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The Use of Coherence in Studies of Biota Dynamics in the Conditions of the Aral Crisis

Received: 4 August 2022     Accepted: 23 August 2022     Published: 5 September 2022
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Abstract

The article studies long-term joint dynamics in the conditions of the Southern Aral Sea region of the population size of the most typical for this region system of «fox-rodents-plants». It is shown that the peculiarities of dynamics of natural processes in the conditions of the Aral crisis require the development of special simulation models, taking into account the parameters of management and parameters of the order of destabilized ecosystem. Classic Lotka-Volterra models of «predator-prey», built for a normally and permanently functioning ecosystem, are inadequate for crisis conditions. The coherence of the behaviour of elements of an unbalanced self-organizing system can serve as a measure of verification of the results of the investigation of the behaviour of individual elements of the system. Consistency of population changes in the system of «predator-prey», caused by trophic bonds far from the point of bifurcation, the behavior of the system elements and the level of interelement interactions can be coherent. We propose a method of reconstructing series of observations missing data on multi-year population dynamics of one species, by linking this species to another well-studied species, which is a very effective method of structuring source data in mathematical modeling of natural processes. Response functions, analogy method and consistency of species abundance dynamics are used, which is especially manifested in the positions of synergy in a crisis. Coherence coefficients are introduced for the speed and tempos of change of population numbers, which are calculated as correlation coefficients of the first and second derivatives, respectively, approximating the dynamics of population, because coherence of processes is characterized by consistency in their speed and coincidence of special points.

Published in Ecology and Evolutionary Biology (Volume 7, Issue 3)
DOI 10.11648/j.eeb.20220703.13
Page(s) 54-58
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), 2022. Published by Science Publishing Group

Keywords

Southern Aral Sea, Multi-year Population Dynamics, Predator-Prey Model, Coherence, Approximation, Data Series Recovery, Discrepancy

References
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[5] Cornulier, T., Yoccoz, N. G., Bretagnolle, V., Brommer, J. E., Butet, A., Ecke, F., Elston, D. A., Framstad, E., Henttonen, H., Hörnfeldt, B., Huitu, O., Imholt, C., Ims, R. A., Jacob, J., Jędrzejewska, B., Millon, A., Petty, S. J., Pietiäinen, H., Tkadlec, E. and Zub, K. (2013). Europe-Wide Dampening of Population Cycles in Keystone Herbivores. Science, 340 (6128): 63–66. http://www.jstor.org/stable/41942126
[6] Saitoh, T., Cazelles, B., Vik, J., Viljugrein, H. and Stenseth, N. (2006). Effects of regime shifts on the population dynamics of the grey-sided vole in Hokkaido, Japan. Climate Research, 32: 109–118. DOI: 10.3354/cr032109.
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[11] Henden, J.-A., Ims, R. A., & Yoccoz, N. G. (2009). Nonstationary Spatio-Temporal Small Rodent Dynamics: Evidence from Long-Term Norwegian Fox Bounty Data. Journal of Animal Ecology, 78 (3): 636–645. http://www.jstor.org/stable/27696409
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[13] Tleumuratova B. S., Mambetullaeva S. M., Urazimbetova E. P., Utemuratova G. N., Ollambergenov F. F. (2021). Osobennosti modelirovaniya dinamiki chislennosti populyacij v usloviyah Aral'skogo krizisa [Peculiarities of modeling the dynamics of population in the conditions of the Aral crisis]. Bulletin of the KKB AS RUz., 3: 59-67.
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Cite This Article
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    Elzura Pulatovna Urazimbetova, Bibigul Saribaevna Tleumuratova. (2022). The Use of Coherence in Studies of Biota Dynamics in the Conditions of the Aral Crisis. Ecology and Evolutionary Biology, 7(3), 54-58. https://doi.org/10.11648/j.eeb.20220703.13

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    ACS Style

    Elzura Pulatovna Urazimbetova; Bibigul Saribaevna Tleumuratova. The Use of Coherence in Studies of Biota Dynamics in the Conditions of the Aral Crisis. Ecol. Evol. Biol. 2022, 7(3), 54-58. doi: 10.11648/j.eeb.20220703.13

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    AMA Style

    Elzura Pulatovna Urazimbetova, Bibigul Saribaevna Tleumuratova. The Use of Coherence in Studies of Biota Dynamics in the Conditions of the Aral Crisis. Ecol Evol Biol. 2022;7(3):54-58. doi: 10.11648/j.eeb.20220703.13

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  • @article{10.11648/j.eeb.20220703.13,
      author = {Elzura Pulatovna Urazimbetova and Bibigul Saribaevna Tleumuratova},
      title = {The Use of Coherence in Studies of Biota Dynamics in the Conditions of the Aral Crisis},
      journal = {Ecology and Evolutionary Biology},
      volume = {7},
      number = {3},
      pages = {54-58},
      doi = {10.11648/j.eeb.20220703.13},
      url = {https://doi.org/10.11648/j.eeb.20220703.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eeb.20220703.13},
      abstract = {The article studies long-term joint dynamics in the conditions of the Southern Aral Sea region of the population size of the most typical for this region system of «fox-rodents-plants». It is shown that the peculiarities of dynamics of natural processes in the conditions of the Aral crisis require the development of special simulation models, taking into account the parameters of management and parameters of the order of destabilized ecosystem. Classic Lotka-Volterra models of «predator-prey», built for a normally and permanently functioning ecosystem, are inadequate for crisis conditions. The coherence of the behaviour of elements of an unbalanced self-organizing system can serve as a measure of verification of the results of the investigation of the behaviour of individual elements of the system. Consistency of population changes in the system of «predator-prey», caused by trophic bonds far from the point of bifurcation, the behavior of the system elements and the level of interelement interactions can be coherent. We propose a method of reconstructing series of observations missing data on multi-year population dynamics of one species, by linking this species to another well-studied species, which is a very effective method of structuring source data in mathematical modeling of natural processes. Response functions, analogy method and consistency of species abundance dynamics are used, which is especially manifested in the positions of synergy in a crisis. Coherence coefficients are introduced for the speed and tempos of change of population numbers, which are calculated as correlation coefficients of the first and second derivatives, respectively, approximating the dynamics of population, because coherence of processes is characterized by consistency in their speed and coincidence of special points.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - The Use of Coherence in Studies of Biota Dynamics in the Conditions of the Aral Crisis
    AU  - Elzura Pulatovna Urazimbetova
    AU  - Bibigul Saribaevna Tleumuratova
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    JO  - Ecology and Evolutionary Biology
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    PB  - Science Publishing Group
    SN  - 2575-3762
    UR  - https://doi.org/10.11648/j.eeb.20220703.13
    AB  - The article studies long-term joint dynamics in the conditions of the Southern Aral Sea region of the population size of the most typical for this region system of «fox-rodents-plants». It is shown that the peculiarities of dynamics of natural processes in the conditions of the Aral crisis require the development of special simulation models, taking into account the parameters of management and parameters of the order of destabilized ecosystem. Classic Lotka-Volterra models of «predator-prey», built for a normally and permanently functioning ecosystem, are inadequate for crisis conditions. The coherence of the behaviour of elements of an unbalanced self-organizing system can serve as a measure of verification of the results of the investigation of the behaviour of individual elements of the system. Consistency of population changes in the system of «predator-prey», caused by trophic bonds far from the point of bifurcation, the behavior of the system elements and the level of interelement interactions can be coherent. We propose a method of reconstructing series of observations missing data on multi-year population dynamics of one species, by linking this species to another well-studied species, which is a very effective method of structuring source data in mathematical modeling of natural processes. Response functions, analogy method and consistency of species abundance dynamics are used, which is especially manifested in the positions of synergy in a crisis. Coherence coefficients are introduced for the speed and tempos of change of population numbers, which are calculated as correlation coefficients of the first and second derivatives, respectively, approximating the dynamics of population, because coherence of processes is characterized by consistency in their speed and coincidence of special points.
    VL  - 7
    IS  - 3
    ER  - 

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Author Information
  • Karakalpak Scientific Research Institute of Natural Sciences, Karakalpak Branch, Academy of Sciences of the Republic of Uzbekistan, Nukus, Uzbekistan

  • Karakalpak Scientific Research Institute of Natural Sciences, Karakalpak Branch, Academy of Sciences of the Republic of Uzbekistan, Nukus, Uzbekistan

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