David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 56 (1-2):137-155 (2008)
Matrix models are widely used in biology to predict the temporal evolution of stage-structured populations. One issue related to matrix models that is often disregarded is the sampling variability. As the sample used to estimate the vital rates of the models are of finite size, a sampling error is attached to parameter estimation, which has in turn repercussions on all the predictions of the model. In this study, we address the question of building confidence bounds around the predictions of matrix models due to sampling variability. We focus on a density-dependent Usher model, the maximum likelihood estimator of parameters, and the predicted stationary stage vector. The asymptotic distribution of the stationary stage vector is specified, assuming that the parameters of the model remain in a set of the parameter space where the model admits one unique equilibrium point. Tests for density-dependence are also incidentally provided. The model is applied to a tropical rain forest in French Guiana
|Keywords||Philosophy Evolutionary Biology Philosophy of Biology|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Ángeles Rincón, Juan Antonio Alonso & Luis Sanz (2009). Reduction of Supercritical Multiregional Stochastic Models with Fast Migration. Acta Biotheoretica 57 (4):479-500.
J. Reddingius, S. A. Vries & A. J. Stam (1982). On a Stochastic Version of a Modified Nicholson-Baily Model. Acta Biotheoretica 31 (2).
Christian Haak (2002). The History of Models. Does It Matter? Mind and Society 3 (1):33-41.
Ovide Arino (1995). A Survey of Structured Cell Population Dynamics. Acta Biotheoretica 43 (1-2):3-25.
John S. Fenlon, Malcolm J. Faddy, Menia Toussidou & Michael E. Courcy Williamdes (forthcoming). Egg Distributions of Insect Parasitoids: Modelling and Analysis of Temporal Data with Host Density Dependence. Acta Biotheoretica.
Rachid Mchich, Amal Bergam & Nadia Raïssi (2005). Effects of Density Dependent Migrations on the Dynamics of a Predator Prey Model. Acta Biotheoretica 53 (4):331-340.
Valère Calaud & Yvan Lagadeuc (2005). Structural Stability of a Stage Structured Model of Fish: The Case of the Anchovy (Engraulis Encrasicolus L.) in the Bay of Biscay. Acta Biotheoretica 53 (4):341-358.
Jorge Paulo Cancela & Kimon Hadjibiros (1977). Le Modele Matriciel Deterministe de Leslie Et Ses Applications En Dynamique Des Populations. Acta Biotheoretica 26 (4).
Added to index2009-01-28
Total downloads10 ( #314,630 of 1,790,235 )
Recent downloads (6 months)2 ( #320,602 of 1,790,235 )
How can I increase my downloads?