journal article·2019-05-17Open access

A Critical Review of Spatial Predictive Modeling Process in Environmental Sciences with Reproducible Examples in R

Jin Li

Applied Sciences· Volume 9· Issue 10

Abstract

Spatial predictive methods are increasingly being used to generate predictions across various disciplines in environmental sciences. Accuracy of the predictions is critical as they form the basis for environmental management and conservation. Therefore, improving the accuracy by selecting an appropriate method and then developing the most accurate predictive model(s) is essential. However, it is challenging to select an appropriate method and find the most accurate predictive model for a given dataset due to many aspects and multiple factors involved in the modeling process. Many previous studies considered only a portion of these aspects and factors, often leading to sub-optimal or even misleading predictive models. This study evaluates a spatial predictive modeling process, and identifies nine major components for spatial predictive modeling. Each of these nine components is then reviewed, and guidelines for selecting and applying relevant components and developing accurate predictive models are provided. Finally, reproducible examples using spm, an R package, are provided to demonstrate how to select and develop predictive models using machine learning, geostatistics, and their hybrid methods according to predictive accuracy for spatial predictive modeling; reproducible examples are also provided to generate and visualize spatial predictions in environmental sciences.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Soil Geostatistics and Mapping · Data Analysis with R · Geochemistry and Geologic Mapping

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

National Earth and Marine Observations Branch, Environmental Geoscience Division, Geoscience Australia, Canberra 2601, Australian Capital Territory, Australia

References (100+)

Show source-provided references
1. The performance of state-of-the-art modelling techniques depends on geographical distribution of species10.1016/j.ecolmodel.2008.10.019 ↗
2. Evolutionary algorithms and other metaheuristics in water resources: Current status, research challenges and future directions10.1016/j.envsoft.2014.09.013 ↗
3. Li, J., and Heap, A. (2008). A Review of Spatial Interpolation Methods for Environmental Scientists, Record 2008/23.
4. Stephens, D., and Diesing, M. (2015). Towards quantitative spatial models of seabed sediment composition. PLoS ONE, 10.10.1371/journal.pone.0142502 ↗
5. Sanabria, L.A., Cechet, R.P., and Li, J. (2013, January 1–6). Mapping of australian fire weather potential: Observational and modelling studies. Proceedings of the 20th International Congress on Modelling and Simulation (MODSIM2013), Adelaide, Australia.
6. Application of random forest, generalised linear model and their hybrid methods with geostatistical techniques to count data: Predicting sponge species richness10.1016/j.envsoft.2017.07.016 ↗
7. Hastie, T., Tibshirani, R., and Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Springer. [2nd ed.].10.1007/978-0-387-84858-7 ↗
8. Crawley, M.J. (2007). The R Book, John Wiley & Sons, Ltd.
9. Kuhn, M., and Johnson, K. (2013). Applied Predictive Modeling, Springer.10.1007/978-1-4614-6849-3 ↗
10. Spatial interpolation methods applied in the environmental sciences: A review10.1016/j.envsoft.2013.12.008 ↗
11. A review of comparative studies of spatial interpolation methods in environmental sciences: Performance and impact factors10.1016/j.ecoinf.2010.12.003 ↗
12. Li, J., Potter, A., Huang, Z., Daniell, J.J., and Heap, A. (2010). Predicting Seabed Mud Content across the Australian Margin: Comparison of Statistical and Mathematical Techniques Using a Simulation Experiment, Record 2010/11.
13. Spatial interpolation of mcarthur’s forest fire danger index across australia: Observational study10.1016/j.envsoft.2013.08.012 ↗
14. Examination of geostatistical and machine-learning techniques as interpolaters in anisotropic atmospheric environments10.1016/j.atmosenv.2015.03.063 ↗
15. No free lunch theorems for optimization10.1109/4235.585893 ↗
16. Burrough, P.A., and McDonnell, R.A. (1998). Principles of Geographical Information Systems, Oxford University Press.
17. Ten iterative steps in development and evaluation of environmental models10.1016/j.envsoft.2006.01.004 ↗
18. Assessing spatial predictive models in the environmental sciences: Accuracy measures, data variation and variance explained10.1016/j.envsoft.2016.02.004 ↗
19. What is the question?10.1126/science.aaa6146 ↗
20. Li, J. (2019, May 17). spm: Spatial Predictive Modelling. Available online: https://CRAN.R-project.org/package=spm: 2018.10.32614/CRAN.package.spm ↗
21. Spatially balanced designs that incorporate legacy sites10.1111/2041-210X.12782 ↗
22. Spatially balanced sampling: A review and a reappraisal10.1111/insr.12216 ↗
23. Spatially balanced sampling of natural resources10.1198/016214504000000250 ↗
24. A spatially balanced design with probability function proportional to the within sample distance10.1002/bimj.201600194 ↗
25. A review of spatial sampling10.1016/j.spasta.2012.08.001 ↗
26. Diggle, P.J., and Ribeiro, P.J. (2010). Model-Based Geostatistics, Springer.
27. Przeslawski, R., Daniell, J., Anderson, T., Vaughn Barrie, J., Heap, A., Hughes, M., Li, J., Potter, A., Radke, L., and Siwabessy, J. (2011). Seabed Habitats and Hazards of the Joseph Bonaparte Gulf and Timor Sea, Northern Australia, Record 2008/23.
28. Characterising sediments for a tropical sediment-starved shelf using cluster analysis of physical and geochemical variables10.1071/EN14126 ↗
29. Radke, L., Nicholas, T., Thompson, P., Li, J., Raes, E., Carey, M., Atkinson, I., Huang, Z., Trafford, J., and Nichol, S. (2017). Baseline biogeochemical data from australia’s continental margin links seabed sediments to water column characteristics. Mar. Freshw. Res.10.1071/MF16219 ↗
30. Kincaid, T. (2019, May 17). GRTS Survey Designs for an Area Resource. Available online: https://cran.r-project.org/web/packages/spsurvey/vignettes/Area_Design.pdf.
31. Kincaid, T.M., and Olsen, A.R. (2019, May 17). spsurvey: Spatial Survey Design and Analysis. Available online: https://cran.r-project.org/web/packages/spsurvey/index.html.
32. Hengl, T. (2019, May 17). GSIF: Global Soil Information Facilities. Available online: https://cran.r-project.org/web/packages/GSIF/index.html.
33. Walvoort, D.J.J. (2019, May 17). Spatial Coverage Sampling and Random Sampling from Compact Geographical Strata. Available online: https://cran.r-project.org/web/packages/spcosa/index.html.
34. Roudier, P. (2019, May 17). CLHS: A R Package for Conditioned Latin Hypercube Sampling. Available online: https://cran.r-project.org/web/packages/clhs/index.html.
35. Grafströn, A., and Lisic, J. (2019, May 17). Balancedsampling: Balanced and Saptially Balanced Sampling. Available online: https://cran.r-project.org/web/packages/BalancedSampling/index.html.
36. Radke, L., Smit, N., Li, J., Nicholas, T., and Picard, K. (2017). Outer Darwin Harbour Shallow Water Sediment Survey 2016: Ga0356—Post-Survey Report, Record 2017/06.10.11636/Record.2017.006 ↗
37. Siwabessy, P.J.W., Smit, N., Atkinson, I., Dando, N., Harries, S., Howard, F.J.F., Li, J., Nicholas, W.A., Picard, K., and Radke, L.C. (2017). Bynoe Harbour Marine Survey 2016: Ga4452/sol6432—Post-Survey Report, Record 2017/04.10.11636/Record.2017.004 ↗
38. Foster, S.D. (2019, May 17). MBHdesign: Spatial Designs for Ecological and Environmental Surveys. Available online: https://cran.r-project.org/web/packages/MBHdesign/index.html.
39. The challenges of data quality and data quality assessment in the big data era10.5334/dsj-2015-002 ↗
40. Data quality assessment10.1145/505248.506010 ↗
41. Li, J., Potter, A., Huang, Z., and Heap, A. (2012). Predicting Seabed sand Content across the Australian Margin Using Machine Learning and Geostatistical Methods, Record 2012/48.
42. How do species respond to climate change along an elevation gradient? A case study of the grey-headed robin (Heteromyias albispecularis)10.1111/j.1365-2486.2008.01737.x ↗
43. Jiang, W., and Li, J. (2014). The Effects of Spatial Reference Systems on the Predictive Accuracy of Spatial Interpolation Methods, Record 2014/01.10.11636/Record.2014.001 ↗
44. Jiang, W., and Li, J. (2013, January 1–6). Are Spatial Modelling Methods Sensitive to Spatial Reference Systems for Predicting Marine Environmental Variables. Proceedings of the 20th International Congress on Modelling and Simulation, Adelaide, Australia.
45. Turner, A.J., Li, J., and Jiang, W. (2017, January 3–8). Effects of spatial reference systems on the accuracy of spatial predictive modelling along a latitudinal gradient. Proceedings of the 22nd International Congress on Modelling and Simulation, Hobart, Australia.
46. Purss, M. (2019, May 17). Topic 21: Discrete Global Grid Systems Abstract Specification, Open Geospatial Consortium [OGC 15-104r5]. Available online: https://www.google.com.au/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&cad=rja&uact=8&ved=2ahUKEwiHmPmnrqHiAhWFfisKHfTlB18QFjADegQIABAC&url=https%3A%2F%2Fportal.opengeospatial.org%2Ffiles%2F15-104r5&usg=AOvVaw3Ww2TasQntx17y99VlHwig.
47. Li, J. (2013, January 13–15). Predictive modelling using random forest and its hybrid methods with geostatistical techniques in marine environmental geosciences. Proceedings of the Eleventh Australasian Data Mining Conference (AusDM 2013), Canberra, Australia.
48. Stephens, D., and Diesing, M. (2014). A comparison of supervised classification methods for the prediction of substrate type using multibeam acoustic and legacy grain-size data. PLoS ONE, 9.10.1371/journal.pone.0093950 ↗
49. Hengl, T., Heuvelink, G.B.M., Kempen, B., Leenaars, J.G.B., Walsh, M.G., Shepherd, K.D., Sila, A., MacMillan, R.A., de Jesus, J.M., and Tamene, L. (2015). Mapping soil properties of africa at 250 m resolution: Random forests significantly improve current predictions. PLoS ONE, 10.10.1371/journal.pone.0125814 ↗
50. Zhang, X., Liu, G., Wang, H., and Li, X. (2017). Application of a hybrid interpolation method based on support vector machine in the precipitation spatial interpolation of basins. Water, 9.10.3390/w9100760 ↗
51. Estimating spatial precipitation using regression kriging and artificial neural network residual kriging (rknnrk) hybrid approach10.1007/s11269-015-0935-9 ↗
52. Neural network residual kriging application for climatic data
53. Evaluating machine learning approaches for the interpolation of monthly air temperature at mt. Kilimanjaro, tanzania10.1016/j.spasta.2015.05.008 ↗
54. Variation in demersal fish species richness in the oceans surrounding new zealand: An analysis using boosted regression trees10.3354/meps321267 ↗
55. Comparative performance of generalised additive models and multivariate adaptive regression splines for statistical modelling of species distributions10.1016/j.ecolmodel.2006.05.022 ↗
56. Isaaks, E.H., and Srivastava, R.M. (1989). Applied Geostatistics, Oxford University Press.
57. Hengl, T. (2007). A Practical Guide to Geostatistical Mapping of Environmental Variables, Office for Official Publication of the European Communities.
58. Multivariable geostatistics in s: The gstat package10.1016/j.cageo.2004.03.012 ↗
59. Bivand, R.S., Pebesma, E.J., and Gómez-Rubio, V. (2008). Applied Spatial Data Analysis with R, Springer.
60. Mapping risk of soil nutrient deficiency or excess by disjunctive and indicator kriging10.1016/S0016-7061(03)00168-X ↗
61. Optimal geostatistical model selection10.1198/016214507000000491 ↗
62. Mapping the spatial variability of plant diversity in a tropical forest: Comparison of spatial interpolation methods10.1007/s10661-006-0885-z ↗
63. Use of soil map delineations to improve (co-)kriging of point data on moisture deficits10.1016/0016-7061(88)90041-9 ↗
64. A comparison of kriging, cubic splines and classification for predicting soil properties from sample information10.1111/j.1365-2389.1990.tb00080.x ↗
65. Characterising performance of environmental models10.1016/j.envsoft.2012.09.011 ↗
66. Probabilistic forecasts, calibration and sharpness10.1111/j.1467-9868.2007.00587.x ↗
67. Species distribution models and ecological theory: A critical assessment and some possible new approaches10.1016/j.ecolmodel.2006.07.005 ↗
68. Species distribution models: Ecological explanation and prediction across space and time10.1146/annurev.ecolsys.110308.120159 ↗
69. On the use of abiotic surrogates to describe marine benthic biodiversity10.1016/j.ecss.2010.03.003 ↗
70. Hidden treatments in ecological experiments: Re-evaluating the ecosystem function of biodiversity10.1007/s004420050180 ↗
71. Influence of woody vegetation on pollinator densities in oilseed brassica fields in an australian temperate landscape10.1016/j.baae.2010.05.001 ↗
72. Novel methods improve prediction of species’ distributions from occurrence data10.1111/j.2006.0906-7590.04596.x ↗
73. Miller, K., Puotinen, M., Przeslawski, R., Huang, Z., Bouchet, P., Radford, B., Li, J., Kool, J., Picard, K., and Thums, M. (2019, May 17). Ecosystem Understanding to Support Sustainable Use, Management and Monitoring of Marine Assets in the North and North-West Regions: Final Report for NESP d1 2016e, Available online: https://www.nespmarine.edu.au/system/files/Miller%20et%20al%20Project%20D1%20Report%20summarising%20outputs%20from%20synthesis%20of%20datasets%20and%20predictive%20models%20for%20N%20and%20NW_Milestone%204_RPv3.pdf.
74. Li, J. (2013, January 1–6). Predicting the spatial distribution of seabed gravel content using random forest, spatial interpolation methods and their hybrid methods. Proceedings of the International Congress on Modelling and Simulation (MODSIM) 2013, Adelaide, Austrialia.
75. Multivariate geostatistics for the predictive modelling of the surficial sand distribution in shelf seas10.1016/j.csr.2006.07.028 ↗
76. Verfaillie, E., Du Four, I., Van Meirvenne, M., and Van Lancker, V. (2008). Geostatistical modeling of sedimentological parameters using multi-scale terrain variables: Application along the belgian part of the north sea. Int. J. Geogr. Inf. Sci.10.1080/13658810802184135 ↗
77. Predictive modelling of seabed sediment parameters using multibeam acoustic data: A case study on the carnarvon shelf, western australia10.1080/13658816.2011.590139 ↗
78. Zhao, Y., and Cen, Y. (2014). Predicting seabed hardness using random forest in R. Data Mining Applications with R, Elsevier.
79. Li, J., Tran, M., and Siwabessy, J. (2016). Selecting optimal random forest predictive models: A case study on predicting the spatial distribution of seabed hardness. PLoS ONE, 11.10.1371/journal.pone.0149089 ↗
80. Siwabessy, P.J.W., Daniell, J., Li, J., Huang, Z., Heap, A.D., Nichol, S., Anderson, T.J., and Tran, M. (2013). Methodologies for Seabed Substrate Characterisation Using Multibeam Bathymetry, Backscatter and Video Data: A Case Study from the Carbonate Banks of the Timor Sea, Northern Australia, Record 2013/11.
81. Performance of predictive models in marine benthic environments based on predictions of sponge distribution on the australian continental shelf10.1016/j.ecoinf.2011.01.001 ↗
82. Combining observations with acoustic swath bathymetry and backscatter to map seabed sediment texture classes: The empirical best linear unbiased predi10.1016/j.sedgeo.2015.07.012 ↗
83. Diesing, M., Mitchell, P., and Stephens, D. (2016). Image-based seabed classification: What can we learn from terrestrial remote sensing?. ICES J. Mar. Sci., fsw 118.10.1093/icesjms/fsw118 ↗
84. Where is helvellyn? Fuzziness of multi-scale landscape morphometry10.1111/j.0020-2754.2004.00117.x ↗
85. A protocol for data exploration to avoid common statistical problems10.1111/j.2041-210X.2009.00001.x ↗
86. A caution regarding rules of thumb for variance inflation factors10.1007/s11135-006-9018-6 ↗
87. Harrell, F.E. (1997). Regression modelling strategies: with applications to linear models, logistic regression, and survival analysis, Springer.
88. Application of machine learning methods to spatial interpolation of environmental variables10.1016/j.envsoft.2011.07.004 ↗
89. Random forests for classification in ecology
90. Collins, F.C., and Bolstad, P.V. (1996, January 21–25). A comparison of spatial interpolation techniques in temperature estimation. Proceedings of the Third International Conference/Workshop on Integrating GIS and Environmental Modeling, Santa Fe, NM, USA.
91. Ripley, B.D. (1981). Spatial Statistics, John Wiley & Sons.10.1002/0471725218 ↗
92. Kriging on highly skewed data for dtpa-extractable soil zn with auxiliary information for ph and organic carbon10.1016/j.geoderma.2005.11.002 ↗
93. Kriging soil texture under different types of nonstationarity10.1016/S0016-7061(02)00308-7 ↗
94. Classification and regression by randomforest
95. Ridgeway, G. (2019, May 17). gbm: Generalized Boosted Regression Models. Available online: https://cran.r-project.org/web/packages/gbm/index.html.
96. A working guide to boosted regression trees10.1111/j.1365-2656.2008.01390.x ↗
97. Breiman, L., Friedman, J.H., Olshen, R.A., and Stone, C.J. (1984). Classification and Regression Trees, Belmont.
98. Lives: A new habitat modelling technique for predicting the distributions of species‘ occurrence using presence-only data based on limiting factor theory10.1007/s10531-007-9270-7 ↗
99. Model selection in ecology and evolution10.1016/j.tree.2003.10.013 ↗
100. Venables, W.N., and Ripley, B.D. (2002). Modern Applied Statistics with S-Plus, Springer. [4th ed.].10.1007/978-0-387-21706-2 ↗