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Comparison of Langmuir and Freundlich adsorption equations within the SWAT-K model for assessing potassium environmental losses at basin scale

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  • Wang, Chunying
  • Boithias, Laurie
  • Ning, Zigong
  • Han, Yuping
  • Sauvage, Sabine
  • Sánchez-Pérez, José-Miguel
  • Kuramochi, Kanta
  • Hatano, Ryusuke

Abstract

Potassium (K) is an important nutrient for agricultural crop growth. Adsorption of K in soil involves fertilizer optima for enhancing crop productivity and efficient nutrient management. Adsorption is often necessary to predict K transport and losses, such as solid/liquid distribution in soil, plant uptake, and transportation with water and suspended sediments. Based on the Soil and Water Assessment Tool (SWAT), the SWAT-K model has been developed to quantify daily K losses and budget at watershed scale. In this study, Langmuir and Freundlich adsorption equations were both applied and compared in the SWAT-K model to predict K adsorption in the soil and K losses in the volcanic Shibetsu River Watershed (672km2, Hokkaido, Japan). Both the Langmuir and Freundlich adsorption equations well fitted the solid/liquid distribution of K in soil. The Freundlich and Langmuir equations showed similar performances to fit the measured data of K sorbed to soil (R2=0.91 for both cases) and Freundlich equation showed slightly better performances of dissolved K load in stream than Langmuir equation (Nash-Sutcliffe efficiency coefficient (ENS)=0.66 and 0.60, respectively). Overall, Langmuir and Freundlich equations predicted similar K budgets, including soil K surplus with a difference of 1.2%. The uncertainty related to the choice of the adsorption equation is negligible. Hence, both Langmuir and Freundlich adsorption equations are recommended to predict the K adsorption in soil and in-stream K load when using the SWAT-K model in watershed similar to the study case. Their applicability deserve to be tested in other agricultural watersheds characterized by different soils.

Suggested Citation

  • Wang, Chunying & Boithias, Laurie & Ning, Zigong & Han, Yuping & Sauvage, Sabine & Sánchez-Pérez, José-Miguel & Kuramochi, Kanta & Hatano, Ryusuke, 2017. "Comparison of Langmuir and Freundlich adsorption equations within the SWAT-K model for assessing potassium environmental losses at basin scale," Agricultural Water Management, Elsevier, vol. 180(PB), pages 205-211.
    • Handle: RePEc:eee:agiwat:v:180:y:2017:i:pb:p:205-211
    DOI: 10.1016/j.agwat.2016.08.001
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    References listed on IDEAS

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    1. Kolahchi, Z. & Jalali, M., 2006. "Simulating leaching of potassium in a sandy soil using simple and complex models," Agricultural Water Management, Elsevier, vol. 85(1-2), pages 85-94, September.
    2. Bond, Trevor & Sear, David & Sykes, Tim, 2014. "Estimating the contribution of in-stream cattle faeces deposits to nutrient loading in an English Chalk stream," Agricultural Water Management, Elsevier, vol. 131(C), pages 156-162.
    3. Wang, Chunying & Jiang, Rui & Boithias, Laurie & Sauvage, Sabine & Sánchez-Pérez, José-Miguel & Mao, Xiaomin & Han, Yuping & Hayakawa, Atsushi & Kuramochi, Kanta & Hatano, Ryusuke, 2016. "Assessing potassium environmental losses from a dairy farming watershed with the modified SWAT model," Agricultural Water Management, Elsevier, vol. 175(C), pages 91-104.
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