Partial area coverage distribution for flood frequency analysis in arid regions

Juan B. Marco, Juan B Valdes

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Convective rainfalls of high intensity are largely responsible for most large floods occurring in arid regions. Convective storms are limited in size and rarely cover an entire basin. Therefore flood frequency is affected by the distribution of storm coverage c, which is the fraction of basin area upon which rainfall occurs. Analytical probability density function (pdf) estimates of partial storm coverage are presented as a function of basin area S(c) and the probability distribution function for storm radius r(s). Conditional pdfs for the covered area fraction c, given the storm radius f(c/r(s)), are obtained as a compound distribution with finite probability for maximum coverage and continuous density for smaller values. The conditionality assumption is removed by assuming an exponential storm radius marginal distribution to obtain the catchment coverage pdf. This pdf is compound, with discrete probability for complete catchment coverage P(c = 1) and a continuous function for partial overlap. The continuous function combines a Weibull pdf and linear functions of c. Both P(c = 1) and f(c) depend on χ, the average catchment-to-storm radius ratio. The distribution explains the partial coverage data for the Walnut Gulch basin in Arizona. Departures were observed, however, for slightly less than complete coverage, namely, for 0.9 < c < 1. A conceptual event classification and a method were designed to include partial coverage effects on flood frequency distribution.

Original languageEnglish (US)
Pages (from-to)2309-2317
Number of pages9
JournalWater Resources Research
Volume34
Issue number9
DOIs
StatePublished - Sep 1998

Fingerprint

Arid regions
flood frequency
frequency analysis
arid region
arid zones
probability density function
Probability density function
Catchments
basins
catchment
basin
Rain
rain
conditionality
rainfall
walnuts
probability distribution
distribution
Probability distributions
Distribution functions

ASJC Scopus subject areas

  • Aquatic Science
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology

Cite this

Partial area coverage distribution for flood frequency analysis in arid regions. / Marco, Juan B.; Valdes, Juan B.

In: Water Resources Research, Vol. 34, No. 9, 09.1998, p. 2309-2317.

Research output: Contribution to journalArticle

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