Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-27T22:20:40.407Z Has data issue: false hasContentIssue false
  • English
  • Français

Soil Movement in Long-term Field Experiments as a Result of Cultivations I. A Model for Approximating Soil Movement in One Horizontal Dimension by Repeated Tillage

Published online by Cambridge University Press:  03 October 2008

E. Sibbesen ,
C. E. Andersen ,
S. Andersen  and
M. Flensted-Jensen
E. Sibbesen
Affiliation:
Department of Soil Fertility and Plant Nutrition, The Royal Veterinary and Agricultural University, Thorvaldsensvej 40, DK-1871 Copenhagen V, Denmark
C. E. Andersen
Affiliation:
Department of Soil Fertility and Plant Nutrition, The Royal Veterinary and Agricultural University, Thorvaldsensvej 40, DK-1871 Copenhagen V, Denmark
S. Andersen
Affiliation:
Department of Mathematics and Statistics, The Royal Veterinary and Agricultural University, Thorvaldsensvej 40, DK-1871 Copenhagen V, Denmark
M. Flensted-Jensen
Affiliation:
Department of Mathematics and Statistics, The Royal Veterinary and Agricultural University, Thorvaldsensvej 40, DK-1871 Copenhagen V, Denmark
Get access Rights & Permissions [Opens in a new window]

Summary

A serious problem in long-term field experiments is that soil is moved from plot to plot as a result of cultivations. The problem is often overlooked and very few attempts have been made to quantify this movement under varying conditions.

A simple, mathematical model for approximating the movement of soil in one horizontal dimension by repeated tillage with one or more tillage implements is presented. The model describes the development with time of a concentration gradient of substance, by means of the solution of a diffusion equation. The model is in agreement with ‘the central limit theorem’, when it is used for the situation where the same cultivations are repeated many times in alternating directions.

The model fitted well to data taken from the literature.

Type
Research Article
Information
Experimental Agriculture , Volume 21 , Issue 2 , April 1985 , pp. 101 - 107
Copyright
Copyright © Cambridge University Press 1985

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Barr, A. J., Goodnight, J. H., Sall, J. P. & Helwig, J. T. (1976). A Users Guide to SAS 76. Raleigh, North Carolina 27605 USA: SAS Institute Inc.Google Scholar
Crank, J. (1975). The Mathematics of Diffusion. Second edition. Oxford: Clarendon Press.Google Scholar
Feller, W. (1966). An Introduction to Probability Theory and its Application. Volume II. New York, London, Sydney: John Wiley & Sons.Google Scholar
Hiroche, R., Miranda, L. T. de & Soares, E. (1979). Corn plot experiment contamination from fertilization of adjacent plots. Revista Brasileira de Ciência do Solo 3:190–193.Google Scholar
Johnston, A. E. (1969). Plant nutrients in Broadbalk soils. Rothamsted Experimental Station Report for 1968, Part 2, 93–115.Google Scholar
Kofoed, A. D. (1960). The effect of mechanical soil tillage on the movement of superphosphate in the soil illustrated by means of radioactive phosphorus. Tidskrift for Planteavl 63:285–302.Google Scholar
Lindhard, J. (1976). Askov 1894: Investigations on displacements of applied fertilizers following soil preparations. Annates Agronomiques 27:611–624.Google Scholar
MacDonald, G. E. & Peck, N. H. (1976). Border effects in a longterm fertility experiment. Agronomy Journal 68:530–532.CrossRefGoogle Scholar
Njøs, A. & Steenberg, K. (1962). The effect of different tillage implements on the horizontal transfer of radioactive NH4H2PO4 in soil. Journal of Agricultural Engineering 7:342–344.Google Scholar
Sibbesen, E. & Andersen, C. E. (1985). Soil movement in long-term field experiments as a result of cultivations. II. How to estimate the two-dimensional movement of substances accumulating in the soil. Experimental Agriculture 21:109–117.CrossRefGoogle Scholar
Smith, A. N. (1971). Lateral movement of phosphate in soil during cultivation. Journal of the Australian Institute of Agricultural Science 37:352–354.Google Scholar
Warren, R. G. & Johnston, A. E. (1967). Hoosfield Continuous Barley. Rothamsted Experimental Station Report for 1966, 320–338.Google Scholar