The effects of environmental perturbation and measurement error on estimates of the shape parameter in the theta-logistic model of population regulation

Ecological Modelling

Volumn 219, Issue 1-2, 2008, Pages 170-177

  Barker, Daniel ^a   Sibly, Richard M ^b,c  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

^b UNIVERSITY OF READING   (United Kingdom)

^c Centre for Integrated Population Ecology1   (Denmark)

Author keywords

Bias; Density dependence; Environmental stochasticity; Generalised logistic; Observation error; Return rate; Simulation; Theta logistic

Indexed keywords

ENVIRONMENTAL REGULATIONS; ERRORS; MODAL ANALYSIS; PERTURBATION TECHNIQUES; POPULATION STATISTICS; POTENTIAL FLOW; SURVEYS; TIME SERIES ANALYSIS;

BIAS; DENSITY DEPENDENCE; ENVIRONMENTAL STOCHASTICITY; GENERALISED LOGISTIC; OBSERVATION ERROR; RETURN RATE; SIMULATION; THETA-LOGISTIC;

MEASUREMENT ERRORS;

DENSITY DEPENDENCE; ENVIRONMENTAL IMPACT; GROWTH RATE; MEASUREMENT METHOD; PERTURBATION; POPULATION GROWTH; POPULATION MODELING; POPULATION SIZE; STOCHASTICITY; TIME SERIES;

EID: 54249151884     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2008.08.008     Document Type: Article

References (30)

1. Begon M., Townsend C.R., and Harper J.L. Ecology: From Individuals to Ecosystems. 4th ed. (2006), Blackwell Publishing, Malden, MA, USA 752 pp.
2. Brook B.W., and Bradshaw C.J.A. Strength of evidence for density dependence in abundance time series of 1198 species. Ecology 87 (2006) 1445-1451
3. Cattadori I.M., Haydon D.T., Thirgood S.J., and Hudson P.J. Are indirect measures of abundance a useful index of population density? The case of red grouse harvesting. Oikos 100 (2003) 439-446
4. Dennis B., Ponciano J.M., Lele S.R., Taper M.L., and Staples D.F. Estimating density dependence, process noise, and observation error. Ecol. Monogr. 76 (2006) 323-341
5. Doncaster C.P. Non-linear density dependence in time series is not evidence of non-logistic growth. Theor. Popul. Biol. 73 (2008) 483-489
6. Fowler C.H. Density dependence as related to life history strategy. Ecology 62 (1981) 602-610
7. Freckleton R.P., Watkinson A.R., Green R.E., and Sutherland W.J. Census error and the detection of density dependence. J. Anim. Ecol. 75 (2006) 837-851
8. Gilpin M.E., and Ayala F.J. Global models of growth and competition. Proc. Natl. Acad. Sci. U.S.A. 70 (1973) 3590-3593
9. Hone J. On rate of increase (r): patterns of variation in Australian mammals and the implications for wildlife management. J. Appl. Ecol. 36 (1999) 709-718
10. Legović T. Impact of demersal fishery and evidence of the Volterra principle to the extreme in the Adriatic sea. Ecol. Model 212 (2008) 68-73
11. May R.M., Conway G.R., Hassell M.P., and Southwood T.R.E. Time delays, density-dependence and single-species oscillations. J. Anim. Ecol. 43 (1974) 747-770
12. Nelder J.A. The fitting of a generalization of the logistic curve. Biometrics 17 (1961) 89-110
13. NERC Centre for Population Biology, Imperial College, 1999. The Global Population Dynamics Database. Available at: http://www.sw.ic.ac.uk/cpb/cpb/gpdd.html.
14. Newman K.B., Buckland S.T., Lindley S.T., Thomas L., and Fernández C. Hidden process models for animal population dynamics. Ecol. Appl. 16 (2006) 74-86
15. Niwa H.-S. Random-walk dynamics of exploited fish populations. ICES J. Mar. Sci. 64 (2007) 496-502
16. Reynolds J.D., and Freckleton R.P. Population dynamics: growing to extremes. Science 309 (2005) 567-568
17. Richards F.J. A flexible growth function for empirical use. J. Exp. Bot. 10 (1959) 290-300
18. Sæther B.-E., Engen S., Lande R., Arcese P., and Smith J.N.M. Estimating the time to extinction in an island population of song sparrows. Proc. R. Soc. B: Biol. Sci. 267 (2000) 621-626
19. Sæther B.-E., Engen S., Lande R., Both C., and Visser M.E. Density dependence and stochastic variation in a newly established population of a small songbird. Oikos 99 (2002) 331-337
20. Sakanoue S. Extended logistic model for growth of single-species populations. Ecol. Model. 205 (2007) 159-168
21. Shenk T.M., White G.C., and Burnham K.P. Sampling-variance effects on detecting density dependence from temporal trends in natural populations. Ecol. Monogr. 68 (1998) 445-463
22. Sibly R.M., and Hone J. Population growth rate and its determinants: an overview. Philos. Trans. R. Soc. B: Biol. Sci. 357 (2002) 1153-1170
23. In: Sibly R.M., Hone J., and Clutton-Brock T.H. (Eds). Wildlife Population Growth Rates (2003), Cambridge University Press, Cambridge, UK 370 pp.
24. Sibly R.M., Hone J., and Clutton-Brock T.H. Introduction to wildlife population growth rates. In: Sibly R.M., Hone J., and Clutton-Brock T.H. (Eds). Wildlife Population Growth Rates (2003), Cambridge University Press, Cambridge, UK 1-10
25. Sibly R.M., Barker D., Denham M.C., Hone J., and Pagel M. On the regulation of populations of mammals, birds, fish, and insects. Science 309 (2005) 607-610
26. Sibly R.M., Barker D., Hone J., and Pagel M. On the stability of populations of mammals, birds, fish and insects. Ecol. Lett. 10 (2007) 970-976
27. Thornley J.H.M., Shepherd J.J., and France J. An open-ended logistic-based growth function: analytical solutions and the power-law logistic model. Ecol. Model. 204 (2007) 531-534
28. Tsoularis A., and Wallace J. Analysis of logistic growth models. Math. Biosci. 179 (2002) 21-55
29. de Vladar H.P., and Pen I. Determinism, noise, and spurious estimations in a generalised model of population growth. Physica A 373 (2007) 477-485
30. Wang G. On the latent state estimation of nonlinear population dynamics using Bayesian and non-Bayesian state-space models. Ecol. Model. 200 (2007) 521-528