The Fastest Evolutionary Trajectory
| Title: | The Fastest Evolutionary Trajectory |
| Author: |
Traulsen, Arne; Iwasa, Yoh; Nowak, Martin A.
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Traulsen, Arne, Yoh Iwasa, and Martin A. Nowak. 2007. The fastest evolutionary trajectory. Journal of Theoretical Biology 249(3): 617-623. |
| Full Text & Related Files: |
Nowak_EvolutionaryTrajectory.pdf (1.115Mb; PDF) 
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| Abstract: | Given two mutants, A and B, separated by n mutational steps, what is the evolutionary trajectory which allows a homogeneous population of A to reach B in the shortest time? We show that the optimum evolutionary trajectory (fitness landscape) has the property that the relative fitness increase between any two consecutive steps is constant. Hence, the optimum fitness landscape between A and B is given by an exponential function. Our result is precise for small mutation rates and excluding back mutations. We discuss deviations for large mutation rates and including back mutations. For very large mutation rates, the optimum fitness landscape is flat and has a single peak at type B. |
| Published Version: | doi:10.1016/j.jtbi.2007.08.012 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:4063693 |
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Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
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