Statistical analysis of population dynamics in space and time using estimating functions

Ecology

Volumn 79, Issue 5, 1998, Pages 1489-1502

  Lele, Subhash ^a   Taper, Mark L ^b   Gage, Stuart ^c  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b MONTANA STATE UNIVERSITY   (United States)

^c MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Density dependence; Dispersal; Estimating functions; Gypsy moth; Logistic growth; Lymantria dispar L.; Spatially explicit models

Indexed keywords

MODELING; POPULATION DYNAMICS; SPATIOTEMPORAL ANALYSIS; STATISTICAL ANALYSIS;

EID: 0031875758     PISSN: 00129658     EISSN: None     Source Type: Journal    
DOI: 10.1890/0012-9658(1998)079[1489:SAOPDI]2.0.CO;2     Document Type: Article

References (57)

1. Andrew artha, H. G., and L. C Birch. 1954. The distribution and abundance of animals. University of Chicago Press. Chicago, IIIinois, USA.
2. Bulmer, M. G. 1975. The statistical analysis of density dependence. Biometrics 31:901-911.
3. Campbell, R. W. 1973. Numerical behavior of a gypsy moth population system. Forest Science 19:162-167.
4. _ 1976. Comparative analysis of numerically stable and violently fluctuating gypsy moth populations. Environmental Entomology 5:1218-1224.
5. Carlin, B. P., and T. A. Louis. 1996. Bayes and empirical Bayes methods for data analysis Chapman and Hall. London, UK.
6. Chepko-Sade, B. D., and Z. T. Halpin, editors. 1987. Mammalian dispersal patterns. University of Chicago Press. Chicago. USA.
7. Cigliano, M. M., W. P. Kcmp, and T. M. Kalaris. 1995. Spatiotemporal characteristics of rangeland grasshopper (Orthoptera: Acrididae) regional outbreaks in Montana. Journal of Orthoptcra Research 4:1 11-126.
8. Clayton. D. G., and J. M. Kaldor. 1987 Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics 43:671-681.
9. Cressic, N. A. C. 1991. Statistics for spatial data. John Wiley and Sons. New York, New York. USA.
10. Crowder, M. 1986. On consistency and inconsistency of estimating equations. Econometric Theory 2:305-330.
11. Dennis, B. 1989. Allee effects: population growth, critical density, and the chance of extinction. Natural Resource Modeling 3:481-538.
12. Dennis. B., W. P. Kemp, and M. L. Taper. 1998. Joint density dependence. Ecology 79(2):426-441.
13. Dennis, B., and M. L. Taper. 1994. Density dependence in time series observations of natural populations: estimation and testing. Ecological Monographs 64:205-224.
14. Diggle, P. J. 1991. Time series. Oxford University Press, Oxford. UK.
15. Efron, B., and R J. Tibshirani. 1991. An introduction to the bootstrap. Chapman and Hall, New York, New York, USA.
16. Fisher, R. A. 1937. The wave of advance of advantageous genes. Annals of Eugenics 7.355-369.
17. Gage, S. H., Wirth. T. and G. Simmons. 1990. Predicting regional gypsy moth (Lymantriidac) population trends in an expanding population using phcromone trap catch and spatial analysis. Environmental Entomology 19(2):370-377.
18. Godambe, V. P. 1985. The foundations of finite sample estimation in stochastic processes. Biometrika 72:419-428.
19. _ editor. 1991. Fstimating functions. Oxford University Press, Oxford, UK.
20. Goldsuorths. G. J . and C. H. Wheler, editors. 1989. Insect flight CRC Press, Boca Raton, Monda. USA.
21. Goldwasser. I., J. Cook. and E. D. SiKennan. 1994. The effects of variability on metapopulation dynamics and rates of invasion. Ecology 75:40 47.
22. Gompert, B. 1825. On the nature of the functioon expressive of the law of human mortality, and a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society of London 115:513-585.
23. Hamilton, W. D., and R. M. May. 1977. Dispersal in stable habitats. Nature 269:578-581.
24. Harper, J. L. 1977. Population biology of plains. Academic Press, New York, New York, USA.
25. Holmes, E H., and M. A. Lewis. 1994. Partial differential equations in ecology: spatial interactions and population dynamics. Ecology 75:17-29.
26. Hoolen, M. 1995. Distinguishing forms of statistical density dependence and independence in animal lime series data using information criteria. Dissertation. Montana Slate University, Bozcman, Montana, USA.
27. Kareiva, P. 1994. Space: the final frontier for ecological theory. Ecology 75:1.
28. Kelker, D. 1970. Distribution theory of spherical distributions and a location-scale parameter generalization Sankhya A 32:419-430.
29. Kemp, W. P., and B. Dennis. 1993. Density dependence in rangeland grasshoppers Orthoptera: Acrididae). Occologia 96:1-8.
30. Kettle, D. S. 1951. Spatial distribution of Culoides Impunitaius Goet under woodland and moorland conditions and its flight range through woodland. Bulletin of Entomological Research 42:239-291.
31. Kot. M., and W. M. Schaffer. 1986. Discrete-time growthdispersal models. Mathematical Biosciences 80:109-136.
32. Lele, S. 1991. Jackknifing linear estimating equations: asymptotic theory and applications in stochastic processes. Journal of the Royal Statistical Society Series B 53:253267.
33. Liang K. Y., and S. L. Zeger. 1986. Longitudinal data analysis using gencralized linear models. Biometrika 73:1322.
34. Liehhold, A. M., and H. R. Barren, editors 1993. Proceedings: spatial analysis and forest pest management. ARS. U.S. Forest Service Technical Report NE-175.
35. Licbhold, A. M., and J S. Elkinton. 1989. Characterizing spatial patterns of gypsy moth regional defoliation. Forest Science 35:557-568.
36. Liebhold, A. M., J. A. Halverson, and G. A. Hirnes. 1992 Gypsy moth invasion in North America: a quantitative analysis. Journal of Biogeography 19:513-520.
37. Liebhold, A., E. Luzader, J. Halverson, and G. Flmes. 1993 The spatial dynamics of invasions by exotic pests. Pages 125-132 in A. M. Liebhold and H. R. Barren, editors. Proceedings: spatial analysis and forest pest management. ARS, U.S. Forest Service Technical Report NE-175.
38. Lindsay, B. G. 1988. Composite likelihood methods. Contemporary Mathematics. 80:221-236.
39. Mason, C. J., and M. L. McManus. 1981. Larval dispersal of the gypsy moth. The gypsy moth: research toward integrated pest management. Pages 161-202 in C. C. Doane and M. L. McManus, editors. U.S. Forest Service Technical Bulletin 1584.
40. McCullogh P. and J. A. Neider. 1989. Gcneralized linear models. Chapman and Hall, London, UK.
41. Molofsky, J. 1994. Population dynamics and pattern formation in theoretical populations. Ecology 75:30-39.
42. Neyman, J., and E. L. Scott 1948. Consistent estimates based on partially consistent observations. Economctrica 16:1-32.
43. O'Dell, W. V. 1955. The gypsy moth outbreak in Michigan Journal of Economic Entomology. 48:170-172.
44. Okubo, A. 1980. Diffusion and ecological problems: mathematical models. Biomathematics 10. Springer-Verlag. Berlin, Germany.
45. Okubo, A., P. K. Minani, M. H. Williamson, and J. D. Murray. 1989. On the spatial spread of grey squirrel in Britain. Proceedings of the Royal Society of London, B 238:113125.
46. Press, W H., S. A. Teukolsky, W. T. Vettcrling, and B. P. Flannery. 1986. Numerical recipes in C: the art of scientific computing. Second edition. Cambridge University Press, New York, New York, USA.
47. Pulliam, R. H. 1988. Sources, sinks and population regulation. American Naturalist 132(5):652-661.
48. Ricker, W. E. 1954. Stock and recruitment. Journal of Fisheries Research Board of Canada 11:559-623.
49. Royama, T. 1977. Population persistence and density dependence. Ecological Monographs 47:1-35.
50. Simmons, G. A. 1987. History of the gypsy moth in Michigan. Pages 8-9 in B. A. Montgomery, editor. Gypsy moth in Michigan: the first annual report of the gypsy moth technical committee. Michigan Cooperative Forest Management Annual Report 87-2, East Lansing. Michigan. USA.
51. Skellam, J. G. 1951. Random dispersal in theoretical populations. Biomctrika 38:196-218.
52. Talcrico, R. L 1981. Methods for gypsy moth detection and evaluation. Pages 31-63 in C. C. Doane and M. L. McManus. editors. The gypsy moth: research toward integrated pest management. U.S. Forest Service Technical Bulletin 1584.
53. Tilman, D. 1994. Competition and biodiversity in spatially structured habitats. Ecology 75:2-16.
54. Witter, J. A., J. L. Stoyenoff, and F. Sapio. 1992. Impacts of the gypsy moth in Michigan. Michigan Academician XXV: 67-90.
55. Yasui, Y., and S. Lele. 1997. A regression method for spatial disease rates: an estimating function approach. Journal of American Statistical Association 92(437):21-32.
56. Zcng, Z., R. M. Nowierski, M. I., Taper, B. Dennis, and W. P. Kcmp. 1998. Complex population dynamics in the real world: modeling the influence of time-varying parameters and time lags. Ecology, in press.
57. Zhou, G., and A. M. Licbhold. 1995. Forecasting the spatial dynamics of gypsy moth outbreaks using cellular transition models. Landscape Ecology 10:177-189.