Critical soil conditions for oxygen stress to plant roots: Substituting the Feddes-function by a process-based model

Effects of insufficient soil aeration on the functioning of plants form an important field of research. A well-known and frequently used utility to express oxygen stress experienced by plants is the Feddes-function. This function reduces root water uptake linearly between two constant pressure heads, representing threshold values for minimum and maximum oxygen deficiency. However, the correctness of this expression has never been evaluated and constant critical values for oxygen stress are likely to be inappropriate. In this paper, we propose a fundamentally different approach to assess oxygen stress: we built a plant physiological and soil physical process-based model to calculate the minimum gas filled porosity of the soil at which oxygen stress occurs. Effects of insufficient soil aeration on the functioning of plants form an important field of research. A well-known and frequently used utility to express oxygen stress experienced by plants is the Feddes-function. This function reduces root water uptake linearly between two constant pressure heads, representing threshold values for minimum and maximum oxygen deficiency. However, the correctness of this expression has never been evaluated and constant critical values for oxygen stress are likely to be inappropriate. On theoretical grounds it is expected that oxygen stress depends on various abiotic and biotic factors. In this paper, we propose a fundamentally different approach to assess oxygen stress: we built a plant physiological and soil physical process-based model to calculate the minimum gas filled porosity of the soil (phi gas_min) at which oxygen stress occurs. First, we calculated the minimum oxygen concentration in the gas phase of the soil needed to sustain the roots through (micro-scale) diffusion with just enough oxygen to respire. Subsequently, phi gas_min that corresponds to this minimum oxygen concentration was calculated from diffusion from the atmosphere through the soil (macro-scale). We analyzed the validity of constant critical values to represent oxygen stress in terms Of phi gas_min, based on model simulations in which we distinguished different soil types and in which we varied temperature, organic matter content, soil depth and plant characteristics. Furthermore, in order to compare our model results with the Feddes-function, we linked root oxygen stress to root water uptake (through the sink term variable F, which is the ratio of actual and potential uptake). The simulations showed that phi gas-min is especially sensitive to soil temperature, plant characteristics (root dry weight and maintenance respiration coefficient) and soil depth but hardly to soil organic matter content. Moreover, phi gas-min varied considerably between soil types and was larger in sandy soils than in clayey soils. We demonstrated that F of the Feddes-function indeed decreases approximately linearly, but that actual oxygen stress already starts at drier conditions than according to the Feddes-function. How much drier is depended on the factors indicated above. Thus, the Feddes-function might cause large errors in the prediction of transpiration reduction and growth reduction through oxygen stress. We made our method easily accessible to others by implementing it in SWAP, a user-friendly soil water model that is coupled to plant growth. Since constant values for phi gas_min in plant and hydrological modeling appeared to be inappropriate, an integrated approach, including both physiological and physical processes, should be used instead. Therefore, we advocate using our method in all situations where oxygen stress could occur. (C) 2008 Elsevier B.V. All rights reserved.

[1]  J. J. Morgan,et al.  Aquatic Chemistry: Chemical Equilibria and Rates in Natural Waters , 1970 .

[2]  G. Hornberger,et al.  A Statistical Exploration of the Relationships of Soil Moisture Characteristics to the Physical Properties of Soils , 1984 .

[3]  M. van den Berg,et al.  Water uptake in crop growth models for land use systems analysis. I. A review of approaches and their pedigrees , 2002 .

[4]  M. Noordwijk,et al.  Mathematical models on diffusion of oxygen to and within plant roots, with special emphasis on effects of soil-root contact , 1984, Plant and Soil.

[5]  D. Burdick,et al.  Waterlogging responses in dune, swale and marsh populations of Spartina patens under field conditions , 1987, Oecologia.

[6]  W. E. Larson,et al.  Productivity of soils: Assessing long-term changes due to erosion , 1983 .

[7]  Noah Fierer,et al.  Predicting the temperature dependence of microbial respiration in soil: A continental‐scale analysis , 2006 .

[8]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[9]  Scott B. Jones,et al.  Design of Porous Media for Optimal Gas and Liquid Fluxes to Plant Roots , 1998 .

[10]  Jan-Philip M. Witte,et al.  The need of data harmonization to derive robust empirical relationships between soil conditions and vegetation , 2008 .

[11]  E. Youngs,et al.  Fundamentals of Soil Physics. , 1982 .

[12]  R. Sands,et al.  Effects of soil air-filled porosity, soil matric potential and soil strength on primary root growth of radiata pine seedlings , 2001, Plant and Soil.

[13]  F. D. Vries,et al.  Rates of Respiration and of Increase in Structural Dry Matter in Young Wheat, Ryegrass and Maize Plants in Relation to Temperature, to Water Stress and to Their Sugar Content , 1979 .

[14]  Gaylon S. Campbell,et al.  Soil physics with BASIC , 1985 .

[15]  Loïc Pagès,et al.  MODELLING OF THE HYDRAULIC ARCHITECTURE OF ROOT SYSTEMS : AN INTEGRATED APPROACH TO WATER ABSORPTION : MODEL DESCRIPTION , 1998 .

[16]  Gaylon S. Campbell,et al.  A SIMPLE METHOD FOR DETERMINING UNSATURATED CONDUCTIVITY FROM MOISTURE RETENTION DATA , 1974 .

[17]  R. B. Jackson,et al.  A global analysis of root distributions for terrestrial biomes , 1996, Oecologia.

[18]  K. Metselaar,et al.  The Shape of the Transpiration Reduction Function under Plant Water Stress , 2007 .

[19]  C. Wiegand,et al.  Soil Aeration and Plant Root Relations II. Root Respiration1 , 1962 .

[20]  P. Kalita Transient finite element method solution of oxygen diffusion in soil , 1999 .

[21]  S. Dasberg,et al.  Characterizing soil aeration under changing soil moisture conditions for bean growth. , 1970 .

[22]  James N. Luthin,et al.  Drainage Of Agricultural Lands , 1957 .

[23]  R. Feddes,et al.  Parameterizing the soil-water-plant root system , 2005 .

[24]  Per Schjønning,et al.  Predicting the Gas Diffusion Coefficient in Undisturbed Soil from Soil Water Characteristics , 2000 .

[25]  Gaylon S. Campbell,et al.  Soil physics with BASIC :transport models for soil-plant systems , 1985 .

[26]  M. Goss,et al.  Water Dynamics in Plant Production , 2003 .

[27]  Ü. Niinemets,et al.  Tolerance to shade, drought, and waterlogging of temperate northern hemisphere trees and shrubs , 2006 .

[28]  J. Amthor The McCree-de Wit-Penning de Vries-Thornley Respiration Paradigms: 30 Years Later , 2000 .

[29]  R. Atlas,et al.  Microbial Ecology: Fundamentals and Applications. , 1982 .

[30]  F. Cook,et al.  Oxygen Transport to Plant Roots : Modeling for Physical Understanding of Soil Aeration , 2002 .

[31]  Thomas Baumgartl,et al.  Soil physical properties related to soil structure , 1994 .

[32]  J. Quirk,et al.  Permeability of porous solids , 1961 .

[33]  D. Gowing,et al.  Soil aeration status in a lowland wet grassland , 2004 .

[34]  J. H. M. Thornley,et al.  Modelling the Components of Plant Respiration: Some Guiding Principles , 2000 .

[35]  A. Simojoki Responses of soil respiration and barley growth to modified supply of oxygen in the soil , 2000 .

[36]  K. Barley The Configuration of the Root System in Relation to Nutrient Uptake , 1970 .

[37]  Reinder A. Feddes,et al.  Unsaturated-zone modeling : progress, challenges and applications , 2004 .

[38]  J. Zwiazek,et al.  Metabolic inhibition of root water flow in red-osier dogwood (Cornus stolonifera) seedlings. , 2001, Journal of experimental botany.

[39]  G. Katul,et al.  Relationship between plant hydraulic and biochemical properties derived from a steady‐state coupled water and carbon transport model , 2003 .

[40]  M. van Noordwijk,et al.  Roots, plant production and nutrient use efficiency , 1987 .

[41]  J. Beek,et al.  Developments in Soil Science , 2019, Global Change and Forest Soils.

[42]  J. Lloyd,et al.  On the temperature dependence of soil respiration , 1994 .

[43]  Vivek K. Arora,et al.  Simulating energy and carbon fluxes over winter wheat using coupled land surface and terrestrial ecosystem models , 2003 .

[44]  F. Cook One-dimensional oxygen diffusion into soil with exponential respiration: analytical and numerical solutions , 1995 .

[45]  W. Armstrong,et al.  ROOT AERATION IN UNSATURATED SOIL: A MULTI‐SHELLED MATHEMATICAL MODEL OF OXYGEN DIFFUSION AND DISTRIBUTION WITH AND WITHOUT SECTORAL WET‐SOIL BLOCKING OF THE DIFFUSION PATH , 1985 .

[46]  F. Cook,et al.  Oxygen Transport to Plant Roots , 2003 .

[47]  F. H. King CONTRIBUTIONS TO OUR KNOWLEDGE OF THE AERATION OF SOILS. , 1905, Science.

[48]  R. Rabbinge,et al.  Water uptake in crop growth models for land use systems analysis: II. Comparison of three simple approaches , 2002 .

[49]  A C Fowler,et al.  A model for water uptake by plant roots. , 2004, Journal of theoretical biology.

[50]  T. P. Leão,et al.  Least limiting water range: A potential indicator of changes in near-surface soil physical quality after the conversion of Brazilian Savanna into pasture , 2006 .

[51]  Fred J. Molz,et al.  Models of water transport in the soil‐plant system: A review , 1981 .

[52]  P. Verburg,et al.  Ground-water level, moisture supply, and vegetation in the Netherlands , 1997, Wetlands.

[53]  T. Langø,et al.  Diffusion coefficients and solubility coefficients for gases in biological fluids and tissues: a review. , 1996, Undersea & hyperbaric medicine : journal of the Undersea and Hyperbaric Medical Society, Inc.

[54]  P J Kramer,et al.  CAUSES OF INJURY TO PLANTS RESULTING FROM FLOODING OF THE SOIL. , 1951, Plant physiology.

[55]  Peter M van Bodegom,et al.  Separating the effects of partial submergence and soil oxygen demand on plant physiology. , 2008, Ecology.

[56]  J. Currie DIFFUSION WITHIN SOIL MICROSTRUCTURE A STRUCTURAL PARAMETER FOR SOILS , 1965 .

[57]  T. Yoneyama,et al.  Combined effects of soil waterlogging and compaction on rice (Oryza sativa L.) growth, soil aeration, soil N transformations and 15N discrimination , 2000, Biology and Fertility of Soils.

[58]  R. Dalal,et al.  APSIM's water and nitrogen modules and simulation of the dynamics of water and nitrogen in fallow systems , 1998 .

[59]  Jerzy Lipiec,et al.  A review of the usefulness of relative bulk density values in studies of soil structure and compaction , 2000 .

[60]  J. Lipiec,et al.  Quantification of compaction effects on soil physical properties and crop growth , 2003 .

[61]  E. R. Page,et al.  Soil physical conditions. , 1980 .

[62]  Jan G. Wesseling Meerjarige simulatie van grondwaterstroming voor verschillende bodemprofielen, grondwatertrappen en gewassen met het model SWATRE , 1991 .