
Wildfire Risk Management S
Submitted by
|
B.A. Blackwell & Associates Ltd. V7J 3B5 |
Submitted to
Bruce Hall, Fire Chief
Whistler, B.C.
V0N 1B4
November 2005
& Associates Ltd.

B.A. Blackwell
Table of Contents
3 The Resort Municipality of Whistler and surrounding area
4.2 Development of Probability Theme
4.2.1 Probability of Ignition Component
4.2.2 Fire Behaviour Component
4.2.3 Suppression Response Capability Component
4.3 Development of Consequence Theme
4.3.1 Recreation Use Component
4.3.3 Visual Quality Component
4.3.4 Urban Interface Component
6 Applications in the Fire Management Plan for the RMOW
Appendix 1: WRMS model subcomponent rating scales and weights
Appendix 2: The Wildfire Ignition Probability Prediction System ( WIPPs )
Lists of Figures
Figure
2. Overview of the study area
Figure
3. RMOW Wildfire Risk Management System
(WRMS) model structure.
Figure
4. Component level rating example:
Suppression Response Capability.
Figure
5. RMOW Wildfire Risk Management model
interface.
Figure
6. Probability of Ignition component and
associated subcomponents.
Figure
8. Graphic that shows factors affecting spotting.
Figure
10. Suppression response capability
component and associated subcomponents.
Figure
11. Recreation Use component and
associated subcomponents.
Figure
12. Air Quality component and associated
subcomponents.
Figure
13. Visual Quality component and associated
subcomponents.
Figure
14. Urban Interface component and
associated subcomponents.
Figure
15. Biodiversity component and
associated subcomponents.
Figure
16. Summary mapping outputs from the
RMOW Wildfire Risk Management System.
Figure
17. Final overlay of probability and
consequence
Figure
18. Initialized weights on all
components.
Lists of Tables
Table
2. Summary of spotting distance applied in the analysis by species and
windspeed.
In 2004, the Resort Municipality of Whistler (RMOW) began
the development a Wildfire Risk Management S
This project builds on the wildfire threat anal
Definitions of the term “risk” and all its derivatives (i.e., risk management, risk assessment, risk evaluation) are inconsistent in the wildfire literature, perhaps as a legacy of the fact that most wildfire research has been broken down into specialty topics such as fire behaviour, fire effects, and fire history/occurrence. For the purposes of the WRMS, wildfire risk is defined as the probability and consequence of wildfire at a specified location under specified conditions. This definition is consistent with the generic definition of risk and its derivative terms being adopted in many jurisdictions worldwide (Canadian Standards Association 1997, Council of Standards Australia/New Zealand 1999, International Standards Organization 2002).
Analytically, the WRMS approach to wildfire risk assessment provides a spatial characterization of risk based on probability and consequence ratings. In other words, the WRMS can indicate, at any given location and under specified conditions, what the probability of wildfire occurring is and, for a given wildfire behaviour, what the potential consequences on valued resources are.
In other fields of risk management (e.g., hazardous materials management), a single resultant quantification of probability and consequence is often derived mathematically. However, in the case of wildfire risk assessment it has been found (as in Bachmann and Allgower 1998) more useful to keep these elements separate, since they may imply different management approaches spatially. Figure 1 shows how various combinations of probability and consequence can imply the basic management strategies. In practice, the implementation of this risk management approach requires a detailed spatial examination of assessment results across a full continuum from low to high ratings.

Figure 1. Conceptual representation of risk assessment/management as the resultant of two factors, Probability and Consequence
The project study area is 111,365
hectares and spans the Highway 99 Sea to Sky corridor from just north of
Squamish to just south of Pemberton (Figure
2). Elevations
range from 130 to 2500 meters. A
comprehensive ecological inventory of ecos
Wildfire is a natural disturbance agent in a portion of this heavily forested, coastal landscape. Historically these areas have been exposed to low frequency (300-600 years), high severity stand replacement fires (Green et al. 1998). Although the probability of large wildfires within the study area is considered generally low, the consequences associated with a large wildfire could be devastating to both the RMOW and the adjacent urban interface communities along the corridor. Air quality, urban interface, recreation use, visual quality and biodiversity are important values that must be considered in a wildfire risk assessment of the RMOW and surrounding area.

Figure 2. Overview of the study area
In recent years, fire management within the study area has
focused on initial attack and all wildfires have been actively suppressed.
The purpose of this WRMS was to create a spatial
representation of all factors that influence the probability and consequence of
wildfire in the study area. The basic
model structure was similar to the one used in 2004 in the Greater Vancouver
Watersheds (GVWD); it was further developed and refined through a series of
workshops with RMOW Staff. The model was
implemented in a
The final WRMS model structure is portrayed in Figure 3. The final spatial probability rating was derived from three major components: Ignition Probability, Fire Behaviour, and Suppression Response Capability. The final spatial consequence rating was derived from five major components that were significant within the study area: Air Quality, Urban Interface, Recreation Use, Visual Quality and Biodiversity. Each main model component was in turn derived from several subcomponents as shown in the Figure 3.

Figure 3. RMOW Wildfire Risk Management S
At the subcomponent level, individual ratings for each
raster cell were developed on 0-10 scales based on existing bioph
At the component level, the rating for each raster cell was calculated as a weighted sum of all its subcomponents. Figure 4 provides an example of the rating scales and subcomponent weighting for the Suppression Response Capability component. All other components were derived in a similar manner (see Appendix 1). Similarly, at the overall rating level for probability or consequence, the rating for each raster cell was calculated as a weighted sum of all its components.

Figure 4. Component level rating example: Suppression
Response Capability.
Table 1. Overview of Methods, Databases and
Sub-Models for each Subcomponent of the RMOW Wildfire Risk Management S
|
|
Component |
Database/Sub-Model |
|
||
|
Probability
Rating |
Probability of
Ignition |
Ignition
Potential |
Calculation
based on fuel type and fire weather indices |
|
|
|
Lightning
Caused Fire |
Inverse
distance weighted interpolation of the number of lightning fire ignition
points (since 1950) within a 500m buffer |
-
ESRI Spatial Anal
|
|
||
|
Human
Caused Fire |
Inverse
distance weighted interpolation of the number of human fire ignition points
(since 1950) within a 500m buffer |
-
ESRI Spatial Anal
|
|
||
|
Fire
Behaviour |
Fire
Intensity |
Calculation
using fire weather, fuel type and topography |
|
|
|
|
Rate
of Spread |
Calculation
using fire weather, fuel type and topography |
|
|
||
|
Crown
Fraction Burned |
Calculation
using fire weather, fuel type and topography |
|
|
||
|
Suppression
Response Capability |
Constraints
to Detection |
Average
elevation above valley bottom of forest inventory polygon |
|
|
|
|
Proximity
to Water Sources |
Buffer
distance from determinant streams and lakes |
-
TRIM |
|
||
|
Air
Tanker Arrival Time |
Measured
flight time (concentric) from air tanker base |
|
|
||
|
Terrain
Steepness |
Average
slope of forest inventory polygon |
|
|
||
|
Proximity
to Roads/Helipads |
Buffer
distance from roads, helipads, and alpine tundra/parkland |
|
|
||
|
Consequence
Rating |
Recreation
Use |
Parks |
Provincial
and municipal park boundaries |
|
|
|
Special
Features |
100m
buffer around feature |
|
|
||
|
Air
Quality |
Proximity
to Population |
Buffer
distance from urban interface |
|
|
|
|
Smoke
Production Potential |
Smoke
production as a function of seral stage |
|
|
||
|
Smoke
Venting Potential |
Average
elevation above valley floor of forest inventory polygon |
|
|
||
|
Smoke
Venting Index |
Smoke
dispersion rating based on long-term monthly averages. |
|
|
||
|
Visual
Quality |
Visual
Quality |
Areas
delineated as visually sensitive from local vantage points |
|
|
|
|
Urban
Interface |
Interface |
Buffer
distance from interface areas |
|
|
|
|
Infrastructure |
Buffer
distance from urban interface |
|
|
||
|
Watersheds |
Buffer
distance from transmission lines |
-
Provincial & RMOW spatial data |
|
||
|
Biodiversity |
Red
& Blue Listed Elements |
Areas
containing red and/or blue listed species or ecos |
|
|
|
|
Protected
Area Network |
Spatial
dataset created from terrestrial ecos |
|
|||
|
Other
High Value Biodiversity Areas |
100m
buffer around feature |
-
RMOW spatial data |
|||
1FORTester v1.0 (Canadian
Forest Service 2002); 2ESRI
Spatial Anal
From a functionality perspective, the WRMS interface
provides several unique features (Figure
5). Managers are
able to turn on or off various subcomponents or components in the model, which
allows the quick and efficient exploration of model interdependencies and the
ability to analyze individual spatial ratings.
There is also the ability to enter and test various combinations of
weights at both the component and subcomponent level, which allows the
exploration of specific fire management questions (e.g., what if we increase our suppression resources) and the s
Finally, the model was developed with four user-input
functions to support specific analytical requirements. Users can select the

Figure 5. RMOW Wildfire Risk Management model interface.
4.2.1 Probability of Ignition Component
The probability of ignition component was divided into three subcomponents: fires caused by lightning, fires caused by human activity and ignition potential (Figure 6). The subcomponent rating scales and assigned initial weights are shown in Appendix 1.
Lightning and Human Caused Fire
The
first two subcomponents, lightning and human caused fires, were based on
historical fire frequency and cause in the study area from 1950 to 2004. Fire history records from the Ministry of
Forest Protection Branch were translated into spatial points within the
![]()
where: n is the number of
scatter points in the set; fi are the prescribed function values at the scatter
points (e.g. the data set values),
and; wi
are the weight functions assigned to each scatter point.
The classical form of the weight function is:

where: p is an arbitrary
positive real number called the power parameter (typically, p=2), and; hi
is the distance from the scatter point to the interpolation point, or
![]()
where: (x,y)
are the coordinates of the interpolation point, and; (xi,yi) are the coordinates of each scatter point.
The weight function varies from a value of unity
at the scatter point to a value-approaching zero as the distance from the
scatter point increases. The weight
functions are normalized so that the weights sum to unity.
The
effect of the weight function was that the surface interpolated each scatter
point and was influenced most strongly between scatter points by the points
closest to the point being interpolated.
The third subcomponent, ignition potential, was an indicator
of the potential for fire ignition based on fuel type and 90th
percentile fire weather conditions (historic fire weather representing 90% of
the most extreme conditions recorded).
It was calculated using the Wildfire Ignition Probability Predictor
(WIPP), a tool from FORTester v1.0 (Lawson et al.
1993, Bernie Todd personal communication.). The model determined the
probability of sustained ignition from simulated people-caused fire brands
(matches and camp fires) and predicted, in broad classes (“no-fire day” less
than 50% probability of sustained ignition and “fire day” greater than 50%
probability), from readily available indicators of fire danger based on
benchmark fuel type groups applicable to British Columbia (Appendix 2). Ignition probabilities expressed on an area
basis provided a measure of people-caused fire potential from simple fire
danger rating s

Figure 6. Probability of Ignition
component and associated subcomponents.
4.2.2
The WRMS model developed for the RMOW was designed to accept
a range of fire weather conditions. The fire behaviour component estimated how
wildfire would behave under historic weather conditions that have occurred over
the recorded climate record for the Municipality. Information was compiled that related
stand-level fuel types, slope, aspect, and fire weather for the study
area. The resulting data was processed
through the
The Canadian Fire Behaviour Prediction S
Weather
Fire
weather data (temperature, relative humidity, precipitation, and wind speed)
was used to calculate Fine Fuel Moisture Code (FFMC) and Build-Up Index
(BUI). Fire behaviour was subsequently
modeled in
The fire intensity subcomponent was a measure of the rate of heat energy released per unit time per unit length of fire front. It was based on the rate of spread and predicted fuel consumption of the fire, and was expressed in kilowatts per meter (Pyne 1984).
The rate of spread subcomponent was a measure of the speed at which fire expands its horizontal dimensions at the head of the fire. This was based on the hourly Initial Spread Index (ISI) value and was expressed in meters per minute. The rate of spread was adjusted for steepness of slope and interactions between slope direction and wind direction determined from the Build-Up Index (BUI).
The crown fraction burned subcomponent was a measure of the proportion of the tree crowns consumed by fire and was expressed as a percentage value. It was based on rate of spread, crown base height and foliar moisture content.

Figure 7. Fire Behaviour component and associated
subcomponents for the 90% percentile July/August weather conditions applying a
windspeed of 9 kilometers
Calculation of Spotting Distances
The calculation of spotting distance for individual forest polygons was based on the predictive spotting models contained within BEHAVE (USDA Forest Fire Behaviour prediction software). Spotting models were originally devised to predict the maximum distance burning embers would travel over flat and regularly undulating terrain. The balance between particle size, burnout rate, and time or distance traveled determines maximum spotting distance (Figure 8). Smaller particles are lofted higher and transported further, but burnout sooner than larger particles.

Figure 8. Graphic that shows factors affecting spotting.
Table 2. Summary of spotting distance applied in
the anal
|
Sp |
S9 |
S16 |
S34 |
S45 |
|
|
Ba |
0.40 |
0.69 |
1.49 |
1.98 |
|
|
Cw |
0.36 |
0.60 |
1.32 |
1.75 |
|
|
Fdc |
0.41 |
0.68 |
1.51 |
2.01 |
|
|
H |
0.36 |
0.60 |
1.31 |
1.73 |
|
|
Hm |
0.36 |
0.62 |
1.34 |
1.80 |
|
|
Hw |
0.36 |
0.60 |
1.31 |
1.73 |
|
|
Pl |
0.30 |
0.50 |
1.10 |
1.40 |
|
|
Yc |
0.27 |
0.47 |
1.13 |
1.23 |
|
|
|
|
|
|
|
|

Figure 9. Map
showing the polygon assignment of spotting distances based on fuel type, and
fire behaviour potential for a 16 kph windspeed.
4.2.3 Suppression Response Capability Component
Ability to suppress wildfire was dependent on the speed of detection, terrain, accessibility and availability of resources. Five subcomponents were used to determine overall suppression response capability. These included constraints to detection, proximity to water sources, air tanker arrival time, steepness of terrain, and proximity to roads and helipads (Figure 10). The subcomponent rating scales and assigned initial weights are shown in Appendix 1.
In
Proximity to water sources was delineated using the hydrological base and only included determinant (perennial) water sources. Proximity to water sources for fire suppression (an indicator of the ability to access water quickly for fire fighting) was evaluated by creating a 100 m and 300 m buffer around all determinant rivers, creeks and lakes. Areas outside of the 300 m buffer were given the maximum subcomponent rating.
The air tanker arrival time subcomponent was determined based on the distance from the closest air tanker base to the study area, the Abbotsford base. The ratings increased with greater distance from the base.
Steepness of terrain influences the ability of a ground crew to build fireguards and carry out ground suppression. Average slope class was determined from the terrain data and ratings were assigned according to slope class.
Proximity to roads was used to evaluate the accessibility of suppression resources reaching areas within a given landscape unit. It was evaluated based on a bush-walking rate of 1 km/h. Proximity to roads and helipads was rated by creating buffers around all roads and helipads in the study area and assigning weights relative to walking time from these areas. Alpine tundra was included as area accessible by helicopter.

Figure 10. Suppression response
capability component and associated subcomponents.
4.3.1 Recreation Use Component
Providing recreation opportunity is an important mandate of the RMOW. Although the probability of lightning caused forest fires within the study area is considered low, human caused fires present a substantial threat to the community. Overall, the consequence of fire impact on recreation use would be considerable.
The
recreation use consequence component was developed using
Parks
All municipal parks within the RMOW (Alpha Lake, Balsam,
Brio, Dream river, Emerald, Eva Lake, Fits Creek Skateboard, Fitzsimmons Creek,
Green Lake, Lakeside, Lost Lake, Meadow, Millar’s Pond, Myrtle Philip School,
Rainbow, Snowflake, Spruce Grove and Wa
Special Features
Several important recreation areas outside of the municipal
boundary would be put in jeopardy by wildfire.
These include the ancient cedars near the trophy lakes,

Figure 11. Recreation Use component and associated
subcomponents.
4.3.2
Wildfire within, and or, adjacent to the RMOW has the
potential to substantially impact the air quality of the entire valley bottom
within the community. Heavy wildfire caused smoke could force a large-scale
evacuation of the RMOW lasting several da
The
WRMS s
Proximity to Population Centers
The proximity to population subcomponent was based on distance to population centers (urban interface). The ratings in this subcomponent were assigned with the assumption that wildfire in close proximity to residential areas would have more potential to impact air quality (with smoke emissions, ash and embers) than wildfire occurring far from residential areas.
Smoke production is based on several factors including the moisture content of the fuel, the heat of combustion and, most importantly, the amount of fuel present on a given site. Available biomass (a function of structural stage) was used as a surrogate for smoke production potential. It was assumed that higher amounts of biomass (forest floor and dead and living vegetation) contributed to increased amounts of smoke production. Smoke production potential was greatest in old forest of the Coastal Western Hemlock (CWH) zone, followed by young forest, old forest of the Mountain Hemlock (MH) and Engelmann Spruce –Subalpine fir (ESSF) zones, and finally, shrub herb. Old forest in the CWH was delineated from the ESSF and MH old forest because the amount of available biomass that contributes to flaming combustion is substantially lower in the ESSF and MH zones compared to the CWH zone.
The ability of the atmosphere to disperse and transport
smoke is commonly estimated using the ventilation index (VI), which is forecast
daily by Environment
On any given day any range of ventilation conditions can
occur, however, there is some seasonality to the ventilation index that makes
the occurrence of good to poor ventilation index da

Figure 12. Air Quality component and associated
subcomponents.
4.3.3 Visual
Quality Component
Visual
quality within the RMOW is considered fundamental to the maintenance and
integrity of the Community of Whistler as a world-class resort. Large-scale
fire has the potential to blacken much of the landscape, which would impair
visual quality and therefore impact the resort experience. The visual quality
component provided a rating of the impact of a fire on visual quality from
regional and local vantage points in the RMOW.
Visual quality

Figure 13. Visual Quality component
and associated subcomponents.
4.3.4 Urban
Interface Component
The Urban Interface component provided a rating of the potential for fire to pose a direct threat to people and property located in and around the RMOW. It contained three subcomponents: interface, infrastructure and watersheds (Figure 14). The subcomponent rating scales and assigned initial weights are shown in Appendix 1.
Interface
The interface subcomponent was an indicator of threat to property and was based on structure density determined using TRIM. All anthological building features were extracted from this data set and buffered such that structural classes could be assigned based on their density on the landscape. It was recognized that interface wildfire risk is influenced by other factors out of RMOW control, including building materials (i.e. unrated roofing materials), defensible space around structures, access, water availability and vegetation within the proximity of homes.
Interface density classes were delineated as follows:
Undeveloped 0-1 structures/km2
Isolated =1-10 structures/km2
Mixed = 10-100 structures/km2
Developed = 100-1000 structures/km2
Urban = > 1000 structures/km2
The urban class was assigned a maximum rating, while area with no structures was assigned a rating of zero.
Infrastructure
The infrastructure subcomponent was an indicator of fire risk to key infrastructure within the RMOW. Only infrastructure of immediate importance during a wildfire was included. For example, the hydro right-of-way was included because the shutdown of this transmission line could cause considerable economic loss and or unacceptable social consequences to all communities along the sea to sky corridor and in areas of the lower mainland. Key infrastructure was comprised of the health care center, reservoir pumping stations, fuel storage, the hydro right-of-way, and the fire hall. All point locations were buffered by 500m and given maximum ratings.
Watersheds
The watershed subcomponent was developed as an indicator of the risk to water supply and water quality. Whistler’s water supply is serviced by surface water from key drainages adjacent to the Municipality. Given the importance of water to the community, watersheds within the study area were given maximum ratings.

Figure 14. Urban Interface component and associated
subcomponents.
4.3.5 Biodiversity Component
The
ecos
The area outside the RMOW but inside the study area contained
only two noted locations of one element at risk; the blue listed nodding semaphoregrass (Pleuropogon
refractus).
However, these data are considered incomplete. There is a high probability that the area
contains other important habitat for other elements at risk. Within the RMOW,
Whistler Terrestrial Ecos
Protected Area Network
Through the Whistler Environmental Strategy, the RMOW has
established a Protected Area Network (PAN). The strategic goal of the PAN is to
protect, within Municipal boundaries, an ecologically viable network of
critical areas (Whistler Environmental Strategy 2004). Utilizing
Other High Value Biodiversity Areas
Several other high value biodiversity areas outside of the
RMOW were included to account for the absence of TEM data. These included the Soo and Pinecrest
wetlands,

Figure 15. Biodiversity component and
associated subcomponents.
A schematic compilation of mapping outputs from the initial
implementation of the RMOW Wildfire Risk Management S
·
Subcomponents maps are generated using 0-10
rating scales derived from existing
· Component maps are generated using user-defined weights on each subcomponent (see Appendix 1);
· Final probability and consequence rating maps are generated using user-defined weights on each component (Figure 16), and;
· A final probability/consequence overlay map is generated by overlaying the final rating maps (Figure 17).

Figure 17. Final
overlay of probability and consequence
As shown in Figure 16 and all of the maps in Section 4, each component and subcomponent map applies a similar white-green-yellow-orange-red colour scheme depicting ratings on 0 – 10 scales. An expanded color scheme was used to show all probability/consequence combinations for the final interpretation. In this manner the final probability/consequence overlay map in Figure 17 reflects the full range of risk spatially, within the municipality, from ‘low probability- high consequence’ areas through to ‘high probability-low consequence’ areas for extreme fire conditions.
These final mapping outputs are the result of multiple interactive workshops, during which the project team evaluated the accuracy and consistency of each subcomponent and component. The initial weights used to generate these outputs at the component level are shown in Figure 18.
In overview, the area of highest consequence is located
within the interface areas of the RMOW.
This was expected given the identified values at risk. In terms of wildfire probability, there is a
relatively large area of moderate to high fire probability in the valley bottom
where the town of

Figure 18. Initialized weights on all components.
The data provided by the TEM inventory was fundamental to
the development of many of the underlying spatial
However, one concern directly related to the fire management data used as part of this project was fuel typing. Since these data sources are fundamental to the development of the fire behaviour themes, we expand on these concerns below.
5.2.1
As part of the provincial fuel type classification program,
the Ministry of Forests Protection Branch completed fuel typing of the RMOW
(Hawkes et. al. 1995). This
classification applies the Canadian Fire Behavior Prediction (
For some of the fuel types present in the watershed there is
a reasonable fit with
However, for other fuel types, the relationship is considered poor. In particular, the old forests surrounding
the RMOW, which represent a significant portion of the total area, do not
correspond well with any of the
In addition to the issue identified for M2, the provincial fuel type inventory incorrectly classified a significant area of forest plantation as deciduous fuel type D1. This was primarily the result of changes in the forest cover between 1997 and the present. The original classification was based on a 1997 inventory, at which time many of the plantations were dominated by a shrub and deciduous component. Over the past eight years, many of these plantations have become dominated by coniferous species resulting in a shift from a deciduous fuel type to a coniferous fuel type. This change was identified as part of ground and data checking that occurred during the project.


Figure 19.
Comparison of original MOF fuel typing
(top) and updated fuel typing (bottom) for the RMOW
The development of the RMOW WWRMS has benefited from the collaborative approach of the Municipality. This translated to a willingness to learn and explore the fire risk elements that could impact the Municipality. The process has allowed interested parties to participate in the various phases of model development and has created a dynamic learning environment for overall fire management planning. The model provides useful outputs to assist in developing strategic fire management strategies.
The ROMW WRMS provides a comprehensive assessment of the wildfire risk within and adjacent to the community. The assessment can be used to further develop strategic fire management zones for the fire management program as described within the Fire Management Plan.
Fire protection
resources can undergo a detailed evaluation of suppression response capability.
The level of risk, as identified by the fire management zones, can prioritize
efficient use of these resources. By improving the fire suppression capability,
the risk of wildfire can be reduced. This may require the acquisition of more
resources (water delivery s
Full implementation of
the WRMS s
As mentioned above,
the WRMS identifies
The current WRMS has
utilized the most appropriate fuel types from the Canadian Fire Behaviour
Prediction S
We acknowledge the active participation of Bruce Hall, Don
McLaurin, Heather Beresford, Paul Beswetherick,
Bill Barrett, and Rob Witton from the Resort Municipality of Whistler.
Blackwell, B.A. and D.W. Ohlson. 2004. GVRD Watershed
Wildfire Risk Management S
Blackwell, B.A., Gray, R.W., Steele, F.M., Needoba, A.J., Green,
R.N., and K. MacKenzie. 2003. A wildfire threat rating s
Canadian Standards Association, 1997. Risk Management:
Guideline for Decision-Makers: A
Council of
Standards
Green, R.N., B.A. Blackwell, K. Klinka, and J. Dobry. 1998. Partial reconstruction of fire history in the Capilano watershed. Contract report to the Greater Vancouver Water District.
Hawkes, B.
and Beck, J. 1997. A wildfire threat rating s
International
Standards Organization, 2002. Risk Management
Vocabulary, Guidelines for use in Standards. First
Edition. ISO/IEC Guide 73:2002(E/F).
Hawkes, Brad
C., David Almost Goodenough, Bruce Lawson, Alan
Thomson, Olaf Niemann,
Peter Fuglem, Judi Beck, Bryan Bell, and Phil Symington. "
Lawson, B.D., O.B. Armitage, and
G.N. Dalrymple. 1993. Ignition
probabilities for simulated people-caused fires in
Muller, C.
1993. Wildfire threat anal
management. Paper presented at "The Burning Question: Fire Management
in
NSW",
Pyne, S.J. 1984.
Introduction to Wildland Fire:
Taylor, S. R.G. Pike, and M.E. Alexander. 1997. Field guide
to the Canadian Forest Fire Behavior Prediction (FPB) S
Vodopier, J.;
Haswell, D. 1995. The application of wildfire threat
anal








(1) Format of the
Standard WIPP Equation is :
P = 1 / {1 + exp[ B0 + B1*FFMC + B2*
(2) Standard Association of
Table 1 provides the suggested standard association of WIPP
equation to
(3) Possible
Association of WIPP Equations to
The
option exists to change the choice of the WIPP equation, which is used for each
(4) Relationship of WIPP Equations to General Fuel Type and Provincial Experimental Sites
Table 3 details the general fuel types and provincial test sites that were used to create the individual WIPP equations.
References
Lawson, B.D., O.B. Armitage, and G.N. Dalrymple. 1994a. Ignition probabilities for simulated people-caused fires in
B.C.’s lodgepole pine and white spruce-alpine fir forests. Pages 493-505 in Proc.12th Conf. On Fire &
Lawson, B.D., O.B. Armitage. 1997. Ignition Probability Equations for some Canadian Fuel Types. Report submitted to the Canadian Committee on Forest Fire Management. (Draft report ).
Table 1 : Standard Association of
|
|
WIPP Eqn |
WIPP Equation |
|
C1 |
1A |
P =
1/( 1+EXP( 5.061 - 0.086*FFMC )) |
|
C2 |
9C |
P =
1/( 1+EXP( 33.299 - 0.353*FFMC - 0.057* |
|
C3 |
6A |
P =
1/( 1+EXP( 2.199 - 0.021* |
|
C4 |
6-5012 |
P =
1/( 1+EXP( 3.731 - 0.079* |
|
C5 |
9BC |
P =
1/( 1+EXP( 2.766 - 0.005*DC -0.396*ISI )) |
|
C6 |
BC Dry Pine |
P =
1/( 1+EXP( 2.107 - 0.727*ISI )) |
|
C7 |
4BC |
P =
1/( 1+EXP( 1.563 - 0.005*BUI - 0.478*ISI)) |
|
D1 |
8C |
P =
1/( 1+EXP( 12.781 - 0.121*FFMC - 0.032* |
|
D2 |
8 |
P =
1/( 1+EXP( 14.0 - 0.121*FFMC - 0.010* |
|
M1 |
7A |
P =
1/( 1+EXP( 25.540 - 0.264*FFMC - 0.036* |
|
M2 |
9BC |
P =
1/( 1+EXP( 2.766 - 0.005*DC -0.396*ISI )) |
|
M3 |
9A |
P =
1/( 1+EXP( 2.144 - 0.423*ISI )) |
|
M4 |
9BC |
P =
1/( 1+EXP( 2.766 - 0.005*DC -0.396*ISI )) |
|
S1 |
2A |
P =
1/( 1+EXP( 7.219 - 0.107*FFMC )) |
|
S2 |
2A |
P =
1/( 1+EXP( 7.219 - 0.107*FFMC )) |
|
S3 |
2A |
P =
1/( 1+EXP( 7.219 - 0.107*FFMC )) |
|
O1a |
SaA |
P =
1/( 1+EXP( 0.161 - 0.016* |
|
O1b |
SaA |
P =
1/( 1+EXP( 0.161 - 0.016* |
Table 2: Possible Association of WIPP Equations to
|
|
WIPP Eqn |
WIPP Equation |
|
|
|
|
|
C1 |
1A |
P = 1/ ( 1+EXP( 5.061 - 0.086*FFMC )) |
|
C1 |
1B |
P = 1/ ( 1+EXP( 1.965 - 0.704*ISI )) |
|
C1 |
1C |
P = 1/ ( 1+EXP( 0.837 - 1.020*ISI )) |
|
|
|
|
|
C2 |
9C |
P = 1/( 1+EXP( 33.299 - 0.353*FFMC - 0.057* |
|
C2 |
9A |
P = 1/( 1+EXP( 2.144 - 0.423*ISI )) |
|
C2 |
9B |
P = 1/( 1+EXP( 10.675 - 0.112*FFMC - 0.100* |
|
C2 |
9D |
P = 1/( 1+EXP( 11.677 - 0.123*FFMC - 0.027* |
|
C2 |
9E |
P = 1/( 1+EXP( 6.438 - 0.077* |
|
C2 |
9BC |
P = 1/( 1+EXP( 2.766 - 0.005*DC - 0.396*ISI )) |
|
|
|
|
|
C3 |
6A |
P = 1/( 1+EXP( 2.199 - 0.021* |
|
C3 |
6-5012 |
P = 1/( 1+EXP( 3.731 - 0.079* |
|
C3 |
6-6017 |
P = 1/( 1+EXP( 1.754 - 0.021* |
|
C3 |
6B |
P = 1/( 1+EXP( 14.424 - 0.171*FFMC - 0.017* |
|
C3 |
BC Dry Pine |
P = 1/( 1+EXP( 2.107 - 0.727*ISI )) |
|
C3 |
BC Moist Pine |
P = 1/( 1+EXP( 2.146 - 0.009*BUI -0.349*ISI )) |
|
|
|
|
|
C4 |
6-5012 |
P = 1/( 1+EXP( 3.731 - 0.079* |
|
C4 |
6A |
P = 1/( 1+EXP( 2.199 - 0.021* |
|
C4 |
6-7015 |
P = 1/( 1+EXP( 2.199 - 0.022* |
|
C4 |
6B |
P = 1/( 1+EXP( 14.424 - 0.171*FFMC - 0.017* |
|
C4 |
BC Dry Pine |
P = 1/( 1+EXP( 2.107 - 0.727*ISI )) |
|
C4 |
BC Moist Pine |
P = 1/( 1+EXP( 2.146 - 0.009*BUI -0.349*ISI )) |
|
|
|
|
|
C5 |
9BC |
P = 1/( 1+EXP( 2.766 - 0.005*DC -0.396*ISI )) |
|
C5 |
6A |
P = 1/( 1+EXP( 2.199 - 0.021* |
|
C5 |
9A |
P = 1/( 1+EXP( 2.144 - 0.423*ISI )) |
|
C5 |
9E |
P = 1/( 1+EXP( 6.438 - 0.077* |
|
|
|
|
|
C6 |
BC Dry Pine |
P = 1/( 1+EXP( 2.107 - 0.727*ISI )) |
|
C6 |
9BC |
P = 1/( 1+EXP( 2.766 - 0.005*DC -0.396*ISI )) |
|
C6 |
6A |
P = 1/( 1+EXP( 2.199 - 0.021* |
|
C6 |
6-5012 |
P = 1/( 1+EXP( 3.731 - 0.079* |
|
C6 |
9C |
P = 1/( 1+EXP( 33.299 - 0.353*FFMC - 0.057* |
|
C6 |
9D |
P = 1/( 1+EXP( 11.677 - 0.123*FFMC - 0.027* |
|
|
|
|
|
C7 |
4BC |
P = 1/( 1+EXP( 1.563 - 0.005*BUI - 0.478*ISI )) |
|
|
|
|
Table 2 : Possible Association of WIPP Equations to
|
|
WIPP Code |
WIPP Equation |
|
|
|
|
|
D1 |
8C |
P = 1/( 1+EXP( 12.781 - 0.121*FFMC - 0.032* |
|
D1 |
8A |
P = 1/( 1+EXP( 3.503 - 0.044* |
|
D1 |
8B |
P = 1/( 1+EXP( 5.026 - 0.233*ISI )) |
|
|
|
|
|
D2 |
8 |
P = 1/( 1+EXP( 14.0 - 0.121*FFMC - 0.010* |
|
|
|
|
|
M1 |
7A |
P = 1/( 1+EXP( 25.540 - 0.264*FFMC - 0.036* |
|
M1 |
7B |
P = 1/( 1+EXP( 45.827 - 0.491*FFMC )) |
|
|
|
|
|
M2 |
9BC |
P = 1/( 1+EXP( 2.766 - 0.005*DC -0.396*ISI )) |
|
M2 |
9A |
P = 1/( 1+EXP( 2.144 - 0.423*ISI )) |
|
M2 |
9B |
P = 1/( 1+EXP( 10.675 - 0.112*FFMC - 0.100* |
|
M2 |
9C |
P = 1/( 1+EXP( 33.299 - 0.353*FFMC - 0.057* |
|
M2 |
9D |
P = 1/( 1+EXP( 11.677 - 0.123*FFMC - 0.027* |
|
M2 |
9E |
P = 1/( 1+EXP( 6.438 - 0.077* |
|
|
|
|
|
M3 |
9A |
P = 1/( 1+EXP( 2.144 - 0.423*ISI )) |
|
M3 |
9B |
P = 1/( 1+EXP( 10.675 - 0.112*FFMC - 0.100* |
|
M3 |
9C |
P = 1/( 1+EXP( 33.299 - 0.353*FFMC - 0.057* |
|
M3 |
9D |
P = 1/( 1+EXP( 11.677 - 0.123*FFMC - 0.027* |
|
M3 |
9E |
P = 1/( 1+EXP( 6.438 - 0.077* |
|
M3 |
9BC |
P = 1/( 1+EXP( 2.766 - 0.005*DC -0.396*ISI )) |
|
|
|
|
|
M4 |
9BC |
P = 1/( 1+EXP( 2.766 - 0.005*DC -0.396*ISI )) |
|
M4 |
9A |
P = 1/( 1+EXP( 2.144 - 0.423*ISI )) |
|
M4 |
9B |
P = 1/( 1+EXP( 10.675 - 0.112*FFMC - 0.100* |
|
M4 |
9C |
P = 1/( 1+EXP( 33.299 - 0.353*FFMC - 0.057* |
|
M4 |
9D |
P = 1/( 1+EXP( 11.677 - 0.123*FFMC - 0.027* |
|
M4 |
9E |
P = 1/( 1+EXP( 6.438 - 0.077* |
|
|
|
|
|
S1 |
2A |
P = 1/( 1+EXP( 7.219 - 0.107*FFMC )) |
|
S2 |
2A |
P = 1/( 1+EXP( 7.219 - 0.107*FFMC )) |
|
S3 |
2A |
P = 1/( 1+EXP( 7.219 - 0.107*FFMC )) |
|
|
|
|
|
O1a |
SaA |
P = 1/( 1+EXP( 0.161 - 0.016* |
|
O1a |
SbA |
P = 1/( 1+EXP( 46.942 - 0.508*FFMC -0.063* |
|
|
|
|
|
O1b |
SaA |
P = 1/( 1+EXP( 0.161 - 0.016* |
|
O1b |
SbA |
P = 1/( 1+EXP( 46.942 - 0.508*FFMC -0.063* |
|
|
|
|
Table 3 : Relationship of WIPP Equations to General
Fuel Type