Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Abbott, J.K., Morrow, E.H.: Obtaining snapshots of genetic variation using hemiclonal analysis. Trends Ecol. Evol. 26(7), 359–368 (2011)
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). https://doi.org/10.1111/jzs.12132
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). https://doi.org/10.1186/1471-2148-14-107
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). https://doi.org/10.1186/1471-2148-9-135
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)
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)
Lenhard, J.: Computer Simulation: the cooperation between experimenting and modelling. Philos. Sci. 74(2), 176–194 (2007)
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)
Melechov, I.S.: Dynamic Typology of Forests. Forestry (1968). (in Russian)
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)
Plötner, J.: Die westpaläarktichen Wasserfrösche. Laurenti Verlag, Bielefeld (2005)
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)
Rasnitzyn, A.P.: Theoretical foundations of evolutionary biology. In: Introduction to Palaeoentomology. KMK, Moscow (2008). (in Russian)
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)
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)
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)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
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. https://doi.org/10.1007/978-3-030-39459-2_18
Download citation
DOI: https://doi.org/10.1007/978-3-030-39459-2_18
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)