Abstract
We consider statistical patterns of variation in growth rates for over 400 species of breeding birds across North America surveyed from 1966 to 1998. We report two results. First, the standard deviation of population growth rates decays as a power-law function of total population size with an exponent beta = 0.36 +/- 0.02. Second, the number of subpopulations, measured as the number of survey locations with non-zero counts, scales to the 3/4 power of total number of birds counted in a given species. We show how these patterns may be related, and discuss a simple stochastic growth model for a geographically subdivided population that formalizes the relationship. We also examine reasons that may explain why some species deviate from these scaling laws.
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Selected References
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- Bjørnstad ON, Ims RA, Lambin X. Spatial population dynamics: analyzing patterns and processes of population synchrony. Trends Ecol Evol. 1999 Nov;14(11):427–432. doi: 10.1016/s0169-5347(99)01677-8. [DOI] [PubMed] [Google Scholar]
- Dodds P. S., Rothman D. H., Weitz J. S. Re-examination of the "3/4-law" of metabolism. J Theor Biol. 2001 Mar 7;209(1):9–27. doi: 10.1006/jtbi.2000.2238. [DOI] [PubMed] [Google Scholar]
- Hanski I, I, Gyllenberg M. Uniting Two General Patterns in the Distribution of Species. Science. 1997 Jan 17;275(5298):397–400. doi: 10.1126/science.275.5298.397. [DOI] [PubMed] [Google Scholar]
- Kendall BE, Bjørnstad ON, Bascompte J, Keitt TH, Fagan WF. Dispersal, Environmental Correlation, and Spatial Synchrony in Population Dynamics. Am Nat. 2000 May;155(5):628–636. doi: 10.1086/303350. [DOI] [PubMed] [Google Scholar]
- Lundberg P, Ranta E, Ripa J, Kaitala V., V Population variability in space and time. Trends Ecol Evol. 2000 Nov 1;15(11):460–464. doi: 10.1016/s0169-5347(00)01981-9. [DOI] [PubMed] [Google Scholar]
- Niklas K. J., Enquist B. J. Invariant scaling relationships for interspecific plant biomass production rates and body size. Proc Natl Acad Sci U S A. 2001 Feb 6;98(5):2922–2927. doi: 10.1073/pnas.041590298. [DOI] [PMC free article] [PubMed] [Google Scholar]
- West G. B., Brown J. H., Enquist B. J. The fourth dimension of life: fractal geometry and allometric scaling of organisms. Science. 1999 Jun 4;284(5420):1677–1679. doi: 10.1126/science.284.5420.1677. [DOI] [PubMed] [Google Scholar]