Primitivity of the product of two leslie matrices

1980 ◽  
Vol 42 (2) ◽  
pp. 181-189 ◽  
Author(s):  
E KELLER
Keyword(s):  
Leslie Matrices

Stability and return times of Leslie matrices with density-dependent survival: applications to fish populations

1980 ◽  
Vol 8 ◽  
pp. 149-163 ◽  
Author(s):  
D.L. Deangelis ◽  
L.J. Svoboda ◽  
S.W. Christensen ◽  
D.S. Vaughan
Keyword(s):  
Fish Populations ◽  
Density Dependent ◽  
Return Times ◽  
Leslie Matrices

scholarly journals strandCet: R package for estimating natural and non-natural mortality-at-age of cetaceans from age-structured strandings

PeerJ ◽  
2018 ◽  
Vol 6 ◽  
pp. e5768 ◽  
Author(s):  
Camilo Saavedra
Keyword(s):  
Total Mortality ◽  
R Package ◽  
Analytical Framework ◽  
Population Projections ◽  
Sources Of Information ◽  
Mortality Models ◽  
Credible Intervals ◽  
Leslie Matrices ◽  
Age Structured ◽  
Derived Data

Mortality is one of the most important parameters for the study of population dynamics. One of the main sources of information to calculate the mortality of cetaceans arises from the observed age-structure of stranded animals. A method based on an adaptation of a Heligman-Pollard model is proposed. A freely accessible package of functions (strandCet) has been created to apply this method in the statistical software R. Total, natural, and anthropogenic mortality-at-age is estimated using only data of stranded cetaceans whose age is known. Bayesian melding estimation with Incremental Mixture Importance Sampling is used for fitting this model. This characteristic, which accounts for uncertainty, further eases the estimation of credible intervals. The package also includes functions to perform life tables, Siler mortality models to calculate total mortality-at-age and Leslie matrices to derive population projections. Estimated mortalities can be tested under different scenarios. Population parameters as population growth, net production or generation time can be derived from population projections. The strandCet R package provides a new analytical framework to assess mortality in cetacean populations and to explore the consequences of management decisions using only stranding-derived data.

Leslie Matrices

2011 ◽  
pp. 119-132
Author(s):  
Dagmar Söndgerath
Keyword(s):  
Leslie Matrices

Ergodicity of age structure in populations with Markovian vital rates. II. General states

1977 ◽  
Vol 9 (01) ◽  
pp. 18-37 ◽  
Author(s):  
Joel E. Cohen
Keyword(s):  
Markov Chain ◽  
Age Structure ◽  
Joint Distribution ◽  
Sample Path ◽  
Initial Distribution ◽  
Transition Function ◽  
Leslie Matrix ◽  
Vital Rates ◽  
Closed Population ◽  
Leslie Matrices

The age structure of a large, unisexual, closed population is described here by a vector of the proportions in each age class. Non-negative matrices of age-specific birth and death rates, called Leslie matrices, map the age structure at one point in discrete time into the age structure at the next. If the sequence of Leslie matrices applied to a population is a sample path of an ergodic Markov chain, then: (i) the joint process consisting of the age structure vector and the Leslie matrix which produced that age structure is a Markov chain with explicit transition function; (ii) the joint distribution of age structure and Leslie matrix becomes independent of initial age structure and of the initial distribution of the Leslie matrix after a long time; (iii) when the Markov chain governing the Leslie matrix is homogeneous, the joint distribution in (ii) approaches a limit which may be easily calculated as the solution of a renewal equation. A numerical example will be given in Cohen (1977).

Koala survival analysis and Leslie matrices

UQ eSpace ◽  
2017 ◽  
Author(s):  
Hawthorne Beyer ◽  
Jon Hanger
Keyword(s):  
Survival Analysis ◽  
Leslie Matrices

scholarly journals Life tables and Leslie matrices for mammalian cohorts in different paleobiological contexts during the Pleistocene

TaphonomieS ◽  
2017 ◽  
pp. 477-508
Author(s):  
Philippe Fernandez ◽  
Christophe Bonenfant ◽  
Jean-Michel Gaillard ◽  
Hervé Monchot
Keyword(s):  
Life Tables ◽  
Leslie Matrices

Age-Grouping, Time-Specific Life-Tables, and Predictive Population Models

2021 ◽  
pp. 362-383
Author(s):  
Peter A. Henderson
Keyword(s):  
Developmental Stage ◽  
Food Availability ◽  
Life Tables ◽  
Population Models ◽  
Leslie Matrix ◽  
Population Modelling ◽  
Temperature Dependent ◽  
Animal Groups ◽  
Leslie Matrices ◽  
Time Specific

This chapter describes techniques to create life-tables for animals whose generations overlap widely. Age-grouping is a prerequisite for these methods, which have been most widely applied to vertebrate populations. Age cannot be inferred from the developmental stage without reference to the environment. The speed of development may be temperature-dependent or influenced by factors such as oxygen and food availability. The methods for ageing animal groups, including invertebrates, fish, reptiles, amphibians, birds, and mammals, are reviewed. Time-specific life-tables, population modelling, and Leslie matrices are described. R code to analyze Leslie matrix dynamics is presented.

Primitivity of products of leslie matrices

1985 ◽  
Vol 47 (1) ◽  
pp. 23-34 ◽  
Author(s):  
G. C. Taylor
Keyword(s):  
Leslie Matrices

scholarly journals Body downsizing caused by non-consumptive social stress severely depresses population growth rate

2009 ◽  
Vol 277 (1683) ◽  
pp. 843-851 ◽  
Author(s):  
Eric Edeline ◽  
Thrond O. Haugen ◽  
Finn-Arne Weltzien ◽  
David Claessen ◽  
Ian J. Winfield ◽  
...  
Keyword(s):  
Growth Rate ◽  
Density Dependence ◽  
Social Stress ◽  
Prey Availability ◽  
Survival Rates ◽  
Population Modelling ◽  
Size Dependent ◽  
Rate Of Increase ◽  
Primary Driver ◽  
Leslie Matrices

Chronic social stress diverts energy away from growth, reproduction and immunity, and is thus a potential driver of population dynamics. However, the effects of social stress on demographic density dependence remain largely overlooked in ecological theory. Here we combine behavioural experiments, physiology and population modelling to show in a top predator (pike Esox lucius ) that social stress alone may be a primary driver of demographic density dependence. Doubling pike density in experimental ponds under controlled prey availability did not significantly change prey intake by pike (i.e. did not significantly change interference or exploitative competition), but induced a neuroendocrine stress response reflecting a size-dependent dominance hierarchy, depressed pike energetic status and lowered pike body growth rate by 23 per cent. Assuming fixed size-dependent survival and fecundity functions parameterized for the Windermere (UK) pike population, stress-induced smaller body size shifts age-specific survival rates and lowers age-specific fecundity, which in Leslie matrices projects into reduced population rate of increase ( λ ) by 37–56%. Our models also predict that social stress flattens elasticity profiles of λ to age-specific survival and fecundity, thus making population persistence more dependent on old individuals. Our results suggest that accounting for non-consumptive social stress from competitors and predators is necessary to accurately understand, predict and manage food-web dynamics.

Sign in / Sign up

Export Citation Format

Share Document