A Bayesian approach to line-transect analysis for estimating abundance

Ecological Modelling

Volumn 220, Issue 13-14, 2009, Pages 1620-1630

  Eguchi, Tomoharu ^a   Gerrodette, Tim ^a  

^a SOUTHWEST FISHERIES SCIENCE CENTER   (United States)

Author keywords

Abundance estimation; Bayesian methods; Density estimation; Half normal detection function; Line transect; Prior distribution

Indexed keywords

ABUNDANCE ESTIMATION; BAYESIAN METHODS; DENSITY ESTIMATION; HALF-NORMAL DETECTION FUNCTION; LINE-TRANSECT; PRIOR DISTRIBUTION;

BIOMETRICS; ESTIMATION; PROBABILITY DENSITY FUNCTION; SIGNAL DETECTION;

BAYESIAN NETWORKS;

ABUNDANCE ESTIMATION; ANIMAL; BAYESIAN ANALYSIS; BIOMETRY; COMPARATIVE STUDY; DETECTION METHOD; PLANT;

ANIMALIA;

EID: 66149186742     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2009.04.011     Document Type: Article

References (39)

1. Berg B.A. Markov Chain Monte Carlo simulations and Their Statistical Analysis (2004), World Scientific, Singapore
2. Borchers D.L., and Burnham K.P. General formulation for distance sampling. In: Buckland S.T., Anderson D.R., Burnham K.P., Laake J.L.D., Borchers L., and Thomas L. (Eds). Advanced Distance Sampling (2004), Oxford University Press, New York, NY 6-30
3. Buckland S.T. Perpendicular distance models for line transect sampling. Biometrics 41 (1985) 177-195
4. Buckland S.T., Anderson D.R., Burnham K.P., Laake J.L., Borchers D.L., and Thomas L. Introduction to Distance Sampling (2001), Oxford University Press, New York, NY
5. Buckland S.T., Anderson D.R., Burnham K.P., Laake J.L., Borchers D.L., and Thomas L. Advanced Distance Sampling (2004), Oxford University Press, New York, NY
6. Burnham, K.P., Anderson, D.R., Laake, J.L., 980. Estimation of density from line transect sampling of biological populations. Wildlife Monograph 72, supplement to Journal of Wildlife Management 44.
7. Carlin B.P., Clark J.S., and Gelfand A.E. Elements of hierarchical Bayesian inference. In: Clark J.S., and Gelfand A.E. (Eds). Hierarchical Modeling for the Environmental Sciences (2006), Oxford University Press, New York, NY 3-24
8. Casella G., and Berger R.L. Statistical Inference. second edition (2002), Duxbury, Pacific Grove, CA
9. Cañadas A., and Hammond P.S. Model-based abundance estimates for bottlenose dolphins off southern Spain: implications for conservation and management. Journal of Cetacean Research 8 (2006) 13-27
10. Cañadas A., and Hammond P.S. Abundance and habitat preferences of the short-beaked common dolphin Delphinus delphis in the southwestern Mediterranean: implications for conservation. Endangered Species Research 4 (2008) 309-331
11. Clark J.S. Models for Ecological Data (2007), Princeton University Press, Princeton, NJ
12. Clark J.S., and Bjørnstad O.N. Population time series: process variability, observation errors, missing values, and hidden states. Ecology 85 (2004) 3140-3150
13. Clark J.S., Ferraz G., Oguge N., Hays H., and DiCostanzo J. Hierarchical Bayes for structured, variable populations: from recapture data to life-history prediction. Ecology 86 (2005) 2232-2244
14. Dennis B. Discussion: should ecologists become Bayesians?. Ecological Applications 6 (1996) 1095-1103
15. Dennis B. Statistics and the scientific method in ecology. In: Taper M.L., and Lele S.R. (Eds). The Nature of Scientific Evidence (2004), The University of Chicago Press, Chicago, IL 327-360
16. Ellison A.M. An introduction to Bayesian inference for ecological research and environmental decision-making. Ecological Applications 6 (1996) 1036-1046
17. Gelman A. Objections to Bayesian statistics. Bayesian Analysis 3 (2008) 445-450
18. Gelman A. Rejoinder. Bayesian Analysis 3 (2008) 467-478
19. Gelman A., Carlin J.B., Stern H.S., and Rubin D.B. Bayesian Data Analysis. second edition (2004), Chapman and Hall/CRC, Boca Raton, FL
20. Gerrodette T., and Forcada J. Non-recovery of two spotted and spinner dolphin populations in the eastern tropical Pacific Ocean. Marine Ecology Progress Series 291 (2005) 1-21
21. Gilbert, D.W., Anderson, D.R., Ringelman, J.K., Szymczak, M.R., 1996. Response of nesting ducks to habitat and management on the Monte Vista National Wildlife Refuge, Colorado. Wildlife Monographs 131.
22. Goodman D. Taking the prior seriously: Bayesian analysis without subjective probability. In: Taper M.L., and Lele S.R. (Eds). The Nature of Scientific Evidence (2004), The University of Chicago Press, Chicago, IL 379-400
23. Hastings W.K. Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57 (1970) 97-109
24. Hogg R.V., and Craig A.T. Introduction to Mathematical Statistics. fifth edition (1995), Prentice-Hall, Inc., Upper Saddle River, NJ
25. Karunamuni R.J., and Quinn II T.J. Bayesian estimation of animal abundance for line transect sampling. Biometrics 51 (1995) 1325-1337
26. Laake, J.L., 1978. Line transect estimators robust to animal movement. MS Thesis. Utah State University, Logan, UT, USA. 55 pp.
27. Lunn D.J., Thomas A., Best N., and Spiegelhalter D. WinBUGS-a Bayesian modelling framework: concepts structure, and extensibility. Statistics and Computing 10 (2000) 325-337
28. Marques F.F.C., and Buckland S.T. Covariate models for the detection function. In: Buckland S.T., Anderson D.R., Burnham K.P., Laake J.L.D., Borchers L., and Thomas L. (Eds). Advanced Distance Sampling (2004), Oxford University Press, New York, NY 31-47
29. Martinez W.L., and Martinez A.R. Computational Statistics Handbook with Matlab (2002), Chapman & Hall/CRC, Boca Raton, FL
30. Metropolis N., Rosenbluth A.W., Rosenbluth M.N., Teller A.H., and Teller E. Equation of state calculations by fast computing machines. The Journal of Chemical Physics 21 (1953) 1087-1092
31. Quang P.X. Confidence intervals for densities in line transect sampling. Biometrics 46 (1990) 459-472
32. Quinn T.J., and Gallucci V.F. Parametric models for line-transect estimators of abundance. Ecology 61 (1980) 293-302
33. Raftery A.E., and Schweder T. Inference about the ratio of two parameters, with application to whale censusing. The American Statistician 47 (1993) 259-264
34. Seber G.A.F. The Estimation of Animal Abundance (1973), Macmillan Publishing Co, Inc., New York, NY
35. Sen A.R., Torigny J., and Smith G.E.J. On the line transect sampling method. Biometrics 30 (1974) 329-340
36. Strindberg S., Buckland S.T., and Thomas L. Design of distance sampling surveys and geographic information systems. In: Buckland S.T., Anderson D.R., Burnham K.P., Laake J.L.D., Borchers L., and Thomas L. (Eds). Advanced Distance Sampling (2004), Oxford University Press, New York, NY 190-228
37. Thomas, L., Laake, J.L., Strindberg, S., Marques, F.F.C., Buckland, S.T., Borchers, D.L., Anderson, D.R., Burnham, K.P., Hedley, S.L., Pollard, J.H., Bishop, J.R.B., 2003. Distance 4.1. Release 2. Research Unit for Wildlife Population Assessment, University of St. Andrews, JK. http://www.ruwpa.st-and.ac.uk/distance/.
38. Thomas L., Burnham K.P., and Buckland S.T. Temporal inferences from distance sampling surveys. In: Buckland S.T., Anderson D.R., Burnham K.P., Laake J.L.D., Borchers L., and Thomas L. (Eds). Advanced Distance Sampling (2004), Oxford University Press, New York, NY 71-107
39. Wade P.R. Bayesian methods in conservation biology. Conservation Biology 14 (2000) 1308-1316