LEADER 04801nam 2200697 a 450 001 9910454921003321 005 20200520144314.0 010 $a1-282-15847-3 010 $a9786612158476 010 $a1-4008-2834-1 024 7 $a10.1515/9781400828340 035 $a(CKB)1000000000804110 035 $a(EBL)457731 035 $a(OCoLC)434575356 035 $a(SSID)ssj0000288742 035 $a(PQKBManifestationID)11238075 035 $a(PQKBTitleCode)TC0000288742 035 $a(PQKBWorkID)10382303 035 $a(PQKB)11155397 035 $a(MiAaPQ)EBC457731 035 $a(MdBmJHUP)muse36488 035 $a(DE-B1597)446991 035 $a(OCoLC)979578961 035 $a(DE-B1597)9781400828340 035 $a(PPN)170257886 035 $a(Au-PeEL)EBL457731 035 $a(CaPaEBR)ebr10312455 035 $a(CaONFJC)MIL215847 035 $a(EXLCZ)991000000000804110 100 $a20071009d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalysis of evolutionary processes$b[electronic resource] $ethe adaptive dynamics approach and its applications /$fFabio Dercole, Sergio Rinaldi 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$dc2008 215 $a1 online resource (352 p.) 225 1 $aPrinceton series in theoretical and computational biology 300 $aDescription based upon print version of record. 311 $a0-691-12006-4 320 $aIncludes bibliographical references (p. [287]-323) and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter 1. Introduction to Evolutionary Processes -- $tChapter 2. Modeling Approaches -- $tChapter 3. The Canonical Equation of Adaptive Dynamics -- $tChapter 4. Evolutionary Branching and the Origin of Diversity -- $tChapter 5. Multiple Attractors and Cyclic Evolutionary Regimes -- $tChapter 6. Catastrophes of Evolutionary Regimes -- $tChapter 7. Branching-Extinction Evolutionary Cycles -- $tChapter 8. Demographic Bistability and Evolutionary Reversals -- $tChapter 9. Slow-Fast Populations Dynamics and Evolutionary Ridges -- $tChapter 10. The First Example of Evolutionary Chaos -- $tAppendix A. Second-order Dynamical Systems and Their Bifurcations -- $tAppendix B. The Invasion Implies Substitution Theorem -- $tAppendix C. The Probability of Escaping Accidental Extinction -- $tAppendix D. The Branching Conditions -- $tBibliography -- $tIndex 330 $aQuantitative approaches to evolutionary biology traditionally consider evolutionary change in isolation from an important pressure in natural selection: the demography of coevolving populations. In Analysis of Evolutionary Processes, Fabio Dercole and Sergio Rinaldi have written the first comprehensive book on Adaptive Dynamics (AD), a quantitative modeling approach that explicitly links evolutionary changes to demographic ones. The book shows how the so-called AD canonical equation can answer questions of paramount interest in biology, engineering, and the social sciences, especially economics. After introducing the basics of evolutionary processes and classifying available modeling approaches, Dercole and Rinaldi give a detailed presentation of the derivation of the AD canonical equation, an ordinary differential equation that focuses on evolutionary processes driven by rare and small innovations. The authors then look at important features of evolutionary dynamics as viewed through the lens of AD. They present their discovery of the first chaotic evolutionary attractor, which calls into question the common view that coevolution produces exquisitely harmonious adaptations between species. And, opening up potential new lines of research by providing the first application of AD to economics, they show how AD can explain the emergence of technological variety. Analysis of Evolutionary Processes will interest anyone looking for a self-contained treatment of AD for self-study or teaching, including graduate students and researchers in mathematical and theoretical biology, applied mathematics, and theoretical economics. 410 0$aPrinceton series in theoretical and computational biology. 606 $aEvolution (Biology)$xMathematical models 606 $aPopulation biology$xMathematical models 608 $aElectronic books. 615 0$aEvolution (Biology)$xMathematical models. 615 0$aPopulation biology$xMathematical models. 676 $a576.8015118 700 $aDercole$b Fabio$01046050 701 $aRinaldi$b S$g(Sergio),$f1940-$0447727 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910454921003321 996 $aAnalysis of evolutionary processes$92472718 997 $aUNINA