Critical and near-critical branching processes.

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.

• Publication year

  1999

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  1999-03-05

• Fields of study

  Biology, Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1103/PhysRevE.66.011907arXiv cond-mat/9903085PMID 12241384
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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