Description
A tool for spatial/spatio-temporal modelling and prediction with large datasets. The approach models the field, and hence the covariance function, using a set of basis functions. This fixed-rank basis-function representation facilitates the modelling of big data, and the method naturally allows for non-stationary, anisotropic covariance functions. Discretisation of the spatial domain into so-called basic areal units (BAUs) facilitates the use of observations with varying support (i.e., both point-referenced and areal supports, potentially simultaneously), and prediction over arbitrary user-specified regions. `FRK` also supports inference over various manifolds, including the 2D plane and 3D sphere, and it provides helper functions to model, fit, predict, and plot with relative ease. Version 2.0.0 and above also supports the modelling of non-Gaussian data (e.g., Poisson, binomial, negative-binomial, gamma, and inverse-Gaussian) by employing a generalised linear mixed model (GLMM) framework. Zammit-Mangion and Cressie <doi:10.18637/jss.v098.i04> describe `FRK` in a Gaussian setting, and detail its use of basis functions and BAUs, while Sainsbury-Dale, Zammit-Mangion, and Cressie <doi:10.18637/jss.v108.i10> describe `FRK` in a non-Gaussian setting; two vignettes are available that summarise these papers and provide additional examples.
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| Flavor | Status |
|---|---|
| r-devel-linux-x86_64-debian-clang | OK |
| r-devel-linux-x86_64-debian-gcc | OK |
| r-devel-linux-x86_64-fedora-clang | ERROR |
| r-devel-linux-x86_64-fedora-gcc | ERROR |
| r-devel-macos-arm64 | OK |
| r-devel-windows-x86_64 | OK |
| r-oldrel-macos-arm64 | NOTE |
| r-oldrel-macos-x86_64 | NOTE |
| r-oldrel-windows-x86_64 | NOTE |
| r-patched-linux-x86_64 | OK |
| r-release-linux-x86_64 | OK |
| r-release-macos-arm64 | OK |
| r-release-macos-x86_64 | OK |
| r-release-windows-x86_64 | OK |
Check details (19 non-OK)
OK
r-devel-linux-x86_64-debian-clang
*
OK
r-devel-linux-x86_64-debian-gcc
*
ERROR
r-devel-linux-x86_64-fedora-clang
re-building of vignette outputs
Error(s) in re-building vignettes: --- re-building ‘FRK_intro.Rnw’ using knitr OMP: Warning #96: Cannot form a team with 24 threads, using 2 instead. OMP: Hint Consider unsetting KMP_DEVICE_THREAD_LIMIT (KMP_ALL_THREADS), KMP_TEAMS_THREAD_LIMIT, and OMP_THREAD_LIMIT (if any are set). --- re-building ‘FRK_non-Gaussian.Rnw’ using knitr --- finished re-building ‘FRK_non-Gaussian.Rnw’ SUMMARY: processing the following file failed: ‘FRK_intro.Rnw’ Error: Vignette re-building failed. Execution halted
ERROR
r-devel-linux-x86_64-fedora-clang
tests
Running ‘testthat.R’ [90m/64m]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
> ops <- options("crayon.enabled" = FALSE)
> library(testthat)
> require("covr")
Loading required package: covr
>
> test_check("FRK")
Loading required package: FRK
Attaching package: 'FRK'
The following object is masked from 'package:stats':
simulate
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by default. However this is only the case when
method = 'TMB'. When method = 'EM', simple kriging is done, irrespective of
what the argument simple_kriging_fixed is set to.
|
| | 0%OMP: Warning #96: Cannot form a team with 24 threads, using 2 instead.
OMP: Hint Consider unsetting KMP_DEVICE_THREAD_LIMIT (KMP_ALL_THREADS), KMP_TEAMS_THREAD_LIMIT, and OMP_THREAD_LIMIT (if any are set).
|
|======================= | 33%
|
|=============================================== | 67%
|
|======================================================================| 100%
Maximum EM iterations reached
Intercept
0.152395
Formula: z ~ 1
Assumed response distribution: gaussian
Specified link function: identity
Method of model fitting: EM
Number of datasets: 1
Number of basis functions: 18
Class of basis functions: Basis
Number of BAUs [extract using object@BAUs]: 138
Number of observations [extract using object@Z]: 50
Mean obs. variance at BAU level [extract using object@Ve]: 0.01
Fine-scale variance proportionality constant [extract using object@sigma2fshat]: 0.1172823
Dimensions of C in Z = C*Y + e [extract using object@Cmat]: c(50L, 138L)
Dimensions of S in Y = X*alpha + S*eta + delta [extract using object@S]: c(50L, 18L)
Number of covariates: 1
Formula: z ~ 1
Assumed response distribution: gaussian
Specified link function: identity
Method of model fitting: EM
Number of datasets: 1
Number of basis functions: 18
Class of basis functions: Basis
Number of BAUs [extract using object@BAUs]: 138
Number of observations [extract using object@Z]: 50
Mean obs. variance at BAU level [extract using object@Ve]: 0.01
Fine-scale variance proportionality constant [extract using object@sigma2fshat]: 0.1172823
Dimensions of C in Z = C*Y + e [extract using object@Cmat]: c(50L, 138L)
Dimensions of S in Y = X*alpha + S*eta + delta [extract using object@S]: c(50L, 18L)
Number of covariates: 1
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by default. However this is only the case when
method = 'TMB'. When method = 'EM', simple kriging is done, irrespective of
what the argument simple_kriging_fixed is set to.
|
| | 0%
|
|======================= | 33%
|
|=============================================== | 67%
|
|======================================================================| 100%
Maximum EM iterations reached
Averaging over polygons...
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by default. However this is only the case when
method = 'TMB'. When method = 'EM', simple kriging is done, irrespective of
what the argument simple_kriging_fixed is set to.
|
| | 0%
|
|======================= | 33%
|
|=============================================== | 67%
|
|======================================================================| 100%
Maximum EM iterations reached
Averaging over polygons...
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by default. However this is only the case when
method = 'TMB'. When method = 'EM', simple kriging is done, irrespective of
what the argument simple_kriging_fixed is set to.
|
| | 0%
ERROR
r-devel-linux-x86_64-fedora-gcc
re-building of vignette outputs
Error(s) in re-building vignettes: --- re-building ‘FRK_intro.Rnw’ using knitr --- re-building ‘FRK_non-Gaussian.Rnw’ using knitr --- finished re-building ‘FRK_non-Gaussian.Rnw’ SUMMARY: processing the following file failed: ‘FRK_intro.Rnw’ Error: Vignette re-building failed. Execution halted
ERROR
r-devel-linux-x86_64-fedora-gcc
tests
Running ‘testthat.R’ [90m/59m]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
> ops <- options("crayon.enabled" = FALSE)
> library(testthat)
> require("covr")
Loading required package: covr
>
> test_check("FRK")
Loading required package: FRK
Attaching package: 'FRK'
The following object is masked from 'package:stats':
simulate
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by default. However this is only the case when
method = 'TMB'. When method = 'EM', simple kriging is done, irrespective of
what the argument simple_kriging_fixed is set to.
|
| | 0%
|
|======================= | 33%
|
|=============================================== | 67%
|
|======================================================================| 100%
Maximum EM iterations reached
Intercept
0.152395
Formula: z ~ 1
Assumed response distribution: gaussian
Specified link function: identity
Method of model fitting: EM
Number of datasets: 1
Number of basis functions: 18
Class of basis functions: Basis
Number of BAUs [extract using object@BAUs]: 138
Number of observations [extract using object@Z]: 50
Mean obs. variance at BAU level [extract using object@Ve]: 0.01
Fine-scale variance proportionality constant [extract using object@sigma2fshat]: 0.1172823
Dimensions of C in Z = C*Y + e [extract using object@Cmat]: c(50L, 138L)
Dimensions of S in Y = X*alpha + S*eta + delta [extract using object@S]: c(50L, 18L)
Number of covariates: 1
Formula: z ~ 1
Assumed response distribution: gaussian
Specified link function: identity
Method of model fitting: EM
Number of datasets: 1
Number of basis functions: 18
Class of basis functions: Basis
Number of BAUs [extract using object@BAUs]: 138
Number of observations [extract using object@Z]: 50
Mean obs. variance at BAU level [extract using object@Ve]: 0.01
Fine-scale variance proportionality constant [extract using object@sigma2fshat]: 0.1172823
Dimensions of C in Z = C*Y + e [extract using object@Cmat]: c(50L, 138L)
Dimensions of S in Y = X*alpha + S*eta + delta [extract using object@S]: c(50L, 18L)
Number of covariates: 1
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by default. However this is only the case when
method = 'TMB'. When method = 'EM', simple kriging is done, irrespective of
what the argument simple_kriging_fixed is set to.
|
| | 0%
|
|======================= | 33%
|
|=============================================== | 67%
|
|======================================================================| 100%
Maximum EM iterations reached
Averaging over polygons...
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by default. However this is only the case when
method = 'TMB'. When method = 'EM', simple kriging is done, irrespective of
what the argument simple_kriging_fixed is set to.
|
| | 0%
|
|======================= | 33%
|
|=============================================== | 67%
|
|======================================================================| 100%
Maximum EM iterations reached
Averaging over polygons...
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by default. However this is only the case when
method = 'TMB'. When method = 'EM', simple kriging is done, irrespective of
what the argument simple_kriging_fixed is set to.
|
| | 0%
OK
r-devel-macos-arm64
*
OK
r-devel-windows-x86_64
*
NOTE
r-oldrel-macos-arm64
installed package size
installed size is 104.7Mb
sub-directories of 1Mb or more:
data 4.8Mb
doc 1.9Mb
libs 96.9Mb
NOTE
r-oldrel-macos-arm64
package dependencies
Package suggested but not available for checking: ‘dggrids’
NOTE
r-oldrel-macos-x86_64
installed package size
installed size is 106.7Mb
sub-directories of 1Mb or more:
data 5.5Mb
doc 1.9Mb
libs 98.2Mb
NOTE
r-oldrel-macos-x86_64
package dependencies
Package suggested but not available for checking: ‘dggrids’
NOTE
r-oldrel-windows-x86_64
installed package size
installed size is 20.6Mb
sub-directories of 1Mb or more:
data 4.8Mb
doc 1.9Mb
libs 12.8Mb
NOTE
r-oldrel-windows-x86_64
package dependencies
Package suggested but not available for checking: 'dggrids'
OK
r-patched-linux-x86_64
*
OK
r-release-linux-x86_64
*
OK
r-release-macos-arm64
*
OK
r-release-macos-x86_64
*
OK
r-release-windows-x86_64
*
Check History
ERROR 9 OK · 3 NOTE · 0 WARNING · 2 ERROR · 0 FAILURE Mar 9, 2026
ERROR
r-devel-linux-x86_64-fedora-clang
tests
Running ‘testthat.R’ [90m/64m]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
> ops <- options("crayon.enabled" = FALSE)
> library(testthat)
> require("covr")
Loading required package: covr
>
> test_check("FRK")
Loading required package: FRK
Attaching package: 'FRK'
The following object is masked from 'package:stats':
simulate
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by defaul
ERROR
r-devel-linux-x86_64-fedora-gcc
tests
Running ‘testthat.R’ [90m/59m]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
> ops <- options("crayon.enabled" = FALSE)
> library(testthat)
> require("covr")
Loading required package: covr
>
> test_check("FRK")
Loading required package: FRK
Attaching package: 'FRK'
The following object is masked from 'package:stats':
simulate
NOTE: In FRK >2.0 simple_kriging_fixed = FALSE by default, and hence
universal kriging is done by defaul
NOTE
r-oldrel-macos-arm64
package dependencies
Package suggested but not available for checking: ‘dggrids’
NOTE
r-oldrel-macos-x86_64
package dependencies
Package suggested but not available for checking: ‘dggrids’
NOTE
r-oldrel-windows-x86_64
package dependencies
Package suggested but not available for checking: 'dggrids'
Reverse Dependencies (1)
imports
Dependency Network
Version History
new
2.3.2
Mar 9, 2026