Assimilation of Fire Perimeters and Satellite Detections by Minimization of the Residual in a Fire Spread Model

  • Angel Farguell Caus
  • James Haley
  • Adam K. Kochanski
  • Ana Cortés Fité
  • Jan Mandel
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10861)


Assimilation of data into a fire-spread model is formulated as an optimization problem. The level set equation, which relates the fire arrival time and the rate of spread, is allowed to be satisfied only approximately, and we minimize a norm of the residual. Previous methods based on modification of the fire arrival time either used an additive correction to the fire arrival time, or made a position correction. Unlike additive fire arrival time corrections, the new method respects the dependence of the fire rate of spread on diurnal changes of fuel moisture and on weather changes, and, unlike position corrections, it respects the dependence of the fire spread on fuels and terrain as well. The method is used to interpolate the fire arrival time between two perimeters by imposing the fire arrival time at the perimeters as constraints.



This research was partially supported by grants NSF ICER-1664175 and NASA NNX13AH59G, and MINECO-Spain under contract TIN2014-53234-C2-1-R. High-performance computing support at CHPC at the University of Utah and Cheyenne (doi:10.5065/D6RX99HX) at NCAR CISL, sponsored by the NSF, are gratefully acknowledged.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Angel Farguell Caus
    • 1
    • 2
  • James Haley
    • 2
  • Adam K. Kochanski
    • 3
  • Ana Cortés Fité
    • 1
  • Jan Mandel
    • 2
  1. 1.HPCA4SE research group, Computer Architecture and Operating Systems DepartmentUniversitat Autònoma de BarcelonaBellaterraSpain
  2. 2.Department of Mathematical and Statistical SciencesUniversity of Colorado DenverDenverUSA
  3. 3.Department of Atmospheric SciencesUniversity of UtahSalt Lake CityUSA

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