Matrix Population Models

Matrix Population Models
Author: Hal Caswell
Publisher: Sinauer
Total Pages: 0
Release: 2006-05-10
Genre: Science
ISBN: 9780878931217

This book provides a complete treatment of matrix population models and their applications in ecology and demography. It is written for graduate students and researchers in ecology, population biology, conservation biology and human demography.

Structured-Population Models in Marine, Terrestrial, and Freshwater Systems

Structured-Population Models in Marine, Terrestrial, and Freshwater Systems
Author: Shripad Tuljapurkar
Publisher: Springer Science & Business Media
Total Pages: 644
Release: 2012-12-06
Genre: Science
ISBN: 1461559731

In the summer of 1993, twenty-six graduate and postdoctoral stu dents and fourteen lecturers converged on Cornell University for a summer school devoted to structured-population models. This school was one of a series to address concepts cutting across the traditional boundaries separating terrestrial, marine, and freshwa ter ecology. Earlier schools resulted in the books Patch Dynamics (S. A. Levin, T. M. Powell & J. H. Steele, eds., Springer-Verlag, Berlin, 1993) and Ecological Time Series (T. M. Powell & J. H. Steele, eds., Chapman and Hall, New York, 1995); a book on food webs is in preparation. Models of population structure (differences among individuals due to age, size, developmental stage, spatial location, or genotype) have an important place in studies of all three kinds of ecosystem. In choosing the participants and lecturers for the school, we se lected for diversity-biologists who knew some mathematics and mathematicians who knew some biology, field biologists sobered by encounters with messy data and theoreticians intoxicated by the elegance of the underlying mathematics, people concerned with long-term evolutionary problems and people concerned with the acute crises of conservation biology. For four weeks, these perspec tives swirled in discussions that started in the lecture hall and carried on into the sweltering Ithaca night. Diversity mayor may not increase stability, but it surely makes things interesting.

An Introduction to Structured Population Dynamics

An Introduction to Structured Population Dynamics
Author: J. M. Cushing
Publisher: SIAM
Total Pages: 204
Release: 1998-01-01
Genre: Science
ISBN: 0898714176

This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models.

Sensitivity Analysis: Matrix Methods in Demography and Ecology

Sensitivity Analysis: Matrix Methods in Demography and Ecology
Author: Hal Caswell
Publisher: Springer
Total Pages: 308
Release: 2019-04-02
Genre: Social Science
ISBN: 3030105342

This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.

A Short History of Mathematical Population Dynamics

A Short History of Mathematical Population Dynamics
Author: Nicolas Bacaƫr
Publisher: Springer Science & Business Media
Total Pages: 160
Release: 2011-02-01
Genre: Mathematics
ISBN: 0857291157

As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.

Tropical Ecological Systems

Tropical Ecological Systems
Author: F.B. Golley
Publisher: Springer Science & Business Media
Total Pages: 393
Release: 2012-12-06
Genre: Science
ISBN: 3642885330

In 1971 the International Society of Tropical Ecology and the International Association for Ecology held a meeting on Tropical Ecology, with an emphasis on organic production in New Delhi, India. At this meeting a Working Group on Tropical Ecology was organized, consisting of K. C. Misra (India), F. Malaisse (Zaire), E. Medina (Venezuela) and F. Golley (U.S.A.). The object of this Working Group was to stimulate interaction between tropical ecologists through future scientific meetings and other exchanges and communications. A second meeting of ISTE and INTECOL was held in Caracas, Venezuela in 1973, under the direction of Medina and Golley and sponsored by the Depart ment of Ecology, Institute Venezolano Investigaciones Cientificas (lVIC). The basic structure of the meeting was provided by series of invited papers which considered topics of special interest from both an applied and theoretical view. These included physiological ecology (Pannier), populations (Rabinovich), tropical savannas (Lamotte), rivers (Sioli), estuaries (Rodriguez), and island ecosystems (Mueller-Dombois). Contributed papers considered details of these and other ecological topics, including the application of ecology to human problems. The present volume includes the invited papers listed above and a sampling of contributed papers which together illustrate the trends of research in tropical ecology. The papers show that tropical ecology is a vigorous subject of research. While the papers in this volume do not provide reviews of all the topics of study in tropical ecology, they do present authoritative statements on progress in the major subject in the field.

Integrated Population Models

Integrated Population Models
Author: Michael Schaub
Publisher: Academic Press
Total Pages: 640
Release: 2021-11-12
Genre: Science
ISBN: 0128209151

Integrated Population Models: Theory and Ecological Applications with R and JAGS is the first book on integrated population models, which constitute a powerful framework for combining multiple data sets from the population and the individual levels to estimate demographic parameters, and population size and trends. These models identify drivers of population dynamics and forecast the composition and trajectory of a population. Written by two population ecologists with expertise on integrated population modeling, this book provides a comprehensive synthesis of the relevant theory of integrated population models with an extensive overview of practical applications, using Bayesian methods by means of case studies. The book contains fully-documented, complete code for fitting all models in the free software, R and JAGS. It also includes all required code for pre- and post-model-fitting analysis. Integrated Population Models is an invaluable reference for researchers and practitioners involved in population analysis, and for graduate-level students in ecology, conservation biology, wildlife management, and related fields. The text is ideal for self-study and advanced graduate-level courses. - Offers practical and accessible ecological applications of IPMs (integrated population models) - Provides full documentation of analyzed code in the Bayesian framework - Written and structured for an easy approach to the subject, especially for non-statisticians

Population Ecology in Practice

Population Ecology in Practice
Author: Dennis L. Murray
Publisher: John Wiley & Sons
Total Pages: 448
Release: 2020-02-10
Genre: Science
ISBN: 0470674148

A synthesis of contemporary analytical and modeling approaches in population ecology The book provides an overview of the key analytical approaches that are currently used in demographic, genetic, and spatial analyses in population ecology. The chapters present current problems, introduce advances in analytical methods and models, and demonstrate the applications of quantitative methods to ecological data. The book covers new tools for designing robust field studies; estimation of abundance and demographic rates; matrix population models and analyses of population dynamics; and current approaches for genetic and spatial analysis. Each chapter is illustrated by empirical examples based on real datasets, with a companion website that offers online exercises and examples of computer code in the R statistical software platform. Fills a niche for a book that emphasizes applied aspects of population analysis Covers many of the current methods being used to analyse population dynamics and structure Illustrates the application of specific analytical methods through worked examples based on real datasets Offers readers the opportunity to work through examples or adapt the routines to their own datasets using computer code in the R statistical platform Population Ecology in Practice is an excellent book for upper-level undergraduate and graduate students taking courses in population ecology or ecological statistics, as well as established researchers needing a desktop reference for contemporary methods used to develop robust population assessments.