Fig. 3: Summary of simulations that fit gamma probability distributions to a known stationary distribution. | Nature Communications

Fig. 3: Summary of simulations that fit gamma probability distributions to a known stationary distribution.

From: Drought assessment has been outpaced by climate change: empirical arguments for a paradigm shift

Fig. 3: Summary of simulations that fit gamma probability distributions to a known stationary distribution.

These simulations use random samples of varying climatology lengths (from 2 to 100) and the L-moment method for estimating gamma parameters. A Subplots showing the detailed simulation results for a single gamma distribution pair derived from 1000 simulations; rate and shape parameters as well as the cumulative distribution function (CDF) absolute error and Standardized Precipitation Index (SPI) absolute error are presented. Black lines and gray ribbons represent the median [interquartile] value of the 1000 simulations. B Replication of the aforementioned simulation for 100 randomly selected gamma distribution parameter pairs, each simulated 1000 times, focused on the absolute SPI error.

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