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Asymptotic distribution of density-dependent stage-grouped population dynamics models
- Source :
- Acta Biotheoretica, Acta Biotheoretica, Springer Verlag, 2008, 56 (1-2), pp.137-155
- Publication Year :
- 2008
- Publisher :
- HAL CCSD, 2008.
-
Abstract
- International audience; 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.
- Subjects :
- 0106 biological sciences
Population Dynamics
forêt tropicale
sampling variability
Parameter space
01 natural sciences
Matrix (mathematics)
[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]
Statistics
Dynamique des populations
[MATH.MATH-ST] Mathematics [math]/Statistics [math.ST]
General Environmental Science
Mathematics
[SDV.EE]Life Sciences [q-bio]/Ecology, environment
0303 health sciences
education.field_of_study
U10 - Informatique, mathématiques et statistiques
Estimation theory
[STAT.TH] Statistics [stat]/Statistics Theory [stat.TH]
Applied Mathematics
Sampling (statistics)
General Medicine
[ STAT.TH ] Statistics [stat]/Statistics Theory [stat.TH]
[SDV.EE] Life Sciences [q-bio]/Ecology, environment
General Agricultural and Biological Sciences
Modèle mathématique
Population
Asymptotic distribution
Sample (statistics)
010603 evolutionary biology
Models, Biological
General Biochemistry, Genetics and Molecular Biology
[ SDV.EE ] Life Sciences [q-bio]/Ecology, environment
03 medical and health sciences
Densitométrie
Applied mathematics
[ MATH.MATH-ST ] Mathematics [math]/Statistics [math.ST]
asymptotic distribution
Arbre forestier
education
030304 developmental biology
Equilibrium point
matrix model
Modèle de simulation
[STAT.TH]Statistics [stat]/Statistics Theory [stat.TH]
Usher model
density-dependence
K10 - Production forestière
Philosophy
peuplement forestier
Subjects
Details
- Language :
- English
- ISSN :
- 00015342 and 15728358
- Database :
- OpenAIRE
- Journal :
- Acta Biotheoretica, Acta Biotheoretica, Springer Verlag, 2008, 56 (1-2), pp.137-155
- Accession number :
- edsair.doi.dedup.....86de1e786ec04f78bb7b466cbb915516