Stochastic Models in Population Genetics

Stochastic Models in Population Genetics

Author: Wen-Hsiung Li

Publisher: Hutchinson Ross Publishing Company

Published: 1977

Total Pages: 504

ISBN-13:

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Pioneering works; Clasical single-locus problems; Molecular population genetics; Multilocus problems; Structured populations; Methematical problems.


The Foundations of Population Genetics

The Foundations of Population Genetics

Author: Daniel M. Weinreich

Publisher: MIT Press

Published: 2023-08-29

Total Pages: 255

ISBN-13: 0262047578

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An accessible but rigorous treatment of the theoretical foundations of population genetics. Population genetics—the branch of evolutionary biology concerned with understanding how and why populations’ genetic compositions change over time—rests on a well-developed theoretical foundation that draws on genetics, mathematics, and computer science. This textbook provides an approachable but rigorous treatment for advanced undergraduate and graduate students interested in building a quantitative understanding of the genetics of evolution. Existing texts either assume very mathematically advanced readers, or avoid much of the underlying theory, instead focusing on current methods of data analysis. In contrast, The Foundations of Population Genetics develops the theory from first principles. Requiring only confidence in algebra, this self-contained, student-friendly book illustrates the conceptual framework, terminology, and methods of mathematical modeling. It progressively introduces concepts from genetics as needed, while emphasizing biological implications throughout. As a result, readers come away with a deep understanding of the structure of population genetics without needing to master its mathematics. Connects theory with the most recent genetic data better than existing texts Features engaging real-world examples and extensive original figures Provides dozens of carefully scaffolded questions that deepen the reader's understanding of key concepts Ideal as a succinct reference for established scientists in biology, medicine, and computer science Instructor resources available


Recombination Variability and Evolution

Recombination Variability and Evolution

Author: A.B. Korol

Publisher: Springer Science & Business Media

Published: 1994-08-31

Total Pages: 384

ISBN-13: 9780412494109

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Using an interdisciplinary approach, the authors provide an adaptionist interpretation of the basic features of recombination, its evolutionary significance as a key process in reproduction and its importance in genetic mapping. The book synthesizes much recent information in the fields of evloutionary genetics of recombination, the analysis of genetic markers and breeding applications. The authors analyse recombination through a consideration of computer models, large Drosophila populations and an empirical approach to current theories. Practically-orientated readers will be interested in the discussion of a wide spectrum of mapping methods and the new algorithms proposed for genetic mapping of quantitative loci.


Game Equilibrium Models I

Game Equilibrium Models I

Author: Reinhard Selten

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 338

ISBN-13: 3662026740

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There are two main approaches towards the phenotypic analysis of frequency dependent natural selection. First, there is the approach of evolutionary game theory, which was introduced in 1973 by John Maynard Smith and George R. Price. In this theory, the dynamical process of natural selection is not modeled explicitly. Instead, the selective forces acting within a population are represented by a fitness function, which is then analysed according to the concept of an evolutionarily stable strategy or ESS. Later on, the static approach of evolutionary game theory has been complemented by a dynamic stability analysis of the replicator equations. Introduced by Peter D. Taylor and Leo B. Jonker in 1978, these equations specify a class of dynamical systems, which provide a simple dynamic description of a selection process. Usually, the investigation of the replicator dynamics centers around a stability analysis of their stationary solutions. Although evolutionary stability and dynamic stability both intend to characterize the long-term outcome of frequency dependent selection, these concepts differ considerably in the 'philosophies' on which they are based. It is therefore not too surprising that they often lead to quite different evolutionary predictions (see, e. g. , Weissing 1983). The present paper intends to illustrate the incongruities between the two approaches towards a phenotypic theory of natural selection. A detailed game theoretical and dynamical analysis is given for a generic class of evolutionary normal form games.


The Philosophy of Science

The Philosophy of Science

Author: Sahotra Sarkar

Publisher: Psychology Press

Published: 2006

Total Pages: 1012

ISBN-13: 0415939275

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The first in-depth reference to the field that combines scientific knowledge with philosophical inquiry, this encyclopedia brings together a team of leading scholars to provide nearly 150 entries on the essential concepts in the philosophy of science. The areas covered include biology, chemistry, epistemology and metaphysics, physics, psychology and mind, the social sciences, and key figures in the combined studies of science and philosophy. (Midwest).


Population Genetics of Multiple Loci

Population Genetics of Multiple Loci

Author: Freddy B. Christiansen

Publisher:

Published: 2000-01-10

Total Pages: 392

ISBN-13:

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Population Genetics of Multiple Loci F. B. Christiansen University of Aarhus, Denmark "This is a very beautiful and powerful study of an area that Christiansen has dominated for many years." - Marcus Feldman, Stanford University, USA Population genetics thrives on the constant interaction between theoretical and empirical knowledge. In the first instance, population genetics was developed using one-locus, two-allele models for genetic variation. The simplicity of these models opened up theoretical developments in population and evolutionary genetics to biologists without specialist training in mathematics. Population genetics of multi-allelic loci is more complex and requires more mathematical insight, and its study is predominantly undertaken by mathematical biologists. Traditional formulations of multi-locus theory do not simplify by assuming two alleles per locus. In this elegant presentation the author provides a formulation of multi-locus population genetics that retains the simplicity of two-allele models. * Provides an accessible and natural extension of classical population genetics to multiple loci * Exposes the population genetic aspects of sexual reproduction * Describes the complexity of evolutionary interactions among genes * Provides the background for insight into the functioning of genetic algorithms applied in computer science * Written by a world leader in the field The book is divided into two main sections. Part I - Recombination and Segregation - includes coverage of random mating, inbreeding, migration and mixing. Part II - Selection - covers numerous phenomena involving natural selection including viability, fertility, mutation and migration. The author has successfully presented the theory in a way that is intelligible to anyone with a reasonably good background in basic mathematics and is devoted to learning multiple loci population genetics. The text is primarily aimed at advanced undergraduate and postgraduate students and researchers interested in genetics and population biology. It is also essential reading for those working or researching in biomathematics and adaptive computing.


Handbook of Statistical Genomics

Handbook of Statistical Genomics

Author: David J. Balding

Publisher: John Wiley & Sons

Published: 2019-07-09

Total Pages: 1828

ISBN-13: 1119429250

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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.