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Critical and near-critical branching processes

Adami, Christoph and Chu, Johan (2002) Critical and near-critical branching processes. Physical Review E, 66 (1). Art. No. 011907. ISSN 1063-651X. doi:10.1103/PhysRevE.66.011907.

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Scale-free dynamics in physical and biological systems can arise from a variety of causes. Here, we explore a branching process which leads to such dynamics. We find conditions for the appearance of power laws and study quantitatively what happens to these power laws when such conditions are violated. From a branching process model, we predict the behavior of two systems which seem to exhibit near scale-free behavior—rank-frequency distributions of number of subtaxa in biology, and abundance distributions of genotypes in an artificial life system. In the light of these, we discuss distributions of avalanche sizes in the Bak-Tang-Wiesenfeld sandpile model.

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Adami, Christoph0000-0002-2915-9504
Additional Information:©2002 The American Physical Society Received 3 December 2001; revised 7 February 2002; published 19 July 2002 We are grateful to the late Professor J. J. Sepkoski for kindly sending us his amended data set for fossil marine animal families. J.C. thanks M. C. Cross for continued support and discussions. Access to the Intel Paragon XP/S was provided by the Center of Advanced Computing Research at the California Institute of Technology. This research was supported by the NSF under Contract Nos. PHY-9723972 and DEB-9981397. Part of this work was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration.
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Deposited On:04 Jan 2006
Last Modified:08 Nov 2021 19:08

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