Are there any studies that measure this for actual circulatory systems? Can you give the reference?
West, Brown and Enquist assume in their general allometric model, 1997, Science , Vol. 276 p. 122-126, that each tube, in their idealization, divides into n times as many in the next level farther away from the aorta. The n scale factor is indispensable in their derivation. Is there any evidence that circulatory systems scale the number of tubes from one level to the next in such a regular and constant way?
My view for some time is that the WBE 1997 derivation is wrong for dimension reasons in addition to the reasons of Kozlowski and Kornazewski, 2004 Funct Ecol , Vol. 18 p. 283-289 and 2005, Funct Ecol , Vol. 19 p. 739-743.
Preprint Revisiting 1638's turn from dimension to scaling