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The growth of root systems — A numerical computer simulation model

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Summary

A simulation model of the growth of the plant root system is described. Firstly, the numbers and lengths of the laterals derived from a single axis are obtained from specified rates of elongation and branching. Secondly, the vertical distribution of filament lengt his obtained, after specifying the rate of initiation of axes at the crown of the plant and the orientation of successive, short straight segments representing the curved roots. Diagrams of the network can be produced using the graph-plotting facility of computer, and other properties such as the distribution of length of filament of given age and the distribution of apices can be computed. The model has sufficient flexibility to incorporate information on the temporal variation or local spatial variation in rates of growth found under non-uniform conditions.

The utility of the model in agronomic studies is illustrated by using it to calculate the effects of fertilizer treatments on the root distribution, given certain growth responses expressed in terms of rates of elongation and branching. The examples considered pertain to (a) the enrichment of a layer in the soil with a fertilizer supplying a scarce nutrient and (b) a deferred application of a fertilizer supplying a scarce nutrient

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Literature cited

  1. Barley, K. P., The effects of mechanical stress on the growth of roots. J. Expt. Bot. 13, 95–110 (1962).

    Google Scholar 

  2. Barley, K. P., The configuration of the root system in relation to nutrient uptake. Adv. Agron. 22, 159–201 (1971).

    Google Scholar 

  3. Bowen, G. D. and Rovira, A. D., Phosphate uptake along attached and excised wheat roots measured by an automatic scanning method. Australian J. Biol. Sci. 20, 369–378 (1967).

    Google Scholar 

  4. Cohen, Y. and Tadmor, N. H., The effects of temperature on the elongation of seedling roots of some grasses and legumes. Crop Sci. 9, 189–192 (1969).

    Google Scholar 

  5. Dittmer, H. J., A quantitative study of the roots and root hairs of a winter rye plant (Secale cereale). Am. J. Bot. 24, 417–420 (1938).

    Google Scholar 

  6. Garwood, E. A., Some effects of soil water conditions and soil temperatures on the roots of grasses and clover II. Effects of variations in the soil water content and in soil temperature on root growth. J. Brit. Grassl. Soc. 23, 117–128 (1968).

    Google Scholar 

  7. Grasmanis, V. O. and Barley, K. P., The uptake of nitrate and ammonium by successive zones of the pea radicle. Australian J. Biol. Sci. 22, 1313–1320 (1969).

    Google Scholar 

  8. Hackett, C., A study of the root system of barley I. Effects of nutrition on two varieties. New Phytol. 67, 287–299 (1968).

    Google Scholar 

  9. Hackett, C., A study of the root system of barley II. Relationships between root dimensions and nutrient uptake. New Phytol. 68, 1023–1030 (1968).

    Google Scholar 

  10. Hackett, C. and Rose, D. A., A model of extension and branching of a seminal root of barley, and its use on studying relations between root dimensions I. The model. Australian J. Biol. Sci. 25, (in press) (1972).

  11. May, L. H., Chapman, F. H. and Aspinall, D., Quantitative studies of root development I. The influence of nutrient concentration. Australian J. Biol. Sci. 18, 25–35 (1965).

    Google Scholar 

  12. May, L. H., Randles, F. H., Aspinall, D. and Paleg, L. G., Quantitative studies of root development II. Growth in the early stages of development. Australian J. Biol. Sci. 20, 273–283 (1967).

    Google Scholar 

  13. Passioura, J. B. and Frere, M. H., Numerical analysis of the convection and diffusion of solutes to roots. Australian J. Soil Research 5, 149–159 (1967).

    Google Scholar 

  14. Pavlychenko, T. K., Quantitative study of the entire root systems of weed and crop plants under field conditions. Ecology 18, 62–79 (1937).

    Google Scholar 

  15. Pinthus, M. J., Tillering and coronal root formation in some common and durum wheat varieties. Crop. Sci. 9, 267–272 (1969).

    Google Scholar 

  16. Schuurman, J. J. and deBoer, J. J. H., The developmental pattern of roots and shoots of oats under favourable conditions. Neth. J. Agr. Sci. 18, 168–181 (1970).

    Google Scholar 

  17. Taylor, H. M. and Ratliff, L. F., Root elongation rates of cotton and peanuts as a function of soil strength and soil water content. Soil Sci. 108, 113–119 (1969).

    Google Scholar 

  18. Walter, C. J., Ph. D. Thesis, University of Adelaide (1971).

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Lungley, D.R. The growth of root systems — A numerical computer simulation model. Plant Soil 38, 145–159 (1973). https://doi.org/10.1007/BF00011223

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  • DOI: https://doi.org/10.1007/BF00011223

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