Initial Spread Index (Canadian Fire Weather Index System)

Also known as ISI · initial spread index · FWI system initial spread index · fire spread index from FFMC and wind · Van Wagner spread index · Canadian fire weather index ISI · 0.208 f(W) f(F) · rate of fire spread index · CFFDRS ISI

ISI=0.208 f(W) f(F),f(W)=e0.05039 W,f(F)=91.9 e−0.1386 m(1+m5.314.93×107),m=147.2 (101−F)59.5+FISI = 0.208\,f(W)\,f(F),\quad f(W) = e^{0.05039\,W},\quad f(F) = 91.9\,e^{-0.1386\,m}\left(1 + \frac{m^{5.31}}{4.93\times10^{7}}\right),\quad m = \frac{147.2\,(101 - F)}{59.5 + F}
index
FFMC
sig figs

Worked example: Manchester Airport: FFMC 90.9, 27.8 km/h → ISI 19.8 (CWFIS). Press Try an example to run it live, then adjust anything.

Enter your known values, leave one input blank, and solves for the missing one. Tap a variable’s symbol to see what it means, with a typical value. Change any unit and the answer follows.

Where Initial Spread Index (Canadian Fire Weather Index System) fits

Missing an input?
Your answer feeds

See also

Buildup Index (Canadian Fire Weather Index System): The other half of the fire weather index: how much fuel there is to burn, where this page measures how fast it would spread.Fire Weather Index (Canadian Fire Weather Index System): Takes this index and the buildup index and combines them into the intensity rating.Vapour Pressure Deficit (Air): How hard the air is drying the fine fuels, one of the weather inputs behind the fine fuel moisture code.Wind Chill (2001 North American Formula): Another Canadian index worked from the same station wind and temperature, for people instead of fuels.
Learning zone

Initial Spread Index (Canadian Fire Weather Index System) explained

WISIFFMCwetdry

The Initial Spread Index answers one question: how fast would a fire spread? It is the first of the three indices of the Canadian Forest Fire Weather Index System, and it is built from only two things, the wind and how dry the finest fuels are: needles, grass and the top of the litter. It says nothing about how much fuel is there; the buildup index does that. Natural Resources Canada publishes it every day for each weather station in the fire season. The index is a plain number with no unit, open-ended, and higher means faster.

The two inputs enter as a product. The wind factor is f(W)=e0.05039 Wf(W) = e^{0.05039\,W}, with WW the wind at 10 m in the open at the noon observation. Because it is exponential, each extra kilometre per hour raises the index by about 5 per cent, and the page does not cap it at high wind. The fuel factor starts from the fine fuel moisture code FF, which runs from 0 for soaked litter to 101 for bone-dry (90 is about 11 per cent moisture). The formula turns the code back into a moisture content, m=147.2 (101−F)/(59.5+F)m = 147.2\,(101 - F)/(59.5 + F), and then f(F)=91.9 e−0.1386 m(1+m5.31/4.93×107)f(F) = 91.9\,e^{-0.1386\,m}\left(1 + m^{5.31}/4.93\times10^{7}\right). The negative exponent makes the factor fall as the moisture rises. The constant 0.208 sets the scale of the product.

The worked example is a station of the Canadian Wildland Fire Information System (CWFIS) on 22 Oct 2026: Manchester Airport, with a code of 90.9 and wind of 27.8 km/h, rated 19.8. Bridgeport, with a drier code of 93.3 but a lighter wind of 20.4 km/h, rated 19.2, almost the same. Duck Lake, with damper fuel at 80.2 and a strong wind of 48.3 km/h, rated 13.2, which shows how much work the wind factor does when it is not capped; an index with the wind factor flattened above 40 km/h gives 11.3 there. The page also runs backwards: the wind CWFIS used at Duck Lake, 48.3 km/h, comes back from the index of 13.2 and the code of 80.2.

The sources are Van Wagner's 1987 report on the development and structure of the system and the 2015 updated source code of Wang, Anderson and Suddaby. The published index is rounded to a tenth, and the code and wind it was computed from are rounded as well, so the checks against the station table allow a tolerance of 0.3 to 1 per cent.

Initial Spread Index (Canadian Fire Weather Index System) formula

ISI=0.208 f(W) f(F),f(W)=e0.05039 W,f(F)=91.9 e−0.1386 m(1+m5.314.93×107),m=147.2 (101−F)59.5+FISI = 0.208\,f(W)\,f(F),\quad f(W) = e^{0.05039\,W},\quad f(F) = 91.9\,e^{-0.1386\,m}\left(1 + \frac{m^{5.31}}{4.93\times10^{7}}\right),\quad m = \frac{147.2\,(101 - F)}{59.5 + F}
Where
  • ISIISI= Initial spread index (index)
  • FF= Fine fuel moisture code (FFMC)
  • WW= Wind speed (km/h)
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). Initial Spread Index (Canadian Fire Weather Index System) Calculator. https://formula.expert/solvers/canadian-fwi-initial-spread-index