Analogies in stochastic behaviour from the microscale of turbulence to the large-scale hydrometeorological processes under the Hurst-Kolmogorov dynamics

The turbulent shear stress and momentum regimes dominate and drive the energy exchange mechanisms among the hydrometeorological processes in the atmospheric boundary layer. To seek for stochastic analogies among the latter, Dimitriadis (2017) studied the observed variability of key hydrometeorological processes in local and global scale under the stochastic framework of the Hurst-Kolmogorov dynamics. It is found that several stochastic similarities exist in both the marginal and dependence structures of the examined processes. This conclusion permits the development of an integrated stochastic view of the atmospheric dynamics in the boundary layer as compared to traditional deterministic approaches. Finally, a robust algorithm for the explicit stochastic synthesis of the above processes from fine to large scales is presented and the merits and limitations compared to other existing methods are discussed.

Dimitriadis, P., Hurst-Kolmogorov dynamics in hydrometeorological processes and in the microscale of turbulence, Ph.D. thesis, Department of Water Resources and Environmental Engineering, School of Civil Engineer, National Technical University of Athens, 2017.