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Establish a Mathematical Model for Key Nutrients in Catfish Ponds

Received: 14 September 2021     Accepted: 13 October 2021     Published: 28 October 2021
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Abstract

Catfish (Pangasius) is a famous and popular food in many countries around the world, and it has contributed greatly to the economy through exports. However, Pangasius farming without planning leads the fish to be more susceptible to disease and causing high pollution to the environment. The objective of this study is to use the mathematic model to identify the development processes of key nutrients in the catfish ponds. The model was used data from Washington lake and calibration and validation by measured data at the Vietnamese pond. The results showed that the actual PO43- was in the range of 0.043 - 3.07 mg/l, PO43- modeling in range of 0.043 to 1.956 mg/L; TP actual: 0.098 – 3.924 mg/L, TP modeling: 0.098 – 2.658 mg/L with an average error of the PO43- and TP at the modeling graphs were 40% and 30.83%. The actual NO3- concentration: 0.018 - 0.8, modeling NO3-: 0.018 - 0.832 mg/L; actual NH4+: 0.146 – 2.83 mg/L, NH4+ modeling: 0.146 – 3.432 mg/L; actual TN: 0.442 - 5.55 mg/L, TN modeling: 0.442 - 5.852 mg/L, the average error of NO3-, NH4+ and TN at the modeling graphs were 40.31%, 27.47% and 17.74%. The MSE and RMSE of of PO43- in actual are 0.159 and 0.399 and in model are 0.000 and 0.016; TP in actual are 0.138 and 0.371 and in model are 0.000 and 0.003; NO3- in actual are 0.043 and 0.206 and in model are 0.000 and 0.000; NH4+ in actual are 1.343 and 1.159 and in model are 0.005 and 0.072; TN in actual are 0.195 and 0.441, in model are 0.001 and 0.031, respectively. The result of modeled data was still in the range of environmental indicators was mentioned in much other research. It helps to control the development of environmental factors in the pond to optimize the fish production as well as reduce the impact to the received areas. The model need to be continuing research to identify the impact of external factors (weather, light, etc.,) and also reduce the errors for better management.

Published in American Journal of Environmental Science and Engineering (Volume 5, Issue 4)
DOI 10.11648/j.ajese.20210504.12
Page(s) 87-94
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Pangasius, Modeling, Phosphorous, Nitrogen

References
[1] Pham Dinh Don - Environmental pollution in aquaculture production and processing in Mekong Delta. Vietnam Environment Administration Magazine No 6. 2014. (in Vietnamese); Online available at: http://tapchimoitruong.vn/pages/article.aspx viewed on date 16th July 2019.
[2] Duong Nhut Long, Nguyen Anh Tuan, Le Son Trang. Intensive culture of Pangasius hypophthalmus in earthen ponds in the Mekong Delta, Viet Nam. Science Journal - Can Tho University (2004) No 2, page 67-75 (in Vietnamese).
[3] Duong Thuy Yen. Survey in some characteristics, formation, growth and physiology of Basa (Pangasius bocourti), Tra (Pangasianodon hypophthalmus) and their hybrid. Master thesis 2003, Can Tho University, Can Tho, Vietnam (in Vietnamese).
[4] Schimittou, H. R. (1993), “High density fish culture in low volume eages”, M. I. T. A. (p) No, 158/12/1992, Vol. AQ41 1993/7, 78 p.
[5] Cao Van Thich. Water quality and nutrient accumulation in the pangasius pond (Pangasianodon hypophthalmus) in O Mon district, Can Tho city. Master thesis in Aquaculture, 2008. Can Tho University. Vietnam (in Vietnamese).
[6] Truong Quoc Phu. “Water quality and sediment in intensive catfish ponds”. Proceeding at workshop: “Environmental protection in aquaculture and seafood processing in the integration period”, Ministry of Agricultural and Rural Development, date 27 –28/12/2007 (in Vietnamese).
[7] Boyd, C. E. (1998), “Pond water aeration systems”, Aquacultural Engineering 18: 9-40.
[8] Boyd, C. E. (1990), “Water Quality for ponds Aquaculture”, Birmingham Publishing Company, Birmingham, Alabama, 269 pp.
[9] Le Bao Ngoc. “Evaluation of environmental quality on intensive catfish farming pond in Tan Loc, Thot Not, Can Tho province”, Master thesis in Environmental Science, 2004. Can Tho University. Vietnam (in Vietnamese).
[10] Li L., Yakupitiyage A. - A Model for food nutrient dynamics of semi-intensive pond fish culture. Journal Aquaculture Engineering (Elsevier) 27 (2003) 9 - 38.
[11] APHA - Standard Methods for the Examination of Water and Wastewater. 19th Edition, American Public Health Association Inc., New York (1995).
[12] George B. Arhonditsis, Michael T. Brett - Eutrophication model for Lake Washington (USA) Part I. Ecological Modelling 187 (2005) 140–178.
[13] Jan H. Janse, T. Aldenberg. Modelling phosphorus fluxes in the hypertrophic Loosdrecht lakes. Hydrobiol. Bull. 24 (1), 69-89 (1990).
[14] Jan H. Janse. Model studies on the eutrophication of shallow lakes and ditches. Thesis Wageningen University ISBN 90-8504-214-3. 2004.
[15] Chau Minh Khoi, Hua Hong Nha, Chau Thi Nhien, 2012. Accumulation of nitrate, inorganic photphate and organic photphate in water and sludge of pan-gasius production culture ponds in the Mekong Delta. Journal of Science of Can Tho University, No. 22a: 17 – 24.
[16] Huynh Truong Giang, Vu Ngoc Ut, and Nguyen Thanh Phuong, 2008. Fluctuation of environmental factors in pangasisus (Pangasianodon hypophthal-mus) production culture pond in An Giang. Journal of Science of Can Tho University, No. 01: 1 – 9.
[17] Hung L. T, Yu, Y., 2000. Using meat bone meal to substitute fish meal in feeding tra catfish (Pangasius hypopothalmus). Journal of Agricultural Sciences and Technology, 4: 65-67, Nong Lam University.
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  • APA Style

    Le Xuan Thinh, Dang Xuan Hien, Tran Van Nhan. (2021). Establish a Mathematical Model for Key Nutrients in Catfish Ponds. American Journal of Environmental Science and Engineering, 5(4), 87-94. https://doi.org/10.11648/j.ajese.20210504.12

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    ACS Style

    Le Xuan Thinh; Dang Xuan Hien; Tran Van Nhan. Establish a Mathematical Model for Key Nutrients in Catfish Ponds. Am. J. Environ. Sci. Eng. 2021, 5(4), 87-94. doi: 10.11648/j.ajese.20210504.12

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    AMA Style

    Le Xuan Thinh, Dang Xuan Hien, Tran Van Nhan. Establish a Mathematical Model for Key Nutrients in Catfish Ponds. Am J Environ Sci Eng. 2021;5(4):87-94. doi: 10.11648/j.ajese.20210504.12

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  • @article{10.11648/j.ajese.20210504.12,
      author = {Le Xuan Thinh and Dang Xuan Hien and Tran Van Nhan},
      title = {Establish a Mathematical Model for Key Nutrients in Catfish Ponds},
      journal = {American Journal of Environmental Science and Engineering},
      volume = {5},
      number = {4},
      pages = {87-94},
      doi = {10.11648/j.ajese.20210504.12},
      url = {https://doi.org/10.11648/j.ajese.20210504.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajese.20210504.12},
      abstract = {Catfish (Pangasius) is a famous and popular food in many countries around the world, and it has contributed greatly to the economy through exports. However, Pangasius farming without planning leads the fish to be more susceptible to disease and causing high pollution to the environment. The objective of this study is to use the mathematic model to identify the development processes of key nutrients in the catfish ponds. The model was used data from Washington lake and calibration and validation by measured data at the Vietnamese pond. The results showed that the actual PO43- was in the range of 0.043 - 3.07 mg/l, PO43- modeling in range of 0.043 to 1.956 mg/L; TP actual: 0.098 – 3.924 mg/L, TP modeling: 0.098 – 2.658 mg/L with an average error of the PO43- and TP at the modeling graphs were 40% and 30.83%. The actual NO3- concentration: 0.018 - 0.8, modeling NO3-: 0.018 - 0.832 mg/L; actual NH4+: 0.146 – 2.83 mg/L, NH4+ modeling: 0.146 – 3.432 mg/L; actual TN: 0.442 - 5.55 mg/L, TN modeling: 0.442 - 5.852 mg/L, the average error of NO3-, NH4+ and TN at the modeling graphs were 40.31%, 27.47% and 17.74%. The MSE and RMSE of of PO43- in actual are 0.159 and 0.399 and in model are 0.000 and 0.016; TP in actual are 0.138 and 0.371 and in model are 0.000 and 0.003; NO3- in actual are 0.043 and 0.206 and in model are 0.000 and 0.000; NH4+ in actual are 1.343 and 1.159 and in model are 0.005 and 0.072; TN in actual are 0.195 and 0.441, in model are 0.001 and 0.031, respectively. The result of modeled data was still in the range of environmental indicators was mentioned in much other research. It helps to control the development of environmental factors in the pond to optimize the fish production as well as reduce the impact to the received areas. The model need to be continuing research to identify the impact of external factors (weather, light, etc.,) and also reduce the errors for better management.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Establish a Mathematical Model for Key Nutrients in Catfish Ponds
    AU  - Le Xuan Thinh
    AU  - Dang Xuan Hien
    AU  - Tran Van Nhan
    Y1  - 2021/10/28
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ajese.20210504.12
    DO  - 10.11648/j.ajese.20210504.12
    T2  - American Journal of Environmental Science and Engineering
    JF  - American Journal of Environmental Science and Engineering
    JO  - American Journal of Environmental Science and Engineering
    SP  - 87
    EP  - 94
    PB  - Science Publishing Group
    SN  - 2578-7993
    UR  - https://doi.org/10.11648/j.ajese.20210504.12
    AB  - Catfish (Pangasius) is a famous and popular food in many countries around the world, and it has contributed greatly to the economy through exports. However, Pangasius farming without planning leads the fish to be more susceptible to disease and causing high pollution to the environment. The objective of this study is to use the mathematic model to identify the development processes of key nutrients in the catfish ponds. The model was used data from Washington lake and calibration and validation by measured data at the Vietnamese pond. The results showed that the actual PO43- was in the range of 0.043 - 3.07 mg/l, PO43- modeling in range of 0.043 to 1.956 mg/L; TP actual: 0.098 – 3.924 mg/L, TP modeling: 0.098 – 2.658 mg/L with an average error of the PO43- and TP at the modeling graphs were 40% and 30.83%. The actual NO3- concentration: 0.018 - 0.8, modeling NO3-: 0.018 - 0.832 mg/L; actual NH4+: 0.146 – 2.83 mg/L, NH4+ modeling: 0.146 – 3.432 mg/L; actual TN: 0.442 - 5.55 mg/L, TN modeling: 0.442 - 5.852 mg/L, the average error of NO3-, NH4+ and TN at the modeling graphs were 40.31%, 27.47% and 17.74%. The MSE and RMSE of of PO43- in actual are 0.159 and 0.399 and in model are 0.000 and 0.016; TP in actual are 0.138 and 0.371 and in model are 0.000 and 0.003; NO3- in actual are 0.043 and 0.206 and in model are 0.000 and 0.000; NH4+ in actual are 1.343 and 1.159 and in model are 0.005 and 0.072; TN in actual are 0.195 and 0.441, in model are 0.001 and 0.031, respectively. The result of modeled data was still in the range of environmental indicators was mentioned in much other research. It helps to control the development of environmental factors in the pond to optimize the fish production as well as reduce the impact to the received areas. The model need to be continuing research to identify the impact of external factors (weather, light, etc.,) and also reduce the errors for better management.
    VL  - 5
    IS  - 4
    ER  - 

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Author Information
  • School of Environmental Science and Technology, Ha Noi University of Science and Technology (HUST), Hanoi, Viet Nam

  • School of Environmental Science and Technology, Ha Noi University of Science and Technology (HUST), Hanoi, Viet Nam

  • School of Environmental Science and Technology, Ha Noi University of Science and Technology (HUST), Hanoi, Viet Nam

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