Arid
DOI10.1007/s00477-022-02317-9
Improving the normalization procedure of the simplified standardized precipitation index (SSPI) using Box-Cox transformation
Raziei, Tayeb
通讯作者Raziei, T
来源期刊STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
ISSN1436-3240
EISSN1436-3259
出版年2023
卷号37期号:3页码:925-951
英文摘要This study uses the Box-Cox transformation to improve the normalization procedure of the simplified standardized precipitation index (SSPI), utilizing the monthly precipitation of 45 stations distributed across Iran spanning from 1971 to 2017. The results showed that the Box-Cox transformation can reduce the skewness of the monthly precipitation aggregated at 1-, 3-, 6-, 9-, 12, and 24-month time scales to as close as zero, and successfully transforms them into an approximately normally distributed series. The normally distributed Box-Cox transformed precipitation series of the studied stations was then used to compute SSPI (SSPIBox-Cox) for the considered stations and time scales. For almost all the stations and time scales, the computed Shapiro and Wilk (S-W) test and the associated p value of the SSPIBox-Cox time series were found to be larger than the critical values of 0.96 and 0.1, respectively. For the majority of the stations, the mean and standard deviation of the SSPIBox-Cox computed for all the time scales were also close to 0.0 and unity, respectively. The mentioned statistics values suggest that the SSPIBox-Cox time series of almost all of the stations follow the standard normal distribution for all the time scales, except for 1- and 3-month time scales corresponding to the warm season calendar months of the stations located in the arid and hyper-arid areas. The results also show that the association between SSPIBox-Cox and the standardized precipitation index was considerably improved for all the stations and time scales when compared to the SSPI time series computed with the original SSPI procedure that uses a reformulation of the rainfall anomaly index for normalizing the data.
英文关键词Skewness reduction Box-Cox transformation Standard normal distribution z-score Probability of zero precipitation SSPI
类型Article
语种英语
收录类别SCI-E
WOS记录号WOS:000871311800001
WOS关键词GAMMA-DISTRIBUTION ; DROUGHT ; SPI
WOS类目Engineering, Environmental ; Engineering, Civil ; Environmental Sciences ; Statistics & Probability ; Water Resources
WOS研究方向Engineering ; Environmental Sciences & Ecology ; Mathematics ; Water Resources
资源类型期刊论文
条目标识符http://119.78.100.177/qdio/handle/2XILL650/398724
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Raziei, Tayeb. Improving the normalization procedure of the simplified standardized precipitation index (SSPI) using Box-Cox transformation[J],2023,37(3):925-951.
APA Raziei, Tayeb.(2023).Improving the normalization procedure of the simplified standardized precipitation index (SSPI) using Box-Cox transformation.STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT,37(3),925-951.
MLA Raziei, Tayeb."Improving the normalization procedure of the simplified standardized precipitation index (SSPI) using Box-Cox transformation".STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT 37.3(2023):925-951.
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