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

Elzura Pulatovna Urazimbetova; Bibigul Saribaevna Tleumuratova

doi:doi:10.11648/j.eeb.20220703.13

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

Elzura Pulatovna Urazimbetova, Bibigul Saribaevna Tleumuratova

Published in Ecology and Evolutionary Biology (Volume 7, Issue 3)

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

[1]	Kuznetsov, A. S. (2011). Energy potential of landscape and geomorphological systems. XVII scientific conference of young geogr. Siberia and the Far East. Irkutsk, RU: In-ta geogr.: 31–32.
[2]	Shilov, A., Chabovsky, A. V., Isaev, S. I. and Neronov, V. V. (2000). Dynamics of the community and population of rodents in the semidesert of Kalmykia in the conditions of reducing the load on pastures and climate humidification. Izvestiya AN: Ser. Biol., (3): 332–344. https://istina.cemi-ras.ru/publications/article/11673522/.
[3]	Ruchin, A. B. (2006). E`kologiya populyaczij i soobshhestv [Ecology of populations and communities]. Moscow, RU, 352.
[4]	Mambetullayeva, S. M. (2008). Determination of ecological criteria for normalizing the anthropogenic load on the mammalian fauna in the lower reaches of the Amu Darya. Actual problems of biology, ecology and soil science. Tashkent, UZB: 85–87.
[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.
[7]	Bierman, S. M., Fairbairn, J. P., Petty, S. J., Elston, D. A., Tidhar, D., & Lambin, X. (2006). Changes over time in the spatiotemporal dynamics of cyclic populations of field voles (Mi-crotus agrestis L.). The American Naturalist, 167 (4): 583-590. https://doi.org/10.1086/501076
[8]	Kausrud, K. L., Mysterud, A., Steen, H., Vik, J. O., Østbye, E., Cazelles, B., Framstad, E., Eikeset, A. M., Mysterud, I., Solhøy, T. and Stenseth, N. Chr. (2008). Linking climate change to lemming cycles. Nature, 456 (7218): 93–97. DOI: 10.1038/nature07442.
[9]	Reimov, R. (1987). Gry`zuny` Yuzhnogo Priaral`ya [Rodents of the Southern Aral Sea Region]. Tashkent, UZB: FAN, 125.
[10]	Reimov, R. (1972). Opy`t e`kologicheskogo i morfofiziologicheskogo analiza fauny` mlekopitayushhikh Yuzhnogo Priaral`ya [Experience of ecological and morphophysiological analysis of the mammalian fauna of the Southern Aral Sea region]. Nukus, UZB: Karakalpakstan, 412.
[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
[12]	Anderson, T. (1976). Statisticheskiy analiz vremennyh ryadov [Statistical analysis of time series]. M.: Mir, 756.
[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.
[14]	Chu, A. R. and Mikhailov, M. D. (2017). The study of the mathematical model “predator-prey” taking into account intraspecific competition and habitat in a two-dimensional approximation. XIX Siberian Conference on parallel and high-performance computing. Tomsk, RU. 78–85. http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000621864.
[15]	Chu, A. R. and Mikhailov, M. D. (2016). Research of the mathematical model “predator-prey” taking into account intraspecific competition. All-Russian Youth scientific conference “All facets of mathematics and mechanics”: collection of articles. Tomsk, RU: Publishing House of Tomsk State University. 118–124. http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000621335.
[16]	Tleumuratova, B. S. (2018). Mathematical modeling of the influence of transformations of the ecosystem of the Southern Aral Sea region on soil and climatic conditions. D.Sc. Thesis. Tashkent, UZB.

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APA Style

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
Y1  - 2022/09/05
PY  - 2022
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DO  - 10.11648/j.eeb.20220703.13
T2  - Ecology and Evolutionary Biology
JF  - Ecology and Evolutionary Biology
JO  - Ecology and Evolutionary Biology
SP  - 54
EP  - 58
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
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Author Information

Elzura Pulatovna Urazimbetova

Karakalpak Scientific Research Institute of Natural Sciences, Karakalpak Branch, Academy of Sciences of the Republic of Uzbekistan, Nukus, Uzbekistan
Bibigul Saribaevna Tleumuratova

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

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APA Style

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
Y1  - 2022/09/05
PY  - 2022
N1  - https://doi.org/10.11648/j.eeb.20220703.13
DO  - 10.11648/j.eeb.20220703.13
T2  - Ecology and Evolutionary Biology
JF  - Ecology and Evolutionary Biology
JO  - Ecology and Evolutionary Biology
SP  - 54
EP  - 58
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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