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WATER & SOIL - These are not the droids you are looking for.

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6 Summary<br />

In New Zealand little progress has been made in flood<br />

estimation techniques over <strong>the</strong> last 25 years despite an upsurge<br />

in <strong>the</strong> amount of streamflow data that has been col-<br />

Iected over this period. This study has attempted to improve<br />

this situation by<br />

al flood frequency<br />

analysis procedu<br />

<strong>the</strong> available<br />

annual and historical flo<br />

I catchments'<br />

The procedure, known as <strong>the</strong> Regional Flood Estimation<br />

(RFË) method, is applicable to both gauged and ungauged<br />

iural catchments which in general <strong>are</strong> greater than 20 km'<br />

in <strong>are</strong>a. Since <strong>the</strong> method was developed by averaging <strong>the</strong><br />

sampling variation that exists in individual flood records, it<br />

should provide a more reliable design flood peak estimate<br />

than that determined by fitting a frequency curve to a relatively<br />

short record.<br />

The RFE method comprises a set of eight regional flood<br />

frequency cu<br />

vs T, and a set of<br />

niné regionat<br />

when <strong>the</strong>re is little<br />

or no flood ¡<br />

S <strong>the</strong> T-Year flood,<br />

and Q is <strong>the</strong> mean annual flood. The most important independent<br />

variables in <strong>the</strong> equations <strong>are</strong> catchment <strong>are</strong>a<br />

and an index of <strong>the</strong> catchment rainfall.<br />

The regional curves may be used up to <strong>the</strong> 200-year return<br />

period to estimate a design flood peak, except in <strong>the</strong><br />

Otago-Southland region where <strong>the</strong> upper limit on return<br />

period is restricted to 100 years because of <strong>the</strong> limited data<br />

in this <strong>are</strong>a that were available <strong>for</strong> analysis. The curves <strong>are</strong><br />

defined by <strong>the</strong> straight-line extreme value type I (EVl) distribution<br />

<strong>for</strong> all but two of <strong>the</strong> regions <strong>the</strong> Bay of Plenty<br />

-<br />

and South Canterbury regions, where <strong>the</strong> extreme value<br />

type 2 (EV2) tlistribution was found to give a better definitión<br />

of <strong>the</strong> regional trend in <strong>the</strong> data. Although <strong>the</strong> general<br />

extreme value (C<br />

gional curves, th<br />

of <strong>the</strong> log-Pears<br />

tion tests carried<br />

that <strong>the</strong> LP3 distribution may well have given an equally<br />

good description of <strong>the</strong> curves.<br />

It is evident, both from <strong>the</strong> regional mass probability<br />

plots and from <strong>the</strong> standard error equations derived <strong>for</strong> <strong>the</strong><br />

iegional curves, that <strong>the</strong> variability in <strong>the</strong> regional Qr/Q<br />

data is well within acceptable limits. A quantitative indication<br />

of <strong>the</strong> confidence that may be placed on values of<br />

Q1/Q estimated fiom a regional curve is obtainable from<br />

<strong>the</strong> standard error equations which give estimates comparing<br />

very favourably with those given by <strong>the</strong> equivalent<br />

NERC (1975) equation.<br />

A feature of this study is <strong>the</strong> dependence of <strong>the</strong> results on<br />

climate. This is illustrated by <strong>the</strong> regions, which <strong>are</strong> partially<br />

consistent with recognised climatic boundaries, and<br />

by <strong>the</strong> difference in slope of <strong>the</strong> western and eastern regional<br />

curves. The latter curves have greater slopes, which<br />

ãre uttributable to <strong>the</strong> greater variability in <strong>the</strong> flood peak<br />

data <strong>for</strong> <strong>the</strong> eastern regions where <strong>the</strong> climate is drier and<br />

<strong>the</strong> antecedent conditions more variable. Fur<strong>the</strong>r indication<br />

of <strong>the</strong> climatic influence is given by <strong>the</strong> regional equations<br />

<strong>for</strong> estimating Q . ¡.lo physical characteristics, o<strong>the</strong>r than<br />

catchment <strong>are</strong>a, <strong>are</strong> included in <strong>the</strong> equations, <strong>the</strong> only<br />

o<strong>the</strong>r important parameters being catchment rainfall estimates.<br />

This suggests that climate may be <strong>the</strong> dominant factor<br />

affecting flood peaks with magnitude equal to or<br />

greater than <strong>the</strong> mean annual flood. O<strong>the</strong>r factors often<br />

considered important, such as geology and topography,<br />

have been accounted <strong>for</strong> to some extent in <strong>the</strong> regionalisation<br />

of <strong>the</strong> country.<br />

The country is divided into two sets of regions' one set<br />

<strong>for</strong> estimating Qr/Q and one <strong>for</strong> estimating Q. <strong>These</strong> <strong>are</strong><br />

very similar<br />

t<br />

tempts were<br />

e<br />

purposes, b<br />

t<br />

regions is a<br />

a<br />

Q1/Q and Q.<br />

The application_of <strong>the</strong> method to a catchment <strong>for</strong> <strong>the</strong><br />

estimation of Q1/Q and<br />

ted<br />

in Chapter 5 with four<br />

<strong>the</strong><br />

advantage, when only a<br />

of<br />

combining <strong>the</strong> estimates<br />

uation<br />

and <strong>the</strong> flood record to obtain a weighted average<br />

"best" estimate of Q . t¡e precision of each equation is expressed<br />

of record and,<br />

àepend<br />

estimate of Q<br />

from a<br />

he error of estimating<br />

od record. Thus<br />

when an important waterway project is being considered, a<br />

recorder should be installed as soon as possible to record<br />

<strong>the</strong> flood peaks.<br />

In addition to <strong>the</strong> regional curves of Q1/Q which extend<br />

up to a maximum of 200 years, generalised curves, one <strong>for</strong><br />

<strong>the</strong> west and one <strong>for</strong> <strong>the</strong> east, <strong>are</strong> given. <strong>These</strong> curves were<br />

derived from all <strong>the</strong> flood peak data collected <strong>for</strong> this<br />

study, excluding four extreme flood events, and <strong>the</strong>y can be<br />

applied from beyond <strong>the</strong> limit of <strong>the</strong> regional curves up to<br />

<strong>the</strong> 1000-year return period. Of interest is <strong>the</strong> marked similarity<br />

of <strong>the</strong>se curves with those derived by Stevens and<br />

ing too many regions. lt is envisaged that as more flood<br />

p.ãk dut" become available, revisions and refinements will<br />

te made to <strong>the</strong> RFE method' especially <strong>for</strong> <strong>the</strong> estimation<br />

of Q.<br />

In all cases, we recommend that o<strong>the</strong>r methods <strong>for</strong> estimating<br />

design flood magnitude also should be used and <strong>the</strong><br />

results comp<strong>are</strong>d be<strong>for</strong>e a final figure is selected'<br />

Water & soil technical publication no. 20 (1982)<br />

83

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