Data-driven analysis of annual rain distributions

Abstract

Rainfall is an important component of the climate system and its statistical properties are vital for prediction purposes. In this study, we have developed a statistical method for constructing the distribution of annual precipitation. The method is based on the convolution of the measured monthly rainfall distributions and does not depend on any presumed annual rainfall distribution. Using a simple statistical model, we demonstrate that our approach allows for a better prediction of extremely dry or wet years with a recurrence time several times longer than the original time series. The method that has been proposed can be utilized for other climate variables as well.

26 pages, 18 figures

References in corpus (18)

• The large deviation approach to statistical mechanics
• Computation of extreme heat waves in climate models using a large deviation algorithm
• Top eigenvalue of a random matrix: large deviations and third order phase transition
• Large deviations for random walks under subexponentiality: the big-jump domain
• The Single Big Jump Principle in Physical Modelling
• A First-Order Dynamical Transition in the displacement distribution of a Driven Run-and-Tumble Particle
• Rare event algorithm study of extreme warm summers and heat waves over Europe
• Fingerprinting Heatwaves and Cold Spells and Assessing Their Response to Climate Change using Large Deviation Theory
• Anomalous scaling of dynamical large deviations
• Condensation transition in the late-time position of a Run-and-Tumble particle
• Localization transition in the Discrete Non-Linear Schrödinger Equation: ensembles inequivalence and negative temperatures
• Rare events in generalized Lévy Walks and the Big Jump principle
• Transport in disordered systems: the single big jump approach
• Applications of large deviation theory in geophysical fluid dynamics and climate science
• Anomalous scaling and first-order dynamical phase transition in large deviations of the Ornstein-Uhlenbeck process
• Anomalous scaling of dynamical large deviations of stationary Gaussian processes
• Condensation transition and ensemble inequivalence in the Discrete Nonlinear Schrödinger Equation
• Giant leaps and long excursions: fluctuation mechanisms in systems with long-range memory

Cited by in corpus (2)

• Remarkable similarities in distributions of dynamical observables in chaotic systems
• Subleading-order theory for condensation transitions in large deviations of sums of independent and identically distributed random variables