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Trends in Precipitation Extremes over India - (IMD), Pune

Trends in Precipitation Extremes over India - (IMD), Pune

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From the list prescribed by WMO, we have not considered <strong>in</strong>dices of R10mmand R20mm, because ra<strong>in</strong>fall events of 10 or 20 mm are quite common <strong>in</strong> the <strong>India</strong>nsub-cont<strong>in</strong>ent dur<strong>in</strong>g the southwest monsoon season. Hence, we have consideredR7.5cm (75 mm) and R12.5cm (125mm) to study the trends <strong>in</strong> heavy precipitationfrequencies of ra<strong>in</strong>fall greater than or equal to 7.5cm and 12.5cm.The def<strong>in</strong>itions of <strong>in</strong>dices allow seasonal and monthly partitions. As mentionedearlier, here, we have considered only the southwest monsoon season (June –September), the ma<strong>in</strong> ra<strong>in</strong>y season <strong>in</strong> <strong>India</strong>. Most of the <strong>in</strong>dices are def<strong>in</strong>ed <strong>in</strong> termsof counts of days cross<strong>in</strong>g the thresholds either absolute (fixed) thresholds orpercentile (variable) thresholds. Annual or seasonal day-count <strong>in</strong>dices based onpercentile thresholds are expressions of anomalies relative to the local climate.Consequently, the value of the thresholds is site specific. Such <strong>in</strong>dices allow forspatial comparisons, because they sample same part of precipitation (probabilitydensity) distributions at each station. On the other hand, annual/seasonal day-count<strong>in</strong>dices based on absolute thresholds are less suitable for spatial comparisons. Thereason be<strong>in</strong>g, <strong>over</strong> an area as large as <strong>India</strong>, thresholds of sample may vary differentfor different parts of the precipitation distributions. This means that <strong>in</strong> another climateregime the variability <strong>in</strong> such <strong>in</strong>dices readily stems from another season. Forexample, R7.5cm may be an extreme event <strong>in</strong> North-west <strong>India</strong>, while such eventsare quite common along the west coast and NE <strong>India</strong>.Extreme ra<strong>in</strong>fall <strong>in</strong>dices considered for the analysis are calculated for eachyear for each station. <strong>Trends</strong> of these <strong>in</strong>dices are calculated us<strong>in</strong>g l<strong>in</strong>ear regressionmodel to calculate the magnitude of the trends. S<strong>in</strong>ce most of the <strong>in</strong>dices are countsof days, a non-parametric model will be the best suited to test the significance ratherthan us<strong>in</strong>g Students’ t test. Hence, we have used the Kendall -Tau test (Press et al.,1986) to exam<strong>in</strong>e the significance of the trend. The trends referred to as significantexceed the 95% or 99% confidence limits <strong>in</strong> the Kendall–Tau test. As mentionedearlier, miss<strong>in</strong>g data was not filled up while calculat<strong>in</strong>g the <strong>in</strong>dices and trends.6

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