Journal of Statistical Physics

, Volume 91, Issue 1–2, pp 1–15 | Cite as

Models of Fractal River Basins

  • Marek Cieplak
  • Achille Giacometti
  • Amos Maritan
  • Andrea Rinaldo
  • Ignacio Rodriguez-Iturbe
  • Jayanth R. Banavar


Two distinct models for self-similar and self-affine river basins are numerically investigated. They yield fractal aggregation patterns following nontrivial power laws in experimentally relevant distributions. Previous numerical estimates on the critical exponents, when existing, are confirmed and superseded. A physical motivation for both models in the present framework is also discussed.

Dynamical critical phenomena growth process rivers runoff and stream flow erosion and sedimentation aggregation patterns 


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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Marek Cieplak
    • 1
  • Achille Giacometti
    • 2
  • Amos Maritan
    • 3
  • Andrea Rinaldo
    • 4
  • Ignacio Rodriguez-Iturbe
    • 5
  • Jayanth R. Banavar
    • 6
  1. 1.Polish Academy of ScienceWarsawPoland
  2. 2.Dipartimento di Scienze AmbientaliINFM Unitá di VeneziaVeniceItaly
  3. 3.INFM Trieste andInternational School for Advanced Studies (SISSA)Grignano di TriesteItaly
  4. 4.Istituto di Idraulica “G. Poleni,”Unversità di PadovaPaduaItaly
  5. 5.Department of Civil EngineeringTexas A&M UniversityCollege Station
  6. 6.Department of Physics and Center for Materials PhysicsPennsylvania State UniversityUniversity Park

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