Publications - Published papers
Please find below publications of our group. Currently, we list 565 papers. Some of the publications are in collaboration with the group of Sonja Prohaska and are also listed in the publication list for her individual group. Access to published papers (
) is restricted to our local network and chosen collaborators.
If you have problems accessing electronic information, please let us know:
) is restricted to our local network and chosen collaborators.
If you have problems accessing electronic information, please let us know:©NOTICE: All papers are copyrighted by the authors; If you would like to use all or a portion of any paper, please contact the author.
Aggregation of Variables and System Decomposition: Applications to Fitness Landscape Analysis
Max Shpak, Peter F. Stadler, Günter P. Wagner, Joachim Hermisson
Download
Status: Published
Theory in Biosciences 123: 33-68 (2004)
Abstract
In this paper we present general results on aggregation of variables, specifically as it applies to decomposable (partitionable) dynamical systems. We show that a particular class of transition matrices, namely, those satisfying an equitable partitioning property, are aggregable under appropriate decomposition operators. It is also shown that equitable partitions have a natural application to the description of mutation-selection matrices (fitness landscapes) when their fitness functions have certain symmetries concordant with the neighborhood relationships in the underlying configuration space. We propose that the aggregate variable descriptions of mutation-selection systems offer a potential formal definition of units of selection and evolution.
Keywords
Fitness Landscapes, Aggregation of Variables, Decomposability, Mutation, Selection
Note
Alternative Numbers: SFI Preprint 03-04-025