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    Wildfire Simulation SoftwareWildfire Simulation Software

    Charles ErwinCharles Erwin

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    CS 521: Computational Science 2

    Simple Wildfire Simulator from NOVASimple Wildfire Simulator from NOVA

    http://www.pbs.org/wgbh/nova/fire/simulation.html

    (requires Flash)

    Wildfire Simulator is a simple computer simulation that

    predicts the behavior of fire in a wildland environment. Not meant for research, only to demonstrate some basic

    ideas about wildfire simulation.

    Programming for this feature is derived from FARSITE.

    http://www.pbs.org/wgbh/nova/fire/simulation.html

    (requires Flash)

    Wildfire Simulator is a simple computer simulation that

    predicts the behavior of fire in a wildland environment. Not meant for research, only to demonstrate some basic

    ideas about wildfire simulation.

    Programming for this feature is derived from FARSITE.

    http://www.pbs.org/wgbh/nova/fire/simulation.htmlhttp://www.pbs.org/wgbh/nova/fire/simulation.htmlhttp://www.pbs.org/wgbh/nova/fire/simulation.htmlhttp://www.pbs.org/wgbh/nova/fire/simulation.html
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    CS 521: Computational Science 3

    EMBYR: Ecological Model for BurningEMBYR: Ecological Model for Burning

    the Yellowstone Regionthe Yellowstone Region

    Created by William W. Hargrove andRobert H. Gardner Designed to simulate wildfires, the subsequent pattern of

    vegetation, and then the next generation of burnpatterns.

    While the EMBYR model parameters could be adjustedto reproduce a particular historical wildfire exactly, it ismore important to reproduce any wildfire relatively wellon average.

    EMBYR can generate "Risk Maps", which areconstructed from many replications of a single simulatedfire. Cells which burned in many of the replications arecolored black, while cells which burned in only a fewsimulations are colored white, with gray levels inintermediate cases.

    http://research.esd.ornl.gov/~hnwhttp://www.al.umces.edu/gardner.htmlhttp://www.al.umces.edu/gardner.htmlhttp://research.esd.ornl.gov/~hnw
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    EMBYR Fire ModelEMBYR Fire Model

    The fire model, EMBYR, depicts the landscape as a grid in

    which the dimension of each cell is 50 m (2500 m2).

    Diffusive Spread: Fire spreads from each ignited cell to

    any of eight unburned neighbors (the four adjacent cells

    and four diagonal cells) as an independent stochastic eventwith probability I, where Imay range from 0 to 1.

    Each cell burns for a single time step of variable length, and

    the fire goes out if new sites are not ignited at each time

    step.

    Theoretical studies have demonstrated that ifIis less then

    a critical value, fires are unlikely to propagate across the

    landscapeci

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    CS 521: Computational Science 5

    EMBYR Fire Model (cont)EMBYR Fire Model (cont)

    They estimated by performing 50 simulations for each

    value ofI (0.245 I 0.252 in increments of 0.001) on

    a 300x300 grid.

    The proportion of simulations with fires reaching the top

    edge of the map after the entire bottom edge was ignited

    was 38% forI = 0.250 and 60% forI = 0.251. Since is

    the threshold at which 50% of the fires reach the

    opposite edge of the map, these results indicated that

    lies between 0.250 and 0.251.

    ci

    ci

    ci

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    CS 521: Computational Science 6

    EMBYR Fire Model (cont)EMBYR Fire Model (cont)

    Simulating multiple fuel classes: EMBYR explicitly

    simulates multiple classes of fuel by varying the

    probability of fire spread as a function of fuel type.

    The fuel classes considered are four successional

    stages of lodgepole pine forest, nonforested regions

    such as meadows, and nonflammable areas such as

    rock, roads, and water.

    Derived probabilities on fire spreading between

    different types of fuel.

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    EMBYR Fire Model (cont)EMBYR Fire Model (cont)

    Variation in fuel moisture: EMBYR uses a standard fire

    danger measure known as percent 1000-h time-lagged fuel

    moisture.

    In this measure, an assumption is made about how long

    fuel of a particular diameter would take to soak to thecore, or to dry out once soaked.

    Current internal moisture in fuels of that diameter is

    modeled with appropriately time-lagged ambient

    atmospheric humidity. Obviously, if fuels are sufficiently wet, fires do not occur.

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    EMBYR Fire Model (cont)EMBYR Fire Model (cont)

    Simulating the effects of wind: Three classes of wind

    speeds (WS), measured at a standard height of 6.1 m

    (20 ft) above the surface, are considered: WS 0, with speeds ranging from 0 to 3.1 kph (5 mph)

    WS 1, moderate winds ranging from 3.1 to 21.7 kph (535 mph)

    WS 2, strong wind with speeds greater than 21.7 kph

    For each of the three wind speed classes, a bias value b

    is used to modify the probability of spread to each

    neighboring cell.

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    EMBYR Fire Model (cont)EMBYR Fire Model (cont)

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    EMBYR Fire Model (cont)EMBYR Fire Model (cont)

    Simulating the effects of firebrands: EMBYR

    simulates a second mechanism of fire spread the

    production of firebrands which are carried aloft in the

    rising convection column, and then drift and fall on

    remote sites. The spotting effect of firebrands is simulated by

    permitting each burning site to generate a fixed number

    of firebrands as a function of fuel type.

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    CS 521: Computational Science 11

    Simulation: homogeneous landscapesSimulation: homogeneous landscapes

    Area burned (in cells) in a 500x500 cell homogeneous fuel class landscape with asingle fixed ignition as a function of the probability of fire spread, I, to the eight

    surrounding neighbors where (a) fire is allowed to propagate by adjacent spread

    only (no firebrands), and (b) fire is allowed to propagate by adjacent spread and by

    firebrands. The simulation was ended before fire could reach the edge of the map.

    Means and standard deviations are shown for five replications.

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    Simulation: Using actual LandscapesSimulation: Using actual Landscapes

    The cumulative

    frequency of risk of fires

    of increasing size for

    four alternative weather

    conditions of (from left

    to right) (a)Scenario 1: moist with

    strong winds; (b)

    Scenario 2: dry

    weather with moderate

    winds; (c) Scenario 3:

    very dry weather withmoderate winds; and

    (d) Scenario 4: very dry

    weather with strong

    winds

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    Examples of EMBYR In actionExamples of EMBYR In action

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    FARSITE: Fire Area SimulatorFARSITE: Fire Area Simulator

    Two Dimensional model of fire behaviour and growthsimulator.

    A simple ellipse fit observed fire growth data as well as othershapes. Regardless of the correct shape (if a single oneexists), the eccentricity of the fire is known to increase with

    increasing windspeed or slope steepness or both. Cellular Model: Simulate fire growth as a discrete process of

    ignitions across a regularly spaced landscape grid.

    In general, cellular models have had diminishing success inreproducing the expected twodimensional shapes and growth

    patterns as environmental conditions become moreheterogeneous.

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    FARSITE ModelFARSITE Model

    Problems with cellular models are avoided by the vectoror wave approach to fire growth modeling (Huygensprinciple).

    The fire front is propagated as a continuously expanding

    fire polygon at specified timesteps. Essentially the inverse of the cellular method, the fire

    polygon is defined by a series of two-dimensionalvertices (points with X,Y coordinates). The number ofvertices increases as the fire grows over time (polygon

    expands). The expansion of the fire polygon isdetermined by computing the spread rate and directionfrom each vertex and multiplying by the duration of thetimestep.

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    FARSITE Model (cont)FARSITE Model (cont)

    The reliance on an assumed fire shape, in this case anellipse, is necessary because the spread rate of only theheading portion of a fire is predicted by the present firespread model. Fire spread in all other directions is

    inferred from the forward spread rate using themathematical properties of the ellipse. There are still many problems in accurately simulating

    fire with this approach, different methods, however, willprobably be of little consequence to the practical

    application of a fire growth model until the greateruncertainties are resolved as to how wind, slope, andfuels affect fire shapes.

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    FARSITE Model (cont)FARSITE Model (cont)

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    FARSITE Model: Richards EquationsFARSITE Model: Richards Equations

    Xs, Ys The orientation of the vertex on thefire front in terms of componentdifferentials.

    The direction of maximum fire

    spread rate.

    a, b, c

    The shape of an elliptical firedetermined from the conditionslocal to that vertex in terms ofdimensions.

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    FARSITE Model (cont)FARSITE Model (cont)

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    FARSITE: Transformations for SlopingFARSITE: Transformations for Sloping

    TerrainTerrain

    Richards equations were originally developed for flat

    terrain.

    On flat terrain, a horizontal coordinate system remains

    unchanged when projected onto the ground surface. This

    is not the case for sloping terrain.

    This means that the inputs to equations [1] and [2] must

    be transformed from the horizontal to the surface plane,

    and outputs must be transformed from the surface plane

    back to the horizontal plane.

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    FARSITE Model (cont)FARSITE Model (cont)

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    FARSITE Model (cont)FARSITE Model (cont)

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    FARSITE Model (cont)FARSITE Model (cont)

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    FARSITE Model (cont)FARSITE Model (cont)

    Other models used include the Van Wagner crown fire

    model, and Albinis spotting model.

    For input, FARSITE uses GIS raster data in lieu of vector

    data. For fuel moisture, BEHAVE and NFDRS equations

    are used.

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    FARSITEFARSITE

    Raster Landscape input

    layers required from theGIS for FARSITE

    simulation.

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    FARSITEFARSITE

    Screen shot of a

    FARSITE v4.00

    simulation

    utilizing the post-

    frontal

    combustionmodel.

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    ReferencesReferences

    http://www.pbs.org/wgbh/nova/fire/simulation.html

    http://fire.org

    Finney, Mark A. 1998. FARSITE: Fire Area Simulator-model

    development and evaluation. Res. Pap. RMRS-RP-4, Ogden, UT:

    U.S. Department of Agriculture, Forest Service, Rocky MountainResearch Station

    http://research.esd.ornl.gov/~hnw/embyr/

    Hargrove, W.W., R.H. Gardner, M.G. Turner, W.H. Romme, and

    D.G. Despain. 2000. Simulating fire patterns in heterogeneous

    landscapes. Ecological Modelling 135(2-3):243-263

    http://www.pbs.org/wgbh/nova/fire/simulation.htmlhttp://fire.org/http://research.esd.ornl.gov/~hnw/embyr/http://research.esd.ornl.gov/~hnw/embyr/http://fire.org/http://fire.org/http://www.pbs.org/wgbh/nova/fire/simulation.html