# Flood-Frequency Estimates for Streams on Kauai, Oahu, Molokai, Maui, and Hawaii, State of Hawaii

June 23, 2010

This study provides an updated analysis of the magnitude and frequency of peak stream discharges in Hawaii. Annual peak-discharge data collected by the U.S. Geological Survey during and before water year 2008 (ending September 30, 2008) at stream-gaging stations were analyzed. The existing generalized-skew value for the State of Hawaii was retained, although three methods were used to evaluate whether an update was needed.

Regional regression equations were developed for peak discharges with 2-, 5-, 10-, 25-, 50-, 100-, and 500-year recurrence intervals for unregulated streams (those for which peak discharges are not affected to a large extent by upstream reservoirs, dams, diversions, or other structures) in areas with less than 20 percent combined medium- and high-intensity development on Kauai, Oahu, Molokai, Maui, and Hawaii. The generalized-least-squares (GLS) regression equations relate peak stream discharge to quantified basin characteristics (for example, drainage-basin area and mean annual rainfall) that were determined using geographic information system (GIS) methods.

Each of the islands of Kauai,Oahu, Molokai, Maui, and Hawaii was divided into two regions, generally corresponding to a wet region and a dry region. Unique peak-discharge regression equations were developed for each region. The regression equations developed for this study have standard errors of prediction ranging from 16 to 620 percent. Standard errors of prediction are greatest for regression equations developed for leeward Molokai and southern Hawaii. In general, estimated 100-year peak discharges from this study are lower than those from previous studies, which may reflect the longer periods of record used in this study. Each regression equation is valid within the range of values of the explanatory variables used to develop the equation. The regression equations were developed using peak-discharge data from streams that are mainly unregulated, and they should not be used to estimate peak discharges in regulated streams. Use of a regression equation beyond its limits will produce peak-discharge estimates with unknown error and should therefore be avoided. Improved estimates of the magnitude and frequency of peak discharges in Hawaii will require continued operation of existing stream-gaging stations and operation of additional gaging stations for areas such as Molokai and Hawaii, where limited stream-gaging data are available.

## Citation Information

Publication Year 2010 Flood-Frequency Estimates for Streams on Kauai, Oahu, Molokai, Maui, and Hawaii, State of Hawai`i 10.3133/sir20105035 Delwyn S. Oki, Sarah N. Rosa, Chiu W. Yeung Report USGS Numbered Series Scientific Investigations Report 2010-5035 sir20105035 USGS Publications Warehouse Pacific Islands Water Science Center