Carlo in practice. Chapman and Hall, London.
24. Henry, S. R. 1984. Social organisation of the greater glider (Petauroides volans) in Victoria. Pages 221-228 in A. P. Smith and I. D. Hume, editors. Possums and gliders. Australian Mammal Society, Sydney.
25. Hoeting, J. A., D. Madigan, A. E. Raftery, and C. T. Volinsky. 1999. Bayesian model averaging: a tutorial. Statistical Science 14:382-401.
26. Hurvich, C. M., and C. L. Tsai. 1990. The impact of model selection on inference in linear regression. The American Statistician 44:214-217.
27. Hutchinson, M. F., H. A. Nix, D. J. Houlder, and J. P. McMahon. 1999. ANUCLIM: a software package for systematic interrogation of climate surface coefficient files. Version 1.8. Centre for Resource and Environmental Studies, Australian National University, Canberra.
28. Jeffreys, H. 1961. Theory of probability. 3rd edition. Oxford University Press, Oxford, United Kingdom.
29. Kass, R. E., and A. E. Raftery. 1995. Bayes factors. Journal of the American Statistical Association 90:773-795.
30. Kavanagh, R. P. 1997. Ecology and management of large forest owls in south-eastern Australia. Ph.D. dissertation. University of Sydney, Sydney.
31. Kavanagh, R. P. 2000. Effects of variable-intensity logging and the influence of habitat variables on the distribution of the greater glider Petauroides volans in montane forest, southeastern New South Wales. Pacific Conservation Biology 6:18-30.
32. Kavanagh, R. P., and K. L. Bamkin. 1995. Distribution of nocturnal forest birds and mammals in relation to the logging mosaic in south-eastern New South Wales, Australia. Biological Conservation 71:41-53.
33. Kavanagh, R. P., and M. J. Lambert. 1990. Food selection by the greater glider, Petauroides volans: is foliar nitrogen a determinant of habitat quality? Australian Wildlife Research 17:285-299.
34. Keith, D. A., and M. Bedward. 1999. Native vegetation of the South East Forests region, Eden, New South Wales. Cunninghamia 6:1-217.
35. Land Information Centre (LIC). 1997. Digital elevation model. LIC, New South Wales State Government, Sydney.
36. Li, W., Z. Wang, Z. Ma, and H. Tang. 1999. Designing the core zone in a biosphere reserve based on suitable habitats: Yancheng Bioshpere Reserve and the red crowned crane (Grus japonensis). Biological Conservation 90:167-173.
37. Lindenmayer, D. B., R. B. Cunningham, M. T. Tanton, A. P. Smith, and H. A. Nix. 1990a. Habitat requirements of the mountain brushtail possum and the greater glider in the montane ash-type eucalypt forests of the Central Highlands of Victoria Australia. Australian Wildlife Research 17:467-478.
38. Lindenmayer, D. B., R. B. Cunningham, M. T. Tanton, A. P. Smith, and H. A. Nix. 1990b. The conservation of arboreal mammals in the montane ash forests of the Central Highlands of Victoria, south east Australia: I. Factors effecting the occupancy of trees with hollows. Biological Conservation 54:111-131.
39. Loyn, R. H., E. G. McNabb, L. Volodina, and R. Willig. 2001. Modelling landscape distributions of large forest owls as applied to managing forests in north-east Victoria, Australia. Biological Conservation 97:361-376.
40. Magder, L. S., and J. P. Hughes. 1997. Logistic regression when the outcome is measured with uncertainty. American Journal of Epidemiology 146:195-203.
41. MathSoft. 1997. SPLUS 4.5. Data Analysis Products Division, MathSoft, Seattle.
42. McCullagh, P., and J. A. Nelder. 1989. Generalised linear models, 2nd edition. Chapman and Hall, London.
43. McKay, G. M. 1995. Mammals of Australia. 2nd edition. Reed Books, Chatswood, Australia.
44. Miller, M. E., and S. L. Hui. 1991. Validation techniques for logistic regression models. Statistics in Medicine 10:1213-1226.
45. Mladenoff, D. J., and T. A. Sickley. 1998. Assessing potential gray wolf restoration in the northeastern United States: a spatial prediction of favorable habitat and potential population levels. Journal of Wildlife Management 62:1-10.
46. Nicholls, A. O. 1989. How to make biological surveys go further with generalised linear models. Biological Conservation 50:51-75.
47. New South Wales National Parks and Wildlife Service (NSW NPWS). 1998. Eden fauna modelling. New South Wales Regional Forest Agreement Steering Committee, Canberra.
48. Pascual, M. A., P. Kareiva, and R. Hilborn. 1997. The influence of model structure on conclusions about the viability and harvesting of Serengeti wildebeest. Conservation Biology 11:966-976.
49. Pausas, J. G., L. W. Braithwaite, and M. P. Austin. 1995. Modelling habitat quality for arboreal marsupials in the south coastal forests of New South Wales, Australia. Forest Ecology & Management 78:39-49.
50. Pearce, J., and S. Ferrier. 2000. Evaluating the predictive performance of habitat models developed using logistic regression. Ecological Modelling 133:225-245.
51. Pereira, J. M. C., and R. M. Itami. 1991. GIS-based modelling using logistic multiple regression: a case study of the Mt. Graham red squirrel. Photogrammetric Engineering and Remote Sensing 57:1475-1486.
52. Porter, W. P., S. Budaraju, W. E. Stewart, and N. Ramankutty. 2000. Calculating climate effects on birds and mammals: Impacts on biodiversity, conservation, population parameters, and global community structure. American Zoologist 40:597-630.
53. Possingham, H. P., D. B. Lindenmayer, T. W. Norton, and I. Davies. 1994. Metapopulation viability analysis of the greater glider Petauroides volans in a wood production area. Biological Conservation 70:227-236.
54. Queensland Government. 1998. Systematic vertebrate fauna survey project. Stage II: assessment of habitat quality for priority species in the Southeast Queensland Bioregion. Queensland Regional Forest Agreement Steering Committee, Canberra.
55. Raftery, A. E. 1996. Approximate Bayes factors and accounting for model uncertainty in generalised linear models. Biometrika 83:251-266.
56. Raftery, A. E., D. Madigan, and J. A. Hoeting. 1997. Bayesian model averaging for linear regression models. Journal of the American Statistical Association 92:179-191.
57. Reichert, P., and M. Omlin. 1997. On the usefulness of overparameterized ecological models. Ecological Modelling 95:289-299.
58. Schwarz, G. 1978. Estimating the dimension of a model. The Annals of Statistics 6:461-464.
59. Tierney, L., and J. B. Kadane. 1986. Accurate approximations for posterior moments and marginal densities. Journal of the American Statistical Association 81:82-86.
60. Volinsky, C. T., and A. E. Raftery. 2000. Bayesian information criterion for censored survival models. Biometrics 56:256-262.
61. Wade, P. R. 2000. Bayesian methods in conservation biology. Conservation Biology 14:1308-1316.