Data assimilation of dead fuel moisture observations from remote automated weather stations

Fuel moisture has a major influence on the behaviour of wildland fires and is an important underlying factor in fire risk assessment. We propose a method to assimilate dead fuel moisture content (FMC) observations from remote automated weather stations (RAWS) into a time lag fuel moisture model. RAWS are spatially sparse and a mechanism is needed to estimate fuel moisture content at locations potentially distant from observational stations. This is arranged using a trend surface model (TSM), which allows us to account for the effects of topography and atmospheric state on the spatial variability of FMC. At each location of interest, the TSM provides a pseudo-observation, which is assimilated via Kalman filtering. The method is tested with the time lag fuel moisture model in the coupled weather-fire code WRF–SFIRE on 10-h FMC observations from Colorado RAWS in 2013. Using leave-one-out testing we show that the TSM compares favourably with inverse squared distance interpolation as used in the Wildland Fire Assessment System. Finally, we demonstrate that the data assimilation method is able to improve on FMC estimates in unobserved fuel classes.

[1]  Neil R. Viney,et al.  A Review of Fine Fuel Moisture Modelling , 1991 .

[2]  G. Powers,et al.  A Description of the Advanced Research WRF Version 3 , 2008 .

[3]  F. Albini Estimating Wildfire Behavior and Effects , 1976 .

[4]  Jaromír Stepán A new method for the nonlinear approximation of signals. I. The optimal damping factor , 1986, Kybernetika.

[5]  John Michalakes,et al.  WRF-Fire: Coupled Weather–Wildland Fire Modeling with the Weather Research and Forecasting Model , 2013 .

[6]  J. Mandel,et al.  Coupled atmosphere-wildland fire modeling with WRF 3.3 and SFIRE 2011 , 2011, 1102.1343.

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

[8]  Hugh F. Durrant-Whyte,et al.  A new method for the nonlinear transformation of means and covariances in filters and estimators , 2000, IEEE Trans. Autom. Control..

[9]  S. Matthews Dead fuel moisture research: 1991–2012 , 2014 .

[10]  Jonathan D. Beezley,et al.  Recent advances and applications of WRF–SFIRE , 2014 .

[11]  Jeffrey K. Uhlmann,et al.  Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.

[12]  R. Burgan,et al.  Fuel Models and Fire Potential From Satellite and Surface Observations , 1998 .

[13]  Jeffrey K. Uhlmann,et al.  New extension of the Kalman filter to nonlinear systems , 1997, Defense, Security, and Sensing.

[14]  G. M. Byram,et al.  An analysis of the drying process in forest fuel material , 2015 .

[16]  Jonathan D. Beezley,et al.  Coupled atmosphere-wildland fire modeling with WRF-Fire version 3.3 , 2011 .

[17]  Jean-Baptiste Filippi,et al.  Simulation of Coupled Fire/Atmosphere Interaction with the MesoNH-ForeFire Models , 2010 .

[18]  T. Clark,et al.  Description of a coupled atmosphere–fire model , 2004 .

[19]  Gene H. Golub,et al.  An analysis of the total least squares problem , 1980, Milestones in Matrix Computation.

[20]  R. M. Nelson,et al.  Prediction of diurnal change in 10-h fuel stick moisture content , 2000 .

[21]  Jonathan D. Beezley,et al.  Assimilation of Perimeter Data and Coupling with Fuel Moisture in a Wildland Fire-Atmosphere DDDAS , 2012, ICCS.

[22]  Van Wagner Equations and FORTRAN program for the Canadian Forest Fire Weather Index System , 1985 .

[23]  R. Fay,et al.  Estimates of Income for Small Places: An Application of James-Stein Procedures to Census Data , 1979 .