Fire Weather Index (Canadian Fire Weather Index System)

Also known as FWI · fire weather index · Canadian FWI · FWI system fire weather index · fire intensity index · Van Wagner FWI · CFFDRS FWI · ISI and BUI combined · fire danger index Canada · wildfire danger rating Canada

B=0.1 ISI f(U),FWI={BB≤1e2.72 (0.434 ln⁡B)0.647B>1,f(U)={0.626 U0.809+2U≤80100025+108.64 e−0.023 UU>80B = 0.1\,ISI\,f(U),\quad FWI = \begin{cases} B & B \le 1 \\ e^{2.72\,(0.434\,\ln B)^{0.647}} & B > 1 \end{cases},\quad f(U) = \begin{cases} 0.626\,U^{0.809} + 2 & U \le 80 \\ \dfrac{1000}{25 + 108.64\,e^{-0.023\,U}} & U > 80 \end{cases}

Units aren’t used in this calculation: every value is a plain number.

sig figs

Worked example: Manchester Airport: ISI 19.8, BUI 35.5 → FWI 30.2 (CWFIS). Press Try an example to run it live, then adjust anything.

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See also

Initial Spread Index (Canadian Fire Weather Index System): How fast a fire would spread, one of the two inputs to this index.Buildup Index (Canadian Fire Weather Index System): How much fuel is available to burn, the other input to this index.Daily Severity Rating (Canadian Fire Weather Index System): Turns this index into a rating that can be added up over days to give a season's severity.
Learning zone

Fire Weather Index (Canadian Fire Weather Index System) explained

how fastISIBUIhow much fuelFWI

The Fire Weather Index is the headline number of the Canadian Forest Fire Weather Index System. It rates how intense a fire would be if one started, by bringing together two inputs: the initial spread index ISIISI, a rating of how fast a fire would spread, and the buildup index BUIBUI, a rating of how much fuel is available to burn. It is a rating of weather and fuel moisture in a standard mature pine forest. It is not a prediction for any one fire, and it is not a physical intensity in kilowatts.

The calculation runs in stages. The buildup index, written UU in the formula, is first turned into a factor f(U)f(U), with one form up to 80 and a second form above it. That factor is multiplied by ISIISI and by 0.1 to give BB. Up to B=1B = 1 the index is just BB; above that it is stretched logarithmically, so that the scale does not run away at the high end. The index has no upper limit, and agencies set their own classes for it by region, so a value is read against the classes that apply where the station is. Higher means a more intense fire.

Worked examples. The station values below are from the Canadian Wildland Fire Information System of 22 Oct 2026. Manchester Airport, with ISIISI 19.8 and BUIBUI 35.5, has an index of 30.2. Albany has ISIISI 5.0 and BUIBUI 126.6, which is above 80, so the second form of f(U)f(U) applies, and the index is 21.6. Argentia, with ISIISI 1.9 and BUIBUI 3.8, falls where BB is 1 or less, so there is no stretching and the index is 0.7, a published value rounded to a tenth. The page also runs backward: an index of 30.2 at a buildup of 35.5 returns an ISIISI of 19.8.

Sources and limits. Van Wagner (1987) describes the development and structure of the system (Forestry Technical Report 35), and Wang, Anderson and Suddaby (2015) give updated source code for calculating its indices (Information Report NOR-X-424). Because the index rates conditions in a standard stand, not a particular fire, it tells you about the weather and the fuel moisture, not about what one fire will do.

Fire Weather Index (Canadian Fire Weather Index System) formula

B=0.1 ISI f(U),FWI={BB≤1e2.72 (0.434 ln⁡B)0.647B>1,f(U)={0.626 U0.809+2U≤80100025+108.64 e−0.023 UU>80B = 0.1\,ISI\,f(U),\quad FWI = \begin{cases} B & B \le 1 \\ e^{2.72\,(0.434\,\ln B)^{0.647}} & B > 1 \end{cases},\quad f(U) = \begin{cases} 0.626\,U^{0.809} + 2 & U \le 80 \\ \dfrac{1000}{25 + 108.64\,e^{-0.023\,U}} & U > 80 \end{cases}
Where
  • FWIFWI= Fire weather index (index)
  • ISIISI= Initial spread index (index)
  • UU= Buildup index (index)
Where this comes from
  • Van Wagner, C. E. (1987). Development and structure of the Canadian Forest Fire Weather Index System. Forestry Technical Report 35, Canadian Forestry Service, Ottawa (Open Government Licence - Canada).
  • Wang, Y., Anderson, K. R., & Suddaby, R. M. (2015). Updated source code for calculating fire danger indices in the Canadian Forest Fire Weather Index System. Information Report NOR-X-424, Canadian Forest Service, Northern Forestry Centre (Open Government Licence - Canada).
  • Natural Resources Canada, Canadian Wildland Fire Information System, fire weather stations table (Open Government Licence - Canada): the station values the anchors use, of 22 Oct 2026. Read it
Revised 30 October 2026
Cite this page

formula.expert. (2026, October 30). Fire Weather Index (Canadian Fire Weather Index System) Calculator. https://formula.expert/solvers/canadian-fwi-fire-weather-index