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Allometry and growth: A unified view

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  • De Martino, S.
  • De Siena, S.

Abstract

Allometry is crucial in biology; scaling relations are implied in laws of growth of living systems. The self similarity of Gompertzian growths of biological organisms plays a key role, in this regard, in biological similitude. The origin of allometric relationships and values of the scaling exponents is a source of debate, as well as the origin of the range of biological scales. But, besides biology, scaling and growth characterize many different complex systems. Encompassing these aspects in a unified view is an interesting target. In this paper we propose a coarse but significant model that is applied to astrophysical structures and biological organisms. The inclusion of such different systems suggests applications to fields where allometry is emerging, such as economics, urban planning and the social sciences.

Suggested Citation

  • De Martino, S. & De Siena, S., 2012. "Allometry and growth: A unified view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4302-4307.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:18:p:4302-4307
    DOI: 10.1016/j.physa.2012.04.015
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    References listed on IDEAS

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    1. Martino, Salvatore De & Siena, Silvio De & Illuminati, Fabrizio, 1999. "Inference of Planck action constant by a classical fluctuative postulate holding for stable microscopic and macroscopic dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(3), pages 324-342.
    2. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
    3. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1999. "The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms," Working Papers 99-07-047, Santa Fe Institute.
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