The fastest evolutionary trajectory

Arne Traulsen, Yoh Iwasa, Martin A. Nowak

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)617-623
Number of pages7
JournalJournal of Theoretical Biology
Volume249
Issue number3
DOIs
Publication statusPublished - Dec 7 2007

Fingerprint

Mutation Rate
trajectories
Mutation
Trajectories
Fitness Landscape
Trajectory
mutation
Exponential functions
Mutant
Fitness
Consecutive
Deviation
Population
mutants

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

The fastest evolutionary trajectory. / Traulsen, Arne; Iwasa, Yoh; Nowak, Martin A.

In: Journal of Theoretical Biology, Vol. 249, No. 3, 07.12.2007, p. 617-623.

Research output: Contribution to journalArticle

Traulsen, A, Iwasa, Y & Nowak, MA 2007, 'The fastest evolutionary trajectory', Journal of Theoretical Biology, vol. 249, no. 3, pp. 617-623. https://doi.org/10.1016/j.jtbi.2007.08.012
Traulsen, Arne ; Iwasa, Yoh ; Nowak, Martin A. / The fastest evolutionary trajectory. In: Journal of Theoretical Biology. 2007 ; Vol. 249, No. 3. pp. 617-623.
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