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

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alysis of <strong>the</strong> country's rainfall intensity data. As this revision<br />

used data <strong>for</strong> twice <strong>the</strong> number of stations used by<br />

Robertson, more accurate estimates of 1024 <strong>for</strong> individual<br />

catchments should be possible using Tomlinson's results.<br />

Note that an <strong>are</strong>al reduction factor should <strong>not</strong> be applied<br />

to an 1224 estimate. Fur<strong>the</strong>r, <strong>the</strong> rainfall stations used in<br />

<strong>the</strong> estimation of 1224 should <strong>not</strong> necessarily be <strong>the</strong> ne<strong>are</strong>st<br />

but should be <strong>the</strong> ones that record wea<strong>the</strong>r patterns that <strong>are</strong><br />

of most relevance to <strong>the</strong> catchment.<br />

In <strong>the</strong> Sou<strong>the</strong>rn Alps, Tomlinson's (1980) maps of rainfall<br />

intensity assume that <strong>the</strong> intensity increases with altitude.<br />

This increase was <strong>not</strong> considered in <strong>the</strong> estimates of<br />

1224 used to obtain <strong>the</strong> regional mean annual flood equations.<br />

Thus <strong>the</strong> use of <strong>the</strong> estimates of rainfall intensity in<br />

<strong>the</strong> equations may lead to overestimates of Q <strong>for</strong> catchments<br />

running into <strong>the</strong> Sou<strong>the</strong>rn Alps. There<strong>for</strong>e, when<br />

calculating 1224, poinr estimates of intensity should be<br />

averaged <strong>for</strong> <strong>the</strong> raingauges which receive rainfall typical of<br />

that <strong>for</strong> <strong>the</strong> middle and lower parts of <strong>the</strong> catchment.<br />

MARAIN The mean annual rainfall <strong>for</strong> a catchment may<br />

be estimated directly from rainfall records <strong>for</strong> stations<br />

within, or near to, <strong>the</strong> catchment. Where only short rainfall<br />

records exist, or where <strong>the</strong>re <strong>are</strong> none, estimates of<br />

MARAIN should be obtained from <strong>the</strong> l:500 000 isohyetal<br />

maps of l94l-1970 annual rainfall normals published by<br />

<strong>the</strong> NZ Meteorological Service.<br />

When <strong>the</strong>re is at least one year of flood record available,<br />

we suggest that both <strong>the</strong> available record and <strong>the</strong> regional<br />

equation be used to obtain separate estimates of Q. <strong>These</strong><br />

estimates can <strong>the</strong>n be combined to <strong>for</strong>m a weighted average<br />

estimate of Q , with <strong>the</strong> weighting of <strong>the</strong> Q value estimated<br />

from <strong>the</strong> record being based on <strong>the</strong> length of<strong>the</strong> record relative<br />

to Nr. Hence, <strong>for</strong> example, if N : 3 and N, : 4' <strong>the</strong><br />

weighting factors <strong>for</strong> <strong>the</strong> estimates taken from <strong>the</strong> record<br />

and regional equation should be<br />

3/'7 lì.e.<br />

(ii) N > Nu<br />

NN<br />

N+Nu<br />

N*N,<br />

When <strong>the</strong> flood record length exceeds N' Q may be estimated<br />

as <strong>the</strong> arithmetic mean of <strong>the</strong> annual series. It could<br />

also be estimated f¡om a partial duration series (NERC<br />

1975, pp. 185-213) when N is less than l0 years. In <strong>the</strong> case<br />

where an outlier or historical flood peak Q."* occurs in an<br />

annual series such that Q*"*/Q.e¿ ) 3, it is suggested that<br />

Q be estimated graphically from a probability plot of <strong>the</strong><br />

annual series as <strong>the</strong> flood peak with return period T : 2.33<br />

years.<br />

more flexible frequency curves, it was found in <strong>the</strong> evaluation<br />

tests (Appendix A) that a two-parameter distribution<br />

gives a good approximation to a three-parameter one up to<br />

T : 100 and that it can give more sensible results, even<br />

though it may <strong>not</strong> produce quite as good a fit to <strong>the</strong> annual<br />

senes.<br />

(iii) N > 20<br />

V/ith a flood record of 20 or more years in length, both<br />

two- and three-parameter distributions should be fitted to<br />

tbe annual series <strong>for</strong> <strong>the</strong> estimation of Qr ' A visual inspection<br />

of <strong>the</strong> goodness-of-fit of <strong>the</strong> distributions to <strong>the</strong> series<br />

should <strong>the</strong>n be made and a distribution chosen <strong>for</strong> estimating<br />

Qr . When it is difficult to decide between two or more<br />

fitted distributions, <strong>the</strong> Q.¡ estimate should be determined<br />

by averaging <strong>the</strong> estimates given by <strong>the</strong>se distributions.<br />

In applying frequency analysis methods to estimate a design<br />

flood peak Qt, c<strong>are</strong> should be taken to ensure that<br />

<strong>the</strong>y <strong>are</strong> <strong>not</strong> grossly extrapolated. For example, if N < 20<br />

and <strong>the</strong> two-parameter EVI distribution is fitted to <strong>the</strong> annual<br />

series, its extrapolation past T : 100 years <strong>for</strong> catchments<br />

in some of <strong>the</strong> eastern regions, e.g' South Canterbury,<br />

may lead to an under-estimation of Q1.<br />

It is recommended that <strong>the</strong> fitted distribution should <strong>not</strong><br />

be extrapolated beyond a return period T : 5N' This limit<br />

is less stringent than those often recommended in o<strong>the</strong>r<br />

tests (e.g. a limit of T : 2N is suggested (ICE 1975) <strong>for</strong> <strong>the</strong><br />

NERC (1975) study) and extrapolation beyond it is unwise<br />

on <strong>the</strong> basis of present evidence. The safest course of action<br />

when T exceeds <strong>the</strong> extrapolation limit is to use <strong>the</strong> regional<br />

curve, or <strong>the</strong> appropriate generalised curve when T exceeds<br />

<strong>the</strong> upper limit of <strong>the</strong> regional curve.<br />

Finally, when <strong>the</strong> record length N is sufficiently great to<br />

warrant <strong>the</strong> per<strong>for</strong>ming of a frequency analysis, <strong>the</strong> resulting<br />

Q1 estimates should be comp<strong>are</strong>d with that using <strong>the</strong> regional<br />

(or generalised) curve, with Q being calculated from<br />

<strong>the</strong> annual series. A, decision must subsequently be made as<br />

to which estimate to accept <strong>for</strong> design. This may involve<br />

taking a weighted average of <strong>the</strong> estimate from <strong>the</strong> frequency<br />

analyses of <strong>the</strong> site data and <strong>the</strong> estimate obtained<br />

using <strong>the</strong> regional curve, and this procedure is suggested<br />

when T > 2N. In making this decision on <strong>the</strong> final Q1<br />

value it should be lemembered that variations <strong>are</strong> inherent<br />

in all flood records, especially small ones, so that <strong>the</strong> trend<br />

in <strong>the</strong> probability plot should <strong>not</strong> be over-emphasised, even<br />

though it may depart significantly from <strong>the</strong> regional one.<br />

Instead, <strong>the</strong> emphasis should be placed on <strong>the</strong> regional<br />

curve, <strong>for</strong> it represents <strong>the</strong> trend of all <strong>the</strong> flood peak data<br />

<strong>for</strong> <strong>the</strong> region and its construction involved <strong>the</strong> averaging<br />

out of <strong>the</strong> variations in <strong>the</strong> individual flood records.<br />

5.3.3 Estimation of 01<br />

(i) N

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