Tablo 3.4 Summary of <strong>the</strong> regional curve characteristics. Region Regional Curve Ordinates Regnl. Parameter Values <strong>for</strong> Eq. 3.14 or 3.23 O, sglO O¡/O O,o/õ Oro/O O.o/õ O,oo/O OrooiO Regional Cuwe Equation,OO = NORTH ISI.AND 1. Combined N.l. West Coast 1.OO 2. Bay of Plenty 0.96 3. N.l. East Coast 1.OO 4. Central Hawke's Bay 1.OO SOUTH ISI.AND 5. S.l. West Coast O.99 6. S.l. East Coast 1.OO 7. South Canterbury 1.OO 8. Otago-Southland O'98 1.30 1.55 1.31 1.62 1.43 1.78 1.49 1.89 1.22 1.41 1.31 1.56 1.52 1.95 1.33 1.62 1.78 2.09 1.96 2.46 2.12 2.56 2.27 2.77 1.59 1.82 1.80 2.12 2.39 2.94 1.89 2.25 2.32 2.55 2.87 3.33 2.89 3.21 3.14 3.51 1.99 2.16 2.35 2.58 3.44 3.91 2.51 0.804 0.330 0.762 0.325 0.726 0.469 0.696 0.s32 0.846 0.249 0.809 0.335 o.689 0.529 o.762 0.380 O.8O4 +O.33Oy -O.142 1.53O+2.292exp lO'142Y1 O.726 +0.469y 0.696 +O.532y O.846 +0.249y 0.8O9 +o.335y -O.O52 -9.545+10.234 exp (O.O52y) 0.762 +O.38Oy both regions, and to have included it in ei<strong>the</strong>r regional plot \r/ould bias <strong>the</strong> resulting regional curve; down\ryards in <strong>the</strong> case of <strong>the</strong> Bay of Plenty curve and upwards <strong>for</strong> <strong>the</strong> North Island East Coast curve. The Te Teko station was <strong>the</strong>re<strong>for</strong>e omitted from <strong>the</strong> derivation of <strong>the</strong> regional curve <strong>for</strong> both regions. Clearly, in deciding which regional curve to use <strong>for</strong> points on <strong>the</strong> Rangitaiki River system, consideration needs to be given to such factors as which region contains <strong>the</strong> greater proportion of <strong>the</strong> catchment <strong>are</strong>a, and whe<strong>the</strong>r <strong>the</strong> western or eastern part of <strong>the</strong> catchment contributes most to <strong>the</strong> peak flows at <strong>the</strong> point in question (see also section 5.2\. The number of stations near <strong>the</strong> eastern boundary of <strong>the</strong> Bay of Plenty region permitted such a detailed examination ofihe boundary line. In general, however, <strong>the</strong>re were insufficient stations to be able to do this' Most lines were subjectively defined and <strong>the</strong>y should be regarded as broad dividing iines between regions. To define <strong>the</strong> regional boundarils more precisely will require more flow stations with more flood peak data. 3.3.4 Final rog¡onal curves The final regional flood frequency curves that were derived <strong>are</strong> summarised in Figure 3'20. In general' <strong>the</strong> curves The excePtion is <strong>the</strong> minimal amount of gional curve Past 100 years, and <strong>the</strong> curve is tentative only. The ordinates Q'¡/Q <strong>for</strong> <strong>the</strong> final regional curves <strong>are</strong> listed in Table 3.4 <strong>for</strong> selected return periods. As well, <strong>the</strong> <strong>the</strong> eastern South Island <strong>are</strong>a identical to <strong>the</strong> annual flood regions defined f,or estimating Q (section 4.5). Regional plots correspondirng to <strong>the</strong> flood regions in <strong>the</strong> <strong>are</strong>a were constructed, but <strong>the</strong> data showed substantially greater variability than was evident in <strong>the</strong> plots <strong>for</strong> <strong>the</strong> original flood frequency regions, i.e., Regions 6, 7 and 8 in Figures 3'14- 3.16. Still pursuing <strong>the</strong> possibility of having consistent regions, all of <strong>the</strong> flood peak data <strong>for</strong> <strong>the</strong> three flood frequency regions were subsequently pooled toge<strong>the</strong>r, <strong>for</strong>ming a combined region known as <strong>the</strong> Eastern South Island region. The regional plot that was obtained <strong>for</strong> this <strong>are</strong>a, and <strong>the</strong> resulting regional curve, <strong>are</strong> shown in Figure 3'21. A comparison of this plot with those <strong>for</strong> <strong>the</strong> original three flood frequency regions (Figures 3.14-3.16) shows that <strong>the</strong> variability in <strong>the</strong> data <strong>for</strong> <strong>the</strong> combined region is much greater. This is borne out by <strong>the</strong> standard error equation developed <strong>for</strong> <strong>the</strong> regional curve of <strong>the</strong> combined <strong>are</strong>a which gave a C¡ I'alue at <strong>the</strong> 100-year return period, <strong>for</strong> example, that was 25 percent greater than that given by <strong>the</strong> group equation (llable 3.9) <strong>for</strong> <strong>the</strong> original regions (see section 3.4.1). This greater variability was <strong>not</strong> surprising in view of <strong>the</strong> range in <strong>the</strong> ordinates of <strong>the</strong> regional curves <strong>for</strong> <strong>the</strong> three regions. For instance, at <strong>the</strong> lü)-year return period <strong>the</strong> difference between <strong>the</strong> South Canterbury and South Island East Coast regional curve ordinates is l.l8' or 50 percent of <strong>the</strong> ordinate <strong>for</strong> <strong>the</strong> latter curve. Because of this iange, and <strong>the</strong> greater variability in <strong>the</strong> regional plot <strong>for</strong> <strong>the</strong> combined <strong>are</strong>a, tlhe curves <strong>for</strong> <strong>the</strong> three original regions offer a more accurate estimate of Q/Q <strong>for</strong> sites in <strong>the</strong> <strong>are</strong>a and <strong>the</strong> three regions were <strong>the</strong>re<strong>for</strong>e retained as <strong>the</strong> flood frequency regions. 3.3.5 Consistent regions For th <strong>the</strong> resul made of 3.3.6 Sub-reglons It will be <strong>not</strong>ed that two small <strong>are</strong>as in Figures 3.6 and 3.7 have been specially identifl¡ed as sub-regions. The first is that <strong>are</strong>a around Mt Egmont in <strong>the</strong> combined North Island West Coast region (see Figure 3'6). Flood peak data were available <strong>for</strong> onìly two stations in <strong>the</strong> <strong>are</strong>a, although each was associated u¡ith a representative basin. The catchment <strong>for</strong> <strong>the</strong> station on <strong>the</strong> east of <strong>the</strong> mountain (site 39504, Manganui River at Tariki Road) was included in <strong>the</strong> North Island West Coast region after its flood peak data were found to con<strong>for</strong>m very well with <strong>the</strong> regional flood frequency tr€nd. The second station (site 36001, Punehu River at Pihama) was located on <strong>the</strong> sou<strong>the</strong>rn side of <strong>the</strong> mountain. Its flood peak data displayed distinct upwards curvature on a probability plot, a trend markedly different from <strong>the</strong> regional one,, Because it was uncertain whe<strong>the</strong>r this was ase ofaPPlication of a real trend, or simply <strong>the</strong> result of using a short record an examination was (eight years), <strong>the</strong> sou<strong>the</strong>rn <strong>are</strong>a of Mt Egmont was excluded frequencY regions in from <strong>the</strong> North ltsland West Coast region' More flood peak Water & soil technical publication no. 20 (1982) 39
NOBTH ISLRND ßEGIONÊL CUBVES 1.50 2.?S 3. OO REDUCED Y VRBIßTE 2,33 sl02030 BETUBN FERIOO (YE8BS) 50 75 r00 Flgure 3.2Oa Summary of North lsland regional cury€s. SOUTH iSLÊND REGIONÊL CURVES 1.50 2-25 3.( BEOUCED Y VRBIFTE s r'o ¿'o g'o RETUNN PEBIOO IYERNS) 1t.50 5.2S so 7s t00 200 4 Fþure 3.2Ob Summary of South lsland regional curves. Water & soil technical publication no. 20 (1982)
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e.9., Linsley et ol. (1915); lrish
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Maguiness, J.A.; Blackwood, P.L.; B
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9100r GNE? R ¡T DOBSO| s¡18 93207
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6800 1 sBlrri R tT SrITEC¡,tttS 6I
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APPENDIX C Summary of tho data for
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oæ ON LAT. STATION NA ATION LAT. N
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o NUI,IBER HHAKAIIARU 854801 38 L7'
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l9 AT NU¡IB ËR AR',tËtlANA ÂRAI
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A ON LAT. STATION NA NUMBER AHUNA 5
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â NUI,IBER Lü{G.E ON NU14EER I,IU
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æ TATI ¡rouNT sor.tERS 7L740? 43
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N) o STATIoN NAr{gmLfï3---ffij NUI
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APPENDIX E Compadson of Regional Fl
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Table F.2 Flood peak data. NEW OTAG
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F.3 Analysis and results tatively p
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ét êt REOUCEO VßFIHTE 2. 33 5 l0
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SOLITH I EA l') COAST soUTH CANTERB
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0tiftflt a itÉitut5 ü¡. il/5 tg?
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Water & soil technical publication