We constructed a femalebased, agestructured, matrix population model for each regional and continental site caswell 2001. The upper half of the table shows averages over stages and over seasons when the dynamics are a fixed point on the interannual time scale, and thus a pcycle on the seasonal time scale. Agestructured matrix models objectives set up a model of population growth with age structure. It goes on to cover advanced topics in stochastic and nonlinear models. It is commonly applied to population growth rates calculated from linear models, but there has been. Matrix population models hal caswell oxford university. Perturbation analysis of nonlinear matrix population models hal caswell c 2008 caswell. Although they are in some ways the simplest of the mathematical approaches to structured population modeling see chapter 1, their analysis requires computational power. Readers looking for background or prerequisites will find much of it in hal caswell s matrix population models. This openaccess work is published under the terms of the creative commons attribution noncommercial license 2. Matrix methods for population analysis springerlink. Matrix population models, second edition, is a comprehensive treatment of matrix population models and their applications in ecology and demography.
First, a matrix population model corresponding to a general sperm whale life cycle is presented. Construction and analysis of matrix population models. Demographic analysis of sperm whales using matrix population. Hal caswell is a senior scientist in the biology department at the woods hole oceanographic institution, where he holds the robert w. It begins with simple cases, presented in detail so that beginning students can learn how to use these powerful models. The resulting agestage models can be used to derive the agespecific consequences of a stagespecific life history or to describe populations in which the vital rates respond to both age and stage.
We constructed sizeclassified population matrix models lefkovitch 1965. Matrix models and sensitivity analysis of populations. I derive a general formula for the sensitivity of any output. Construction, analysis, and interpretation by hal caswell. In linear models, the percapita vital rates are independent of population size and structure. The matrix population models workflow provides an environment for create a stage matrix with no density dependence and perform several analyses on it.
Matrix population models paperback hal caswell oxford. A former guggenheim fellow and a fellow of aaas, he has also served as chairman of the theoretical ecology section of the ecological society of america. The value of t can be computed as equation 2 this timespecific growth rate is not necessarily the same in equation 1. About the authors hal caswell is a senior scientist in the biology department at the woods hole oceanographic institution, where he holds the robert w. Download pdf matrixpopulationmodels free online new. Construction, analysis, and interpretation by hal caswell and a great selection of related books, art and collectibles available now at. Another look at the eigenvalues of a population matrix model. Matrix population models caswell 2001 major reference. I recommend rightclicking on the link, saving the script to a designated folder, and loading up the script in rstudio. Matrix population models are a specific type of population model that uses matrix algebra. Hal caswell explains the construction, analysis and interpretation of matrix population models in the biological sciences. Jun 14, 2011 matrix population models in which individuals are classified by both age and stage can be constructed using the vecpermutation matrix.
Estimate the finite rate of increase from leslie matrix calculations. Construct and interpret the age distribution graphs. The values of the parameters in the model are then estimated. Download excel spreadsheet for projecting a census vector. Population matrix models are foundational in the study of ecology, population dynamics, wildlife management, and conservation biology caswell, 2001, and sensitivity investigations of the relationships between a ij and. Caswell converted matlab functions from caswell 2001 description chapter 2. Pdf matrix models and sensitivity analysis of populations. Construction, analysis, and interpretation hal caswell isbn.
Nov 30, 2000 matrix population models, second edition, is a comprehensive treatment of matrix population models and their applications in ecology and demography. He is the author of matrix population models 2nd edition, sinauer associates, 2001 and coauthor with the late nathan keyfitz of applied mathematical demography 3rd edition, springerverlag. This pack contains a workflow, a file and documentation tutorial to run the workflow. Matrix population model construction and analysis pack. Reproductive value, the stable stage distribution, and the. Moreover, i can start with continuous rates, and calculate the equivalent discrete time model that makes identical predictions. Nov 29, 2001 northern right whales eubalaena glacialis were formerly abundant in the northwestern atlantic, but by 1900 they had been hunted to near extinction. Construction, analysis, and interpretation pdf epub mobi ebook matrix population models. Stochastic models are handled via monte carlo simulation.
Download matrix population models pdf by hal caswell. Demographic models and ipcc climate projections predict the. The package covers methods described in matrix population models by caswell 2001 and quantitative conservation biology by morris and doak 2002. The sensitivity analysis of population projections volume 33. Construction, analysis, and interpretation pdf epub. The matrix population model has 5 ages, 1year time steps, and birth flow reproduction supplementary data.
Pdf matrix population models download full pdf book download. First of all, this lecture is full of r code r is pretty good at running matrix population models. Large data requirements may restrict the use of matrix population models for analysis of population. Demography of the endangered north atlantic right whale nature. If you want to follow along in r, you can find the r script here. Sensitivity analysis of periodic matrix population models. Construction, analysis, and interpretation 2nd edition. Matrix population models hal caswell oxford university press. Agestructured matrix population models nc state university. Matrix population models in which individuals are classified by both age and stage can be constructed using the vecpermutation matrix. Perturbation analysis of nonlinear matrix population models. The leslie matrix the major goal of the matrix model is to compute, the finite rate of increase in equation 1, for a population with age structure. Based on knowledge of the effects of sea ice on the vital rates and population of emperor penguins 12, we develop a stochastic population model to estimate population growth rates and probabilities of quasiextinction under projections of future ice conditions from climate models used in the latest ipcc fourth assessment report. The uneven mathematical level is dictated by the material, but the book should be accessible to readers interested in population the ory.
Matrix models have been used by many authors to study agestructured populations. Sinauer associates inc, sunderland, massachusetts, usa. The package consists mainly of methods described in hal caswell s matrix population models 2001 and morris and doaks quantitative conservation biology 2002. Of all published articles, the following were the most read within the past 12 months. Contents preface xvii preface to the first edition xxi 1introduction 1 1. Matrix models for structured populations were introduced by p. Demography of the endangered north atlantic right whale. Reproductive value, the stable stage distribution, and the sensitivity of the population growth rate to changes in vital rates. Tuljapurkar of structured population models in marine.
By hal caswell download pdf submit a response letter. Unlimited viewing of the articlechapter pdf and any associated supplements and figures. The effects of diseaseinduced juvenile mortality on the transient and asymptotic population dynamics of chinook salmon oncorhynchus tshawytscha. This may seem timeconsuming and arduous, however, the process is almost instantaneous with the. The stable growth rate is often used as an indicator of. Caswell has been recognized by numerous international awards and fellowships in both human demography and ecology. Matrix population models are a powerful tool for investigating the population dynamic consequences of the structure of the life cycle and the vital rates rates of mortality, fertility, growth and development, especially when individuals are more appropriately classified by size or developmental stage than by age. We used two size classes of juveniles \1 mm and 12. In this paper, we develop a stagestructured matrix population model for sperm whales. Determine the stable age distribution of the population. Large data requirements may restrict the use of matrix population models for analysis of population dynamics.
In our matrix model, we can compute the timespecific growth rate as t. Sinauer associates is an imprint of oxford university press. Extinction time probability distribution is also studied. Request pdf on jan 1, 2001, hal caswell and others published matrix population models find, read and cite all the research you need on researchgate. Population models are used in population ecology to model the dynamics of wildlife or human populations. The sensitivity analysis of population projections. Pdf matrix population models download full pdf book. Construction, analysis and interpretation by caswell h. Matrix population models construction, analysis, and interpretation. There is considerable interest in the use of population models to project a species future population size, to determine the ultimate effects of current management decisions, and. The package consists mainly of methods described in hal caswell s matrix population models 2001 and morris and doaks.
Tuljapurkar of structured population models in marine, terrestrial and freshwater systems chapman and hall, 1997. The parameters for our model were obtained from the limited information in the literature or by construction using other vital rates as in doak et al. T he bureau of land management blm wild horses and burros management handbook states that the winequus model, 1 developed by stephen jenkins at the university of nevada, reno, will be used during gather or herd management area planning to analyze and compare the effects of proposed wild horse. The demographic consequences of these transitions can be captured by matrix population models, and such models provide a natural link connecting multistage markrecapture methods and population dynamics. Calculation of averages of attractors of nonlinear periodic matrix population models.
A genetic matrix population model for ecoevolutionary dynamics. Northern right whales eubalaena glacialis were formerly abundant in the northwestern atlantic, but by 1900 they had been hunted to near extinction. T he bureau of land management blm wild horses and burros management handbook states that the winequus model, 1 developed by stephen jenkins at the university of nevada, reno, will be used during gather or herd management area planning to analyze and compare the effects of proposed wild horse management and to identify whether any of. Matrix population models hal caswell sec o n d editio n construction, analysis, and interpretation. Matrix algebra, in turn, is simply a form of algebraic shorthand for summarizing a larger number of often repetitious and tedious algebraic computations.