Examples#

End-to-end worked examples covering the full krigekit workflow: variogram analysis, kriging and interpolation, stochastic simulation, and space-time modelling. Each section can be run independently.

Variogram analysis#

Computing, fitting, and visualising empirical and model variograms, including 3-D anisotropic structures.

Estimating 3-D orientation, then fitting a nested variogram

Estimating 3-D orientation, then fitting a nested variogram

Fitting a 3-D anisotropic variogram

Fitting a 3-D anisotropic variogram

Nested variogram fitting for an indicator variable

Nested variogram fitting for an indicator variable

Nested anisotropic variogram fitting from 2-D SGSIM

Nested anisotropic variogram fitting from 2-D SGSIM

Fitting a product-sum variogram for the CCl4 plume

Fitting a product-sum variogram for the CCl4 plume

Variogram fitting for space-time groundwater levels

Variogram fitting for space-time groundwater levels

Kriging and interpolation#

Ordinary kriging, co-kriging, kriging with external drift, spatially varying anisotropy, and leave-one-out cross-validation.

Ordinary kriging example

Ordinary kriging example

Leave-one-out cross-validation

Leave-one-out cross-validation

Co-kriging the Walker Lake dataset

Co-kriging the Walker Lake dataset

Kriging with External Drift — groundwater levels

Kriging with External Drift — groundwater levels

Spatially varying anisotropy (SVA)

Spatially varying anisotropy (SVA)

Stochastic simulation#

Sequential Gaussian and indicator simulations for uncertainty quantification, including co-indicator simulation with a continuous covariate.

Ordinary Kriging + SGSIM

Ordinary Kriging + SGSIM

Sequential Indicator Simulation of Lithofacies

Sequential Indicator Simulation of Lithofacies

Co-kriging Indicator Simulation with a Continuous Covariate

Co-kriging Indicator Simulation with a Continuous Covariate

Space-time kriging#

Multi-event and 3-D space-time kriging for datasets distributed across both space and time.

Multi-Event Universal Kriging (MEUK) — synthetic replication

Multi-Event Universal Kriging (MEUK) — synthetic replication

Space-time kriging — CCl4 plume

Space-time kriging — CCl4 plume

Space-time kriging of groundwater levels with a quasi-periodic covariance

Space-time kriging of groundwater levels with a quasi-periodic covariance

Gallery generated by Sphinx-Gallery