TY - JOUR
T1 - Advancing Space-Time Simulation of Random Fields
T2 - From Storms to Cyclones and Beyond
AU - Papalexiou, Simon Michael
AU - Serinaldi, Francesco
AU - Porcu, Emilio
N1 - Funding Information:
SMP was funded by the Global Water Futures program and acknowledges the support of the Natural Sciences and Engineering Research Council of Canada (NSERC Discovery Grant: RGPIN‐2019‐06894). FS acknowledges the support from the Willis Research Network.
Funding Information:
SMP was funded by the Global Water Futures program and acknowledges the support of the Natural Sciences and Engineering Research Council of Canada (NSERC Discovery Grant: RGPIN-2019-06894). FS acknowledges the support from the Willis Research Network. The authors thank the two eponymous Reviewers Dr. Ashok Mishra and Dr. Nadav Peleg, one anonymous Reviewer, and the Associate Editor for their constructive and detailed remarks that helped improve the original manuscript. Colormaps in figures were inspired by ColorMoves (Samsel et?al., 2018). The authors have used the CoSMoS R package (Papalexiou et?al.,?2021) available at CRAN (R Core Team,?2021).
Publisher Copyright:
© 2021. The Authors.
PY - 2021/8
Y1 - 2021/8
N2 - Realistic stochastic simulation of hydro-environmental fluxes in space and time, such as rainfall, is challenging yet of paramount importance to inform environmental risk analysis and decision making under uncertainty. Here, we advance random fields simulation by introducing the concepts of general velocity fields and general anisotropy transformations. This expands the capabilities of the so-called Complete Stochastic Modeling Solution (CoSMoS) framework enabling the simulation of random fields (RF's) preserving: (a) any non-Gaussian marginal distribution, (b) any spatiotemporal correlation structure (STCS), (c) general advection expressed by velocity fields with locally varying speed and direction, and (d) locally varying anisotropy. We also introduce new copula-based STCS's and provide conditions guaranteeing their positive definiteness. To illustrate the potential of CoSMoS, we simulate RF's with complex patterns and motion mimicking rainfall storms moving across an area, spiraling fields resembling weather cyclones, fields converging to (or diverging from) a point, and colliding air masses. The proposed methodology is implemented in the freely available CoSMoS R package.
AB - Realistic stochastic simulation of hydro-environmental fluxes in space and time, such as rainfall, is challenging yet of paramount importance to inform environmental risk analysis and decision making under uncertainty. Here, we advance random fields simulation by introducing the concepts of general velocity fields and general anisotropy transformations. This expands the capabilities of the so-called Complete Stochastic Modeling Solution (CoSMoS) framework enabling the simulation of random fields (RF's) preserving: (a) any non-Gaussian marginal distribution, (b) any spatiotemporal correlation structure (STCS), (c) general advection expressed by velocity fields with locally varying speed and direction, and (d) locally varying anisotropy. We also introduce new copula-based STCS's and provide conditions guaranteeing their positive definiteness. To illustrate the potential of CoSMoS, we simulate RF's with complex patterns and motion mimicking rainfall storms moving across an area, spiraling fields resembling weather cyclones, fields converging to (or diverging from) a point, and colliding air masses. The proposed methodology is implemented in the freely available CoSMoS R package.
KW - advection
KW - anisotropy
KW - cyclones
KW - random fields
KW - risk analysis
KW - storms
UR - https://www.scopus.com/pages/publications/85113373562
U2 - 10.1029/2020WR029466
DO - 10.1029/2020WR029466
M3 - Article
AN - SCOPUS:85113373562
SN - 0043-1397
VL - 57
JO - Water Resources Research
JF - Water Resources Research
IS - 8
M1 - e2020WR029466
ER -