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Observed and projected changes in extreme drought and flood-prone regions over India under CMIP5 RCP8.5 using a new vulnerability index

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Abstract

Past versions of the vulnerability indices have shown the ability to detect susceptible regions by assessing climatic and socioeconomic parameters at local scales. These parameters significantly vary over geographic regions, therefore such an index may not be suitable to identify and predict susceptibility over a large domain. The present endeavour aims to develop a new vulnerablity index that identifies and predicts the spatiotemporal imprint of extreme drought and flood cases at various scales in India by analyzing monthly observed and Coupled Model Intercomparison Phase 5 (CMIP5) rainfall data at a spatial scale of 1° × 1° from 1901 to 2100. It is proposed by consolidating the outcomes of the Standard Precipitation Index (SPI) at different time scales, such as 3 and 12 months, along with the weights of individual grids. The weights of individual grids are calculated through the occurrence of extreme drought and flood years in the recent past to include a climate change factor in the proposed index. Based on the spatial distribution of high index values, the vulnerable regions concerning extreme droughts are expected to be in the Northeast, Northeast-central, East-coast, West, Northwest, North-central, and some grids in South India. Similarly, vulnerable regions concerning extreme flood cases are likely to be in the Northeast, West-coast, East-coast, and some grids in the Peninsular region.

Furthermore, a conceptual model is presented to quantify the severity of extreme cases. The analyses reveal that on the CMIP5 model data, 2024, 2026–2027, 2035, 2036–2037, 2043–2044, 2059–2060, and 2094 are likely to be the most prominent extreme drought years in all India monsoon rainfall, and their impacts will persist for a longer time than others. Similarly, the most prominent extreme flood cases are likely to occur in the year 2076, 2079–2080, 2085, 2090, 2092, and 2099.

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Appendix

Appendix

1.1 Selection of probability distribution function for the fitting of data

It is mentioned in Thom (1958) and Wilks (1995) that the gamma distribution is a good choice for describing precipitation values at different time scales for a variety of reasons. The advantage of the gamma distribution includes firstly, it is bounded on the left at zero and the gamma distribution is positively skewed, meaning that it has an extended tail to the right of the distribution. Many studies have employed the gamma distribution in the analysis of rainfall. It is reported that the maximum likelihood estimators (MLEs) optimally calculate the shape and scale parameters for the gamma distribution. An alternative to the MLE parameters is the method of moment estimation (MME). It has been shown, however, that the method of moments is a poor estimator, owing to inefficiency, for small shape values (Wilks 1995; Thom 1958). Further, the present study has applied various distributions to fit the rainfall data at different time scales. To verify the efficiency of the distribution, Akkai information criteria (AIC) is calculated for all different data sets and the result is mentioned in Tables 4 and 5. It reveals that the gamma distribution performs uniformly over all kinds of datasets. A rank is assigned to each of distribution based on the performance (best fitting) and mentioned in Table 5, it reveals that the gamma distribution score lowest rank, represents the best fit for the rainfall data.

Table 4 Calculated AIC values for various distribution fitted at different time scales of data
Table 5 Rank of the distribution’s performance in fitting data at different time scales

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Jena, P., Azad, S. Observed and projected changes in extreme drought and flood-prone regions over India under CMIP5 RCP8.5 using a new vulnerability index. Clim Dyn 57, 2595–2613 (2021). https://doi.org/10.1007/s00382-021-05824-7

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