Probabilistic Models Of Population Evolution

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Probabilistic Models of Population Evolution

Author : Étienne Pardoux
Publisher : Springer
ISBN 13 : 3319303287
Total Pages : 129 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Probabilistic Models of Population Evolution by : Étienne Pardoux

Download or read book Probabilistic Models of Population Evolution written by Étienne Pardoux and published by Springer. This book was released on 2016-06-17 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications. Étienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud.

Probabilistic Structures in Evolution

Author : Ellen Baake
Publisher :
ISBN 13 : 9783985475056
Total Pages : pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Probabilistic Structures in Evolution by : Ellen Baake

Download or read book Probabilistic Structures in Evolution written by Ellen Baake and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Population Dynamics: Algebraic And Probabilistic Approach

Author : Utkir A Rozikov
Publisher : World Scientific
ISBN 13 : 9811211248
Total Pages : 458 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Population Dynamics: Algebraic And Probabilistic Approach by : Utkir A Rozikov

Download or read book Population Dynamics: Algebraic And Probabilistic Approach written by Utkir A Rozikov and published by World Scientific. This book was released on 2020-04-22 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras.A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010.The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems.The main aim of this book is to facilitate the reader's in-depth understanding by giving a systematic review of the theory of population dynamics which has wide applications in biology, mathematics, medicine, and physics.

Probability Models for DNA Sequence Evolution

Author : Richard Durrett
Publisher : Springer Science & Business Media
ISBN 13 : 9780387954356
Total Pages : 342 pages
Book Rating : 4.9/5 (543 download)

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Book Synopsis Probability Models for DNA Sequence Evolution by : Richard Durrett

Download or read book Probability Models for DNA Sequence Evolution written by Richard Durrett and published by Springer Science & Business Media. This book was released on 2002 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many researchers in statistics, biology, mathematics, and computer science are working in the area of genetics. This book presents mathematical techniques for understanding sequence evolution. Throughout the book, the theory is developed in close connection with data from more than 60 experimental studies from the biology literature that illustrate the use of these results. This book is written for mathematicians and for biologists alike. It assumes no previous knowledge of concepts from biology and only a basic knowledge of probability.

Stochastic Models for Structured Populations

Author : Sylvie Meleard
Publisher : Springer
ISBN 13 : 3319217119
Total Pages : 111 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Stochastic Models for Structured Populations by : Sylvie Meleard

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.

Analysis of Probabilistic Models of Evolution

Author : Frederick Albert Matsen
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (213 download)

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Book Synopsis Analysis of Probabilistic Models of Evolution by : Frederick Albert Matsen

Download or read book Analysis of Probabilistic Models of Evolution written by Frederick Albert Matsen and published by . This book was released on 2006 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Population Dynamics

Author : Bertram G. Jr. Murray
Publisher : Elsevier
ISBN 13 : 0323159850
Total Pages : 223 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Population Dynamics by : Bertram G. Jr. Murray

Download or read book Population Dynamics written by Bertram G. Jr. Murray and published by Elsevier. This book was released on 2013-07-22 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population Dynamics: Alternative Models provides a theoretical framework of population dynamics. This book contains seven chapters that discuss the controversies surrounding discussions on the explicit view of the subject. Chapters 1 and 2 present a general introduction to the terminology, the mathematical background, and the philosophical approach that lie behind the theoretical development. Chapter 3 contains a series of models accounting for variations in population growth rates, sizes, and fluctuations, while Chapter 4 examines a model accounting for the evolution of life history patterns. A more detailed examination of the effects of predation on prey populations, especially with respect to determining a prey population's maximum sustainable yield, is explored in Chapter 5. Chapter 6 highlights the interspecific competition theory in terms of the population dynamics models presented in a previous chapter. Chapter 7 summarizes the developments in the population dynamics research studies. This work will be of great value to ecologists, biologists, and population dynamics researchers.

Introduction to Population Modeling

Author : J.C. Frauenthal
Publisher : Springer Science & Business Media
ISBN 13 : 1468473220
Total Pages : 195 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Introduction to Population Modeling by : J.C. Frauenthal

Download or read book Introduction to Population Modeling written by J.C. Frauenthal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text of this monograph represents the author's lecture notes from a course taught in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook in the Spring of 1977. On account of its origin as lecture notes, some sections of the text are telegraphic in style while other portions are overly detailed. This stylistic foible has not been modified as it does not appear to detract seriously from the readability and it does help to indicate which topics were stressed. The audience for the course at Stony Brook was composed almost entirely of fourth year undergraduates majoring in the mathematical sciences. All of these students had studied at least four semesters of calculus and one of probability; few had any prior experience with either differential equations or ecology. It seems prudent to point out that the author's background is in engineering and applied mathematics and not in the biological sciences. It is hoped that this is not painfully obvious. -vii- The focus of the monograph is on the formulation and solution of mathematical models; it makes no pretense of being a text in ecology. The idea of a population is employed mainly as a pedagogic tool, providing unity and intuitive appeal to the varied mathematical ideas introduced. If the biological setting is stripped away, what remains can be interpreted as topics on the qualitative behavior of differential and difference equations.

Some Mathematical Models from Population Genetics

Author : Alison Etheridge
Publisher : Springer
ISBN 13 : 3642166326
Total Pages : 129 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Some Mathematical Models from Population Genetics by : Alison Etheridge

Download or read book Some Mathematical Models from Population Genetics written by Alison Etheridge and published by Springer. This book was released on 2011-01-05 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically.

Population Biology

Author : Alan Hastings
Publisher : Springer Science & Business Media
ISBN 13 : 1475727313
Total Pages : 228 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Population Biology by : Alan Hastings

Download or read book Population Biology written by Alan Hastings and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population biology has been investigated quantitatively for many decades, resulting in a rich body of scientific literature. Ecologists often avoid this literature, put off by its apparently formidable mathematics. This textbook provides an introduction to the biology and ecology of populations by emphasizing the roles of simple mathematical models in explaining the growth and behavior of populations. The author only assumes acquaintance with elementary calculus, and provides tutorial explanations where needed to develop mathematical concepts. Examples, problems, extensive marginal notes and numerous graphs enhance the book's value to students in classes ranging from population biology and population ecology to mathematical biology and mathematical ecology. The book will also be useful as a supplement to introductory courses in ecology.

Stability in Model Populations (MPB-31)

Author : Laurence D. Mueller
Publisher : Princeton University Press
ISBN 13 : 0691209944
Total Pages : 334 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Stability in Model Populations (MPB-31) by : Laurence D. Mueller

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.

Handbook of Statistical Genomics

Author : David J. Balding
Publisher : John Wiley & Sons
ISBN 13 : 1119429250
Total Pages : 1828 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Handbook of Statistical Genomics by : David J. Balding

Download or read book Handbook of Statistical Genomics written by David J. Balding and published by John Wiley & Sons. This book was released on 2019-07-09 with total page 1828 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely update of a highly popular handbook on statistical genomics This new, two-volume edition of a classic text provides a thorough introduction to statistical genomics, a vital resource for advanced graduate students, early-career researchers and new entrants to the field. It introduces new and updated information on developments that have occurred since the 3rd edition. Widely regarded as the reference work in the field, it features new chapters focusing on statistical aspects of data generated by new sequencing technologies, including sequence-based functional assays. It expands on previous coverage of the many processes between genotype and phenotype, including gene expression and epigenetics, as well as metabolomics. It also examines population genetics and evolutionary models and inference, with new chapters on the multi-species coalescent, admixture and ancient DNA, as well as genetic association studies including causal analyses and variant interpretation. The Handbook of Statistical Genomics focuses on explaining the main ideas, analysis methods and algorithms, citing key recent and historic literature for further details and references. It also includes a glossary of terms, acronyms and abbreviations, and features extensive cross-referencing between chapters, tying the different areas together. With heavy use of up-to-date examples and references to web-based resources, this continues to be a must-have reference in a vital area of research. Provides much-needed, timely coverage of new developments in this expanding area of study Numerous, brand new chapters, for example covering bacterial genomics, microbiome and metagenomics Detailed coverage of application areas, with chapters on plant breeding, conservation and forensic genetics Extensive coverage of human genetic epidemiology, including ethical aspects Edited by one of the leading experts in the field along with rising stars as his co-editors Chapter authors are world-renowned experts in the field, and newly emerging leaders. The Handbook of Statistical Genomics is an excellent introductory text for advanced graduate students and early-career researchers involved in statistical genetics.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

Author : Sarah P. Otto
Publisher : Princeton University Press
ISBN 13 : 1400840910
Total Pages : 745 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by : Sarah P. Otto

Download or read book A Biologist's Guide to Mathematical Modeling in Ecology and Evolution written by Sarah P. Otto and published by Princeton University Press. This book was released on 2011-09-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Theory of Natural Selection and Population Growth

Author : Lev R. Ginzburg
Publisher : Benjamin-Cummings Publishing Company
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Theory of Natural Selection and Population Growth by : Lev R. Ginzburg

Download or read book Theory of Natural Selection and Population Growth written by Lev R. Ginzburg and published by Benjamin-Cummings Publishing Company. This book was released on 1983 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Population Biology

Author : Philip W. Hedrick
Publisher : Jones & Bartlett Publishers
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Population Biology by : Philip W. Hedrick

Download or read book Population Biology written by Philip W. Hedrick and published by Jones & Bartlett Publishers. This book was released on 1984 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Problems in Probabilistic Modeling of Germline and Somatic Evolutionary Processes

Author : William S. DeWitt
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)

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Book Synopsis Some Problems in Probabilistic Modeling of Germline and Somatic Evolutionary Processes by : William S. DeWitt

Download or read book Some Problems in Probabilistic Modeling of Germline and Somatic Evolutionary Processes written by William S. DeWitt and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary processes shape biological systems at all scales, and understanding evolutionary mechanisms requires quantitative frameworks that are matched in sophistication to modern experimental capabilities. This dissertation covers quantitative work along two biological threads---evolutionary genomics and adaptive immunology. I describe how complex dynamics of mutational activity in evolving populations can be recovered from population-level whole-genome sequencing data, and show results on mutation spectrum evolution over thousands of generations in humans. Next, I describe inference of evolutionary histories in a regime of dense single-cell sampling of cellular diversification, where identical genotypes from clonal subpopulations are sampled, and genotype abundance influences the mutational output of a clone because it is closely related to clonal population size. In particular, I address phylogenetic tree inference for B cells evolving improved antibodies. I conclude with an outlook for future research that synthesizes evolutionary genomics and adaptive immunology, and views the latter as a powerful evolutionary model system.

Probability Models for DNA Sequence Evolution

Author : Rick Durrett
Publisher : Springer Science & Business Media
ISBN 13 : 1475762852
Total Pages : 246 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Probability Models for DNA Sequence Evolution by : Rick Durrett

Download or read book Probability Models for DNA Sequence Evolution written by Rick Durrett and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: "What underlying forces are responsible for the observed patterns of variability, given a collection of DNA sequences?" In approaching this question a number of probability models are introduced and anyalyzed.Throughout the book, the theory is developed in close connection with data from more than 60 experimental studies that illustrate the use of these results.