Allometric aspects of population dynamics: A symmetry approach
- E. L. Charnov
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The maximum intrinsic rate of increase (r max ) shows a −0.25 scaling with adult body weight (W) in mammals (and others). Average adult life span (1/M) and age at maturity (α) show −0.25 scalings, independent of population size; these two lead to ther max scaling, providedR o is invariant with body size in rarified populations (=R om ). Thus ther max scaling follows from the existence of two population size symmetries (i.e. 1/M and α) and one body size symmetry (R o ). The theory provides a formula to calculate the height (A 3) of the scalingr max =A 3 ·W −0.25. The theory also helps to explain ‘Fowler's Rules’, which linkR om to the relative position of the inflection point of the population growth curve.
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- Allometric aspects of population dynamics: A symmetry approach
Volume 6, Issue 4 , pp 307-311
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers
- Additional Links
- body size scaling
- invariants-life history
- population growth-Fowler's Rules
- dimensional analysis
- mammals-population growth
- Industry Sectors
- E. L. Charnov (1)
- Author Affiliations
- 1. Department of Biology, University of Utah, 84112, Salt Lake City, UT, USA