Species distribution modeling: a statistical review with focus in spatio-temporal issues
The use of complex statistical models has recently increased substantially in the context of
species distribution behavior. This complexity has made the inferential and predictive …
species distribution behavior. This complexity has made the inferential and predictive …
[HTML][HTML] Non-parametric machine learning methods for interpolation of spatially varying non-stationary and non-Gaussian geotechnical properties
Spatial interpolation has been frequently encountered in earth sciences and engineering. A
reasonable appraisal of subsurface heterogeneity plays a significant role in planning, risk …
reasonable appraisal of subsurface heterogeneity plays a significant role in planning, risk …
Posterior inference for sparse hierarchical non-stationary models
Gaussian processes are valuable tools for non-parametric modelling, where typically an
assumption of stationarity is employed. While removing this assumption can improve …
assumption of stationarity is employed. While removing this assumption can improve …
[HTML][HTML] A probabilistic gridded product for daily precipitation extremes over the United States
Gridded data products, for example interpolated daily measurements of precipitation from
weather stations, are commonly used as a convenient substitute for direct observations …
weather stations, are commonly used as a convenient substitute for direct observations …
Nearest-neighbor neural networks for geostatistics
Kriging is the predominant method used for spatial prediction, but relies on the assumption
that predictions are linear combinations of the observations. Kriging often also relies on …
that predictions are linear combinations of the observations. Kriging often also relies on …
[HTML][HTML] Quantifying the influence of natural climate variability on in situ measurements of seasonal total and extreme daily precipitation
While various studies explore the relationship between individual sources of climate
variability and extreme precipitation, there is a need for improved understanding of how …
variability and extreme precipitation, there is a need for improved understanding of how …
Gaussian process modeling of heterogeneity and discontinuities using Voronoi tessellations
Many methods for modeling functions over high-dimensional spaces assume global
smoothness properties; such assumptions are often violated in practice. We introduce a …
smoothness properties; such assumptions are often violated in practice. We introduce a …
Scalable Bayesian transport maps for high-dimensional non-Gaussian spatial fields
M Katzfuss, F Schäfer - Journal of the American Statistical …, 2023 - Taylor & Francis
A multivariate distribution can be described by a triangular transport map from the target
distribution to a simple reference distribution. We propose Bayesian nonparametric …
distribution to a simple reference distribution. We propose Bayesian nonparametric …
Valid model-free spatial prediction
Predicting the response at an unobserved location is a fundamental problem in spatial
statistics. Given the difficulty in modeling spatial dependence, especially in nonstationary …
statistics. Given the difficulty in modeling spatial dependence, especially in nonstationary …
Modeling spatial data using local likelihood estimation and a Matérn to spatial autoregressive translation
Modeling data with nonstationary covariance structure is important to represent
heterogeneity in geophysical and other environmental spatial processes. In this work, we …
heterogeneity in geophysical and other environmental spatial processes. In this work, we …