High intensity rainfall estimation in New Zealand

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Water New Zealand 31 st October 2013 High intensity rainfall estimation in New Zealand Graeme Horrell Engineering Hydrologist,

Contents High Intensity Rainfall Design System (HIRDS Version 1) HIRDS Version 2 HIRDS Version 3 HIRDS V3 assessment by Regional Councils Comparison with Council guidelines for storm water runoff HIRDS upgrade International collaboration

Statistics of extreme rainfall play a vital role in engineering practice from the perspective of mitigation and protection of infrastructure and human life from flooding River flood flow analysis are preferred, but analysis of rainfall data is often more convenient due to the finer spatial nature of rainfall recording networks

Origins Rainfall frequency analysis as a design tool has developed over the years in New Zealand Seelye 1947 Robertson 1963 Tomlinson HIRDS V1 1980 Thompson HIRDS V1 1992 Pearson and Henderson 1998 Thompson HIRDS V2 2002 Thompson HIRDS V3 2010

Tomlinson 1980 940 manually read daily raingauges 180 automatic raingauges Conversion of annual maximum: daily manual to 24 hour maximum, 1.14 daily manual to 48 hour maximum, 1.07 daily manual to 72 hour maximum, 1.04 Extreme value type 1 (EV1) - Gumbel distribution Some values fitted extreme value type II (EV2) outliers Estimated any duration storm rainfalls for any return period up to 100 year

Return period conversion table 12 to 72 hour duration factor graph Christchurch Other maps 10-minute return period of 5 years 1-hour return period of 5 years 6-hour return period of 5 years Tomlinson s, South Island map of 24-hour rainfall (mm) of return period 5 years.

Thompson 1992 Converted Tomlinson s 1980 maps, graphs and tables into a computer based procedure User enters location coordinates to obtain a table with 10 durations from 10 minutes to 72 hours and up to the 100 year period. First version of the High Intensity Rainfall Design System, HIRDS.

Pearson and Henderson 1998 Looked in detail at the Tomlinson (1980) outliers removed from the EV1 (Gumbel) frequency analysis. 1933 manually read daily raingauges 150 automatic raingauges Frequency analysis on 1, 6, and 24 hour durations Fitted the Generalised Extreme Value (GEV) distribution to the annual maximum series, using the method of L-moments (Hosking 1990). Concluded that for hydrological design that deleting outliers and using the EV1 distribution leads to underestimation of design storm rainfalls for many New Zealand regions. For these regions annual maxima of 24-hour rainfalls tend toward the Extreme Value Type II (EV2) distribution.

Dimensionless (maxima divided by mean) Gumbel plot of 83 series of eastern Southland annual maximum 24-hour duration storm rainfalls, with fitted EV2 (curve) and EV1 (line) distributions

Thompson 2002 1693 manually read daily raingauges 682 automatic raingauges Version 2 was also a computer based procedure requiring site coordinates. Conversion of 1, 2 and 3 day annual maximum same as Tomlinson Used an index rainfall the median annual maximum rainfall for each duration The regional growth curves were derived using a generalised extreme value distribution combined with probability weighted moment estimation. Mapped regional frequency growth curves that are common to every site within a prescribed region Mapping of the index rainfall involved fitting a trivariate thin-plate spline to three independent variables longitude, latitude, and site elevation. Design rainfalls for any site are simply the product of the index rainfall (median) and the regional rainfall growth curve

Latest version Thompson 2010 Elements of HIRDS version 3 Free output from Web site

Thompson 2010 2177 manually read daily raingauges 1036 automatic raingauges Very similar to Thompson 2002, Regional Councils data included Closed sites in close vicinity combined The introduction of data stratification based upon 3 principal meteorological processes, convective, stratiform and a mixture of both. A regional dimensionless growth curve based on the Generalised Extreme Value (GEV), and using goodness of fit test for the GEV (Ailliot et al., 2009), Gumbel (EV1), and Generalised Logistic (GLO) distributions rather than probability weighted moments used in HIRDS version 2. Mapping of median annual maximum rainfall and parameters of the regional growth curves, covered New Zealand using thin-plate smoothing ANUSPLIN splines (Hutchinson 1995, 2000), at a 2km x 2km grid, and using L moments statistics, resulted in 10 surfaces each representing the 10 durations from 10 minutes to 72 hours, and were extended to a maximum Average Recurrence Interval (ARI) of 100 years.

Enter address Or map coordinates Enter site name optional -projected temperature change Web address Go Output table format http://hirds.niwa.co.nz/

Cropp wettest raingauge in New Zealand 12,000 mm per year

Cropp Hut

Duration Rainfall depth (mm) ARI (y) aep 10m 20m 30m 60m 2h 6h 12h 24h 48h 72h 1.58 0.633 12.6 21.2 28.6 48.0 80.8 184.2 309.9 521.5 692.8 818.1 2.00 0.500 13.6 22.7 30.8 51.6 86.3 195.3 327.0 547.3 727.2 858.6 5.00 0.200 16.9 28.3 38.3 64.2 105.9 233.8 385.3 635.1 843.7 996.3 10.00 0.100 19.5 32.8 44.3 74.3 121.2 263.3 429.6 700.8 931.0 1099.4 20.00 0.050 22.5 37.7 51.0 85.4 138.0 295.1 476.8 770.2 1023.2 1208.2 30.00 0.033 24.3 40.8 55.2 92.6 148.7 315.2 506.2 813.2 1080.4 1275.7 40.00 0.025 25.8 43.2 58.4 98.0 156.7 330.1 528.1 844.9 1122.5 1325.5 50.00 0.020 26.9 45.1 61.1 102.4 163.2 342.1 545.7 870.3 1156.3 1365.3 60.00 0.017 27.9 46.8 63.3 106.1 168.8 352.3 560.4 891.6 1184.5 1398.7 80.00 0.012 29.5 49.5 66.9 112.2 177.8 368.8 584.5 926.1 1230.4 1452.9 100.00 0.010 30.8 51.7 69.9 117.2 185.1 382.2 603.8 953.8 1267.2 1496.3

HIRDS version 3 assessment by Regional Councils

Background The previous HIRDS version 2 was not fully accepted by many Regional Councils Jeff Watson of Horizons wanted version 3 validated by Regional Councils to prove it was fit for purpose before it was released. HIRDS Version 3 incorporates rainfall intensity data from Regional Councils

Pilot of HIRDS V3 tested by key Regional Councils Peter Blackwood, Horizons Craig Goodier, Hawkes Bay Regional Council Tony Oliver, Toby Kay, Peter West, Environment Canterbury Northland Regional Council Environment Bay of Plenty

Peter Blackwood s comments The trends are all good I had found that generally HIRDS v2 seemed to underestimate at higher return periods by up to 10-15%. In most cases this software seems to provide an increase to more expected values Palmerston North and Pahiatua are exceptions, however there maybe explanations for these Moawhango Lake

Shorter durations with lesser return periods were different to v1, an example was North of Mahia, the 1 hour (5 year) Ver 3-28.7 mm Ver 1-40 mm. Aware it is based on data up to 1977 Craig Goodier s comments Waikaremoana Previously been advised not to use version 2 He is comfortable with HIRDS ver 1 and used this to compare with ver 3. Ver 3 was okay in the longer return periods and longer durations

Tony Oliver s comments Luke Creek Overall v3 is a lot better than v2, which generally under estimated by ~ 30%. I Consider achieving agreement within 10-15 % for rainfall analysis (including extreme events) is fairly good.

Toby Kay s conclusions It is concluded that HIRDS v3 has reduced the observed difference between rainfall depths calculated from at site frequency analysis of intensity gauges and HIRDS v2. HIRDS v3 gives rainfall depths that are 18% greater than HIRDS v2 for daily rainfall sites. This compares with a 9% increase established from at site frequency analysis. Takahue at Te Rore HIRDS v3 gives rainfall depths 9% greater than v2 for intensity gauge sites. This is close to the estimated increase in storm rainfall between 2002 and 2009 (10% increase from frequency analysis all durations)

Toby Kay s conclusions (cont) Further assessment and comparison is recommended for other long term records in Northland, but it seems reasonable at this stage to use HIRDS v3 without correction for all catchments in the Priority Rivers Flood Risk Reduction Project. Whilst HIRDS v3 may appear to give conservative estimates in relation to the analysis of daily rain gauge data, depths given by HIRDS v3 correlate well with frequency analysis undertaken for automatic gauges.

Peter West s comments In the Bay of Plenty we ve perceived a commonly occurring coastal rain type that causes higher design intensities close to the coast. I can see the desired effect represented on the HIRDS v3 fitted maps. General improvement with V3 over V1 But some gauges not so close, I expect the situation is due to our short record as almost all gauges installed in 1990.

Comparison with Council guidelines for storm water runoff Christchurch city Tony Oliver Botanic Gardens Whilst 1 hour and 48 hour had good agreement the 6 12 and 24 hour for 10 to 50 year ARI were 10 to 15 % more for HIRDS v3 than 2009 NIWA study

Comparison with Council guidelines for storm water runoff Auckland city TP108 (1999) significant heterogenic growth factors Revised (2008) now homogeneous Further revision (2011) - also homogenous HIRDS V3 agreed with the TP108 (1999) but not 2008 and 2011 updates new updates underestimate the 24 hour 100 year ARI by 30 % when compared to HIRDS V3 Note a 18 % increase for this duration and ARI occurred in Northland

Summary - comparison with Council guidelines for storm water runoff Data length at site local analysis, used all information - HIRDS requires a sufficient data length - comparison over different analysis periods - last 10 years less stormy, except in Northland, therefore recent raingauges may influence results - HIRDS joins sites if within 500 m to extend record length Region of influence Local analysis may use a different methodology to test for homogeneity for the grouping of rainfall stations in the frequency analysis

Improved method to determine the shape factor used in frequency distributions HIRDS v3 versus HIRDS v2 differences Approximately 10 additional years of data 28% increase in the number of daily manual raingauges 52% increase in the number of automatic raingauges Region of influence selection is more thorough

HIRDS upgrade Collaboration with Regional, City and District Councils Improve coverage Include recent storms Include historic paper records

Seelye Robertson Number of raingauges Tomlinson Ver 1 Thompson Thompson Ver 2 Thompson ver 3 HIRDS upgrade (cont) Rain gauges used in analysis 2500 2000 Manual stations Recording gauges 1500 1000 500 0 1947 1963 1980 1992 2002 2010 Year study completed

HIRDS upgrade (cont) Extend the average recurrence interval to 250 year return period Area reduction curves Temporal patterns or design storm Enable users to download maps from web page Provide a comprehensive list of raingauges used Interdecadal Pacific Oscillation (IPO)?

Rainfall (mm) Combined impact of climate variability (IPO) and change on South Island alpine rainfall 140 120 100 80 Negative IPO La Niña-like phase Positive IPO - El Niño-like phase Negative IPO La Niña-like phase Positive IPO - El Niño-like phase Negative IPO La Niña-like phase 60 40 20 This is best estimate today, but it s very uncertain! 0 1940 1960 1980 2000 2020 2040 2060 2080 2100 Year

International collaboration NIWA working with Centre for Ecology and Hydrology, Wallingford, UK, sharing new methods. Rainfall intensity also a component of the UNESCO IHP Asia Pacific FRIEND (APFRIEND) project on Flood Design. NIWA s 2012 Memorandum of understanding with the Korea Institute of construction Technology (KICT) South Korea. My email graeme.horrell@niwa.co.nz