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Simon-Ando Decomposability and Fitness Landscapes
 

Summary: Simon-Ando Decomposability and
Fitness Landscapes
Max Shpak, Department of Ecology and Evolutionary Biology, Yale University, New Haven, CT
06520-8106, USA
Peter Stadler, Institute of Bioinformatics, University of Leipzig,Kreuzstrasse 7b,D-04103, Leipzig,Ger-
many
Gunter P.Wagner, Department of Ecology and Evolutionary Biology, Yale University, New Haven, CT
06520-8106, USA
Lee Altenberg, Department of Information and Computer Sciences, University of Hawaii, Manoa HI
96753, USA
SimonAndoEdit.nb 1
Abstract
In this paper, we investigate fitness landscapes (under point mutation and recombination) from the
standpoint of whether the induced evolutionary dynamics have a "fast-slow" time scale associated with
the differences in relaxation time between local quasi-equilibria and the global equilibrium. This
dynamical behavior has been formally described in the econometrics literature in terms of the spectral
properties of the appropriate operator matrices by Simon and Ando (1961), and we use the relations
they derive to ask which fitness functions and mutation/recombination operators satisfy these proper-
ties. It turns out that quite a wide range of landscapes satisfy the condition (at least trivially) under
point mutation given a sufficiently low mutation rate, while the property appears to be difficult to

  

Source: Altenberg, Lee - Department of Information and Computer Science, University of Hawai'i at Manoa
Stadler, Peter F. - Institut für Informatik, Universität Leipzig

 

Collections: Biology and Medicine; Computer Technologies and Information Sciences