Self-organized criticality of wildfires ecologically revisited

Abstract Wildfire cumulative frequency–area distributions of Mediterranean landscapes are examined for agreement with self-similar (fractal) behavior. Our results support landscape-specific restricted scaling regions of 1.5–3.5 orders of magnitude in size, which are delimited by breakpoints or ‘cut-offs’. By identifying the extent of such regions in the fractal frequency–area distribution of wildfires, fractal statistics may give a deeper insight into the scale-invariant dynamics of fire spread, whereas the observed cut-offs may be related to changes in the process–pattern interactions that control wildfire propagation at the landscape scale.

[1]  George Sugihara,et al.  Fractals: A User's Guide for the Natural Sciences , 1993 .

[2]  E. Johnson,et al.  The Relative Importance of Fuels and Weather on Fire Behavior in Subalpine Forests , 1995 .

[3]  R. O'Neill A Hierarchical Concept of Ecosystems. , 1986 .

[4]  N. B. Kotliar,et al.  Multiple scales of patchiness and patch structure: a hierarchical framework for the study of heterogeneity , 1990 .

[5]  D. Turcotte,et al.  Forest fires: An example of self-organized critical behavior , 1998, Science.

[6]  P. Bak,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[7]  Marco Marchetti,et al.  The flaming sandpile: self-organized criticality and wildfires , 1999 .

[8]  W. Hargrove,et al.  Effects of fire on landscape heterogeneity in Yellowstone National Park, Wyoming , 1994 .

[9]  Tang,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[10]  G. Malanson Intensity as a Third Factor of Disturbance Regime and Its Effect on Species Diversity , 1984 .

[11]  C. S. Holling Cross-Scale Morphology, Geometry, and Dynamics of Ecosystems , 1992 .

[12]  Didier Sornette,et al.  Self-Organized Criticality and Earthquakes , 1989 .

[13]  B. Milne Measuring the fractal geometry of landscapes , 1988 .

[14]  S. Jørgensen,et al.  Ecosystem as self-organizing critical systems , 1998 .

[15]  Patricia L. Andrews,et al.  Introduction To Wildland Fire , 1984 .

[16]  W. Hargrove,et al.  EFFECTS OF FIRE SIZE AND PATTERN ON EARLY SUCCESSION IN YELLOWSTONE NATIONAL PARK , 1997 .

[17]  P. Bak,et al.  Earthquakes as a self‐organized critical phenomenon , 1989 .

[18]  D. H. Knight,et al.  Fire Frequency and Subalpine Forest Succession Along a Topographic Gradient in Wyoming , 1981 .

[19]  R. O'Neill,et al.  Landscape patterns in a disturbed environment , 1987 .

[20]  H. M. Hastings,et al.  The Use of Fractals to Assess the Ecological Impact of Increased Cattle Population: Case Study from the Runde Communal Land, Zimbabwe , 1992 .

[21]  R. Ricklefs,et al.  Community Diversity: Relative Roles of Local and Regional Processes , 1987, Science.

[22]  Noever Himalayan sandpiles. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.