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Re-examination of the "3/4-law" of Metabolism
Peter Sheridan Dodds, Daniel H. Rothman, Joshua S. Weitz
We examine the scaling law which connects organismal metabolic rate with organismal mass , where is commonly held to be 3/4. Since simple dimensional ana…
Geometry of River Networks III: Characterization of Component Connectivity
Peter Sheridan Dodds, Daniel H. Rothman
River networks serve as a paradigmatic example of all branching networks. Essential to understanding the overall structure of river networks is a knowledge of their detailed archit…
Geometry of River Networks II: Distributions of Component Size and Number
Peter Sheridan Dodds, Daniel H. Rothman
The structure of a river network may be seen as a discrete set of nested sub-networks built out of individual stream segments. These network components are assigned an integral str…
Geometry of River Networks I: Scaling, Fluctuations, and Deviations
Peter Sheridan Dodds, Daniel H. Rothman
This article is the first in a series of three papers investigating the detailed geometry of river networks. Large-scale river networks mark an important class of two-dimensional b…