MaxEnt and MaxEP in Modeling Fractal Topography and Atmospheric Turbulence

Abstract

AbstractRecent investigations on scale-invariant processes such as topography and modeling evapotranspiration demonstrate the usefulness and potential of the principles of maximum entropy (MaxEnt) and maximum entropy production (MaxEP) in the study of Earth systems. MaxEnt allows theoretical predictions of probability distributions of geophysical multifractal processes based on a small number of geometric parameters. MaxEP leads to the prediction of evapotranspiration and heat fluxes using fewer input variables than existing process based models. Encouraging progress in the application of MaxEnt and MaxEP, viewed as unified principles of inference, paves the way for more approaches of understanding, characterizing and predicting the behavior of the complex Earth systems.KeywordsElectric CircuitEntropy ProductionInformation EntropyDissipation FunctionInference AlgorithmThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.