Download Mathematical and Statistical Developments of Evolutionary Theory PDF

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Publisher : Springer
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ISBN 13: 9789401067171
Total Pages : 380 pages
Rating : 4.0/5 (671 users)

Read and Download S. Lessard book Mathematical and Statistical Developments of Evolutionary Theory in PDF, EPub, Mobi, Kindle online. Free book TMathematical and Statistical Developments of Evolutionary Theory. This book was released on 2011-10-22 with total page 380 pages. 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).

Download Mathematical and Statistical Developments of Evolutionary Theory PDF

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Publisher : Springer
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Total Pages : 363 pages
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Read and Download NATO Advanced Study Institute and Séminaire de mathématiques supérieures on Mathematical and Statistical Developments of Evolutionary Theory (1987 : Montréal, Quebec) book Mathematical and Statistical Developments of Evolutionary Theory in PDF, EPub, Mobi, Kindle online. Free book TMathematical and Statistical Developments of Evolutionary Theory. This book was released on 1990 with total page 363 pages. 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).

Download Mathematical and Statistical Developments of Evolutionary Theory PDF

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Publisher : Springer
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ISBN 13: 9780792305958
Total Pages : 384 pages
Rating : 4.3/5 (59 users)

Read and Download S. Lessard book Mathematical and Statistical Developments of Evolutionary Theory in PDF, EPub, Mobi, Kindle online. Free book TMathematical and Statistical Developments of Evolutionary Theory. This book was released on 1989-12-31 with total page 384 pages. 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).

Download Mathematical and Statistical Developments of Evolutionary Theory PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 9400905130
Total Pages : 380 pages
Rating : 4.4/5 (9 users)

Read and Download S. Lessard book Mathematical and Statistical Developments of Evolutionary Theory in PDF, EPub, Mobi, Kindle online. Free book TMathematical and Statistical Developments of Evolutionary Theory. This book was released on 2012-12-06 with total page 380 pages. 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).

Download Advances in Dynamic and Evolutionary Games PDF

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Publisher : Birkhäuser
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ISBN 13: 3319280147
Total Pages : 319 pages
Rating : 4.3/5 (192 users)

Read and Download Frank Thuijsman book Advances in Dynamic and Evolutionary Games in PDF, EPub, Mobi, Kindle online. Free book TAdvances in Dynamic and Evolutionary Games. This book was released on 2016-04-07 with total page 319 pages. Book excerpt: This contributed volume considers recent advances in dynamic games and their applications, based on presentations given at the 16th Symposium of the International Society of Dynamic Games, held July 9-12, 2014, in Amsterdam. Written by experts in their respective disciplines, these papers cover various aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. They discuss theoretical developments, algorithmic methods, issues relating to lack of information, and applications in areas such as biological or economical competition, stability in communication networks, and maintenance decisions in an electricity market, just to name a few. Advances in Dynamic and Evolutionary Games presents state-of-the-art research in a wide spectrum of areas. As such, it serves as a testament to the vitality and growth of the field of dynamic games and their applications. It will be of interest to an interdisciplinary audience of researchers, practitioners, and advanced graduate students.

Download Statistics in Molecular Biology and Genetics PDF

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Publisher : IMS
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ISBN 13: 9780940600478
Total Pages : 313 pages
Rating : 4.6/5 (4 users)

Read and Download Françoise Seillier-Moiseiwitsch book Statistics in Molecular Biology and Genetics in PDF, EPub, Mobi, Kindle online. Free book TStatistics in Molecular Biology and Genetics. This book was released on 1999 with total page 313 pages. Book excerpt:

Download Handbook of Statistical Genomics PDF

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Publisher : John Wiley & Sons
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ISBN 13: 1119429145
Total Pages : 1224 pages
Rating : 4.1/5 (194 users)

Read and Download David J. Balding book Handbook of Statistical Genomics in PDF, EPub, Mobi, Kindle online. Free book THandbook of Statistical Genomics. This book was released on 2019-09-16 with total page 1224 pages. 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.

Download Asymptotic Combinatorics with Applications to Mathematical Physics PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 3540403124
Total Pages : 250 pages
Rating : 4.5/5 (44 users)

Read and Download European Mathematical Summer School (2001 : St. Petersburg) book Asymptotic Combinatorics with Applications to Mathematical Physics in PDF, EPub, Mobi, Kindle online. Free book TAsymptotic Combinatorics with Applications to Mathematical Physics. This book was released on 2003 with total page 250 pages. Book excerpt: At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.

Download The Stability Concept of Evolutionary Game Theory PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 3642499813
Total Pages : 129 pages
Rating : 4.6/5 (424 users)

Read and Download Ross Cressman book The Stability Concept of Evolutionary Game Theory in PDF, EPub, Mobi, Kindle online. Free book TThe Stability Concept of Evolutionary Game Theory. This book was released on 2013-03-09 with total page 129 pages. Book excerpt: These Notes grew from my research in evolutionary biology, specifically on the theory of evolutionarily stable strategies (ESS theory), over the past ten years. Personally, evolutionary game theory has given me the opportunity to transfer my enthusiasm for abstract mathematics to more practical pursuits. I was fortunate to have entered this field in its infancy when many biologists recognized its potential but were not prepared to grant it general acceptance. This is no longer the case. ESS theory is now a rapidly expanding (in both applied and theoretical directions) force that no evolutionary biologist can afford to ignore. Perhaps, to continue the life-cycle metaphor, ESS theory is now in its late adolescence and displays much of the optimism and exuberance of this exciting age. There are dangers in writing a text about a theory at this stage of development. A comprehensive treatment would involve too many loose ends for the reader to appreciate the central message. On the other hand, the current central message may soon become obsolete as the theory matures. Although the restricted topics I have chosen for this text reflect my own research bias, I am confident they will remain the theoretical basis of ESS theory. Indeed, I feel the adult maturity of ESS theory is close at hand and I hope the text will play an important role in this achievement.

Download Encyclopedia of Evolutionary Biology PDF

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Publisher : Academic Press
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ISBN 13: 0128004266
Total Pages : 2132 pages
Rating : 4.1/5 (28 users)

Read and Download book Encyclopedia of Evolutionary Biology in PDF, EPub, Mobi, Kindle online. Free book TEncyclopedia of Evolutionary Biology. This book was released on 2016-04-14 with total page 2132 pages. Book excerpt: Encyclopedia of Evolutionary Biology is the definitive go-to reference in the field of evolutionary biology. It provides a fully comprehensive review of the field in an easy to search structure. Under the collective leadership of fifteen distinguished section editors, it is comprised of articles written by leading experts in the field, providing a full review of the current status of each topic. The articles are up-to-date and fully illustrated with in-text references that allow readers to easily access primary literature. While all entries are authoritative and valuable to those with advanced understanding of evolutionary biology, they are also intended to be accessible to both advanced undergraduate and graduate students. Broad topics include the history of evolutionary biology, population genetics, quantitative genetics; speciation, life history evolution, evolution of sex and mating systems, evolutionary biogeography, evolutionary developmental biology, molecular and genome evolution, coevolution, phylogenetic methods, microbial evolution, diversification of plants and fungi, diversification of animals, and applied evolution. Presents fully comprehensive content, allowing easy access to fundamental information and links to primary research Contains concise articles by leading experts in the field that ensures current coverage of each topic Provides ancillary learning tools like tables, illustrations, and multimedia features to assist with the comprehension process

Download Mathematical Structures of Epidemic Systems PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 3540565264
Total Pages : 283 pages
Rating : 4.5/5 (45 users)

Read and Download Vincenzo Capasso book Mathematical Structures of Epidemic Systems in PDF, EPub, Mobi, Kindle online. Free book TMathematical Structures of Epidemic Systems. This book was released on 2008-08-06 with total page 283 pages. Book excerpt: The dynamics of infectious diseases represents one of the oldest and ri- est areas of mathematical biology. From the classical work of Hamer (1906) and Ross (1911) to the spate of more modern developments associated with Anderson and May, Dietz, Hethcote, Castillo-Chavez and others, the subject has grown dramatically both in volume and in importance. Given the pace of development, the subject has become more and more di?use, and the need to provide a framework for organizing the diversity of mathematical approaches has become clear. Enzo Capasso, who has been a major contributor to the mathematical theory, has done that in the present volume, providing a system for organizing and analyzing a wide range of models, depending on the str- ture of the interaction matrix. The ?rst class, the quasi-monotone or positive feedback systems, can be analyzed e?ectively through the use of comparison theorems, that is the theory of order-preserving dynamical systems; the s- ond, the skew-symmetrizable systems, rely on Lyapunov methods. Capasso develops the general mathematical theory, and considers a broad range of - amples that can be treated within one or the other framework. In so doing, he has provided the ?rst steps towards the uni?cation of the subject, and made an invaluable contribution to the Lecture Notes in Biomathematics. Simon A. Levin Princeton, January 1993 Author’s Preface to Second Printing In the Preface to the First Printing of this volume I wrote: \ . .

Download Game-Theoretical Models in Biology PDF

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Publisher : CRC Press
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ISBN 13: 1000623726
Total Pages : 622 pages
Rating : 4.0/5 (6 users)

Read and Download Mark Broom book Game-Theoretical Models in Biology in PDF, EPub, Mobi, Kindle online. Free book TGame-Theoretical Models in Biology. This book was released on 2022-08-03 with total page 622 pages. Book excerpt: Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology, Second Edition presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use Python to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behaviour, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modelling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modelling of these diverse biological phenomena. In this thoroughly revised new edition, the authors have added three new chapters on the evolution of structured populations, biological signalling games, and a topical new chapter on evolutionary models of cancer. There are also new sections on games with time constraints that convert simple games to potentially complex nonlinear ones; new models on extortion strategies for the Iterated Prisoner’s Dilemma and on social dilemmas; and on evolutionary models of vaccination, a timely section given the current Covid pandemic. Features Presents a wide range of biological applications of game theory. Suitable for researchers and professionals in mathematical biology and the life sciences, and as a text for postgraduate courses in mathematical biology. Provides numerous examples, exercises, and Python code.

Download Information Geometry PDF

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Publisher : Springer
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ISBN 13: 3319564781
Total Pages : 407 pages
Rating : 4.3/5 (195 users)

Read and Download Nihat Ay book Information Geometry in PDF, EPub, Mobi, Kindle online. Free book TInformation Geometry. This book was released on 2017-08-25 with total page 407 pages. Book excerpt: The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including the Fisher metric and the Amari-Chentsov tensor, and embeddings of statistical manifolds are investigated. This novel foundation then leads to application highlights, such as generalizations and extensions of the classical uniqueness result of Chentsov or the Cramér-Rao inequality. Additionally, several new application fields of information geometry are highlighted, for instance hierarchical and graphical models, complexity theory, population genetics, or Markov Chain Monte Carlo. The book will be of interest to mathematicians who are interested in geometry, information theory, or the foundations of statistics, to statisticians as well as to scientists interested in the mathematical foundations of complex systems.

Download Evolutionary Game Theory PDF

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Publisher : MIT Press
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ISBN 13: 9780262731218
Total Pages : 265 pages
Rating : 4.7/5 (312 users)

Read and Download Jörgen W. Weibull book Evolutionary Game Theory in PDF, EPub, Mobi, Kindle online. Free book TEvolutionary Game Theory. This book was released on 1997 with total page 265 pages. Book excerpt: Introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. This text introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fast-moving field that is itself branching out and rapidly evolving, Jörgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an up-to-date, comprehensive, and self-contained treatment. The result is a text for second-year graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by Maynard-Smith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics.

Download Statistics Based on Dirichlet Processes and Related Topics PDF

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Publisher : Springer Nature
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ISBN 13: 9811569754
Total Pages : 74 pages
Rating : 4.8/5 (115 users)

Read and Download Hajime Yamato book Statistics Based on Dirichlet Processes and Related Topics in PDF, EPub, Mobi, Kindle online. Free book TStatistics Based on Dirichlet Processes and Related Topics. This book was released on 2020-07-17 with total page 74 pages. Book excerpt: This book focuses on the properties associated with the Dirichlet process, describing its use a priori for nonparametric inference and the Bayes estimate to obtain limits for the estimable parameter. It presents the limits and the well-known U- and V-statistics as a convex combination of U-statistics, and by investigating this convex combination, it demonstrates these three statistics. Next, the book notes that the Dirichlet process gives the discrete distribution with probability one, even if the parameter of the process is continuous. Therefore, there are duplications among the sample from the distribution, which are discussed. Because sampling from the Dirichlet process is described sequentially, it can be described equivalently by the Chinese restaurant process. Using this process, the Donnelly–Tavaré–Griffiths formulas I and II are obtained, both of which give the Ewens’ sampling formula. The book then shows the convergence and approximation of the distribution for its number of distinct components. Lastly, it explains the interesting properties of the Griffiths–Engen–McCloskey distribution, which is related to the Dirichlet process and the Ewens’ sampling formula.

Download Philosophy of Evolutionary Biology PDF

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Publisher : Routledge
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ISBN 13: 135191135X
Total Pages : 616 pages
Rating : 4.3/5 (519 users)

Read and Download Stefan Linquist book Philosophy of Evolutionary Biology in PDF, EPub, Mobi, Kindle online. Free book TPhilosophy of Evolutionary Biology. This book was released on 2017-03-02 with total page 616 pages. Book excerpt: The impact of evolutionary theory on the philosophy of science has been no less profound than its impact on the science of biology itself. Advances in this theory provide a rich set of examples for thinking about the nature of scientific explanation and the structure of science. Many of the developments in our understanding of evolution resulted from contributions by both philosophers and biologists engaging over theoretical questions of mutual interest. This volume traces some of the most influential exchanges in this field over the last few decades. Focal topics include the nature of biological functions, adaptationism as an explanatory and methodological doctrine, the levels of selection debate, the concepts of fitness and drift, and the relationship of evolutionary to developmental biology.

Download Ecological Time Series PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 1461517699
Total Pages : 494 pages
Rating : 4.4/5 (615 users)

Read and Download Thomas M. Powell book Ecological Time Series in PDF, EPub, Mobi, Kindle online. Free book TEcological Time Series. This book was released on 2012-12-06 with total page 494 pages. Book excerpt: This book results from a summer school held at Cornell University in 1992. The participants were graduate students and postdoctoral researchers selected from a broad range of interests and backgrounds in ecological studies. The summer school was the second in a continuing series whose underlying aim and the aim of this volume-is to bring together the different methods and concepts underpinning terrestrial, freshwater, and marine ecology. The first volume in the series focused on patch dynamics in these three ecologi cal sectors. Here we have endeavored to complement that volume by extending its comparative approach to the consideration of ecological time series. The types of data and the methods of collection are necessarily very different in these contrasting environments, yet the underlying concept and the technical problems of analysis have much in common. It proved to be of great interest and value to the summer school participants to see the differences and then work through to an appreciation ofthe generalizable concepts. We believe that such an approach must have value as well for a much larger audience, and we have structured this volume to provide a comparable reading experience.