Abstract
The individual linear growth of 90 specimens of the freshwater pearl mussel Margaritifera margaritifera was studied by measuring the successive annual rings on the surface of the shell. It was found that the growth of each mollusk can be described using a united equation, a particular case of which is the Bertalanffy equation with an average growth retardation coefficient a = 0.048 year–1 and the coefficient of the initial conditions d = 5.3 mm/year. It was noted that the growth of mollusks is accompanied by three regular biorhythms with periods of 13.4, 6.8, and 4.0 years, with the first two biorhythms fading, the latter having a constant amplitude. It was found that a decrease in the amplitude of fading biorhythms can be described by a power equation with the same coefficients. Questions related to the nature of the biorhythms identified are discussed.
Similar content being viewed by others
REFERENCES
Alimov, A.F., Funktsional’naya ekologiya presnovodnykh dvustvorchatykh mollyuskov (Functional Ecology of Freshwater Bivalves), Leningrad: Nauka, 1981.
Bauer, G., Variation in life span and size of the freshwater pearl mussel, J. Anim. Ecol., 1992, vol. 61, pp. 425–436.
CLIMATE-DATA.ORG. 2019. https://ru.climate-data.org/.
Dunca, E., Söderberg, H., and Norrgrann, O., Shell growth and age determination in the freshwater pearl mussel Margaritifera margaritifera in Sweden: natural versus limed streams, Ferrantia, 2011, vol. 64, pp. 48–58.
Haken, H., Synergetics. Introduction and advanced topics. Pt I. An introduction, in Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology, 2nd ed. (enlarged), Heidelberg: Springer-Verlag, 1978.
Hastie, LC., Young, M.R., and Boon, P.J., Growth characteristics of freshwater pearl mussels, Margaritifera margaritifera (L.), Freshwater Biol., 2000, vol. 43, pp. 243–256.
Ivanter, E.V. and Korosov, A.V., Elementarnaya biometriya (Elementary Biometry), Petrozavodsk: Petr. Gos. Univ., 2010.
Lamprecht, I., Dissipative structures in physics, chemistry, and biology, in Termodinamika biologicheskikh protsessov (Thermodynamics of Biological Processes), Moscow: Nauka, 1976, pp. 175–186.
Malek-Mansour, M., Nicolis, G., and Prigogine, I., Nonequilibrium phase transitions in chemical systems, in Termodinamika i kinetika biologicheskikh protsessov (Thermodynamics and Kinetics of Biological Processes), Moscow: Nauka, 1980, pp. 59–83.
Nicolis, G., Fluctuations around non-equilibrium states in open non-linear systems, J. Stat. Phys., 1972, vol. 6, nos. 2/3, pp. 195–222.
Nicolis, G. and Prigogine, I., Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order through Fluctuations, New York: Wiley Interscience, 1977.
Prigogine, I., La thermodynamique de la vie, La Recherche, 1972, vol. 3, no. 24, pp. 547–562.
Prigogine, I. and Nicolis, G., Biological order, structure and instabilities, Quart. Rev. Biophys., 1971, vol. 4, nos. 2/3, pp. 107–148.
Rubin, A.B., Termodinamika biologicheskikh protsessov (Thermodynamics of Biological Processes), Moscow: Mosk. Gos. Univ., 1976.
San Miguel, E., Monserrat, S., Fernández, C., Amaro, R., Hermida, M., Ondina, P., and Altaba, C.R., Growth models and longevity of freshwater pearl mussels (Margaritifera margaritifera) in Spain, Can. J. Zool., 2004, vol. 82, pp. 1370–1379.
Sipachev, S.G., Ritmichnost’ rosta zhivotnykh (Animal Growth Rhythmicity), Tyumen: Tyumen. Gos. Pedagog. Inst., 1970.
Vasil’ev, V.A., Stationary dissipative structures, in Termodinamika biologicheskikh protsessov (Thermodynamics of Biological Processes), Moscow: Nauka, 1976, pp. 186–198.
Zolotarev, V.N., Long-term growth rhythms of Glrayan mussel shells, Ekologiya, 1974, no. 3, pp. 76–80.
Zotin, A.I., Termodinamicheskii podkhod k problemam razvitiya, rosta i stareniya (Thermodynamic Approach to the Problems of Development, Growth, and Aging), Moscow: Nauka, 1974.
Zotin, A.I., Dissipative structures and ψu-functions, in Termodinamika biologicheskikh protsessov (Thermodynamics of Biological Processes), Moscow: Nauka, 1976, pp. 203–205.
Zotin, A.A., Statistical estimation of allometric coefficients, Biol. Bull. (Moscow), 2000, vol. 27, no. 5, pp. 431–437.
Zotin, A.A., Patterns of growth and energy metabolism in the ontogeny of mollusks, Extended Abstract of Doctoral (Biol.) Dissertation, Moscow: Inst. Biol. Razvitiya Ross. Akad. Nauk, 2009.
Zotin, A.A., Specific features in realization of the principle of minimum energy dissipation during individual development, Biol. Bull. (Moscow), 2012, vol. 39, no. 3, pp. 213–220.
Zotin, A.A., Why linear thermodynamics does describe change of entropy production in living systems?, Nat. Sci., 2014, vol. 6, pp. 495–502.
Zotin, A.A., The united equation of animal growth, Am. J. Life Sci., 2015, vol. 3, no. 5, pp. 345–351.
Zotin, A.A. and Ieshko, E.P., Comparative analysis of the growth of Margaritifera margaritifera (Bivalvia) from different populations of Karelia and Kola Peninsula, Biol. Bull. (Moscow), 2017, vol. 44, no. 1, pp. 1–5.
Zotin, A.A. and Ieshko, E.P., Biorhythms of Margaritifera margaritifera (Bivalvia, Margaritiferidae) freshwater pearl mussel growth: population of Syuskyuyanioki River (Karelia), Russ. J. Dev. Biol., 2018, vol. 49, no. 4, pp. 206–213.
Zotin, A.A. and Kleimenov, S.Yu., Endogenous biorhythms of the specific growth rate in individual development of Lymnaea stagnalis (Lymnaeidae, Gastropoda), Biol. Bull. (Moscow), 2013, vol. 40, no. 1, pp. 1–10.
Zotin, A.A. and Zotin, A.I., Thermodynamic bases of developmental processes, J. Non-Equilib. Thermodyn., 1996, vol. 21, no. 4, pp. 307–320.
Zotin, A.A. and Zotin, A.I., Phenomenological theory of ontogenesis, Int. J. Dev. Biol., 1997, vol. 41, no. 6, pp. 917–921.
Zotin, A.I. and Zotina, R.S., Fenomenologicheskaya teoriya razvitiya, rosta i stareniya organizma (The Phenomenological Theory of Development, Growth, and Aging of the Organism), Moscow: Nauka, 1993.
Zotin, A.A., Murzina, S.A., and Ieshko, E.P., Growth biorhythms in the freshwater pearl mussel Margaritifera margaritifera (Bivalvia, Margaritiferidae). Livojoki river population (Karelia), Knowl. Manage. Aquat. Ecosyst., 2018, vol. 419, pp. 44–51.
Zyuganov, V.V., Zotin, A.A., and Tret’yakov, V.A., Zhemchuzhnitsy i ikh svyaz’ s lososevymi rybami (Pearl Mussels and Their Relationship with Salmonid Fishes), Moscow: TsNIITEIlegprom, 1993.
Funding
The work was conducted under the IDB RAS Government basic research program, no. 0108-2019-0003.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The author declares that he has no conflict of interest. This article does not contain any studies involving animals or human participants performed by the author.
Additional information
Translated by M. Batrukova
Rights and permissions
About this article
Cite this article
Zotin, A.A. Growth Biorhythms of the European Pearl Mussel Margaritifera margaritifera (Bivalvia, Margaritiferidae) of the Varzuga River Population (Murmansk Oblast). Biol Bull Russ Acad Sci 47, 381–388 (2020). https://doi.org/10.1134/S1062359020030115
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1062359020030115