Register      Login
Soil Research Soil Research Society
Soil, land care and environmental research
RESEARCH ARTICLE

Ginninderra revisited: the contribution of B. E. Butler to statistical pedology

R. Webster
+ Author Affiliations
- Author Affiliations

Rothamsted Research, Harpenden, Hertfordshire, AL5 2JQ, Great Britain. Email: richard.webster@bbsrc.ac.uk

Soil Research 49(3) 203-211 https://doi.org/10.1071/SR10174
Submitted: 19 August 2010  Accepted: 10 November 2010   Published: 12 April 2011

Abstract

The 1960s were a decade of controversy like no other in soil systematics. Bruce E. Butler had recently moved to Canberra and was perplexed by the apparent lack of ‘orderliness’ in the soil patterns on the Tablelands there. He sought elucidation by the then newly developing methods in multivariate and spatial statistics.

Two surveys of soil on the Ginninderra Experiment Station, 12 km north of Canberra, were planned to provide data for analysis. The first was made on a grid at ~180-m intervals, at the nodes of which the soil profiles were described and samples taken for chemical analysis. Correlations between variables were weak, a principal coordinate analysis showed the scatter of sampling points as a single cloud, and classification proved to be of little value in predicting individual variables. The second survey had a spatially nested design with distances 5, 18, 56, and 180 m, leading to the estimation of the components of variance of several topsoil properties at those distances. The accumulated components provided rough variograms with contrasting patterns; there was little coherence. Almost all the variance in soil potassium (K), for example, occurs within 180 m, whereas some 35% of the variance in phosphorus (P) occurs over longer distances.

This paper revisits that research, emphasising its innovation and adding a modern geostatistical analysis from the original grid data. The conventional variogram of P has an estimated correlation range of 728 m, and a map made by kriging shows a coarse pattern of variation. In contrast, the variogram of K appears as all nugget at the working scale, and so kriging or any form of interpolation from 180-m grids is not sensible. Denser sampling is needed, and proximal sensing by gamma-ray spectrometry seems a promising approach.

Additional keywords: soil mapping, geostatistics, nested survey, multivariate analysis, variance components, variogram, kriging.


References

Butler BE (1980) ‘Soil classification for soil survey.’ (Oxford University Press: Oxford, UK)

Chilès J-P, Delfiner P (1999) ‘Geostatistics: modeling spatial uncertainty.’ (John Wiley and Sons: New York)

Gower JC (1966) Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika 53, 325–328.

Gower JC (1971) A general coefficient of similarity and some of its properties. Biometrics 27, 857–871.
A general coefficient of similarity and some of its properties.Crossref | GoogleScholarGoogle Scholar |

Haskard KA, Lark RM (2009) Modelling non-stationary variance of soil properties by tempering an empirical spectrum. Geoderma 153, 18–28.
Modelling non-stationary variance of soil properties by tempering an empirical spectrum.Crossref | GoogleScholarGoogle Scholar |

Isbell RF (2002) ‘The Australian Soil Classification.’ Rev. edn (CSIRO Publishing: Melbourne)

Kollias VJ, Kalivas DP, Yassoglou NJ (1999) Mapping the soil resources of a recent alluvial plain in Greece using fuzzy sets in a GIS environment. European Journal of Soil Science 50, 261–273.
Mapping the soil resources of a recent alluvial plain in Greece using fuzzy sets in a GIS environment.Crossref | GoogleScholarGoogle Scholar |

Kozlovskii FI, Sorokina NP (1976) The soil individual and the elementary analysis of soil cover pattern. In ‘Soil combinations and their genesis’. (Ed. VM Fridland) pp. 55–64. (Amerind: New Delhi)

Lark RM (2009) Kriging a soil variable with a simple nonstationary variance model. Journal of Agricultural, Biological & Environmental Statistics 14, 301–321.
Kriging a soil variable with a simple nonstationary variance model.Crossref | GoogleScholarGoogle Scholar |

Lark RM, Webster R (1999) Analysis and elucidation of soil variation using wavelets. European Journal of Soil Science 50, 185–206.
Analysis and elucidation of soil variation using wavelets.Crossref | GoogleScholarGoogle Scholar |

Lark RM, Webster R (2001) Changes in variance and correlation of soil properties with scale and location: analysis using an adapted maximal overlap discrete wavelet transform. European Journal of Soil Science 52, 547–562.
Changes in variance and correlation of soil properties with scale and location: analysis using an adapted maximal overlap discrete wavelet transform.Crossref | GoogleScholarGoogle Scholar |

Macdonald RC, Isbell RF, Speight JG, Waller J, Hopkins MS (1998) ‘Australian soil and land survey—Field handbook.’ 2nd edn (CSIRO Land and Water: Canberra, ACT)

Marcuse S (1949) Optimum allocation and variance components in mixed sampling with application to chemical analysis. Biometrics 5, 189–206.
Optimum allocation and variance components in mixed sampling with application to chemical analysis.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaH1MXkvFyqug%3D%3D&md5=8fc0c0ccde3f54cbd4336ebc5750ba87CAS |

Matheron G (1965) ‘Les variables régionalisées et leur estimation.’ (Masson: Paris)

Matheron G (1969) ‘Le krigeage universel.’ Cahiers du Centre de Morphologie Mathématique, No. 1. (Ecole des Mines de Paris: Fontainebleau, France)

McBratney AB, de Gruijter JJ (1992) A continuum approach to soil classification by modified fuzzy k-means with extragrades. Journal of Soil Science 43, 159–175.
A continuum approach to soil classification by modified fuzzy k-means with extragrades.Crossref | GoogleScholarGoogle Scholar |

Moore AW, Russell JS (1967) Comparison of coefficients and grouping procedures in numerical analysis of trace element data. Geoderma 1, 139–158.
Comparison of coefficients and grouping procedures in numerical analysis of trace element data.Crossref | GoogleScholarGoogle Scholar |

Northcote KH (1971) ‘A factual key for the recognition of Australian soils.’ 3rd edn (Rellim Technical Publications: Glenside, S. Aust.)

Olea RA (1999) ‘Geostatistics for engineers and earth scientists.’ (Kluwer Academic Publishers: Boston, MA)

Oliver MA, Webster R (1989) A geostatistical basis for spatial weighting in multivariate classification. Mathematical Geology 21, 15–35.
A geostatistical basis for spatial weighting in multivariate classification.Crossref | GoogleScholarGoogle Scholar |

Payne RW (Ed.) (2010) ‘The guide to GenStat—Release 13. Part 2. Statistics.’ (VSN International: Hemel Hempstead, UK)

Rayner JH (1966) Classification of soil by numerical methods. Journal of Soil Science 17, 79–92.
Classification of soil by numerical methods.Crossref | GoogleScholarGoogle Scholar |

Saby NPA, Thioulouse J, Jolivet CC, Ratié C, Boulonne A, Bispo A, Arrouays D (2009) Multivariate analysis of the spatial patterns of 8 trace elements using the French soil monitoring network data. The Science of the Total Environment 407, 5644–5652.
Multivariate analysis of the spatial patterns of 8 trace elements using the French soil monitoring network data.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1MXhtFGjsbnF&md5=38db610cebf741a59b04f6323658566eCAS | 19646735PubMed |

Sarkar PK, Bidwell OW, Marcus LF (1966) Selection of characteristics for numerical classification of soils. Soil Science Society of America Proceedings 30, 269–272.
Selection of characteristics for numerical classification of soils.Crossref | GoogleScholarGoogle Scholar |

Sleeman JR (1979) The soils of the Ginninderra Experiment Station, A.C.T. Division of Soils Divisional Report No. 41. CSIRO, Division of Soils, Canberra, ACT.

Sneath PHA (1957) The application of computers to taxonomy. Journal of General Microbiology 17, 201–226.

Sokal RR, Michener CD (1958) A statistical method for evaluating systematic relationships. The University of Kansas Science Bulletin 38, 1409–1438.

Stace HCT, Hubble GD, Brewer R, Northcote KH, Sleeman JR, Mulcahy MJ, Hallsworth EG (1968) ‘A handbook of Australian soils.’ (Rellim Technical Publications: Glenside, S. Aust.)

Voltz M, Webster R (1990) A comparison of kriging, cubic splines and classification for predicting soil properties from sample information. Journal of Soil Science 41, 473–490.
A comparison of kriging, cubic splines and classification for predicting soil properties from sample information.Crossref | GoogleScholarGoogle Scholar |

Webster R (2000) Is soil variation random? Geoderma 97, 149–163.
Is soil variation random?Crossref | GoogleScholarGoogle Scholar |

Webster R, Butler BE (1976) Soil survey and classification studies at Ginninderra. Australian Journal of Soil Research 14, 1–24.
Soil survey and classification studies at Ginninderra.Crossref | GoogleScholarGoogle Scholar |

Webster R, Cuanalo de la C HE (1975) Soil transect correlograms of North Oxfordshire and their interpretation. Journal of Soil Science 26, 176–194.
Soil transect correlograms of North Oxfordshire and their interpretation.Crossref | GoogleScholarGoogle Scholar |

Webster R, Oliver MA (1990) ‘Statistical methods in soil and land resource survey.’ (Oxford University Press: Oxford, UK)

Webster R, Oliver MA (2007) ‘Geostatistics for environmental scientists.’ 2nd edn (John Wiley and Sons: Chichester, UK)

Youden WJ, Mehlich A (1937) Selection of efficient methods for soil sampling. Contributions of the Boyce Thompson Institute for Plant Research 9, 59–70.