History-dependent patterns of whole ecosystems

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Abstract

Spatial patterns at the landscape scale have been documented in a wide variety of ecosystems across many parts of the world. Mathematical models have played an important role in understanding the causes of these patterns, and their implications for ecosystem change as environmental parameters vary. Preliminary results from simulation studies suggest the possibility of hysteresis, meaning that the wavelength and other properties of the pattern will vary in a history-dependent manner. This paper presents a detailed study of this phenomenon for two established models of landscape-scale patterns: the model of Klausmeier (Science 284 (1999) 1826-1828) for banded vegetation in semi-arid environments, and the model of van de Koppel et al. (American Naturalist 165 (2005) E66-E77) for patterning in young mussel beds. In both cases, the author demonstrates history-dependent patterns. Moreover, he shows how a knowledge of pattern existence and stability enables a detailed understanding of this hysteresis. (C) 2013 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)8-20
Number of pages13
JournalEcological Complexity
Volume14
DOIs
Publication statusPublished - Jun 2013

Keywords

  • Pattern formation
  • Reaction diffusion advection
  • Hysteresis
  • Stability
  • Arid landscapes
  • Mussel beds
  • Wavetrain
  • PERIODIC VEGETATION PATTERNS
  • BANDED VEGETATION
  • SEMIARID ENVIRONMENTS
  • KLAUSMEIER MODEL
  • TIGER BUSH
  • SELF-ORGANIZATION
  • MUSSEL BEDS
  • LOCAL INTERACTIONS
  • SOIL PROPERTIES
  • LANDSCAPES

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