Abstract

Rainfall Intensity-Duration-Frequency curves and equations present the exceedance probability of a given rainfall intensity and storm duration expected to occur at a particular location, for the design of storm water drainage systems and hydraulic structures. The aim of this study was to develop IDF curves/equations aim for Oleh, a municipality situated in the low-lying and flood prone region of Nigeria. The study was conducted using annual maxima rainfall series (ARMS) of 28 years obtained from Nigeria Meteorological Agency (NiMet). The AMRS were extracted into 15 Nos. storm durations between 10minutes and 600 minutes. The AMRS of each duration was fitted to Gumbel (EV1), LN2 and Normal (N) distributions using the K-S and A-D goodness-of-fit module of Easyfit software, Version 5.6. The graphical plots, development of IDF models and computations of performance measures of R2 NSE and RSR, were executed in Microsoft Excel, 2010. The results of GOF tests show that for K-S tests, Gumbel (EVI) is best-fit distribution in four durations, LN2 was best –fit in Nine out of fifteen durations, and Normal distribution durations scored 2. Similarly, for A-D GOF test, Gumbel (EVI) scored three (3), LN2 scored eleven (11), while Normal distribution scored one (1). Consequently, LN2 is the best-fit distribution, seconded by Gumbel (EVI). Accordingly, LN2 and Gumbel (EVI) distributions have been adopted in the development of the IDF models for Oleh municipality, while the performances of the IDF models may be presented the inequality; 0.984 ? R2 ? 0.998; 0.990 ? NSE ? 0.998 and 0.045 ? RSR ? 0.096. The graphical plots, IDF curves and models exhibited the peculiar attributes of IDF curves/equations reported in literature. The performance measures show that the equations are robust for practical application in the design of storm water drainage systems and hydraulic structures.

Highlights

  • Rainfall Intensity-Duration-Frequency curves and equations present the exceedance probability of a given rainfall intensity and storm duration expected to occur at a particular location, for the design of storm water drainage systems and hydraulic structures

  • LN2 and Gumbel (EVI) distributions have been adopted in the development of the IDF models for Oleh municipality, while the performances of the IDF models may be presented the inequality; 0.984 ≤ R2 ≤ 0.998; 0.990 ≤ NashSutchiffe Efficiency (NSE) ≤ 0.998 and 0.045 ≤ RMSE – observations standard deviation ratio (RSR) ≤ 0.096

  • The graphical plots, IDF curves and models exhibited the peculiar attributes of IDF curves/equations reported in literature

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Summary

Introduction

Rainfall Intensity-Duration-Frequency curves and equations present the exceedance probability of a given rainfall intensity and storm duration expected to occur at a particular location, for the design of storm water drainage systems and hydraulic structures. LN2 and Gumbel (EVI) distributions have been adopted in the development of the IDF models for Oleh municipality, while the performances of the IDF models may be presented the inequality; 0.984 ≤ R2 ≤ 0.998; 0.990 ≤ NSE ≤ 0.998 and 0.045 ≤ RSR ≤ 0.096. The performance measures show that the equations are robust for practical application in the design of storm water drainage systems and hydraulic structures. The Rainfall Intensity – Duration – Frequency curves and equations are standard tools for planning, designs, and operation of water resources engineering against floods. There has not been any IDF studies carried out at Oleh and its environs, leading to development of IDF curves and equations as input into rainfall – runoff models for design of storm water drainage systems mitigate the natural environmental hazards of urban flooding at Oleh Municipality. An important step in the development of IDF relations is the selection of a suitable probability distribution function (PDF) that best fit the rainfall data

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