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kbdindex

Keetch-Byram drought index and Mac Arthur Drought Factor


Description

Implementation of the Keetch Byram Drought Index and Mac Arthur's Drought Factor for vector data

Usage

kbdindex(dates, t, p, wrs = 5, start.date = NULL, what = "kbdi")

Arguments

dates

Vector of dates. This is a character string in the form d/m/y

t

Vector of daily temperature (in deg Celsius)

p

Vector of daily accumulated preciptation (mm)

wrs

Minimum total weekly precipitation value used to define a "rainy" week (in mm). Default to 5 mm. Ignored if start.date is supplied.

start.date

Starting date for computation. Default to NULL, meaning that the computation starts since the first input record. Otherwise, the calculation starts the given date, that assumes a state of saturation of the soil (and hence KBDI=0, see Details), for instance just after snow melt. This argument overrides wrs.

what

What index should be returned by the function?. Current options include:

  • kbdi: Keetch-Byram Drought Index. This is the default.

  • madf: Mac Arthur's Drought Factor. Derived from the latter. See Details.

Details

The physical theory for the Keetch-Byram Drought Index (Keetch and Byram, 1968) is based on a number of assumptions: The first assumption is that soil moisture is at field capacity with a water depth equivalent to about 200 mm. The second assumption is that the rate of moisture loss in an area depends on the vegetation cover in the area, and vegetation density is a function of the mean annual rainfall. Hence, daily transpiration is approximated by an inverse exponential function of the mean annual rainfall. Finally, the evaporation rate of soil moisture with time is assumed to be an estimation of relative evapotranspiration from exponential function of the daily maximum air temperature. Sensitivity analyses from earlier researchers have revealed that KBDI decays exponentially with an assumed maximum soil water deficit and is sensitive to the daily maximum air temperature (Dennison et al., 2013). Its values range from 0 to 800 (inches), with 800 in (203.2 mm after conversion) indicating extreme drought and zero indicating saturated soil.

The McArthur's Drought Factor was developed to predict the amount of fine fuel which would be available to be consumed in the flaming front of a fire. The predictive model used by McArthur was based on a combination of the Keetch Byram Drought Index, and the amount, and time since fall, of recent rain. That is the reason both indices are calculated by the same function.

Value

A numeric vector containing the (daily) KBDI (or MADF) time series

Note

The original equations of the code presented by Keetch and Byram (1968) were later corrected for two significant typographical errors affecting the index output Alexander (1990).

Author(s)

Joaquin Bedia-Jiménez

References

  • Keetch, J.J. and Byram, G.M. (1968) A drought index for forest fire control. USDA Forest Service.

  • Alexander, M.E., 1990. Computer calculation of the Keetch-Byram Drought Index - programmers beware. Fire Management Notes 51, 23–25.

  • Dennison, P.E., Roberts, D.A., Thorgusen, S.R., Regelbrugge, J.C., Weise, D., Christopher, L., 2003. Modeling seasonal changes in live fuel moisture and equivalent water thickness using a cumulative water balance index. Remote Sensing of the Environment 88, 442–452.


ClimInd

Climate Indices

v0.1-3
GPL (>= 3)
Authors
Fergus Reig-Gracia [aut, cre], Sergio M. Vicente-Serrano [aut], Fernando Dominguez-Castro [aut], Joaquin Bedia-Jiménez [ctb]
Initial release
2021-04-09

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