Comparison between the laboratory method and the Stolf penetrometer in soil density analysis

a study using geostatistical approaches



Soil density, Soil sampling, Geostatistics, Ordinary Kriging, Stolf's penetrometer


The aim of this study was to assess the accuracy of soil density estimated by the Stolf impact penetrometer using geostatistical methods and taking laboratory density as a reference. Additionally, the research included a description of soil sampling methods, soil density determination, and basic geostatistical concepts. For this research, 78 soil samples and an equal number of impact measurements were collected in a coffee plantation in Minas Gerais, Lavras, Brazil. Based on these data, exponential models were fitted, and soil density was mapped using ordinary kriging. The results revealed that the Stolf penetrometer tends to overestimate soil density, although it still exhibits a strong positive correlation (79.3\%) with laboratory measurements. Therefore, it was concluded that in situations where precision is not imperative, this cost-effective approach is a viable option for soil density analysis in soil research.


CARTER, M.R.; GREGORICH, E.G. Soil sampling and methods of analysis. 2nd edition. Taylor & Francis Group, LLC.

CHILÈS, J. P.; DELFINER, P. Geostatistics: Modeling Spatial Uncertainty. 2nd edition, John Wiley & Sons, Inc., Hoboken, New Jersey, 2012.

CRASSIE, N. A. Statistics for spatial data. revised edition. John Wiley & Sons, Inc., 1993.

DELGADO, R. T.; MULLER, U. Geostatistics for Compositional Data with R. Springer Nature Switzerland AG. 2021.

DIGGLE, P. J., MENEZES, R. e SU, T. (2010) Geostatistical inference under preferential sampling. Journal of the Royal Statistical Society: Series C (Applied Statistics), 59, 191-232.

DIGGLE, P.J.; RIBEIRO Jr, P.J. Model-based Geostatistics. Springer Science + Business Media, LLC. 2007.

EASH, N.S.; SAUER, T. J.; O'DELL, D. ; ODOI, E. Soil Science Simplified. 6th Edition. John Wiley & Sons, Inc., Hoboken, New Jersey, 2016.

EMBRAPA. VII plano diretor da MakeUppercaseembrapa: 2020-2030. Brasilia, DF : Embrapa, 2020.

ISAAKS, E. H.; SRIVASTAVA, R. M. Applied geostatistics. Oxford University Press, Inc. New York, 1989.

JOURNEL, A. G.; HUIJBREGTS, C. J. Mining Geostatistics. ACADEMIC PRESS INC. Centre de Geostatisrique, Fontainebleau, France, 1989.

KLUTE, A.; PAGE, A. Methods of soil analysis. Part 1. Physical and mineralogical methods. American Society of Agronomy, Inc., 1986.

LAL, R.; SHUKLA, M. K. Principles of soil physics. Marcel Dekker, Inc. New York, 2005.

MARTINS, C. A. S. et al. Avaliação da compactação de um latossolo vermelho amarelo sob diferentes coberturas vegetais. Biosci. J., Uberlândia, v. 26, n. 1, p. 79-83, 2010.

OYANA, T. J. Spatial Analysis with R: Statistics, Visualization, and Computational Methods. 2nd edition, Taylor & Francis Group, LLC. 2021.

PLASTER, E.J. Soil Science and Management, 6th Ed. Delmar, Cengage Learning. 2014.

R CORE TEAM. it R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. 2012. ISBN 3-900051-07-0. Disponível em: url

RAKSHIT, A.; SINGH, S. K.; ABHILASH, P. C.; BISWAS, A. Soil Science: Fundamentals to Recent Advances, Springer Nature Singapore Pte Ltd. 2021.

RIBEIRO Jr., P.J.; DIGGLE, P.J. geoR: A package for geostatistical analysis. R-NEWS, Vol 1, No 2, 15-18. ISSN 1609-3631. 2001.

STOLF, R.; MURAKAMI, J. H.; BRUGNARO, C.; SILVA, L. G.; SILVA, L. C. F. d.; MARGARIDO, L. A. C. Penetrômetro de impacto stolf-programa computacional de dados em excel-vba. Revista Brasileira de Ciência do Solo, SciELO Brasil, v. 38, p. 774-782, 2014.

SOARES, A. Geoestatística para as ciências da terra e do ambiente. [S.l.]: Instituto Superior Técnico, 2006.

TEIXEIRA, P. C.; DONAGEMMA, G. K.; FONTANA, A.; TEIXEIRA, W. G. et al. Manual de métodos de análise de solo. [S.l.]: Embrapa Brasília, DF, 2017.

WEIL, R. R.; BRADY, N. C. The Nature and Properties of Soils. 15th edition. Pearson Education Limited. 2017.

YAMAMOTO, J. K.; LANDIM, B. P. M. Geoestatística: conceitos e aplicações. São Paulo : Oficina de Textos, 2013.



How to Cite

Nhancololo, A. M., Oliveira , W. A., Pereira , F. A. C., Silva , B. M., & Scalon , J. D. (2024). Comparison between the laboratory method and the Stolf penetrometer in soil density analysis : a study using geostatistical approaches. Sigmae, 13(1), 63–78. Retrieved from