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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4990 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4990 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4990 archive 351 disk0/00/00/73/67 2016-01-15 02:16:55 2021-08-27 17:18:44 2016-01-15 02:16:55 monograph show 3 Rueffler C. Van Dooren T.J.M. Metz J.A.J. 7506 pub iis_ecl prog_adn Adaptive dynamics; Fitness landscape; Frequency-dependent selection; Invasion fitness; Life-history evolution; Trade-off The assumption that trade-offs exist is fundamental in evolutionary theory. Levins (Am. Nat. 96 (1962) 361-372) introduced a widely adopted graphical method for analyzing evolution towards an optimal combination of two quantitative traits, which are traded off. His approach explicitly excluded the possibility of density- and frequency-dependent selection. Here we extend Levins method towards models, which include these selection regimes and where therefore fitness landscapes change with population state. We employ the same kind of curves Levins used: trade-off curves and fitness contours. However, fitness contours are not fixed but a function of the resident traits and we only consider those that divide the trait space into potentially successful mutants and mutants which are not able to invade ('invasion boundaries'). The developed approach allows to make a priori predictions about evolutionary endpoints and about their bifurcations. This is illustrated by applying the approach to several examples from the recent literature. 2004-12 published IR-04-083 IR-04-083 206 public interim_report IIASA, Laxenburg, Austria 51 FALSE info:eu-repo/semantics/book