Technical Notes
Feb 9, 2013

Sensitivity Analysis of Nonlinear Model Parameters in a Multilayer Root Zone

Publication: Journal of Hydrologic Engineering
Volume 19, Issue 2

Abstract

A numerical model is developed for simulating soil moisture movement for a multilayer crop root zone in subtemperate-subhumid agro-climates. Water dynamics is used for a nonuniform root distribution pattern to compute the root extraction rate by plants in a moisture-scarce environment. The root uptake function is incorporated in governing the soil-moisture equation. Sensitivity analysis (SA) has been carried out to evaluate the relative importance of model input parameters in predictions of moisture uptake by plants. The paper describes the results of sensitivity analysis of model parameters for a maize crop and their spatial dimension. An iterative procedure has been used for the sensitivity analysis. The model was run for a range of values (±10% and ±5% from base value) of different model parameters to obtain plant moisture uptake. Results indicate the model is least sensitive to saturated moisture content (θs), coefficient (n), field capacity (FC), and permanent wilting point (PWP). The model is sensitive to residual moisture content (θr), root uptake model parameters (α) and (β), and saturated hydraulic conductivity (Ks) since variation in these parameters has significant impact on model output.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors are highly thankful to the Department of Civil Engineering, NIT, Hamirpur and Department of Soil Science and Water Management, Dr. Y.S Parmar University of Horticulture and Forestry, Nauni, Solan for providing all facilities while conducting this study.

References

Abbasi, F. (2007). Advanced soil physics, 2nd Ed., Univ. of Tehran Publication, 250 (in Persian).
Afshar, A., and Marino, M. A. (1978). “Model for simulating soil water content considering evaporation.” J. Hydrol., 37, 309–322.
Allen, S. J. (1990). “Measurement and estimation of evaporation from soil under sparse barley crops in Northern Syria.” J. Agric. Meterol., 49(4), 291–309.
Boehm, W. (1979). “Methods of studying root systems.” Ecological studies series, W. D. Billings, F. Goiley, G. L. Lange, J. S. Olson, and O. Ridge, eds., Vol. 33, Springer, New York, 188.
Brown, K. W., and Covey, W. (1966). “The energy-budget evaluation of the micrometeorological transfer processes within a corn field.” Agric. Meteorol., 3, 73–96.
Cai, X., and Rosegrant, M. W. (2003). “World water productivity: Current situation and future options.” Water productivity in agriculture: Limits and opportunities for improvement, J. W. Kijne, R. Barker, and D. Molden, eds., CABI Publishing, in association with IWMI, Colombo, Sri Lanka, U.K., 163–178.
Campbell, G. S., and Norman, J. M. (1998). An introduction to environmental biophysics, 2nd Ed., Springer-Verlag, New York.
Cao, Y., and Petzold, L. (2006). “Accuracy limitations and the measurement of errors in the stochastic simulation of chemically reacting systems.” J. Comput. Phys., 212, 6–24.
Carsel, R. F., and Parrish, R. S. (1988). “Developing joint probability distributions of soil water retention characteristics.” Water Resour. Res., 24, 755–759.
Celia, M. A., Bouloutas, E. T., and Zarba, R. L. (1990). “A general mass conservative numerical solution for the unsaturated flow equation.” Water Resour. Res., 26, 1483–1496.
Doorenbos, J., and Pruitt, W. O. (1977). “Guidelines for predicting crop water requirements.”, FAO, Rome, Italy.
Feddes, R. A., Kotwalik, P. J., and Zaradny, H. (1978). Simulation of field water use and crop yield, Centre for Agricultural Publishing and Documentation, Wageningen, The Netherlands.
Gardner, W. R. (1960). “Dynamic aspects of water availability to plants.” J. Soil Sci., 89, 63–73.
Hainsworth, J. M., and Aylmore, L. A. G. (1986). “Water extraction by single plant roots.” Soil Sci. Soc. Am. J., 50, 841–848.
Hess, T. M. (1996). “Evapotranspiration estimates for water balance scheduling in the UK.” Irrigation News, 25, 31–36.
Hillel, D., van Beek, C. G. E. M., and Talpaz, H. (1975). “A microscopic scale model of soil water uptake and salt movement to plant roots.” J. Soil Sci., 120, 385–399.
Kang, S., Zhang, F., and Zhang, J. (2001). “A simulation model of water dynamics in winter wheat field and its application in a semiarid region.” Agric. Water Manage., 49, 115–129.
Kumar, R. N. (2007). “Groundwater information booklet-Solan (HP).” Central Ground Water Board (CGWB), Ministry of Water Resources (MoWR), Government of India (GOI), New Delhi.
Li, K. Y., Boisvert, J. B., and Jong, R. D. (1999). “An exponential root water uptake model.” Can. J. Soil Sci., 79, 333–343.
Marino, M. A., and Tracy, J. C. (1988). “Flow of water through root-soil environment.” J. Irrig. Drain. Eng., 558–604.
Molz, F. J. (1981). “Models of water transport in soil plant system: A review.” Water Resour. Res., 17, 1245–1260.
Molz, F. J., and Remson, I. (1970). “Extraction term models of soil moisture use by transpiring plants.” Water Resour. Res., 6(5), 1346–1356.
Molz, F. J., Remson, I., Fungaroli, A. A., and Drake, R. L. (1968). “Soil moisture availability for transpiration.” Water Resour. Res., 4, 1161–1169.
Nandagiri, L., and Prasad, R. (1997). “Relative performance of textural models in estimating Soil Moisture Characteristic.” J. Irrig. Drain., 211–214.
Nimah, M. N., and Hanks, R. J. (1973). “Model for estimating soil water, plant and atmospheric interrelations. 1: Description and sensitivity.” Soil Sci. Soc. Am. Proc., 37, 522–527.
Ojha, C. S. P., Hari Prasad, K. S., Shankar, V., Madramootoo, C. A. (2009). “Evaluation of a nonlinear root-water uptake model.” J. Irrig. Drain. Eng., 303–312.
Ojha, C. S. P., and Rai, A. K. (1996). “Nonlinear root water uptake model.” J. Irrig. Drain. Eng., 198–202.
Prasad, R. (1984). “Influence of time step in the simulation modelling of evapotranspiration.” Sadhana: Proc. Indian Acad. Sci., 7(2), 91–118.
Prasad, R. (1988). “A linear root water uptake model.” J. Hydrol., 99, 297–306.
Quijano, J. C., Kumar, P., Drewry, D. T., Goldstein, A., and Misson, L. (2012). “Competitive and mutualistic dependencies in multispecies vegetation dynamics enabled by hydraulic redistribution.” Water Resour. Res., 48, W05518,.
Remson, I., Hornberger, G. M., and Molz, F. J. (1971). Numerical methods in subsurface hydrology, Wiley, New York, 165–182.
Richards, L. A. (1931). “Capillary conduction of liquids through porous medium.” Physics (N.Y.), 1(5), 318–333.
Shankar, V., Hari Prasad, K. S., Ojha, C. S. P., and Rao, S. Govindaraju (2012). “A model for nonlinear root water uptake parameter.” J. Irrig. Drain. Eng., 905–917.
Trout, T. J., Garcia-Castillas, I. G., and Hart, W. E. (1982). Soil water engineering: Field and laboratory manual, Academic Publishers, Jaipur, India.
Van Genuchten, M. T. (1980). “A closed form equation for predicting the hydraulic conductivity of unsaturated soil.” Soil Sci. Soc. Am. J., 44, 892–898.
Vedula, S., and Nagesh Kumar, D. (1996). “An integrated model for optimal reservoir operation for irrigation of multiple crops.” Water Resour. Res., 32(4), 1101–1108.
Vrugt, J. A., Hopmans, J. W., and Simunek, J. (2001). “Calibration of a two dimensional root water uptake model.” Soil Sci. Soc. Am. J., 65, 1027–1037.
Wang, E., and Smith, C. J. (2004). “Modeling the growth and water uptake function of plant root systems: A review.” J. Agric. Res., 55, 501–523.
Wu, J., Zhang, R., and Gui, S. (1999). “Modeling soil water movement with water uptake by roots.” J. Plant Soil, 215(1), 7–17.
Yadav, B. K., and Mathur, S. (2008). “Modeling soil water extraction by plants using nonlinear dynamic root density distribution function.” J. Irrig. Drain. Eng., 430–436.
Yadav, B. K., Mathur, S., and Siebel, M. A. (2009a). “Soil moisture dynamics modeling considering the root compensation mechanism for water uptake by plants.” J. Hydrol. Engg., 913–922.
Yadav, B. K., Mathur, S., and Siebel, M. A. (2009b). “Soil moisture flow modeling with water uptake by plants (wheat) under varying soil and moisture conditions.” J. Irrig. Drain. Eng., 375–381.
Zhang, Y., Yu, Q., Liu, C., Jiang, J., and Zhang, X. (2004). “Estimation of winter wheat evapotranspiration under water stress with two semi-empirical approaches.” Agronomy J., 96, 159–168.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 19Issue 2February 2014
Pages: 462 - 471

History

Received: Jun 21, 2012
Accepted: Feb 6, 2013
Published online: Feb 9, 2013
Discussion open until: Jul 9, 2013
Published in print: Feb 1, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

Research Scholar, Dept. of Civil Engineering, National Institute of Technology, Hamirpur, HP 177005, India (corresponding author). E-mail: [email protected]
V. Shankar
Associate Professor, Dept. of Civil Engineering, National Institute of Technology, Hamirpur, HP 177005, India.
M. K Jat
Associate Professor, Dept. of Civil Engineering, Malaviya National Institute of Technology, Jaipur, Rajasthan 302017, India.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share