The Resource Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)
Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)
Resource Information
The item Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 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 AixMarseille 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 ParisSud
 Language
 eng
 Extent
 1 online resource (viii, 125 pages)
 Contents

 Introduction
 Branching Processes
 Convergence to a Continuous State Branching Process
 Continuous State Branching Process (CSBP)
 Genealogies
 Models of Finite Population with Interaction
 Convergence to a Continuous State Model
 Continuous Model with Interaction
 Appendix
 Isbn
 9783319303284
 Label
 Probabilistic models of population evolution : scaling limits, genealogies and interactions
 Title
 Probabilistic models of population evolution
 Title remainder
 scaling limits, genealogies and interactions
 Statement of responsibility
 Étienne Pardoux
 Language
 eng
 Summary
 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 AixMarseille 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 ParisSud
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1947
 http://library.link/vocab/creatorName
 Pardoux, E.
 Dewey number
 519.2/34
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA274.76
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Mathematical Biosciences Institute lecture series, Stochastics in biological systems
 http://library.link/vocab/subjectName
 Branching processes
 Label
 Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Branching Processes  Convergence to a Continuous State Branching Process  Continuous State Branching Process (CSBP)  Genealogies  Models of Finite Population with Interaction  Convergence to a Continuous State Model  Continuous Model with Interaction  Appendix
 Control code
 SPR952465371
 Dimensions
 unknown
 Extent
 1 online resource (viii, 125 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319303284
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319303284
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 Label
 Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Branching Processes  Convergence to a Continuous State Branching Process  Continuous State Branching Process (CSBP)  Genealogies  Models of Finite Population with Interaction  Convergence to a Continuous State Model  Continuous Model with Interaction  Appendix
 Control code
 SPR952465371
 Dimensions
 unknown
 Extent
 1 online resource (viii, 125 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319303284
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319303284
 Other physical details
 illustrations (some color).
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Probabilisticmodelsofpopulationevolution/zL99y68q0fY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Probabilisticmodelsofpopulationevolution/zL99y68q0fY/">Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>