Mathematical And Statistical Developments Of Evolutionary Theory

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Mathematical and Statistical Developments of Evolutionary Theory

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Author : S. Lessard
Publisher : Springer Science & Business Media
ISBN 13 : 9400905130
Total Pages : 371 pages
Book Rating : 4.4/5 (9 download)

Book Synopsis Mathematical and Statistical Developments of Evolutionary Theory by : S. Lessard

Download or read book Mathematical and Statistical Developments of Evolutionary Theory written by S. Lessard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and statistical approaches to evolutionary theory are numerous. The NATO Advanced Study Institute (ASI) held at the Universite de Montreal, Montreal, August 3-21, 1987, was an opportunity to review most of the classical approaches and to study the more recent developments. The participation of theoretical biologists and geneticists as well as applied mathematicians and statisticians made possible exchanges of ideas between students and scholars having different views on the subject. These Proceedings contain the lecture notes of seven (7) of the eleven (11) series of lectures that were given. ESS (Evolutionarily Stable Stragety) theory is considered from many perspectives, from a game-theoretic approach to understanding behavior and evolution (W.G.S. Hines), and a systematic classification of properties and patterns of ESS's (C. Cannings) to particular applications of the differential geometry of the Shahshahani metric (E. Akin). Extensions of ESS theory to sexual populations and finite populations, not to mention games between relatives, are presented (W.G.S. Hines). Special attention is given to the classical game called the War of Attrition but with n players and random rewards (C. Cannings). The Shahshahani metric is also used to show the occurrence of cycling in the two-locus, two-allele model (E. Akin). Various inference problems in population genetics are adressed. Procedures to detect and measure selection components and polymorphism (in particular, the Wahlund effect) at one or several loci from mother-offspring combinations in natural populations are discussed at length (F.B. Christiansen).

Mathematical Evolutionary Theory

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Author : Marcus Feldman
Publisher : Princeton University Press
ISBN 13 : 1400859832
Total Pages : 352 pages
Book Rating : 4.4/5 (8 download)

Book Synopsis Mathematical Evolutionary Theory by : Marcus Feldman

Download or read book Mathematical Evolutionary Theory written by Marcus Feldman and published by Princeton University Press. This book was released on 2014-07-14 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international group of distinguished scientists presents an up-to-date survey of quantitative problems at the forefront of modern evolutionary theory. Their articles illustrate results from the latest research in population and behavioral genetics, molecular evolution, and ecology. Each author gives careful attention to the exposition of the models, the logic of their analysis, and the legitimacy of qualitative biological inferences. The topics covered include stochastic models of finite populations and the sorts of diffusion approximations that are valid for their study, models of migration, kin selection, geneculture coevolution, sexual selection, life-history evolution, the statistics of linkage disequilibrium, and the molecular evolution of repeated DNA sequences and the HLA system in humans. The fourteen contributions are presented in two sections: Part I, Stochastic and Deterministic Genetic Theory, and Part II, Behavior, Ecology, and Evolutionary Genetics. Marcus W. Feldman provides an introduction to each part. The contributors are J. G. Bodmer, W. F. Bodmer, L. L. Cavalli Sforza, F. B. Christiansen, C. Cockerham, W. J. Ewens, M. W. Feldman, J. H. Gillespie, R. R. Hudson, N. L. Kaplan, S. Lessard, U. Liberman, M.E.N. Majerus, P. O'Donald, J. Roughgarden, S. Tavar, M. K. Uyenoyama, G. A. Watterson, and B. Weir. Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Mathematical Evolutionary Theory

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Author : Marcus W. Feldman
Publisher :
ISBN 13 : 9780691085036
Total Pages : 341 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis Mathematical Evolutionary Theory by : Marcus W. Feldman

Download or read book Mathematical Evolutionary Theory written by Marcus W. Feldman and published by . This book was released on 1989 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international group of distinguished scientists presents an up-to-date survey of quantitative problems at the forefront of modern evolutionary theory. Their articles illustrate results from the latest research in population and behavioral genetics, molecular evolution, and ecology. Each author gives careful attention to the exposition of the models, the logic of their analysis, and the legitimacy of qualitative biological inferences. The topics covered include stochastic models of finite populations and the sorts of diffusion approximations that are valid for their study, models of migration, kin selection, geneculture coevolution, sexual selection, life-history evolution, the statistics of linkage disequilibrium, and the molecular evolution of repeated DNA sequences and the HLA system in humans. The fourteen contributions are presented in two sections: Part I, Stochastic and Deterministic Genetic Theory, and Part II, Behavior, Ecology, and Evolutionary Genetics. Marcus W. Feldman provides an introduction to each part. The contributors are J. G. Bodmer, W. F. Bodmer, L. L. Cavalli Sforza, F. B. Christiansen, C. Cockerham, W. J. Ewens, M. W. Feldman, J. H. Gillespie, R. R. Hudson, N. L. Kaplan, S. Lessard, U. Liberman, M.E.N. Majerus, P. O'Donald, J. Roughgarden, S. Tavar, M. K. Uyenoyama, G. A. Watterson, and B. Weir. Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Molecular Evolution

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Author : Ziheng Yang
Publisher : Oxford University Press
ISBN 13 : 0199602603
Total Pages : 509 pages
Book Rating : 4.1/5 (996 download)

Book Synopsis Molecular Evolution by : Ziheng Yang

Download or read book Molecular Evolution written by Ziheng Yang and published by Oxford University Press. This book was released on 2014 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and explains modern statistical methods and computational algorithms for the comparative analysis of genetic sequence data in the fields of molecular evolution, molecular phylogenetics, statistical phylogeography, and comparative genomics. The book offers numerous examples of real data analysis and numerical calculations to illustrate the theory, in addition to the working problems at the end of each chapter. The coverage of maximum likelihood and Bayesian methods are in particular up-to-date, comprehensive, and authoritative.

Evolutionary Theory

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Author : Sean H. Rice
Publisher : Sinauer Associates Incorporated
ISBN 13 : 9780878937028
Total Pages : 370 pages
Book Rating : 4.9/5 (37 download)

Book Synopsis Evolutionary Theory by : Sean H. Rice

Download or read book Evolutionary Theory written by Sean H. Rice and published by Sinauer Associates Incorporated. This book was released on 2004 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary Theory is for graduate students, researchers, and advanced undergraduates who want an understanding of the mathematical and biological reasoning that underlies evolutionary theory. The book covers all of the major theoretical approaches used to study the mechanics of evolution, including classical one- and two-locus models, diffusion theory, coalescent theory, quantitative genetics, and game theory. There are also chapters on theoretical approaches to the evolution of development and on multilevel selection theory. Each subject is illustrated by focusing on those results that have the greatest power to influence the way that we think about how evolution works. These major results are developed in detail, with many accompanying illustrations, showing exactly how they are derived and how the mathematics relates to the biological insights that they yield. In this way, the reader learns something of the actual machinery of different branches of theory while gaining a deeper understanding of the evolutionary process. Roughly half of the book focuses on gene-based models, the other half being concerned with general phenotype-based theory. Throughout, emphasis is placed on the fundamental relationships between the different branches of theory, illustrating how all of these branches are united by a few basic, universal, principles. The only mathematical background assumed is basic calculus. More advanced mathematical methods are explained, with the help of an extensive appendix, when they are needed.

The Mathematics of Darwin’s Legacy

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Author : Fabio A. C. C. Chalub
Publisher : Springer Science & Business Media
ISBN 13 : 303480122X
Total Pages : 296 pages
Book Rating : 4.0/5 (348 download)

Book Synopsis The Mathematics of Darwin’s Legacy by : Fabio A. C. C. Chalub

Download or read book The Mathematics of Darwin’s Legacy written by Fabio A. C. C. Chalub and published by Springer Science & Business Media. This book was released on 2011-06-24 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a general overview of mathematical models in the context of evolution. It covers a wide range of topics such as population genetics, population dynamics, speciation, adaptive dynamics, game theory, kin selection, and stochastic processes. Written by leading scientists working at the interface between evolutionary biology and mathematics the book is the outcome of a conference commemorating Charles Darwin's 200th birthday, and the 150th anniversary of the first publication of his book "On the origin of species". Its chapters vary in format between general introductory and state-of-the-art research texts in biomathematics, in this way addressing both students and researchers in mathematics, biology and related fields. Mathematicians looking for new problems as well as biologists looking for rigorous description of population dynamics will find this book fundamental.

Evolutionstheorie und Dynamische Systeme

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Author : Josef Hofbauer
Publisher :
ISBN 13 : 9780521352888
Total Pages : 341 pages
Book Rating : 4.3/5 (528 download)

Book Synopsis Evolutionstheorie und Dynamische Systeme by : Josef Hofbauer

Download or read book Evolutionstheorie und Dynamische Systeme written by Josef Hofbauer and published by . This book was released on 1988 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to dynamical systems and its applications to evolutionary game theory, mathematical ecology, and population genetics. This first English edition is a translation from the authors' successful German edition which has already made an enormous impact on the teaching and study of mathematical biology. The book's main theme is to discuss the solution of differential equations that arise from examples in evolutionary biology. Topics covered include the Hardy–Weinberg law, the Lotka–Volterra equations for ecological models, genetic evolution, aspects of sociobiology, and mutation and recombination. There are numerous examples and exercises throughout and the reader is led up to some of the most recent developments in the field. Thus the book will make an ideal introduction to the subject for graduate students in mathematics and biology coming to the subject for the first time. Research workers in evolutionary theory will also find much of interest here in the application of powerful mathematical techniques to the subject.

Reconstructing Evolution

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Author : Olivier Gascuel
Publisher : Oxford University Press
ISBN 13 : 0199208220
Total Pages : 349 pages
Book Rating : 4.1/5 (992 download)

Book Synopsis Reconstructing Evolution by : Olivier Gascuel

Download or read book Reconstructing Evolution written by Olivier Gascuel and published by Oxford University Press. This book was released on 2007-06-28 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book arises from the Mathematics of Evolution & Phylogenetics meeting at the Mathematical Institute Henri Poincare, Paris, in June 2005 and is based on ... reports presented by keynote speakers"--Back cover.

Mathematical Population Genetics 1

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Author : Warren J. Ewens
Publisher : Springer Science & Business Media
ISBN 13 : 038721822X
Total Pages : 435 pages
Book Rating : 4.3/5 (872 download)

Book Synopsis Mathematical Population Genetics 1 by : Warren J. Ewens

Download or read book Mathematical Population Genetics 1 written by Warren J. Ewens and published by Springer Science & Business Media. This book was released on 2012-10-01 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of a planned two-volume work discussing the mathematical aspects of population genetics with an emphasis on evolutionary theory. This volume draws heavily from the author’s 1979 classic, but it has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, such as the theory of molecular population genetics.

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

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

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

Mathematical Evolutionary Theory

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Author : Marcus W. Feldman
Publisher :
ISBN 13 : 9780608063201
Total Pages : 351 pages
Book Rating : 4.0/5 (632 download)

Book Synopsis Mathematical Evolutionary Theory by : Marcus W. Feldman

Download or read book Mathematical Evolutionary Theory written by Marcus W. Feldman and published by . This book was released on with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Population Genetics And Evolution Of Bacterial Cooperation

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Author : Volker Hosel
Publisher : World Scientific
ISBN 13 : 9811205515
Total Pages : 578 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis Mathematical Population Genetics And Evolution Of Bacterial Cooperation by : Volker Hosel

Download or read book Mathematical Population Genetics And Evolution Of Bacterial Cooperation written by Volker Hosel and published by World Scientific. This book was released on 2020-03-13 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social life of bacteria is in the focus of recent research. Bacteria are simple enough to be accessible by science, but still complex enough to show cooperation, division of labor, bet-hedging, cross-talk and synchronized activities, and a rich variety of social traits. A central question of evolutionary theory is the explanation why this social life did develop, and why these systems are evolutionary stable. This book introduces the reader into the theory of evolution, covering classical models and as well as recent developments. The theory developed is used to represent the up-to-date understanding of social bacteria.This book will be useful for students and lecturers interested in mathematical evolutionary theory, as well as for researchers as a reference.

Reconstructing Evolution

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Author : Olivier Gascuel
Publisher : OUP Oxford
ISBN 13 : 0191525987
Total Pages : 352 pages
Book Rating : 4.1/5 (915 download)

Book Synopsis Reconstructing Evolution by : Olivier Gascuel

Download or read book Reconstructing Evolution written by Olivier Gascuel and published by OUP Oxford. This book was released on 2007-06-28 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolution is a complex process, acting at multiple scales, from DNA sequences and proteins to populations of species. Understanding and reconstructing evolution is of major importance in numerous subfields of biology. For example, phylogenetics and sequence evolution is central to comparative genomics, attempts to decipher genomes, and molecular epidemiology. Phylogenetics is also the focal point of large-scale international biodiversity assessment initiatives such as the 'Tree of Life' project, which aims to build the evolutionary tree for all extant species. Since the pioneering work in phylogenetics in the 1960s, models have become increasingly sophisticated to account for the inherent complexity of evolution. They rely heavily on mathematics and aim at modelling and analyzing biological phenomena such as horizontal gene transfer, heterogeneity of mutation, and speciation and extinction processes. This book presents these recent models, their biological relevance, their mathematical basis, their properties, and the algorithms to infer them from data. A number of subfields from mathematics and computer science are involved: combinatorics, graph theory, stringology, probabilistic and Markov models, information theory, statistical inference, Monte Carlo methods, continuous and discrete algorithmics. This book arises from the Mathematics of Evolution & Phylogenetics meeting at the Mathematical Institute Henri Poincaré, Paris, in June 2005 and is based on the outstanding state-of-the-art reports presented by the conference speakers. Ten chapters - based around five themes - provide a detailed overview of key topics, from the underlying concepts to the latest results, some of which are at the forefront of current research.

Mathematical Models of Social Evolution

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Author : Richard McElreath
Publisher : University of Chicago Press
ISBN 13 : 0226558282
Total Pages : 430 pages
Book Rating : 4.2/5 (265 download)

Book Synopsis Mathematical Models of Social Evolution by : Richard McElreath

Download or read book Mathematical Models of Social Evolution written by Richard McElreath and published by University of Chicago Press. This book was released on 2008-09-15 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.

Evolutionary Dynamics

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Author : Martin A. Nowak
Publisher : Harvard University Press
ISBN 13 : 0674417755
Total Pages : 390 pages
Book Rating : 4.6/5 (744 download)

Book Synopsis Evolutionary Dynamics by : Martin A. Nowak

Download or read book Evolutionary Dynamics written by Martin A. Nowak and published by Harvard University Press. This book was released on 2006-09-29 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.

The Rise of Chance in Evolutionary Theory

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Author : Charles H. Pence
Publisher : Academic Press
ISBN 13 : 0323912923
Total Pages : 192 pages
Book Rating : 4.3/5 (239 download)

Book Synopsis The Rise of Chance in Evolutionary Theory by : Charles H. Pence

Download or read book The Rise of Chance in Evolutionary Theory written by Charles H. Pence and published by Academic Press. This book was released on 2021-11-25 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Rise of Chance in Evolutionary Theory: A Pompous Parade of Arithmetic explores a pivotal conceptual moment in the history of evolutionary theory: the development of its extensive reliance on a wide array of concepts of chance. It tells the history of a methodological and conceptual development that reshaped our approach to natural selection over a century, ranging from Darwin’s earliest notebooks in the 1830s to the early years of the Modern Synthesis in the 1930s. Far from being a “pompous parade of arithmetic, as one early critic argued, evolution transformed during this period to make these conceptual and technical tools indispensable. This book charts the role of chance in evolutionary theory from its beginnings to the earliest days of modern evolutionary theory, making it an ideal resource for evolutionary biologists, historians, philosophers, and researchers in science studies or biological statistics. Analyzes contributions of key historical figures and assesses how and why these “foundational conclusions were reached by original evolutionary biologists, including Darwin, Galton, Pearson, and more Describes the journey of the role of chance in evolutionary theory and illuminates our contemporary understanding Presents the historical narrative in a non-technical way, focusing on the conceptual structure of evolutionary theory

Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability

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Author : Lucien Marie Le Cam
Publisher : Univ of California Press
ISBN 13 : 9780520021884
Total Pages : 392 pages
Book Rating : 4.0/5 (218 download)

Book Synopsis Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability by : Lucien Marie Le Cam

Download or read book Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability written by Lucien Marie Le Cam and published by Univ of California Press. This book was released on 1972 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: