Mathematical Algorithm for Creating 3D Models of Heat Maps as a Biophysical Method for Assessing Environmental and Economic Fire Damage in the Far Eastern Federal District of Russia

Abstract

The aim of the research is to create a mathematical and statistical model and its computer implementation in the Python high-level programming language for modeling the dynamics of fire propagation based on satellite images and assessing the environmental and economic fire damage in the far Eastern Federal district of the Russian Federation. Using mathematical and statistical deterministic dynamic Navier-Stokes equations, a method for indicating the state of timberlands in the region has been developed, considering the main characteristics, such as: components of speed in the three-dimensional direction, fire intensity, parameters of fire propagation time and coefficients of fire propagation level depending on the geographical location of fire centers. As a result, a schematic heat map and its three-dimensional prototype in the form of restrictions on economic activity due to natural factors of the regions of the Far NorthEast and the Far East of Russia were compiled.