Red Queen Simulator

 
 

Scaling of population density

     It is common knowledge that large animals tend to be rarer than small animals. In fact, when one plots (on a logarithmic scale) average population density (number per km2) versus body mass for a large number of species, over a large range in body mass, one tends to see allometric relationships with a slope of approximately –0.75 (Fig. 2).

Fig. 2. Log (base 10) population density versus log body mass for animals. M = mammals, B = birds, H = reptiles and amphibians, I = terrestrial arthropods, T = intertidal invertebrates, A = aquatic vertebrates and invertebrates. See Damuth 2007 and references therein.
 

The figure shows polygons surrounding the regions occupied by points for individual species in each of several major biological groupings (798 species in all). Here the body-size ranges from elephants to soil mites, more than 11 orders of magnitude. Both the trends within polygons and the overall trend are roughly consistent and virtually all points fall in the same region between the dotted lines (which have a slope of –0.75). Aquatic species are on average more abundant than terrestrial species but their trends are similar.

      This description oversimplifies lower-level details considerably. Nevertheless the overall pattern is clear, and it is somewhat surprising that we should see anything coherent at this scale at all. Why would population densities of such different kinds of species all fall within the same range of values above and below a line with slope near –0.75?

      The answer may become clearer when we ask about how the energy used by local populations scales with their body size.

 

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