Modelling Forest Fires Using Complex Networks
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Mathematical and Computational Applications
Abstract
Forest fires have been a major threat to the environment throughout history. In order to
mitigate its consequences, we present, in a first of a series of works, a mathematical model with
the purpose of predicting fire spreading in a given land portion divided into patches, considering
the area and the rate of spread of each patch as inputs. The rate of spread can be estimated from
previous knowledge on fuel availability, weather and terrain conditions. We compute the time
duration of the spreading process in a land patch in order to construct and parametrize a landscape
network, using cellular automata simulations. We use the multilayer network model to propose a
network of networks at the landscape scale, where the nodes are the local patches, each with their
own spreading dynamics. We compute some respective network measures and aim, in further work,
for the establishment of a fire-break structure according to increasing accuracy simulation results.
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Citation
Perestrelo, S., Grácio, M.C., Almeida Ribeiro, N., Lopes, L.M. (2021). Modelling Forest Fires Using Complex Networks. Mathematical and Computational Applications. 26(4):68.. https://doi.org/10.3390/mca26040068