Physics – Geophysics
Scientific paper
Jun 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002georl..29k...3m&link_type=abstract
Geophysical Research Letters, Volume 29, Issue 11, pp. 3-1, CiteID 1508, DOI 10.1029/2001GL014533
Physics
Geophysics
7
Hydrology: Geomorphology (1625), Hydrology: Networks, Mathematical Geophysics: Modeling, General Or Miscellaneous: Techniques Applicable In Three Or More Fields
Scientific paper
We derive a new allometric scaling law for loopless networks, which we confirm with studies on rivers, exact network results and computer simulations. We provide evidence suggesting that ensemble averaging of the allometric property (where individual realizations are different networks) leads to results in excellent accord with the known limit scaling of efficient and compact networks with remarkably little scatter. Our results complement recent work suggesting that network-related allometric scaling in living organisms is regulated by metabolic supply-demand balance, because we show that scaling features are robust to geometrical fluctuations of network properties.
Banavar Jayanth R.
Maritan Amos
Rigon Riccardo
Rinaldo Alessandro
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