NDLI: Asymptotic Distribution of Density-Dependent Stage-Grouped Population Dynamics Models

Content Provider	Springer Nature Link
Author	Zetlaoui, Mélanie Picard, Nicolas Bar Hen, Avner
Copyright Year	2008
Abstract	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.
Starting Page	137
Ending Page	155
Page Count	19
File Format	PDF
ISSN	00015342
Journal	Acta Biotheoretica
Volume Number	56
Issue Number	1-2
e-ISSN	15728358
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-03-29
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Asymptotic distribution Density-dependence Matrix model Sampling variability Usher model Evolutionary Biology Philosophy of Biology
Content Type	Text
Resource Type	Article
Subject	Philosophy Applied Mathematics Medicine Biochemistry, Genetics and Molecular Biology Environmental Science Agricultural and Biological Sciences

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Global Production Increased by Spatial Heterogeneity in a Population Dynamics Model

Dynamics of Immunological Models

Effects of Density Dependent Migrations on the Dynamics of a Predator Prey Model

Statistical inference for density-dependent Markovian forestry models

Demographic variability and density-dependent dynamics of a free-ranging rhesus macaque population.

Population Density and Moment-based Approaches to Modeling Domain Calcium-mediated Inactivation of L-type Calcium Channels

Stability, Complexity and Robustness in Population Dynamics

Reduction of Nonautonomous Population Dynamics Models with Two Time Scales

Stabilizing Effect of Cannibalism in a Two Stages Population Model

Asymptotic Distribution of Density-Dependent Stage-Grouped Population Dynamics Models

Similar Documents

Global Production Increased by Spatial Heterogeneity in a Population Dynamics Model

Dynamics of Immunological Models

Effects of Density Dependent Migrations on the Dynamics of a Predator Prey Model

Statistical inference for density-dependent Markovian forestry models

Demographic variability and density-dependent dynamics of a free-ranging rhesus macaque population.

Population Density and Moment-based Approaches to Modeling Domain Calcium-mediated Inactivation of L-type Calcium Channels

Stability, Complexity and Robustness in Population Dynamics

Reduction of Nonautonomous Population Dynamics Models with Two Time Scales

Stabilizing Effect of Cannibalism in a Two Stages Population Model

Asymptotic Distribution of Density-Dependent Stage-Grouped Population Dynamics Models