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RESEARCH ARTICLE

Modelling oxygen transport in soil with plant root and microbial oxygen consumption: depth of oxygen penetration

F. J. Cook A B C D H , J. H. Knight C E and F. M. Kelliher F G
+ Author Affiliations
- Author Affiliations

A Freeman Cook & Associates Pty Ltd, PO Box 97, Glasshouse Mountains, Qld 4518, Australia.

B The University of Queensland, School of Agriculture and Food Sciences, St Lucia, Qld 4072, Australia.

C CSIRO Land and Water, 41 Boggo Road, Dutton Park, Qld 4102, Australia.

D Griffith University, Atmospheric Environment Research Centre, Nathan, Qld 4111, Australia.

E The University of Sydney, Faculty of Agriculture and Environment, Eveleigh, NSW 2015, Australia.

F Agresearch, Lincoln Research Centre, Private Bag 4749, Christchurch 8140, New Zealand.

G Lincoln University, Department of Soil and Physical Sciences, PO Box 84, Lincoln 7647, New Zealand.

H Corresponding author. Email: freeman@freemancook.com.au

Soil Research 51(6) 539-553 https://doi.org/10.1071/SR13223
Submitted: 25 July 2013  Accepted: 22 August 2013   Published: 19 November 2013

Abstract

A set of equations governing oxygen diffusion and consumption in soils has been developed to include microbial and plant-root sinks. The dependent variable is the transformed oxygen concentration, which is the difference between the gaseous concentration and a scaled value of the aqueous oxygen concentration at the root–soil interface. The results show how, as the air-filled porosity decreases, the reduced oxygen flux causes the depth of extinction to decrease. The results also show how the depth of extinction at a particular value of soil water content decreases with increasing temperature, due to increased microbial respiration. The critical value of water content at which the oxygen concentration goes to extinction at a finite depth was compared with alternative calculations with only a microbial sink. By ignoring the feedback of oxygen concentration on root uptake, the alternative calculations yielded substantially higher critical values of water content at all temperatures.

Two soil oxygen diffusion coefficient functions from the literature were compared and shown to give significantly different critical values of water content for fine-textured soils, one more realistic than the other. A single relationship between the extinction depth and the ratio of the water content to the critical value was shown to apply for all temperatures and soil textures. The oxygen profiles were used along with a function relating redox potential to oxygen concentration to generate redox potential profiles. This application of the model could be useful in explaining soil biochemical processes in soils. For one such process, denitrification, the depth at which a critical oxygen concentration is reached was calculated as a function of the air-filled porosity and temperature of the soil. The implications of the critical value of soil water content in terms of water-filled pore space and matric potential are discussed in relation to the diffusion coefficient functions and recent literature.

Additional keywords: air-filled pore space, denitrification, diffusion coefficient function, oxygen transport, redox potential, soil respiration.


References

Amato M, Bitella G, Rossi R, Gomez JA, Lovelli S, Gomez JJF (2009) Multi-electrode 3D resistivity imaging of alfalfa root zone. European Journal of Agronomy 31, 213–222.
Multi-electrode 3D resistivity imaging of alfalfa root zone.Crossref | GoogleScholarGoogle Scholar |

Baligar VC, Fageria NK, Elrashidi MA (1998) Toxicity and nutrient constraints on root growth. HortScience 33, 960–965.

Bartholomeus RP, Witte J-PM, van Bodegom PM, van Dam JC, Aerts R (2008) Critical soil conditions for oxygen stress to plant roots: Substituting the Feddes-function by a process-based model. Journal of Hydrology 360, 147–165.
Critical soil conditions for oxygen stress to plant roots: Substituting the Feddes-function by a process-based model.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXhtFWitb7L&md5=3839947046d22146461aa79584f63af6CAS |

Campbell GS (1974) Simple method for determining unsaturated conductivity from moisture retention data. Soil Science 117, 311–314.
Simple method for determining unsaturated conductivity from moisture retention data.Crossref | GoogleScholarGoogle Scholar |

Castellano MJ, Schmidt JP, Kaye JP, Walker C, Graham CB, Lin H, Dell CJ (2010) Hydrological and biogeochemical controls on the timing and magnitude of nitrous oxide flux across an agricultural landscape. Global Change Biology 16, 2711–2720.
Hydrological and biogeochemical controls on the timing and magnitude of nitrous oxide flux across an agricultural landscape.Crossref | GoogleScholarGoogle Scholar |

Chamindu Deepagoda TKK, Moldrup P, Schønning P, Kawamoto K, Komatsu T, de Jonge LW (2011) Generalised density-corrected model for gas diffusion in variably saturated soils. Soil Science Society of America Journal 75, 1315–1329.
Generalised density-corrected model for gas diffusion in variably saturated soils.Crossref | GoogleScholarGoogle Scholar |

Coleman DC, Andrews R, Ellis JE, Singh JS (1976) Energy-flow and partitioning in selected man-managed and natural ecosystems. Agro-ecosystems 3, 45–54.
Energy-flow and partitioning in selected man-managed and natural ecosystems.Crossref | GoogleScholarGoogle Scholar |

Cook FJ (1995) One-dimensional oxygen diffusion into soil with exponential respiration: analytical and numerical solutions. Ecological Modelling 78, 277–283.
One-dimensional oxygen diffusion into soil with exponential respiration: analytical and numerical solutions.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK2MXlsFyhsr8%3D&md5=b39760282826c710b30036a26a06dd10CAS |

Cook FJ, Kelliher FM (2006) Determining vertical root and microbial biomass distributions from soil samples. Soil Science Society of America Journal 70, 728–735.
Determining vertical root and microbial biomass distributions from soil samples.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD28XksVyluro%3D&md5=f5f6b7f67e8b7422341c070bd5b95af6CAS |

Cook FJ, Knight JH (2003a) Oxygen transport to plant roots: Modeling for physical understanding of soil aeration. Soil Science Society of America Journal 67, 20–31.
Oxygen transport to plant roots: Modeling for physical understanding of soil aeration.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3sXnvV2qug%3D%3D&md5=7b31a5d7d15ed044ea7edb166a1f2245CAS |

Cook FJ, Knight JH (2003b) Erratum, Oxygen transport to plant roots: Modelling for physical understanding of soil aeration. Soil Science Society of America Journal 67, 1964
Erratum, Oxygen transport to plant roots: Modelling for physical understanding of soil aeration.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3sXovFCkt7Y%3D&md5=0337fdc6b1baffcedd0a2bdbf4875459CAS |

Cook FJ, Dobos SK, Carlin GD, Millar GE (2004) Oxidation rate of pyrite in acid sulfate soils: in situ measurements and modelling. Australian Journal of Soil Research 42, 499–507.
Oxidation rate of pyrite in acid sulfate soils: in situ measurements and modelling.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2cXnslSgsrc%3D&md5=1e0fa828ce8845396050e962144abd4aCAS |

Cook FJ, Knight JH, Kelliher FM (2007) Oxygen transport in soil and the vertical distribution of roots. Australian Journal of Soil Research 45, 101–110.
Oxygen transport in soil and the vertical distribution of roots.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2sXjsFygu74%3D&md5=46fd122581128452c08f86168183bde5CAS |

Crutzen PJ (1981) Atmospheric chemical processes of the oxides of nitrogen, including nitrous oxide. In ‘Denitrification, nitrification and atmospheric nitrous oxide’. (Ed. CC Delwiche) pp. 17–44. (John Wiley & Sons: New York)

da Silva AP, Kay BD, Perfect E (1994) Characterization of the least limiting water range of soils. Soil Science Society of America Journal 58, 1775–1781.
Characterization of the least limiting water range of soils.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK2MXitlCjsLw%3D&md5=f4ab961c1fd39dad8cd0e83c0de87f7dCAS |

Davis GB, Ritchie AIM (1986) A model of oxidation in pyritic wastes: part 1 equations and approximate solution. Applied Mathematical Modelling 10, 314–322.
A model of oxidation in pyritic wastes: part 1 equations and approximate solution.Crossref | GoogleScholarGoogle Scholar |

Fageria NK, Santos AB, Filho MPB, Guimaraes CM (2008) Iron toxicity of lowland rice. Journal of Plant Nutrition 31, 1676–1697.
Iron toxicity of lowland rice.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXptlWiurg%3D&md5=c8c84ca48d8a28122eda67d421339112CAS |

Farquharson R, Baldock J (2008) Concepts in modelling N2O emissions from land use. Plant and Soil 309, 147–167.
Concepts in modelling N2O emissions from land use.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXosVyhs7w%3D&md5=7aaf66ed906c62d065a34a0344a58a42CAS |

Gliński J, Stępniewski W (1985) ‘Soil aeration and its role for plants.’ (CRC Press: Boca Raton, FL)

Grable AR, Siemer EG (1968) Effects of bulk density, aggregate size, and soil water suction on oxygen diffusion redox potential and elongation of corn roots. Soil Science Society of America Journal 32, 180–186.
Effects of bulk density, aggregate size, and soil water suction on oxygen diffusion redox potential and elongation of corn roots.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaF1cXktFygs70%3D&md5=fbec26eadc3da34f2f9f1cf1b8de74aeCAS |

Grant RF (1999) Simulation of methanotrophy in the mathematical model ecosys. Soil Biology & Biochemistry 31, 287–297.
Simulation of methanotrophy in the mathematical model ecosys.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK1MXhslyjtbs%3D&md5=adb3c7e19e0d464611009dd1ebb34082CAS |

Jones PA, Brosnan JT, Kopsell DA, Breeden GK (2013) Soil type and rooting depth affect hybrid Bermudagrass injury with preemergence herbicides. Crop Science 53, 660–665.
Soil type and rooting depth affect hybrid Bermudagrass injury with preemergence herbicides.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3sXhtVyqsr3J&md5=a0ff254b57b17ddcb53528ce0497090bCAS |

Kaiser EA, Mueller T, Joergensen RG, Insam H, Heinemeyer O (1992) Evaluation of methods to estimate the soil microbial biomass and the relationship with soil texture and organic matter. Soil Biology & Biochemistry 24, 675–683.

Khalil K, Mary B, Renault P (2004) Nitrous oxide production by nitrification and denitrification in soil aggregates as affected by O2 concentration. Soil Biology & Biochemistry 36, 687–699.
Nitrous oxide production by nitrification and denitrification in soil aggregates as affected by O2 concentration.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2cXisFOntrc%3D&md5=2cc664309d72162a1b2a791a07457b42CAS |

Kroeckel L, Stolp H (1985) Influence of oxygen on denitrification and aerobic respiration in soil. Biology and Fertility of Soils 1, 189–193.
Influence of oxygen on denitrification and aerobic respiration in soil.Crossref | GoogleScholarGoogle Scholar |

Laudone GM, Mathews GP, Bird NRA, Whalley WR, Cardenas LM, Gregory AS (2011) A model to predict the effects of soil structure on denitrification and N2O emission. Journal of Hydrology 409, 283–290.
A model to predict the effects of soil structure on denitrification and N2O emission.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3MXhtlaqu7nN&md5=5a75c62b6243b093b7c3b0f0af44d2faCAS |

Letey J (1985) Relationship between soil physical properties and crop production. Advances in Soil Science 1, 277–294.
Relationship between soil physical properties and crop production.Crossref | GoogleScholarGoogle Scholar |

Letey J, Stolzy LH (1967) Limiting distances between root and gas phase for adequate oxygen supply. Soil Science 103, 404–409.
Limiting distances between root and gas phase for adequate oxygen supply.Crossref | GoogleScholarGoogle Scholar |

Linn DM, Doran JW (1984) Effect of water-filled pore space on carbon dioxide and nitrous oxide production in tilled and nontilled soils. Soil Science Society of America Journal 48, 1267–1272.
Effect of water-filled pore space on carbon dioxide and nitrous oxide production in tilled and nontilled soils.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaL2MXhtFaitL4%3D&md5=57c8b2fc008f286a5143a2e8e27ceddeCAS |

Lloyd J, Taylor JA (1994) On the temperature dependence of soil respiration. Functional Ecology 8, 315–323.
On the temperature dependence of soil respiration.Crossref | GoogleScholarGoogle Scholar |

Marschner H (1995) ‘Mineral nutrition of higher plants.’ 2nd edn (Academic Press: London)

MathWorks Inc (2012) ‘Matlab R2012b.’ (The MathWorks Inc.: Natick, MA) Available at: www.mathworks.com.au/index.html

McTaggart IP, Akiyama H, Tsuruta H, Ball BC (2002) Influence of soil physical properties, fertiliser type and moisture tension on N2O and NO emissions from nearly saturated Japanese upland soils. Nutrient Cycling in Agroecosystems 63, 207–217.
Influence of soil physical properties, fertiliser type and moisture tension on N2O and NO emissions from nearly saturated Japanese upland soils.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD38XovVCmurw%3D&md5=c6266cfdc9816484df67be75a97454a5CAS |

Millington RJ (1959) Gas diffusion in porous media. Science 130, 100–102.
Gas diffusion in porous media.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaG1MXhtFOisr0%3D&md5=1d899311397b4494961066e4eb49b012CAS | 17738602PubMed |

Millington RJ, Quirk JP (1961) Permeability of porous solids. Transactions of the Faraday Society 57, 1200–1207.
Permeability of porous solids.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaF38Xkt1Cisg%3D%3D&md5=48c62e11f7ac5d215aee534b66d0e2dcCAS |

Moldrup P, Olesen T, Schjønning P, Yamaguchi T, Rolston DE (2000) Predicting gas diffusion coefficient in unsaturated soil from soil water characteristics. Soil Science Society of America Journal 64, 94–100.
Predicting gas diffusion coefficient in unsaturated soil from soil water characteristics.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3cXmslyhsbk%3D&md5=37259465b11c5a774e565fd8b3b7bb54CAS |

Mosier AR (1998) Soil processes and global change. Biology and Fertility of Soils 27, 221–229.
Soil processes and global change.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK1cXks12hsrk%3D&md5=28377eb1abd2dffd954f1510686e0002CAS |

Müller C (1996) ‘Nitrous oxide emission from intensive grassland in Canterbury, New Zealand.’ (Tectum Verlag: Marburg, Germany)

Olesen T, Moldrup P, Yamaguchi T, Rolston DE (2001) Constant slope impedance factor model for predicting the solute diffusion in unsaturated soil. Soil Science 166, 89–96.
Constant slope impedance factor model for predicting the solute diffusion in unsaturated soil.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3MXhsFSktbo%3D&md5=75ec6f5830fe75b35a6cf80549b84f60CAS |

Orchard VA, Cook FJ (1983) Relationship between soil respiration and soil moisture. Soil Biology & Biochemistry 15, 447–453.
Relationship between soil respiration and soil moisture.Crossref | GoogleScholarGoogle Scholar |

Patrick WH, Reddy CN (1978) Chemical changes in rice soils. In ‘Soils and rice’. pp. 361–379. (IRRI: Los Baños, Phillipines)

Pollok JA (1975) A comparative study of certain New Zealand and German soils formed from loess. PhD Thesis, Friedrich-Wilhelms-Universität, Bonn, Germany.

Ravishankara AR, Daniel JS, Portmann RW (2009) Nitrous oxide (N2O): The dominant ozone-depleting substance emitted in the 21st Century. Science 326, 123–125.
Nitrous oxide (N2O): The dominant ozone-depleting substance emitted in the 21st Century.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1MXhtF2hs7jF&md5=e297d0b3813558fe6829d765b41e5e80CAS | 19713491PubMed |

Rawls WJ, Brakensiek DL, Saxton KE (1982) Estimation of soil water properties. Transactions of the American Society of Agricultural Engineers 25, 1316–1320, 1328.

Shein EV, Pachepsky YA (1995) Influence of root density on the critical soil-water potential. Plant and Soil 171, 351–357.
Influence of root density on the critical soil-water potential.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK2MXmsVamtb4%3D&md5=be0715eceb73a4d9fb0cd6cdb6e75d96CAS |

Silver WL, Neff J, McGroddy M, Veldkamp E, Keller M, Cosme R (2000) Effects of soil texture on belowground carbon and nutrient storage in a lowland Amazonian forest ecosystem. Ecosystems 3, 193–209.
Effects of soil texture on belowground carbon and nutrient storage in a lowland Amazonian forest ecosystem.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3cXktFGht78%3D&md5=4bafbc4b998b6cc2437336626171e4cdCAS |

Silver WL, Thompson AW, McGroddy ME, Varner RK, Dias JD, Silva H, Crill PM, Keller M (2005) Fine root dynamics and trace gas fluxes in two lowland tropical forest soils. Global Change Biology 11, 290–306.
Fine root dynamics and trace gas fluxes in two lowland tropical forest soils.Crossref | GoogleScholarGoogle Scholar |

Smith KA (1980) A model of the extent of anaerobic zones in aggregated soils, and its potential application to estimates of denitrification. Journal of Soil Science 31, 263–277.
A model of the extent of anaerobic zones in aggregated soils, and its potential application to estimates of denitrification.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaL3cXkvFCjtr8%3D&md5=051b427c4f09f61563e328dfc7c2de75CAS |

Smith KA, Ball T, Conen F, Dobbie KE, Massheder J, Rey A (2003) Exchange of greenhouse gases between soil and atmosphere: interactions of soil physical factors and biological processes. European Journal of Soil Science 54, 779–791.
Exchange of greenhouse gases between soil and atmosphere: interactions of soil physical factors and biological processes.Crossref | GoogleScholarGoogle Scholar |

Thomas S, Waterland H, Dann R, Close M, Francis G, Cook F (2012) Nitrous oxide dynamics in a deep soil-alluvial gravel vadose zone following nitrate leaching. Soil Science Society of America Journal 76, 1333–1346.
Nitrous oxide dynamics in a deep soil-alluvial gravel vadose zone following nitrate leaching.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC38XhtFarsbvK&md5=5c7128cc920945f5fe618d40bb2635cdCAS |

Topp GC, Reynolds WD, Cook FJ, Kirby JM, Carter MR (1997) Physical attributes of soil quality. In ‘Soil quality for crop production.’ Developments in Soil Science 25. (Eds EG Gregorich, MR Carter) pp. 21–58. (Elsevier: Amsterdam)

Uchida Y, Clough TJ, Kelliher FM, Hunt JE, Sherlock RR (2011) Effects of bovine urine, plants and temperature on N2O and CO2 emissions from a sub-tropical soil. Plant and Soil 345, 171–186.
Effects of bovine urine, plants and temperature on N2O and CO2 emissions from a sub-tropical soil.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3MXptFymt7k%3D&md5=74c0c1fc752582a702507bb920ce5b77CAS |

van der Weeden TJ, Kelliher FM, de Klein CAM (2012) Influence of pore size distribution and soil water content on nitrous oxide emissions. Soil Research 50, 125–135.

Veraart AJ, de Klein JJM, Scheffer M (2011) Warming can boost denitrification disproportionately due to altered oxygen dynamics. PLoS ONE 6, e18508
Warming can boost denitrification disproportionately due to altered oxygen dynamics.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3MXkvVeluro%3D&md5=4cf9a00a1c4d2e21c80ee055c1269354CAS | 21483809PubMed |

Wesseling J, van Wijk WR (1957) Land drainage in relation to soils and crops. I. Soil physical conditions in relation to drain depth. In ‘Driange of agricultural lands’. Agronomy Monograph 7. (Ed. JN Luthin) pp. 461–504. (American Society of Agronomy: Madison, WI)