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On elliptical model for forest fire spread modeling and simulation. (English) Zbl 1137.92029

Summary: A new approach for the derivation of an elliptical model of steady-state forest fire spread in time based on classical envelope theory is described. The derivation of this model known in the literature is based on the introduction of a special transform of a co-ordinate system which allows to utilize geometrical properties of points lying on the common tangent line of two circles. However, the use of this transform means the necessity to apply some specific assumptions to the model. The proposed new procedure allows us to derive the model without the use of this transform. The new approach enables to better explain the internal coherence of the studied problem, assumptions and limitations of the model, as well as to suggest its further generalizations.

MSC:

92D40 Ecology
93A30 Mathematical modelling of systems (MSC2010)
68U35 Computing methodologies for information systems (hypertext navigation, interfaces, decision support, etc.)

Software:

FlamMap; FARSITE
PDFBibTeX XMLCite
Full Text: DOI

References:

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