This study was conducted to pursue the normalization of frequency distribution by approaching the coefficient of skewness to zero through power transformation to the annual maximum series of four watersheds along Han, Guem, Nag Dong river basin. Analy...
This study was conducted to pursue the normalization of frequency distribution by approaching the coefficient of skewness to zero through power transformation to the annual maximum series of four watersheds along Han, Guem, Nag Dong river basin. Analysis for the comparison of design flows according to the return periods were carried out between the best fitted probability distribution and power transformation.
The results were analyzed and summarized as follows.
1. Power transformation has found to be best one in comparison with log and square root transformation for being the coefficient of skewness into closer zero as a means of getting the normalization of frequency distribution in the annual maxium series for the applied watersheds.
2. The best fitted probability was acknowledged as three paramater lognormal destribution for Jeong sun of Han, Im Ha of Nag Dong river basin and type 1 extremal distribution for Seok Hwa, Gyu Am of Geum river, respectively.
3. Empirical formulas for the probable flood flows and design flows according to the return periods were derivated for the applied watersheds.
4. Relative errors of three parameter lognormals and type 1 extermal distribution to power transformation which was acknowledged as a best fitted probable flows were shown to be within 10 percent in common for all watersheds from two to two hundred years of return period.
5. The part of higher nonexceedance probabilities, i.e. probable flood flows for power transformation leas found to be more approached to the observed data in comparison with the results of other fitted distributions in view of relative suitability.