River networks as emergent characteristics of open dissipative systems

K. Paik, P. Kumar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Open dissipative systems, such as river networks, are known to exhibit self-organization with the tree network as the resulting signature pattern. Models that use the minimization constraint on energy expenditure have been successful in reproducing the branching tree patterns but the mechanism that enables the systems to find these extremal states remains elusive.We postulate that inherent random perturbation in the system environment is a sufficient condition for the generation of tree patterns. We demonstrate this, using a numerical river network evolution model driven by erosion-deposition processes under a gravitation gradient, and show that the minimization of energy expenditure is a consequent signature. Resulting river networks exhibit characteristics of natural river networks such as self-similarity, Hack's law, and power law in exceedance probability distribution of contributing area. Our finding in the evolutionary mechanism may serve as a motif for the formation of other networks.

Original languageEnglish
Title of host publicationRiver, Coastal and Estuarine Morphodynamics
Subtitle of host publicationRCEM 2005 - Proceedings of the 4th IAHR Symposium on River, Coastal and Estuarine Morphodynamics
Pages1107-1116
Number of pages10
Publication statusPublished - 2006
Externally publishedYes
Event4th IAHR Symposium on River, Coastal and Estuarine Morphodynamics, RCEM 2005 - Urbana, IL, United States
Duration: 2005 Oct 42005 Oct 7

Publication series

NameRiver, Coastal and Estuarine Morphodynamics: RCEM 2005 - Proceedings of the 4th IAHR Symposium on River, Coastal and Estuarine Morphodynamics
Volume2

Other

Other4th IAHR Symposium on River, Coastal and Estuarine Morphodynamics, RCEM 2005
CountryUnited States
CityUrbana, IL
Period05/10/405/10/7

ASJC Scopus subject areas

  • Ecological Modelling
  • Environmental Chemistry

Fingerprint Dive into the research topics of 'River networks as emergent characteristics of open dissipative systems'. Together they form a unique fingerprint.

  • Cite this

    Paik, K., & Kumar, P. (2006). River networks as emergent characteristics of open dissipative systems. In River, Coastal and Estuarine Morphodynamics: RCEM 2005 - Proceedings of the 4th IAHR Symposium on River, Coastal and Estuarine Morphodynamics (pp. 1107-1116). (River, Coastal and Estuarine Morphodynamics: RCEM 2005 - Proceedings of the 4th IAHR Symposium on River, Coastal and Estuarine Morphodynamics; Vol. 2).