Estimating the size of a closed population from a single mark-recapture regime by using a diffusion probability of marked individuals

Applied Mathematics and Computation

Volumn 182, Issue 1, 2006, Pages 403-411

  Lee, S H ^a   Su, N Y ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

Capture recapture method; Closed population; Diffusion; Subterranean termites

Indexed keywords

COMPUTATIONAL METHODS; DIFFUSION; MATHEMATICAL MODELS; POPULATION STATISTICS; PROBABILITY;

CAPTURE RECAPTURE METHODS; CLOSED POPULATION; POPULATION ESTIMATE MODELS; RECAPTURE PROBABILITY; SUBTERRANEAN TERMITES;

OPERATIONS RESEARCH;

EID: 33750829763     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.04.003     Document Type: Article

References (29)

1. Pollock K.H., Nichols J.D., Brownie C., and Hines J.E. Statistical inference for capture-recapture experiments. Wildl. Monogr. 107 (1990) 97-103
2. Cormack R.M. The statistics of capture-recapture methods. Oceanogr. Mar Biol. Ann. Rev. 6 (1968) 455-506
3. Bailey N.T.J. Improvements in the interpretation of recapture data. J. Anim. Ecol. 21 (1951) 120-127
4. D.G. Chapman, Some properties of the hypergeometric distribution with applications to zoological censuses, vol. 1, University of California Publications in Statistics, 1951, pp. 131-160.
5. Carothers A.D. Quantifying unequal catchability and its effects on survival estimates in an actual population. J. Anim. Ecol. 48 (1979) 863-869
6. Seber G.A.F., and Hsdaf F. The Estimation of Animal Abundance and Related Parameters. second ed. (1982), Grion, London
7. Pledger S., and EIord M. Correction of bias due to heterogeneous capture probability in capture-recapture studies of open populations. Biometrics 54 (1998) 888-898
8. Pollock K.H. Modeling capture, recapture, and removal statistics for estimation of demographic parameters for fish and wildlife populations: past, present, and future. J. Amer. Statist. Assoc. 86 413 (1991) 225-238
9. Ayre G.L. Problems in using the Lincoln index for estimating the size of ant colonies (Hymenoptera: Formicidae). J. New York Entomol. Soc. 70 (1962) 159-166
10. Porter S.D., and Jorgensen C.D. Recapture studies of the harvester ant, Pogonomymex owyheel Cole, using a fluorescent marking technique. Ecol. Entomol. 5 (1980) 263-269
11. Dorazio R.M., and Royle J.A. Mixture models for estimating the size of a closed population when capture rates vary among individuals. Biometrics 59 (2003) 351-364
12. Alho J.M. Logistic regression in capture-recapture models. Biometrics 46 (1990) 623-635
13. Huggins R.M. Some practical aspects of a conditional likelihood approach to capture experiments. Biometrics 47 (1991) 725-732
14. Seber G.A.F. A review of estimating animal abundance. Biometrics 42 (1986) 267-292
15. Seber G.A.F. A review of estimating animal abundance II. Int. Statist. Rev. 60 (1992) 129-166
16. Seber G.A.F. The Estimation of Animal Abundance. second ed. (1982), Macmillan, New York
17. Schwarz C.J., and Seber G.A.F. A review of estimating animal abundance III. Statist. Sci. 14 (1999) 427-456
18. Yip P. An inference procedure for a capture-recapture experiment in discrete time with variable capture probabilities. Stochast. Models 7 (1992) 343-362
19. Yip P. Statistical inference procedure for a hypergeometric model for capture-recapture experiments. Appl. Math. Comput. 58 (1993) 225-240
20. Chao A., Yip P., Lee S.-M., and Chu W. Population size estimation based on estimating functions for closed capture-recapture models. J. Statist. Plann. Inference 92 (2001) 213-232
21. Huggins R.M., and Chao A. Asymptotic properties of an optimal estimating function approach to the analysis of mark recapture data. Comm. Stat. 31 (2002) 575-597
22. Puche H., and Su N.-Y. Estimating population density of the Formosan subterranean termite, Coptotermes formosanus (Isoptera: Rhinotermitidae) using the effective sampling area of in-ground monitoring stations. Bull. Ento. Res. 94 (2004) 47-53
23. Begon M. Investing Animal Abundance: Capture-Recapture for Biologists (1979), University Park Press, Baltimore, MD
24. Su N.-Y., and Scheffrahn R.H. Foraging population and territory of the Formosan subterranean termite (Isoptera: Rhinotermitidae) in an urban environment. Sociobiology 14 (1988) 353-359
25. Allen M.P., and Tildesley D.J. Computer Simulation of Liquids (1987), Clarendon Press, Oxford
26. Caputo M. The Green function of the diffusion of fluids in porous media with memory. Rend. Fis. Acc. Lincei Ser. 9 7 (1996) 243-250
27. Su N.-Y., and Scheffrahn R.H. A method to access, trap, and monitor field populations of the Formosan subterranean termite (Isoptera: Rhinotermitidae) in the urban environment. Sociobiology 12 (1986) 299-304
28. Su N.-Y., Ban P.M., and Scheffrahn R.H. Evaluation of twelve dye markers for population studies of the eastern and Formosan subterranean termites (Isoptera: Rhinotermitidae). Sociobiology 19 (1991) 349-362
29. Su N.-Y., and Scheffrahn R.H. A review of subterranean termite control practices and prospects for integrated pest management programs. Integr. Pest Manage. Rev. 3 (1998) 1-13