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• W2020114060 abstract "Abstract The observed relation of worldwide precipitation maxima P versus duration d follows the Jennings scaling law, P ≈ db, with scaling coefficient b ≈ 0.5. This scaling is demonstrated to hold for single-station rainfall extending over three decades. A conceptual stochastic rainfall model that reveals similar scaling behavior is introduced as a first-order autoregressive process [AR(1)] to represent the lower tropospheric vertical moisture fluxes, whose upward components balance the rainfall while the downward components are truncated and defined as no rain. Estimates of 40-yr ECMWF Re-Analysis (ERA-40) vertical moisture flux autocorrelations (at grids near the rainfall stations) provide estimates for the truncated AR(1). Subjected to maximum depth-duration analysis, the scaling coefficient b ≈ 0.5 is obtained extending for about two orders of magnitude, which is associated with a wide range of vertical moisture flux autocorrelations 0.1 &lt; a &lt; 0.7." @default.
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• W2020114060 date "2013-11-22" @default.
• W2020114060 modified "2023-10-07" @default.
• W2020114060 title "World’s Greatest Observed Point Rainfalls: Jennings (1950) Scaling Law" @default.
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• W2020114060 doi "https://doi.org/10.1175/jhm-d-13-074.1" @default.
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