Adaptive Dynamics: Some Basic Theory and an Application

11767 11 31841 2 44921 document 31841 S3-07 Adaptive Dynamics_Some Basic Theory and an Application.pdf application/pdf bed07b853634b58c713ffb29480b35d5 MD5 830999 2016-01-19 13:24:18 https://pure.iiasa.ac.at/id/eprint/11767/1/S3-07%20Adaptive%20Dynamics_Some%20Basic%20Theory%20and%20an%20Application.pdf 11767 1 1 application/pdf text en public cc_by_nc_sa

S3-07 Adaptive Dynamics_Some Basic Theory and an Application.pdf

published 31855 1 44967 document 31855 indexcodes.txt text/x-pascal 9090e1b979a75c2d9fcd5d74a569ff36 MD5 1616 2016-01-19 13:34:10 https://pure.iiasa.ac.at/id/eprint/11767/2/indexcodes.txt 11767 2 2 text/x-pascal other Generate index codes conversion from text to indexcodes en public

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/31841 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/31841 http://eprints.org/relation/issmallThumbnailVersionOf https://pure.iiasa.ac.at/id/document/31841 archive 2 disk0/00/01/17/67 2016-01-19 13:25:18 2023-06-14 13:23:47 2016-01-19 13:25:18 conference_item show 1 Metz J.A.J. 7506 Adaptive Dynamics: Some Basic Theory and an Application pub prog_eep The theory of structured populations is a mathematical framework for developing and analyzing ecological models that can take account of relatively realistic detail at the level of individual organisms. This framework in turn has given rise to the theory of adaptive dynamics, a versatile framework for dealing with the evolution of the adaptable traits of individuals through repeated mutant substitutions directed by ecologically driven selection. The step from the former to the latter theory is possible thanks to effective procedures for calculating the expected rate of invasion of mutants with altered trait values into a community the dynamics of which has relaxed to an attractor. The mathematical underpinning is through a sequence of limit theorems starting from individual-based stochastic processes and culminating in (i) a differential equation for long-term trait evolution and (ii) various geometrical tools for classifying the evolutionary singular points such as Evolutionarily Steady Strategies, where evolution gets trapped, and branching points, where an initially quasi-monomorphic population starts to diversify. Traits that have been studied using adaptive dynamics tools are, among others, the virulence of infectious diseases and various other sorts of life-history parameters such as age at maturation. As one example, adaptive dynamics models of respiratory diseases tell that such diseases will evolve towards the upper air passages and hence towards lesser virulence, while at the same time diversifying as a result of limited cross-immunity. Since the upper airways offer the largest scope for disease persistence, they also allow for the largest disease diversification. Moreover, the upward evolution brings with it a tendency for vacating the lower reaches, which leads to the prediction that emerging respiratory diseases will tend to act low and therefore be both unusually virulent and not overly infective. 2015-11 published 206 public poster Systems Analysis 2015 - A Conference in Celebration of Howard Raiffa Laxenburg, Austria 11 -13 November, 2015 conference FALSE FALSE info:eu-repo/semantics/conferenceObject