Advancing Space?Time Simulation of Random Fields: From Storms to Cyclones and Beyond

Realistic stochastic simulation of hydro-environmental fluxes in space and time, such as rainfall, is challenging yet paramount importance to inform environmental risk analysis decision making under uncertainty. Here, we advance random fields by introducing the concepts general velocity anisotropy transformations. This expands capabilities so-called Complete Stochastic Modeling Solution (CoSMoS) framework enabling (RF's) preserving: (a) any non-Gaussian marginal distribution, (b) spatiotemporal correlation structure (STCS), (c) advection expressed with locally varying speed direction, (d) anisotropy. We also introduce new copula-based STCS's provide conditions guaranteeing their positive definiteness. To illustrate potential CoSMoS, simulate RF's complex patterns motion mimicking rainfall storms moving across an area, spiraling resembling weather cyclones, converging (or diverging from) a point, colliding air masses. The proposed methodology implemented freely available CoSMoS R package.