IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v222y2011i20p3727-3733.html
   My bibliography  Save this article

A mathematical model of algal blooms based on the characteristics of complex networks theory

Author

Listed:
  • Yao, Jianyu
  • Xiao, Peng
  • Zhang, Yunhuai
  • Zhan, Min
  • Cheng, Jiangwei

Abstract

To predict the outbreak time of algal blooms and its duration in an actual body of water, this paper developed a directed complex networks (CNs) model of algal blooms. This new model was based on the characteristics of CNs theory and the primary factors that influenced algal blooms. By calculating the shortest path and proposing a key degree node model, the role of each influencing factor during algal blooms was evaluated. Based on years of on-site monitoring data (collected from 1992 to 2000) concerning the Han River, a statistical characteristic function G that reflected the relationship between the statistical characteristics of dominant algae blooming and the degree of algal blooms pollution was proposed. The results indicate that the proposed function G is capable of effectively and semi-quantitatively characterizing the outbreak time and the duration of algal blooms. If the value of G in a body of water is less than 32.6, the body of water will outbreak an algal bloom. An increasingly smaller of G value indicates a greater degree of algal blooms pollution and longer bloom duration.

Suggested Citation

  • Yao, Jianyu & Xiao, Peng & Zhang, Yunhuai & Zhan, Min & Cheng, Jiangwei, 2011. "A mathematical model of algal blooms based on the characteristics of complex networks theory," Ecological Modelling, Elsevier, vol. 222(20), pages 3727-3733.
    • Handle: RePEc:eee:ecomod:v:222:y:2011:i:20:p:3727-3733
    DOI: 10.1016/j.ecolmodel.2011.09.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380011004650
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2011.09.006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Long, Tian-yu & Wu, Lei & Meng, Guo-hu & Guo, Wei-hua, 2011. "Numerical simulation for impacts of hydrodynamic conditions on algae growth in Chongqing Section of Jialing River, China," Ecological Modelling, Elsevier, vol. 222(1), pages 112-119.
    2. Stefano Mizzaro, 1997. "Relevance: The whole history," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 48(9), pages 810-832, September.
    3. Salacinska, K. & El Serafy, G.Y. & Los, F.J. & Blauw, A., 2010. "Sensitivity analysis of the two dimensional application of the Generic Ecological Model (GEM) to algal bloom prediction in the North Sea," Ecological Modelling, Elsevier, vol. 221(2), pages 178-190.
    4. Galvão, Viviane & Miranda, José G.V., 2008. "A computational model for cancer growth by using complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5279-5286.
    5. Elgazzar, A.S., 2003. "Applications of small-world networks to some socio-economic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 402-407.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhao, Xiaodong & Zhang, Hongjian & Tao, Xiaolei, 2013. "Predicting the short-time-scale variability of chlorophyll a in the Elbe River using a Lagrangian-based multi-criterion analog model," Ecological Modelling, Elsevier, vol. 250(C), pages 279-286.
    2. Xu, Aokang & Hu, Mengjun & Shi, Jing & Bai, Qingzhu & Li, Xuehong, 2024. "Construction and optimization of ecological network in inland river basin based on circuit theory, complex network and ecological sensitivity: A case study of Gansu section of Heihe River Basin," Ecological Modelling, Elsevier, vol. 488(C).
    3. Du, Xiangjun & Shao, Fengjing & Wu, Shunyao & Sun, Rencheng & Wang, Changying, 2017. "Complex network modeling for mechanisms of red tide occurrence: A case study in Bohai Sea and North Yellow Sea of China," Ecological Modelling, Elsevier, vol. 361(C), pages 41-48.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wayne de Fremery & Michael K. Buckland, 2022. "Context, relevance, and labor," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 73(9), pages 1268-1278, September.
    2. Ian Ruthven, 2021. "Resonance and the experience of relevance," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 72(5), pages 554-569, May.
    3. Yi Tan & Jia Li & Linglei Zhang & Min Chen & Yaowen Zhang & Ruidong An, 2019. "Mechanism Underlying Flow Velocity and Its Corresponding Influence on the Growth of Euglena gracilis , a Dominant Bloom Species in Reservoirs," IJERPH, MDPI, vol. 16(23), pages 1-15, November.
    4. Xiangyun Gao & Haizhong An & Weiqiong Zhong, 2013. "Features of the Correlation Structure of Price Indices," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-9, April.
    5. Tianfu He & Yun Deng & Youcai Tuo & Yanjing Yang & Naisheng Liang, 2020. "Impact of the Dam Construction on the Downstream Thermal Conditions of the Yangtze River," IJERPH, MDPI, vol. 17(8), pages 1-14, April.
    6. Zhiyong Liu & Chenfeng Liu & Yuyong Hou & Shulin Chen & Dongguang Xiao & Juankun Zhang & Fangjian Chen, 2013. "Isolation and Characterization of a Marine Microalga for Biofuel Production with Astaxanthin as a Co-Product," Energies, MDPI, vol. 6(6), pages 1-14, May.
    7. Guzmán-Vargas, L. & Hernández-Pérez, R., 2006. "Small-world topology and memory effects on decision time in opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(2), pages 326-332.
    8. Islam, Md. Nazrul & Kitazawa, Daisuke & Kokuryo, Naoki & Tabeta, Shigeru & Honma, Takamitsu & Komatsu, Nobuyuki, 2012. "Numerical modeling on transition of dominant algae in Lake Kitaura, Japan," Ecological Modelling, Elsevier, vol. 242(C), pages 146-163.
    9. Yi, Xuan & Zou, Rui & Guo, Huaicheng, 2016. "Global sensitivity analysis of a three-dimensional nutrients-algae dynamic model for a large shallow lake," Ecological Modelling, Elsevier, vol. 327(C), pages 74-84.
    10. Zhao, Xiaodong & Zhang, Hongjian & Tao, Xiaolei, 2013. "Predicting the short-time-scale variability of chlorophyll a in the Elbe River using a Lagrangian-based multi-criterion analog model," Ecological Modelling, Elsevier, vol. 250(C), pages 279-286.
    11. Lauri Rapeli & Sakari Nieminen & Marko Mäkelä, 2021. "Not just the facts: an index for measuring the information density of political communication," Quality & Quantity: International Journal of Methodology, Springer, vol. 55(5), pages 1683-1702, October.
    12. Tong, Tong & Wang, Wanru & Ye, Fred Y., 2024. "A complement to the novel disruption indicator based on knowledge entities," Journal of Informetrics, Elsevier, vol. 18(2).
    13. Aurora González-Teruel & Gregorio González-Alcaide & Maite Barrios & María-Francisca Abad-García, 2015. "Mapping recent information behavior research: an analysis of co-authorship and co-citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 103(2), pages 687-705, May.
    14. Wu, Guozheng & Xu, Zongxue, 2011. "Prediction of algal blooming using EFDC model: Case study in the Daoxiang Lake," Ecological Modelling, Elsevier, vol. 222(6), pages 1245-1252.
    15. Yan Wan & Baojun Ma & Yu Pan, 2018. "Opinion evolution of online consumer reviews in the e-commerce environment," Electronic Commerce Research, Springer, vol. 18(2), pages 291-311, June.
    16. Alexandra Dumitrescu & Simone Santini, 2021. "Full coverage of a reader's interests in context‐based information filtering," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 72(8), pages 1011-1027, August.
    17. Sznajd-Weron, Katarzyna & Sznajd, Józef & Weron, Tomasz, 2021. "A review on the Sznajd model — 20 years after," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    18. Timo Breuer & Philipp Schaer & Dirk Tunger, 2022. "Relevance assessments, bibliometrics, and altmetrics: a quantitative study on PubMed and arXiv," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(5), pages 2455-2478, May.
    19. Morris, David J. & Speirs, Douglas C. & Cameron, Angus I. & Heath, Michael R., 2014. "Global sensitivity analysis of an end-to-end marine ecosystem model of the North Sea: Factors affecting the biomass of fish and benthos," Ecological Modelling, Elsevier, vol. 273(C), pages 251-263.
    20. Jean J. Wang & Sarah X. Shao & Fred Y. Ye, 2021. "Identifying 'seed' papers in sciences," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 6001-6011, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecomod:v:222:y:2011:i:20:p:3727-3733. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.