The Matérn function as a general model for soil variograms

By Budiman Minasny, Alex B. McBratney. 2005

330 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Environmental Engineering, Soil Science

View Paper: https://www.semanticscholar.org/paper/378530e3bb172df8ce69d7a10dece60e9f2f0496

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Environmental Engineering

In Soil Science

Citations in the corpus

Bayesian geostatistical design: Task‐driven optimal site investigation when the geostatistical model is uncertain (2010, background): “For the specific values of � = 0.5, 1, ∞, the Matern family simplifies to the exponential, Whittle and Gaussian covariance models, respectively (Figure 1). The combination of � = 1 and l → ∞ approximates a power law covariance [ Minasny and McBratney, 2005 ], and arbitrary constructions with other m”
Confronting uncertainty in model-based geostatistics using Markov Chain Monte Carlo simulation (2011, methodology): “The variance of the prediction error, and the Fisher information (sensitivity) matrix contain the desired information about the scale and orientation of the parameter uncertainty (Marchant and Lark, 2004; Minasny and McBratney, 2005).”
Spatial prediction of soil properties using EBLUP with the Matérn covariance function (2007, methodology): “Minasny and McBratney (2005) showed that the Matérn function can describe the spatial structure of various soil properties.”
Testing environmental and genetic effects in the presence of spatial autocorrelation (2014, background): “The Matérn family is appropriate to fit autocorrelated processes with more or less rugged realizations, and is the most useful correlation model for a wide range of applications (Stein 1999, see also Minasny and McBratney 2005, Hoeting et al. 2006, Diggle and Ribeiro 2007).”
A Practical Guide to Geostatistical Mapping (2009, background): “11 Another sophistication of the standard 3–parameter variograms is the Matérn variogram model, which has 12 an additional parameter to describe the smoothness (Stein, 1999; Minasny and McBratney, 2005): 13”
Cooling Strategies for the Moment-Generating Function in Bayesian Global Optimization (2018, methodology): “Throughout this paper, the well-known Matérn 3/2 kernel [9] is used.”
Biogeographical patterns of soil molecular microbial biomass as influenced by soil characteristics and management (2011, neutral): “Minasny & McBratney (2005) describe in greater detail the different forms that the Matérn function can take.”
Spatial designs and properties of spatial correlation: Effects on covariance estimation (2007, methodology): “This corroborates Minasny and McBratney (2005), who compared REML and weighted nonlinear least squares estimates of Matérn covariance parameters.”