Skip to main content

Simulation as a Method for Asymptotic System Behavior Identification (e.g. Water Frog Hemiclonal Population Systems)

Part of the Communications in Computer and Information Science book series (CCIS,volume 1175)


Studying any system requires development of ways to describe the variety of its conditions. Such development includes three steps. The first one is to identify groups of similar systems (associative typology). The second one is to identify groups of objects which are similar in characteristics important for their description (analytic typology). The third one is to arrange systems into groups based on their predicted common future (dynamic typology).

We propose a method to build such a dynamic topology for a system. The first step is to build a simulation model of studied systems. The model must be undetermined and simulate stochastic processes. The model generates distribution of the studied systems output parameters with the same initial parameters. We prove the correctness of the model by aligning the parameters sets generated by the model with the set of the original systems conditions evaluated empirically. In case of a close match between the two, we can presume that the model is adequately describing the dynamics of the studied systems. On the next stage, we should determine the probability distribution of the systems transformation outcome. Such outcomes should be defined based on the simulation of the transformation of the systems during the time sufficient to determine its fate. If the systems demonstrate asymptotic behavior, its phase space can be divided into pools corresponding to its different future state prediction. A dynamic typology is determined by which of these pools each system falls into.

We implemented the pipeline described above to study water frog hemiclonal population systems. Water frogs (Pelophylax esculentus complex) is an animal group displaying interspecific hybridization and non-mendelian inheritance.


  • Dynamic typology
  • Hemiclonal inheritance
  • Pelophylax esculentus complex
  • Simulation modelling

This is a preview of subscription content, access via your institution.

Buying options

USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-030-39459-2_18
  • Chapter length: 23 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
USD   79.99
Price excludes VAT (USA)
  • ISBN: 978-3-030-39459-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   99.99
Price excludes VAT (USA)
Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.
Fig. 12.


  1. Abbott, J.K., Morrow, E.H.: Obtaining snapshots of genetic variation using hemiclonal analysis. Trends Ecol. Evol. 26(7), 359–368 (2011)

    CrossRef  Google Scholar 

  2. Biriuk, O.V., et al.: Gamete production patterns and mating systems in water frogs of the hybridogenetic Pelophylax esculentus complex in northeastern Ukraine. J. Zool. Syst. Evol. Res. 54(2) (2016).

    CrossRef  Google Scholar 

  3. Bove, P., Milazzo, P., Barbuti, R.: The role of deleterious mutations in the stability of hybridogenetic water frog complexes. BMC Evol. Biol. 14, 107 (2014).

    CrossRef  Google Scholar 

  4. Christiansen, D.G.: Gamete types, sex determination and stable equilibria of all-hybrid populations of diploid and triploid edible frogs (Pelophylax esculentus). BMC Evol. Biol. 9 (2009).

    CrossRef  Google Scholar 

  5. Kravchenko, M.O., Shabanov, D.A., Vladimirova, M.V., Zholtkevych, G.M.: Investigation of the stability of hemiclonal population systems of water frogs hybridogenetic complex by the means of simulation modeling. J. Dnipropetrovsk Natl. Univ. Biol. Ecol. 19(1) (2011)

    CrossRef  Google Scholar 

  6. Lada, G.A.: On the necessity of preserving the unique “pure” diploid populations of the edible frog (Rana esculenta Linnaeus, 1758) in the Belgorod and the Kharkiv region. In: Problems of Protection and Rational Use of Natural Ecosystems and Biological Resources. Penza (1998). (in Russian)

    Google Scholar 

  7. Lenhard, J.: Computer Simulation: the cooperation between experimenting and modelling. Philos. Sci. 74(2), 176–194 (2007)

    MathSciNet  CrossRef  Google Scholar 

  8. Makaryan, R.M., et al.: Composition of water frogs (Pelophylax esculentus complex) tadpoles in the Is’kov Pond (NPP “Gomilshanskie Forests”). In: Status and Biodiversity of the Ecosystems of the Shatsk NNP & Other Reserved Areas. Lviv (2016). (in Ukrainian)

    Google Scholar 

  9. Melechov, I.S.: Dynamic Typology of Forests. Forestry (1968). (in Russian)

    Google Scholar 

  10. Mezhzherin, S.V., Morozov-Leonov, S.Yu., Rostovskaya, O.V., Shabanov, D.A., Sobolenko, L.Yu.: The ploidy and genetic structure of hybrid population of water frogs Pelophylax esculentus complex (Amphibia, Ranidae) of Ukraine fauna. Cytol. Genet. 44(4), 212–216 (2010)

    CrossRef  Google Scholar 

  11. Plötner, J.: Die westpaläarktichen Wasserfrösche. Laurenti Verlag, Bielefeld (2005)

    Google Scholar 

  12. Quilodran, C.S., Montoya-Burgos, J.I., Currat, M.: Modelling interspecific hybridization with genome exclusion to identify conservation actions: the case of native and invasive Pelophylax waterfrogs. Evol. Appl. 8, 199–210 (2015)

    CrossRef  Google Scholar 

  13. Rasnitzyn, A.P.: Theoretical foundations of evolutionary biology. In: Introduction to Palaeoentomology. KMK, Moscow (2008). (in Russian)

    Google Scholar 

  14. Reyer, H.-U., Wälti, M.-O., Bättig, I., Altwegg, R., Hellriegel, B.: Low proportions of reproducing hemiclonal females increase the stability of a sexual parasite–host system (Rana esculenta, R. lessonae). J. Anim. Ecol. 73, 1089–1101 (2004)

    CrossRef  Google Scholar 

  15. Shabanov, D.A.: Evolutionary ecology of population hybridogenic complex of water frogs (Pelophylax esculentus complex) Left-Bank Ukraine steppe: Thesis for the Degree of Doctor of biological sciences, spec. 03.00.16 ecology. Dnipropetrovsk (2015). (in Ukrainian)

    Google Scholar 

  16. Shabanov, D.A., Biriuk, O.V., Korshunov, O.V., Kravchenko, M.O.: Different types of the water frogs hybridogenous complex (Pelophylax esculentus complex) hemiclonal population systems distribution in the Siverskyi Donets basin. In: Current Status and Protection of Natural Complexes in the Siverskyi Donets Basin. Sviatohirsk (2017). (in Ukrainian)

    Google Scholar 

  17. Shabanov, D., et al.: Sustainable coexistence of the parental species and hemiclonal interspecific hybrids is provided by the variety of ontogenetic strategies. Herpetol. Facts J. 2, 35–43 (2015)

    Google Scholar 

  18. Shabanov, D., et al.: Simulation as a tool to identify dynamical typology of water frog hemiclonal population systems. In: CEUR Workshop Proceedings, vol. 2387, pp. 17–33 (2019)

    Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to Dmytro Shabanov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Verify currency and authenticity via CrossMark

Cite this paper

Shabanov, D. et al. (2020). Simulation as a Method for Asymptotic System Behavior Identification (e.g. Water Frog Hemiclonal Population Systems). In: Ermolayev, V., Mallet, F., Yakovyna, V., Mayr, H., Spivakovsky, A. (eds) Information and Communication Technologies in Education, Research, and Industrial Applications. ICTERI 2019. Communications in Computer and Information Science, vol 1175. Springer, Cham.

Download citation

  • DOI:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-39458-5

  • Online ISBN: 978-3-030-39459-2

  • eBook Packages: Computer ScienceComputer Science (R0)