Regional Frequency Analysis {RFA}R Documentation

Regional and at-site distribution

Description

The regional and at-site distribution are estimated via the Index Flood model. This is achieved with the regional L-moments.

Usage

regdist(lmom, loc, main, xlab, ylab, xliminf, xlimsup, draw.site =
  TRUE, ...)
  locdist(param.reg, mu, data, main, xlab, ylab, xlimsup, draw.data = TRUE,
  ...)

Arguments

lmom A list. Typically, return of function lmomreg.
param.reg Vector of length 3 giving the value of the parameter of the regional distribution.
mu Numeric. The mean number of events per year.
loc Optional numeric. If present, the location parameter is fixed to this value.
data Vector of the at-site sample.
main, xlab, ylab, xliminf, xlimsup Optional. Specifies the title, labels for the x and y axis and the lower and upper bound for the x-axis.
index.flood A function who compute the index flood in functions of the at-site sample. The default is to compute the sample mean.
draw.site, draw.data Logical. Should adimensional distribution of all site and at-site sample be plotted. The default is to plot it.
... Optional parameters to be passed to the plot function.

Details

The Index Flood model [Dalrymple, 1960] states that all distribution within a homogeneous region are the same up to a normalisation by a constant - namely, the Index Flood. So, estimate the distribution of a specified site can be performed in two step:

The regional distribution is estimated with the mean of L-moments of each site weighted with the record length [Hosking and Wallis, 1997].

Value

The program return the parameter estimate of the regional and at-site distribution. Optionally, return level plots are displayed.

Author(s)

Mathieu Ribatet

References

Dalrymple, T. (1960) Flood Frequency Analysis. Water Supply Paper.

Hosking, J. R. M. and Wallis, J. R. (1997) Regional Frequency Analysis. Cambridge University Press.


[Package RFA version 0.0-8 Index]