fbp {cffdrs}

Fire Behavior Prediction System function

Description

fbp calculates the outputs from the Canadian Forest Fire Behavior Prediction (FBP) System (Forestry Canada Fire Danger Group 1992) based on given fire weather and fuel moisture conditions (from the Canadian Forest Fire Weather Index (FWI) System (Van Wagner 1987)), fuel type, date, and slope. Fire weather, for the purpose of FBP System calculation, comprises observations of 10 m wind speed and direction at the time of the fire, and two associated outputs from the Fire Weather Index System, the Fine Fuel Moisture Content (FFMC) and Buildup Index (BUI). FWI System components can be calculated with the sister function fwi.

The Canadian Forest Fire Behavior Prediction (FBP) System (Forestry Canada Fire Danger Group 1992) is a subsystem of the Canadian Forest Fire Danger Rating System, which also includes the Canadian Forest Fire Weather Index (FWI) System. The FBP System provides quantitative estimates of head fire spread rate, fuel consumption, fire intensity, and a basic fire description (e.g., surface, crown) for 16 different important forest and rangeland types across Canada. Using a simple conceptual model of the growth of a point ignition as an ellipse through uniform fuels and under uniform weather conditions, the system gives, as a set of secondary outputs, estimates of flank and back fire behavior and consequently fire area perimeter length and growth rate.

The FBP System evolved since the mid-1970s from a series of regionally developed burning indexes to an interim edition of the nationally develop FBP system issued in 1984. Fire behavior models for spread rate and fuel consumption were derived from a database of over 400 experimental, wild and prescribed fire observations. The FBP System, while providing quantitative predictions of expected fire behavior is intended to supplement the experience and judgment of operational fire managers (Hirsch 1996).

The FBP System was updated with some minor corrections and revisions in 2009 (Wotton et al. 2009) with several additional equations that were initially not included in the system. This fbp function included these updates and corrections to the original equations and provides a complete suite of fire behavior prediction variables. Default values of optional input variables provide a reasonable mid-range setting. Latitude, longitude, elevation, and the date are used to calculate foliar moisture content, using a set of models defined in the FBP System; note that this latitude/longitude-based function is only valid for Canada. If the Foliar Moisture Content (FMC) is specified directly as an input, the fbp function will use this value directly rather than calculate it. This is also true of other input variables.

Note that Wind Direction (WD) is the compass direction from which wind is coming. Wind azimuth (not an input) is the direction the wind is blowing to and is 180 degrees from wind direction; in the absence of slope, the wind azimuth is coincident with the direction the head fire will travel (the spread direction azimuth, RAZ). Slope aspect is the main compass direction the slope is facing. Slope azimuth (not an input) is the direction a head fire will spread up slope (in the absence of wind effects) and is 180 degrees from slope aspect (Aspect). Wind direction and slope aspect are the commonly used directional identifiers when specifying wind and slope orientation respectively. The input theta specifies an angle (given as a compass bearing) at which a user is interested in fire behavior predictions; it is typically some angle off of the final spread rate direction since if for instance theta=RAZ (the final spread azimuth of the fire) then the rate of spread at angle theta (TROS) will be equivalent to ROS.

Usage

fbp(input = NULL, output = "Primary", m = NULL, cores = 1)

Arguments

input

The input data, a data.frame containing fuel types, fire weather component, and slope (see below). Each vector of inputs defines a single FBP System prediction for a single fuel type and set of weather conditions. The data.frame can be used to evaluate the FBP System for a single fuel type and instant in time, or multiple records for a single point (e.g., one weather station, either hourly or daily for instance) or multiple points (multiple weather stations or a gridded surface). All input variables have to be named as listed below, but they are case insensitive, and do not have to be in any particular order. Fuel type is of type character; other arguments are numeric. Missing values in numeric variables could either be assigned as NA or leave as blank.

Required Inputs:
Input	Description/Full name	Defaults
FuelType	FBP System Fuel Type including "C-1",
	"C-2", "C-3", "C-4","C-5", "C-6", "C-7",
	"D-1", "M-1", "M-2", "M-3", "M-4", "NF",
	"D-1", "S-2", "S-3", "O-1a", "O-1b", and
	"WA", where "WA" and "NF" stand for
	"water" and "non-fuel", respectively.
LAT	Latitude [decimal degrees]	55
LONG	Longitude [decimal degrees]	-120
FFMC	Fine fuel moisture code [FWI System component]	90
BUI	Buildup index [FWI System component]	60
WS	Wind speed [km/h]	10
GS	Ground Slope [percent]	0
Dj	Julian day	180
Aspect	Aspect of the slope [decimal degrees]	0
Optional Inputs (1):	Variables associated with certain fuel
	types. These could be skipped if relevant
	fuel types do not appear in the input data.
Input	Full names of inputs	Defaults
PC	Percent Conifer for M1/M2 [percent]	50
PDF	Percent Dead Fir for M3/M4 [percent]	35
cc	Percent Cured for O1a/O1b [percent]	80
GFL	Grass Fuel Load [kg/m^2]	0.35
Optional Inputs (2):	Variables that could be ignored without
	causing major impacts to the primary outputs
Input	Full names of inputs	Defaults
CBH	Crown to Base Height [m]	3
WD	Wind direction [decimal degrees]	0
Accel	Acceleration: 1 = point, 0 = line	0
ELV*	Elevation [meters above sea level]	NA
BUIEff	Buildup Index effect: 1=yes, 0=no	1
D0	Julian day of minimum Foliar Moisture Content	0
hr	Hours since ignition	1
ISI	Initial spread index	0
CFL	Crown Fuel Load [kg/m^2]	1.0
FMC	Foliar Moisture Content if known [percent]	0
SH	C-6 Fuel Type Stand Height [m]	0
SD	C-6 Fuel Type Stand Density [stems/ha]	0
theta	Elliptical direction of calculation [degrees]	0

output

FBP output offers 3 options (see details in Values section):

Outputs	Number of outputs
Primary(default)	8
Secondary	34
All	42

m

Optimal number of pixels at each iteration of computation when nrow(input) >= 1000. Default m = NULL, where the function will assign m = 1000 when nrow(input) is between 1000 and 500,000, and m = 3000 otherwise. By including this option, the function is able to process large dataset more efficiently. The optimal value may vary with different computers.

cores

Number of CPU cores (integer) used in the computation, default is 1. By signing cores > 1, the function will apply parallel computation technique provided by the foreach package, which significantly reduces the computation time for large input data (over a million records). For small dataset, cores=1 is actually faster.

Value

fbp returns a dataframe with primary, secondary, or all output variables, a combination of the primary and secondary outputs.

Primary FBP output includes the following 8 variables:

CFB

Crown Fraction Burned by the head fire

CFC

Crown Fuel Consumption [kg/m^2]

FD

Fire description (1=Surface, 2=Intermittent, 3=Crown)

HFI

Head Fire Intensity [kW/m]

RAZ

Spread direction azimuth [degrees]

ROS

Equilibrium Head Fire Rate of Spread [m/min]

SFC

Surface Fuel Consumption [kg/m^2]

TFC

Total Fuel Consumption [kg/m^2]

Secondary FBP System outputs include the following 34 raster layers. In order to calculate the reliable secondary outputs, depending on the outputs, optional inputs may have to be provided.

BE

BUI effect on spread rate

SF

Slope Factor (multiplier for ROS increase upslope)

ISI

Initial Spread Index

FFMC

Fine fuel moisture code [FWI System component]

FMC

Foliar Moisture Content [%]

Do

Julian Date of minimum FMC

RSO

Critical spread rate for crowning [m/min]

CSI

Critical Surface Intensity for crowning [kW/m]

FROS

Equilibrium Flank Fire Rate of Spread [m/min]

BROS

Equilibrium Back Fire Rate of Spread [m/min]

HROSt

Head Fire Rate of Spread at time hr [m/min]

FROSt

Flank Fire Rate of Spread at time hr [m/min]

BROSt

Back Fire Rate of Spread at time hr [m/min]

FCFB

Flank Fire Crown Fraction Burned

BCFB

Back Fire Crown Fraction Burned

FFI

Equilibrium Spread Flank Fire Intensity [kW/m]

BFI

Equilibrium Spread Back Fire Intensity [kW/m]

FTFC

Flank Fire Total Fuel Consumption [kg/m^2]

BTFC

Back Fire Total Fuel Consumption [kg/m^2]

DH

Head Fire Spread Distance after time hr [m]

DB

Back Fire Spread Distance after time hr [m]

DF

Flank Fire Spread Distance after time hr [m]

TI

Time to Crown Fire Initiation [hrs since ignition]

FTI

Time to Flank Fire Crown initiation [hrs since ignition]

BTI

Time to Back Fire Crown initiation [hrs since ignition]

LB

Length to Breadth ratio

LBt

Length to Breadth ratio after elapsed time hr

WSV

Net vectored wind speed [km/hr]

TROS*

Equilibrium Rate of Spread at bearing theta [m/min]

TROSt*

Rate of Spread at bearing theta at time t [m/min]

TCFB*

Crown Fraction Burned at bearing theta

TFI*

Fire Intensity at bearing theta [kW/m]

TTFC*

Total Fuel Consumption at bearing theta [kg/m^2]

TTI*

Time to Crown Fire initiation at bearing theta [hrs since ignition]

*These outputs represent fire behaviour at a point on the perimeter of an elliptical fire defined by a user input angle theta. theta represents the bearing of a line running between the fire ignition point and a point on the perimeter of the fire. It is important to note that in this formulation the theta is a bearing and does not represent the angle from the semi-major axis (spread direction) of the ellipse. This formulation is similar but not identical to methods presented in Wotton et al (2009) and Tymstra et al (2009).

Author(s)

Xianli Wang, Alan Cantin, Marc-André Parisien, Mike Wotton, Kerry Anderson, and Mike Flannigan

References

1. Hirsch K.G. 1996. Canadian Forest Fire Behavior Prediction (FBP) System: user's guide. Nat. Resour. Can., Can. For. Serv., Northwest Reg., North. For. Cent., Edmonton, Alberta. Spec. Rep. 7. 122p.

2. Forestry Canada Fire Danger Group. 1992. Development and structure of the Canadian Forest Fire Behavior Prediction System. Forestry Canada, Ottawa, Ontario Information Report ST-X-3. 63 p. https://cfs.nrcan.gc.ca/pubwarehouse/pdfs/10068.pdf

3. Wotton, B.M., Alexander, M.E., Taylor, S.W. 2009. Updates and revisions to the 1992 Canadian forest fire behavior prediction system. Nat. Resour. Can., Can. For. Serv., Great Lakes For. Cent., Sault Ste. Marie, Ontario, Canada. Information Report GLC-X-10, 45p. https://publications.gc.ca/collections/collection_2010/nrcan/Fo123-2-10-2009-eng.pdf

4. Tymstra, C., Bryce, R.W., Wotton, B.M., Armitage, O.B. 2009. Development and structure of Prometheus: the Canadian wildland fire growth simulation Model. Nat. Resour. Can., Can. For. Serv., North. For. Cent., Edmonton, AB. Inf. Rep. NOR-X-417. https://d1ied5g1xfgpx8.cloudfront.net/pdfs/31775.pdf

See Also

fwi, fbpRaster

Examples

library(cffdrs)
# The dataset is the standard test data for FPB system
# provided by Wotton et al (2009)
data("test_fbp")
head(test_fbp)
#  id FuelType LAT LONG ELV FFMC BUI   WS WD GS  Dj  D0 hr
# 1  1      C-1  55  110  NA   90 130 20.0  0 15 182  NA 0.33333333
# 2  2       C2  50   90  NA   97 119 20.4  0 75 121  NA 0.33333333
# 3  3      C-3  55  110  NA   95  30 50.0  0  0 182  NA 0.08333333
# 4  4      C-4  55  105 200   85  82  0.0 NA 75 182  NA 0.50000000
# 5  5       c5  55  105  NA   88  56  3.4  0 23 152 145 0.50000000
# id PC PDF GFL  cc theta Accel Aspect BUIEff CBH CFL ISI
# 1  NA  NA  NA  NA     0     1    270      1  NA  NA   0
# 2  NA  NA  NA  NA     0     1    315      1  NA  NA   0
# 3  NA  NA  NA  NA     0     1    180      1  NA  NA   0
# 4  NA  NA  NA  NA     0     1    315      1  NA  NA   0
# 5  NA  NA  NA  NA     0     1    180      1  NA  NA   0

# Primary output (default)
fbp(test_fbp)
# or
fbp(test_fbp, output = "Primary")
# or
fbp(test_fbp, "P")
# Secondary output
fbp(test_fbp, "Secondary")
# or
fbp(test_fbp, "S")
# All output
fbp(test_fbp, "All")
# or
fbp(test_fbp, "A")
# For a single record:
fbp(test_fbp[7, ])
# For a section of the records:
fbp(test_fbp[8:13, ])
# fbp function produces the default values if no data is fed to
# the function:
fbp()