Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2012-01-13
Biology
Quantitative Biology
Populations and Evolution
Substantial revision to try and make paper more interesting to biologists. Now includes material on the Knight-Darwin Law from
Scientific paper
In their paper, Andreas Dress, Vincent Moulton, Mike Steel, and Taoyang Wu introduced a directed graph that describes the ancestral relations between all organisms that have ever lived. We extend that graph to also include all organisms that ever will live, and operate under the assumption it is infinite. This assumption admits certain clusters of organisms which have some ideal theoretical properties of species. In some sense, these clusters are unavoidable because they are a natural resolution to species sorites paradoxes. This species notion is not practical for the field, but it has rich mathematical properties and primary goal of the paper is to submit these as a novel new response to Bernd Stermfels' question, "Can biology lead to new theorems"? One of these properties is a dualization of a law of Thomas A. Knight and Charles Darwin.
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