Buildup Index (Canadian Fire Weather Index System)

Also known as BUI · buildup index · FWI system buildup index · available fuel index · duff moisture and drought code combined · Van Wagner buildup index · CFFDRS BUI · 0.8 DMC DC / (DMC + 0.4 DC) · total fuel available to burn index

U={0.8 P DP+0.4 DP≤0.4 DP−(1−0.8 DP+0.4 D)(0.92+(0.0114 P)1.7)P>0.4 DU = \begin{cases} \dfrac{0.8\,P\,D}{P + 0.4\,D} & P \le 0.4\,D \\[6pt] P - \left(1 - \dfrac{0.8\,D}{P + 0.4\,D}\right)\left(0.92 + (0.0114\,P)^{1.7}\right) & P > 0.4\,D \end{cases}

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

sig figs

Worked example: Easton Newman Field: DMC 40.8, DC 666.4 → BUI 70.8 (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): The other input to the fire weather index: how fast a fire would spread, where this page measures how much there is to burn.Fire Weather Index (Canadian Fire Weather Index System): Takes this index and the spread index and combines them into the intensity rating.Vapour Pressure Deficit (Air): How hard the air is drying the surface fuels, one of the weather inputs behind the moisture codes.
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Buildup Index (Canadian Fire Weather Index System) explained

DMCDCBUIfuel available

The Buildup Index answers a plain question: how much fuel is available to burn? It is built from two of the moisture codes of the Canadian Forest Fire Weather Index System. The duff moisture code (PP in the formula) follows the loose organic layer of moderate depth. The drought code (DD) follows the deep compact layers and the large logs. Both codes are 0 for soaked ground and grow as the layers dry, a duff code of 100 or more being dry and a drought code of 600 or more a deep drought. The result UU has no units: it is zero for soaked ground and runs to a hundred or more in a summer drought.

Which expression applies depends on the two codes. When the duff is the smaller part, P≤0.4 DP \le 0.4\,D, the codes combine like resistances in parallel: U=0.8 P DP+0.4 DU = \frac{0.8\,P\,D}{P + 0.4\,D}, with the drought code weighted down by the 0.4 and the whole scaled by 0.8. A parallel combination stays small if either part is small, so a very low duff code keeps the index low even when the drought code is high. When P>0.4 DP > 0.4\,D the combination is corrected so that it does not run past the duff's own value, and the second expression takes over: U=P−(1−0.8 DP+0.4 D)(0.92+(0.0114 P)1.7)U = P - \left(1 - \frac{0.8\,D}{P + 0.4\,D}\right)\left(0.92 + (0.0114\,P)^{1.7}\right).

The fire weather stations table of the Canadian Wildland Fire Information System, as of 22 Oct 2026, shows both branches. Easton Newman Field has a duff code of 40.8 and a drought code of 666.4, on the parallel branch, and a Buildup Index of 70.8. Albany, with 96.2 and 462.9, is also on the parallel branch and comes to 126.6. Oxford, with 11.6 and 24.5, has the duff code above 0.4 times the drought code, so the corrected branch applies, and its index of 11.5 sits just under the duff code itself. Run backwards, an index of 70.8 with a drought code of 666.4 returns the duff code of 40.8.

The structure is Van Wagner's, from his 1987 description of the Canadian Forest Fire Weather Index System, and Wang, Anderson and Suddaby (2015) publish updated source code for calculating the indices. The index is a rating, not a physical quantity, and it is only as good as the moisture codes put into it. It measures how much there is to burn, not how fast a fire would spread: that is the initial spread index, and the two are combined into the fire weather index, the intensity rating.

Buildup Index (Canadian Fire Weather Index System) formula

U={0.8 P DP+0.4 DP≤0.4 DP−(1−0.8 DP+0.4 D)(0.92+(0.0114 P)1.7)P>0.4 DU = \begin{cases} \dfrac{0.8\,P\,D}{P + 0.4\,D} & P \le 0.4\,D \\[6pt] P - \left(1 - \dfrac{0.8\,D}{P + 0.4\,D}\right)\left(0.92 + (0.0114\,P)^{1.7}\right) & P > 0.4\,D \end{cases}
Where
  • UU= Buildup index (index)
  • PP= Duff moisture code (DMC)
  • DD= Drought code (DC)
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). Buildup Index (Canadian Fire Weather Index System) Calculator. https://formula.expert/solvers/canadian-fwi-buildup-index