this morning I had a most relaxed Sunday breakfast with my wife in our garden that presently overflows with summer blossoms and lots of animals ..
![Image](http://www.shatters.net/~t00fri/images/garden_small.jpg)
During the 3rd cup of coffee, the following interesting question occured to me:
Apparently our garden is liked by quite many animals of VERY different sizes: 2 pretty big ones (my wife and I
![Wink ;-)](./images/smilies/icon_wink.gif)
++++++++++++++++++++++++++
So we asked ourselves, what the size distribution in such a biologically active volume would look like??
-- Would it perhaps exhibit universality properties?
-- How would that distribution change if the biological
volume (garden) increases?
-- would the distribution rather scale with the volumes of the animals rather than with their linear sizes??
etc.
++++++++++++++++++++++++++
As a good measure of the size, one should probably take the 3rd root of the volume to compensate for strong asymmetries in the animals' extension... In practice one would derive the size distribution as follows:
One subdivides a sensible total range of possible animal sizes into 50 bins, say, of given width and then --for each of these bins-- one counts the number of animals with fitting sizes in the garden. It's just the usual...
Actually, since my 4th cup of coffee this morning my wife and I are hunting, measuring and counting animals in our garden
![Wink ;-)](./images/smilies/icon_wink.gif)
So what would you guess the result will be ??
Will it once more be a Normal distribution (Gaussian) that is already governing so many things in Nature??
Cheers,
Fridger