Modèles aléatoires en Ecologie et Evolution: Mathématiques et Applications, cartea 77
Autor Sylvie Méléardfr Limba Franceză Paperback – 9 mai 2016
This book defines and develops probabilistic tools forthe modeling of populations in order to describe the dynamics of biologicalquantities such as population size, allele proportion in a population and individual location. Fromdiscrete Markovian models (random walks, Galton-Watson processes), it gradually introduces thestochastic calculus and the stochastic differential equations, as well as the jump Markov processes,such as the branching processes in continuous time and the birth and deathprocesses. It also discussesthe discrete and continuous processes of genetic evolution, genealogies and the Wright-Fisher processes andcoalescent. The book systematically detailsthe computation of quantities of interest to biologists and provides a number ofexercises. The last chapter shows the use of probabilistic tools for real-world biologicalproblems, and discusses recentresearch in detail.
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Specificații
ISBN-13: 9783662494547
ISBN-10: 366249454X
Pagini: 267
Ilustrații: XII, 267 p. 15 ill.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.4 kg
Ediția:1ère éd. 2016
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Mathématiques et Applications
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 366249454X
Pagini: 267
Ilustrații: XII, 267 p. 15 ill.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.4 kg
Ediția:1ère éd. 2016
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Mathématiques et Applications
Locul publicării:Berlin, Heidelberg, Germany
Cuprins
Introduction.- Populations spatiales et temps discret.- Dynamique de population en temps discret.- Mouvement brownien et processus de diffusion.- Processus de population en temps continu.- Processus d’évolution génétique.- Quelques développements modernes en Ecologie-Evolution.
Textul de pe ultima copertă
Le but du livre est de définir et développer une grande gamme d'outils probabilistes pour la modélisation en biologie des populations, afin de décrire des dynamiques temporelles de quantités biologiques telles que la taille d'une ou plusieurs populations, la proportion d'un allèle dans une population ou la position d'un individu. En partant de modèles markoviens discrets (marches aléatoires, processus de Galton-Watson), nous abordons progressivement le calcul stochastique et les équations différentielles stochastiques, puis les processus markoviens de saut, tels les processus de branchement à temps continu et les processus de naissance et mort. Nous étudions également les processus discret et continu pour l'évolution génétique et les généalogies: processus de Wright-Fisher et coalescent. Le livre détaille systématiquement les calculs de quantités d'intérêt pour les biologistes. De nombreux exercices d'application sont proposés. Le dernier chapitre montre l'apport de ces outils pour des problématiques biologiques actuelles. Il développe en détail des travaux de recherche très récents.
Random Models in Ecology and Evolution
This book defines and develops probabilistic tools for the modeling of populations in order to describe the dynamics of biological quantities such as population size, allele proportion in a population and individual location. From discrete Markovian models (random walks, Galton-Watson processes), it gradually introduces the stochastic calculus and the stochastic differential equations, as well as the jump Markov processes, such as the branching processes in continuous time and the birth and death processes. It also discusses the discrete and continuous processes of genetic evolution, genealogies and the Wright-Fisher processes and coalescent. The book systematically details the computation of quantities of interest to biologists and provides a number of exercises. The last chapter shows the use of probabilistic tools for real-world biological problems, and discusses recent research in detail.
This book defines and develops probabilistic tools for the modeling of populations in order to describe the dynamics of biological quantities such as population size, allele proportion in a population and individual location. From discrete Markovian models (random walks, Galton-Watson processes), it gradually introduces the stochastic calculus and the stochastic differential equations, as well as the jump Markov processes, such as the branching processes in continuous time and the birth and death processes. It also discusses the discrete and continuous processes of genetic evolution, genealogies and the Wright-Fisher processes and coalescent. The book systematically details the computation of quantities of interest to biologists and provides a number of exercises. The last chapter shows the use of probabilistic tools for real-world biological problems, and discusses recent research in detail.
Caracteristici
Les principaux outils probabilistes pour la modélisation en écologie et évolution Une grande rigueur mathématique et des exercices d'applications Beaucoup d'information quantitative, avec des calculs détaillés, pouvant être utilisés pour développer des interactions avec les biologistes Une ouverture vers des problématiques biologiques d'actualité Une rédaction claire et détaillée qui introduit avec progression et un grand effort de simplicité des objets mathématiques difficiles Includes supplementary material: sn.pub/extras