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Author : H. Roozen
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (256 download)
Download or read book Equilibrium and Extinction in Stochastic Population Dynamics written by H. Roozen and published by . This book was released on 1986 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henricus Nicolaas Maria Roozen
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (96 download)
Download or read book Equilibrium and Extinction in Stochastic Population Dynamics written by Henricus Nicolaas Maria Roozen and published by . This book was released on 1986 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Russell Lande
Publisher : OUP Oxford
ISBN 13 : 9780198525257
Total Pages : 698 pages
Book Rating : 4.5/5 (252 download)
Download or read book Stochastic Population Dynamics in Ecology and Conservation written by Russell Lande and published by OUP Oxford. This book was released on 2003 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Demographic and environmental stochasticity -- 2. Extinction dynamics -- 3. Age structure -- 4. Spatial structure -- 5. Population viability analysis -- 6. Sustainable harvesting -- 7. Species diversity -- 8. Community dynamics.
Author : H. Roozen
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (46 download)
Download or read book Equilibrum and extinction in stochastic population dynamics written by H. Roozen and published by . This book was released on 1986 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eric Renshaw
Publisher : Oxford University Press
ISBN 13 : 0198739060
Total Pages : 665 pages
Book Rating : 4.1/5 (987 download)
Download or read book Stochastic Population Processes written by Eric Renshaw and published by Oxford University Press. This book was released on 2015 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reference text presenting stochastic processes and a range of approximation and simulation techniques for extracting behavioural information in the context of stochastic population dynamics.
Author : Linnean Society of London
Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.3/5 (91 download)
Download or read book Metapopulation Dynamics written by Linnean Society of London and published by . This book was released on 1991 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metapopulation Dynamics: Empirical and Theoretical Investigations covers the 1989 proceedings of a metapopulation dynamics workshop held at Lammi Biological Station, Helsinki, Finland. It is divided into 18 chapters that cover various approaches to spatially structured population and community dynamics. After briefly discussing the history of metapopulation ideas and the major conceptual links, the book covers types of studies that have been conducted on single-species and multispecies metapopulations. Then, it examines the relationships between metapopulation dynamics, the equilibrium theory ...
Author : J. M. Cushing
Publisher : SIAM
ISBN 13 : 0898714176
Total Pages : 204 pages
Book Rating : 4.8/5 (987 download)
Download or read book An Introduction to Structured Population Dynamics written by J. M. Cushing and published by SIAM. This book was released on 1998-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models.
Author : Donald Edmund Strebel
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (318 download)
Download or read book Population Growth and Extinction in Stochastic Environments written by Donald Edmund Strebel and published by . This book was released on 1980 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jin Yoshimura
Publisher : Springer Science & Business Media
ISBN 13 : 3642514839
Total Pages : 200 pages
Book Rating : 4.6/5 (425 download)
Download or read book Adaptation in Stochastic Environments written by Jin Yoshimura and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of natural selection, as developed by Fisher, Haldane, and 'Wright, and their followers, is in a sense a statistical theory. By and large the classical theory assumes that the underlying environment in which evolution transpires is both constant and stable - the theory is in this sense deterministic. In reality, on the other hand, nature is almost always changing and unstable. We do not yet possess a complete theory of natural selection in stochastic environ ments. Perhaps it has been thought that such a theory is unimportant, or that it would be too difficult. Our own view is that the time is now ripe for the development of a probabilistic theory of natural selection. The present volume is an attempt to provide an elementary introduction to this probabilistic theory. Each author was asked to con tribute a simple, basic introduction to his or her specialty, including lively discussions and speculation. We hope that the book contributes further to the understanding of the roles of "Chance and Necessity" (Monod 1971) as integrated components of adaptation in nature.
Author :
Publisher : Princeton University Press
ISBN 13 : 9780691088617
Total Pages : 304 pages
Book Rating : 4.0/5 (886 download)
Download or read book Stability and Complexity in Model Ecosystems written by and published by Princeton University Press. This book was released on 2001-03-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In 1973, Robert May addressed these questions in this classic book. May investigated the mathematical roots of population dynamics and argued-counter to most current biological thinking-that complex ecosystems in themselves do not lead to population stability. Stability and Complexity in Model Ecosystems played a key role in introducing nonlinear mathematical models and the study of deterministic chaos into ecology, a role chronicled in James Gleick's book Chaos. In the quarter century since its first publication, the book's message has grown in power. Nonlinear models are now at the center of ecological thinking, and current threats to biodiversity have made questions about the role of ecosystem complexity more crucial than ever. In a new introduction, the author addresses some of the changes that have swept biology and the biological world since the book's first publication.
Author : Laurence D. Mueller
Publisher : Princeton University Press
ISBN 13 : 0691209944
Total Pages : 334 pages
Book Rating : 4.6/5 (912 download)
Download or read book Stability in Model Populations (MPB-31) written by Laurence D. Mueller and published by Princeton University Press. This book was released on 2020-03-31 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout the twentieth century, biologists investigated the mechanisms that stabilize biological populations, populations which--if unchecked by such agencies as competition and predation--should grow geometrically. How is order in nature maintained in the face of the seemingly disorderly struggle for existence? In this book, Laurence Mueller and Amitabh Joshi examine current theories of population stability and show how recent laboratory research on model populations--particularly blowflies, Tribolium, and Drosophila--contributes to our understanding of population dynamics and the evolution of stability. The authors review the general theory of population stability and critically analyze techniques for inferring whether a given population is in balance or not. They then show how rigorous empirical research can reveal both the proximal causes of stability (how populations are regulated and maintained at an equilibrium, including the relative roles of biotic and abiotic factors) and its ultimate, mostly evolutionary causes. In the process, they describe experimental studies on model systems that address the effects of age-structure, inbreeding, resource levels, and population structure on the stability and persistence of populations. The discussion incorporates the authors' own findings on the evolution of population stability in Drosophila. They go on to relate laboratory work to studies of animals in the wild and to develop a general framework for relating the life history and ecology of a species to its population dynamics. This accessible, finely written illustration of how carefully designed experiments can improve theory will have tremendous value for all ecologists and evolutionary biologists.
Author : Linda J. S. Allen
Publisher : Springer
ISBN 13 : 331921554X
Total Pages : 55 pages
Book Rating : 4.3/5 (192 download)
Download or read book Stochastic Population and Epidemic Models written by Linda J. S. Allen and published by Springer. This book was released on 2015-08-20 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first chapter develops the branching process theory, while in the second chapter two applications to population and epidemic processes of single-type branching process theory are explored. The last two chapters present multi-type branching process applications to epidemic models, and then continuous-time and continuous-state branching processes with applications. In addition, several MATLAB programs for simulating stochastic sample paths are provided in an Appendix. These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA. Professor Linda Allen is a Paul Whitfield Horn Professor of Mathematics in the Department of Mathematics and Statistics at Texas Tech University, USA.
Author : Sylvie Meleard
Publisher : Springer
ISBN 13 : 3319217119
Total Pages : 111 pages
Book Rating : 4.3/5 (192 download)
Download or read book Stochastic Models for Structured Populations written by Sylvie Meleard and published by Springer. This book was released on 2015-09-03 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France). Vincent Bansaye and Sylvie Méléard are Professors at Ecole Polytechnique (France). They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.
Author : Robert F. Costantino
Publisher : Springer Science & Business Media
ISBN 13 : 1461231701
Total Pages : 272 pages
Book Rating : 4.4/5 (612 download)
Download or read book Population Dynamics and the Tribolium Model: Genetics and Demography written by Robert F. Costantino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.
Author : D. Ludwig
Publisher : Springer Science & Business Media
ISBN 13 : 3642808832
Total Pages : 117 pages
Book Rating : 4.6/5 (428 download)
Download or read book Stochastic Population Theories written by D. Ludwig and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes serve as an introduction to stochastic theories which are useful in population biology; they are based on a course given at the Courant Institute, New York, in the Spring of 1974. In order to make the material. accessible to a wide audience, it is assumed that the reader has only a slight acquaintance with probability theory and differential equations. The more sophisticated topics, such as the qualitative behavior of nonlinear models, are approached through a succession of simpler problems. Emphasis is placed upon intuitive interpretations, rather than upon formal proofs. In most cases, the reader is referred elsewhere for a rigorous development. On the other hand, an attempt has been made to treat simple, useful models in some detail. Thus these notes complement the existing mathematical literature, and there appears to be little duplication of existing works. The authors are indebted to Miss Jeanette Figueroa for her beautiful and speedy typing of this work. The research was supported by the National Science Foundation under Grant No. GP-32996X3. CONTENTS I. LINEAR MODELS •••••. •••••••••••••••. . ••••••••••••••••••••••••••••••••••••••• 1 1. The Poisson Process ••••••••••••••••••••••••••. ••. •••••••••••. •••••••••• 1 2. Birth and Death Processes 5 2. 1 Linear Birth Process 5 2. 2 Linear Birth and Death Process •••••. ••••••. ••••••••••••••. •••••••• 7 2. 3 Birth and Death with Carrying Capacity ••••••••. •••. ••••••. ••••••. • 16 3. Branching Processes •••••••••••••••••••. •••••••. ••••••••. ••••••••••••••• 20 3. 1 Continuous Time . •••. ••••••••••. •••••••••••••••••••. ••••••••. ••••.
Author : Garrett T. Nieddu
Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.:/5 (14 download)
Download or read book Outbreak and Extinction Dynamics in Stochastic Populations written by Garrett T. Nieddu and published by . This book was released on 2018 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each piece of work herein examines nonlinear population dynamics using methods from deterministic dynamical systems, stochastic processes and statistical mechanics. This dissertation is the compilation of three independent – but related – pieces of work: the first investigates an isolated population that is capable of maintaining multiple carrying capacities; the second project examines a stochastic Ebola model with a zoonotic disease reservoir; and the third looks at a basic disease-invasion model to characterize outbreak vulnerability and the connectedness of supposedly separate populations. Each of these three chapters explore the interplay between interconnected systems, without explicitly modeling the elements that are external to the system of interest. The goal is to take a very large and complex lattice of interconnected biological systems and isolate the necessary components, so that modeling is both practical and utilitarian. These works are done in either an ecological or an epidemiological context, but the results in each chapter can be broadly applied to outbreak, invasion, extinction, and connectedness in stochastic population modeling.
Author : Alan A. Berryman
Publisher : Garland Science
ISBN 13 : 1000101851
Total Pages : 256 pages
Book Rating : 4.0/5 (1 download)
Download or read book Principles of Population Dynamics and Their Application written by Alan A. Berryman and published by Garland Science. This book was released on 2020-11-25 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to population dynamics, exploring rules that govern change in any dynamic system and applying these general principles to populations of living organisms. Principles of Population Dynamics and their Application is aimed at applied ecologists, resource managers. and pest managers. It is also aimed at undergraduate students taking courses in forestry, fisheries, widlife and pest management.
