A Simple Model of Large Scale Organization in Evolution

S. C. Manrubia and M. Paczuski
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S. C. Manrubia: CSRG, Departament de Física i Enginyeria Nuclear, UPC c/ Sor Eulàlia d'Anzizu s/n Campus Nord, B4-B5. 08034 Barcelona, Spain
M. Paczuski: Department of Physics, Brookhaven National Laboratory, Upton, NY 11973, USA;

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 07, 1025-1032

Abstract: A mathematical model of interacting species filling ecological niches left by the extinction of others is introduced. Species organize themselves into genera of all sizes. The size of a genus on average grows linearly with its age, confirming a general relation between Age and Area proposed by Willis. The ecology exhibits punctuated equilibrium. Analytic and numerical results show that the probability distribution of genera sizes, genera lifetimes, and extinction event sizes are the same power lawP(x)~ 1/x2, consistent with paleontological data.

Keywords: Evolution; Connection Model; Age and Area; One-Demensional Model; 87.10.+e; 05.40.+j; 64.60.Lx (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000960

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