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Simulation model of soil compaction and root growth

I. Model structure

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Abstract

Soil compaction is understood to reduce root growth by increasing soil resistance to root elongation and by decreasing O2 transport to root surfaces. Although mathematical models have been proposed for each of these processes, there remains a need for a more comprehensive model of root growth if the effects of soil compaction on carbon and nutrient cycling are to be represented in larger ecosystem simulation models. In the model presented here, root growth simulated in each horizontal layer of the soil profile is taken to be the lesser of that enabled by soil strength and that by carbon respiration. Soil strength is calculated from the bulk modulus of soil elasticity, estimated from bulk density, water content and organic matter content, and carbon respiration is estimated from the availability of O2, nutrients and reduced carbon in the roots. This model represents an attempt to integrate the effects on root growth of soil physical characteristics, such as water content and bulk density, with those of soil chemical characteristics, such as nutrient and O2 concentrations, and those of plant biological activity, such as the production of reduced carbon. The mathematical equations on which the model is based are presented, and the behaviour of the model is discussed. Further knowledge of how root branching is controlled will be needed for further model development. In the accompanying article, this model of root growth is tested against experimental data recorded in soil columns at different soil bulk densities.

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References

  • Acock B, Reddy V R, Whisler F D, Baker D N, McKinion J M, Hodges H F and Boote K J 1985 The soybean crop simulator GLYCIM: Model doc. 1982, PB85 171163/AS. National Technical Information Service, Springfield, VA.

    Google Scholar 

  • Barber S A and Silberbush M 1984. Plant root morphology and nutrient uptake. In Roots, Nutrient and Water Influx, and Plant Growth. Eds. S A Barber and D R Bouldin. pp 65–87. Amer. Soc. Agron. Spec. Publ. no. 49. Madison, WI.

    Google Scholar 

  • Bresler E 1973 Simultaneous transport of solutes and water under transient unsaturated flow conditions. Water Resour. Res. 9, 975–986.

    Google Scholar 

  • Brugge R and Thornley J H M 1985 A growth model of root mass and vertical distribution dependent on carbon substrate from photosynthesis and with non-limiting soil conditions. Ann. Bot. 55, 563–577.

    Google Scholar 

  • Campbell G S 1985 Soil Physics with BASIC. Elsevier, Amsterdam, The Netherlands. 185 p.

    Google Scholar 

  • Carey R W and Berry J A 1978 Effects of low temperature on respiration and uptake of rubidium ions by excised barley and corn roots. Plant Physiol. 61, 858–860.

    Google Scholar 

  • Craswell E T 1978 Some factors influencing denitrification and nitrogen immobilization in a clay soil. Soil Biol. Biochem. 10, 241–245.

    Google Scholar 

  • Dexter A R 1987 Compression of soil around roots. Plant and Soil 97, 401–406.

    Google Scholar 

  • De Willigen P and Van Noordwijk M 1984 Mathematical models on diffusion of oxygen to and within plant roots, with special emphasis on soil-root contact. I. Derivation of the models. Plant and Soil 77, 215–231.

    Google Scholar 

  • Gardner W R 1960 Dynamic aspects of water availability to plants. Soil Sci. 89, 63–73.

    Google Scholar 

  • Glinski J and Stepniewski W 1985 Soil Aeration and Its Role for Plants. CRC Press, Boca Raton, FL. 229 p.

    Google Scholar 

  • Glinski J and Lipiec J 1990 Soil Physical Conditions and Plant Roots. CRC Press, Boca Raton, FL. 250 p.

    Google Scholar 

  • Grant R F 1989a Simulation of maize phenology. Agron. J. 81, 451–458.

    Google Scholar 

  • Grant R F 1989b Test of a simple biochemical model for photosynthesis of maize and soybean leaves. Agric. For. Meteorol. 48, 59–74.

    Google Scholar 

  • Grant R F 1991a The distribution of water and nitrogen in the soil-crop system: A simulation study with validation from a winter wheat field trial. Fertil. Res. 27, 199–214.

    Google Scholar 

  • Grant R F 1991b A technique for estimating denitrification rates at different soil temperatures, water contents and nitrate concentrations. Soil Sci. 152, 41–52.

    Google Scholar 

  • Grant R F 1992a Simulation of carbon dioxide and water deficit effects upon photosynthesis of soybean leaves with testing from growth chamber studies. Crop Sci. 32, 1313–1321.

    Google Scholar 

  • Grant R F 1992b Simulation of carbon dioxide and water deficit effects upon photosynthesis and transpiration of soybean canopies with testing from growth chamber studies. Crop Sci. 32, 1322–1328.

    Google Scholar 

  • Grant R F 1992c Non-symbiotic microbial activity in the rhizosphere and its relationship with nutrient uptake by root systems.In Proc. Roots of Plant Nutrition Conf. Ed. H F Reetz. pp 43–51 Phosphate and Potash Inst., Atlanta, GA.

    Google Scholar 

  • Grant R F 1992d Dynamic simulation of phase changes in snowpacks and soils. Soil Sci. Soc. Am. J. 56, 1051–1062.

    Google Scholar 

  • Grant R F 1993 Simulation model of soil compaction and root growth. II. Model performance and validation. Plant and Soil 150, 15–24.

    Google Scholar 

  • Grant R F, Peters D B, Larson E M and Huck M G 1989a Simulation of canopy photosynthesis in maize and soybean. Agric. For. Meteorol. 48, 75–92.

    Google Scholar 

  • Grant R F, Frederick J R, Hesketh J D and Huck M G 1989b Simulation of growth and morphological development of maize under contrasting water regimes. Can. J. Plant Sci. 69, 401–418.

    Google Scholar 

  • Grant R F, Izaurralde R C and Chanasyk D S 1990 Soil temperature under conventional and minimum tillage: Simulation and experimental verification. Can. J. Soil Sci. 70, 289–304.

    Google Scholar 

  • Grant R F, Rochette P and Desjardins R L 1993a Energy exchange and water use efficiency of field crops: Validation of a simulation model. Agron. J. 85 (In press).

  • Grant R F, Juma N G and McGill W B 1993b Simulation of carbon and nitrogen transformations in soils. I. Mineralization. Soil Biol. Biochem. (In press).

  • Greacen E L and Oh J S 1972 Physics of root growth. Nature New Biol. 235, 24–25.

    PubMed  Google Scholar 

  • Hoogenboom G, Huck M G and Hillel D 1987 Modification and testing of a model simulating root and shoot growth as related to soil water dynamics. Adv. Irrig. 4, 331–387.

    Google Scholar 

  • Jones C A and Kiniry J R 1986 CERES-maize. Texas A & M University Press, College Station. TX.

    Google Scholar 

  • Jones C A, Bland W L, Ritchie J T and Williams J R 1990 Simulation of root growth. In Modeling Plant and Soil Systems. Eds. V J Hanks and J T Ritchie. pp 91–123. Amer. Soc. Agron. no. 31. Madison, WI.

    Google Scholar 

  • Kemper W D and Rollins J B 1966 Osmotic efficiency coefficients across compacted clays. Soil Sci. Soc. Am. Proc. 30, 529–534.

    Google Scholar 

  • Klepper B 1990 Root growth and water uptake.In Irrigation of Agricultural Crops. Agronomy Monograph no. 30 pp. 281–322. Agron. Soc. Amer., Madison, WI.

    Google Scholar 

  • Klepper B and Rickman R W 1990 Modeling crop root growth and function. Adv. Agron 44, 113–132.

    Google Scholar 

  • Lambert J R and Baker D N 1984 RHIZOS: A simulator of root and soil processes. Tech. Bull. 1080, South Carolina Agric. Exp. Stn., Clemson, SC.

    Google Scholar 

  • Lemon E R 1962 Soil aeration and plant relations. I. Theory. Agron. J. 54, 167–170.

    Google Scholar 

  • Lemon E R and Wiegand C L 1962 Soil aeration and plant relations. II. Root respiration. Agron. J. 54, 171–175

    Google Scholar 

  • Luxmoore R J, Stolzy L H and Letey J 1970a Oxygen diffusion in the soil-plant system. I. A model. Agron. J. 62, 317–322.

    Google Scholar 

  • Luxmoore R J, Stolzy L H and Letey J 1970b Oxygen diffusion in the soil-plant system. II. Respiration rate, permeability and porosity of consecutive excised segments of maize and rice roots. Agron. J. 62, 322–324.

    Google Scholar 

  • MacLeod R D and Thompson A 1979 Development of lateral root primordia inVicia faba, Pisum sativum, Zea mays andPhaseolus vulgaris: Rates of primordium formation and cell doubling times. Ann. Bot. 44, 435–449.

    Google Scholar 

  • McCree K J 1974 Equations for the rate of dark respiration of white clover and grain sorghum as functions of dry weight, photosynthetic rate and temperature. Crop Sci. 14, 509–514.

    Google Scholar 

  • McDermitt D K and Loomis R S 1981 Elemental composition of biomass and its relation to energy content, growth efficiency and growth yield. Ann. Bot. 48, 275–290.

    Google Scholar 

  • Norman J M 1989 Synthesis of canopy processes.In Plant Canopies: Their Growth, Form and Function. Eds. G Russell, B Marshall, and P G Jarvis. pp 161–175. Cambridge University Press, Cambridge, UK.

    Google Scholar 

  • Penning de Vries F W T, Brunstig A H M and van Laar H H 1974 Products, requirements and efficiency of biosynthesis: A quantitative approach. J. Theor. Biol. 45, 339–377.

    PubMed  Google Scholar 

  • Porter J R, Klepper B and Belford R K 1986 A model (WHTROOT) which synchronizes root growth and development with shoot development for winter wheat. Plant and Soil 92, 133–145.

    Google Scholar 

  • Rickman R W, Waldman S E and Klepper E 1992 Calculating daily root length density profiles by applying elastic theory to agricultural soils. J. Plant Nutr. 15, 661–675.

    Google Scholar 

  • Shierlaw J and Alston M 1984 Effect of soil compaction on root growth and uptake of phosphorus. Plant and Soil 77, 15–28.

    Google Scholar 

  • Sicher R C, Kremer D F and Harris W G 1984 Diurnal carbohydrate metabolism of barley leaves. Plant Physiol: 76, 165–169.

    Google Scholar 

  • Skopp J 1985 Oxygen uptake and transfer in soils: Analysis of the air-water interfacial area. Soil Sci. Soc. Am. J. 49, 1327–1331.

    Google Scholar 

  • Van Noordwijk M 1987 Methods for quantification of root distribution pattern and root dynamics in the field.In Proc 20th Colloq. Intl. Potash Institute, Berne, Switz. pp 263–281.

  • Van Noordwijk M and De Willigen P 1984 Mathematical models on diffusion of oxygen to and within plant roots with special emphasis on soil-root contact. II. Applications. Plant and Soil 77, 233–241.

    Google Scholar 

  • Veen B W 1981 Relation between root respiration and root activity. Plant and Soil 63, 73–76.

    Google Scholar 

  • Wilhelm E, Battino R and Wilcock R J 1977 Low-pressure solubility of gases in liquid water. Chem. Rev. 77, 219–262.

    Google Scholar 

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Grant, R.F. Simulation model of soil compaction and root growth. Plant Soil 150, 1–14 (1993). https://doi.org/10.1007/BF00779170

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