A STUDY OF PROPERTIES OF THE RECURRENT MULTI-STEP MODELS FOR INTERANNUAL DYNAMICS OF DIATOM ALGAE COMMUNITIES IN EPIPHYTON
https://doi.org/10.26428/1606-9919-2018-193-99-111
Abstract
Epiphytic diatoms develop seasonally. On macrophytes they reach the highest density in the middle of summer and have the minimum density in winter. This pattern gives an opportunity to apply a tool of difference (recurrent) equations for testing the concept of density regulation in interannual dynamics of their number. Detailed scheme of the model is developed; the model is applied for the diatoms dynamics in macroalgae epiphyton of Ulva lactuca Linnaeus in three areas of Peter the Great Bay, Japan Sea (Amur Bay, Ussuri Bay, and Stark Strait). The model parameters are evaluated by means of SYSTAT 5 and STATISTICA 8 software. The model results do not contradict the data of observations. Its determination (R2 ) exceeds 0.62 in all cases. Selected coefficients of the model have rather small relative errors (< 11 %) which never change the sign of the coefficients. Generally, the modelled dynamics of relative number of epiphytic diatom communities is complicated, pseudochaotic. It differs between the areas. Reproductive capacity of the epiphytic diatom community is the lowest in the Stark Strait and the highest in the Amur Bay. In both these areas, alternation patterns are modelled as periods of chaotic dynamics and the periods with a limit cyclicity. Resistance of the epiphytic diatom communities to variations of the main limiting factors of the environments decreases in the order: Amur Bay — Stark Strait — Ussuri Bay.
About the Authors
V. A. Parensky
Институт биологии моря им. А.В. Жирмунского ННЦМБ ДВО РАН
Russian Federation
Ph.D., senior researcher
Russian Federation
Ph.D., senior researcher
E. V. Levchenko
Институт биологии моря им. А.В. Жирмунского ННЦМБ ДВО РАН
Russian Federation
Ph.D., researcher
Russian Federation
Ph.D., researcher
References
1. Левченко Е.В., Бегун А.А. Диатомовые водоросли эпифитона на макрофитах бухты Соболь (Уссурийский залив, Японское море) // Изв. ТИНРО. — 2008. — Т. 154. — С. 248–258.
2. Паренский В.А. Описание динамики численности и промысла горбуши Oncorhynchus gorbuscha // Вопр. ихтиол. — 2003. — Т. 43, № 3. — С. 352–360.
3. Поллард Дж. Справочник по вычислительным методам статистики. — М. : Финансы и статистика, 1982. — 344 с.
4. Прошкина-Лавренко А.И. Диатомовые водоросли бентоса Черного моря : моногр. — М. ; Л. : АН СССР, 1963. — 243 с.
5. Рябушко Л.И. Потенциально опасные микроводоросли Азово-Черноморского бассейна : моногр. — Севастополь : ЭКОСИ-Гидрофизика, 2003. — 286 с.
6. Рябушко Л.И., Бондаренко А.В. Микроводоросли планктона и бентоса Азовского моря (чеклист, синонимика, комментарий) : моногр. — Севастополь : ЭКОСИ-Гидрофизика, 2011. — 211 с.
7. Свирежев Ю.М., Логофет Д.О. Устойчивость биологических сообществ : моногр. — М. : Наука, 1978. — 352 с.
8. Шапиро А.П., Луппов С.П. Рекуррентные уравнения в теории популяционной биологии : моногр. — М. : Наука, 1983. — 133 с.
9. Guiry M.D. and Guiry G.M. AlgaeBase. World-wide electronic publication. — National University of Ireland, Galway, 2017. http://www.algaebase.org searched.
10. Harlin M.M. Seagrass epiphytes // Handbook of seagrass biology. An ecosystem perspective / eds R.C. Phillips, C.P. McRoy. — N.Y. : Garland STPM Press, 1980. — P. 117–151.
11. Mabrouk L., Brahim M.B., Hamza A. et al. A comparison of abundance and diversity of epiphytic microalgal assemblages on the leaves of the seagrasses Posidonia oceanica (L.) and Cymodocea nodosa (Ucria) Asch in Eastern Tunisia // Jour. of Mar. Biol. (Hindawi Publishing Corporation). — Vol. 2014. — ID 275305. — 10 p. http://dx.doi.org/10.1155/2014/275305.
12. May R.M. Biological populations obeying difference equations: stable points, stable cycles, and chaos // J. Theor. Biol. — 1975. — Vol. 51, Iss. 2. — P. 511–524.
13. May R.M., Oster G.F. Bifurcations and dynamic complexity in simple ecological models // Amer. Natur. — 1976. — Vol. 110, Iss. 974. — P. 573–599.
14. Paulick G.J. Studies of possible form of the stock-recruitment curve // Rapports et procèsverbaux des réunions. — 1973. — Vol. 164 : Fish stock and recruitment. — P. 302–315.
15. Pollard J.H. A handbook of numerical and statistical techniques: with examples mainly from the life sciences. — N.Y. : Cambridge Univ. Press, 1977. — 368 p.
16. Ricker W.E. Stock and recruitment // J. Fish. Res. Board Can. — 1954. — Vol. 11, № 5. — P. 559–623.
17. Round F.E., Crawford R.M., Mann D.G. The diatoms : Biology and Morphology of the Genera. — L. (UK) : Cambridge Univ. Press, 1990. — 747 p.
18. Totti C., Poulin M., Romagnoli T. et al. Epiphytic diatom communities on intertidal seaweeds from Iceland // Polar Biol. — 2009. — Vol. 32. — P. 1681–1691. DOI: 10.1007/s00300-009-0668-4.
19. Wilkinson L., Hill M.-A., Welna J.P., Birkenbeyel G.K. Systat for Windows: Statistics. Version 5. — Evanston : Systat. Inc., 1992. — 750 p.
Review
For citations:
Parensky V.A., Levchenko E.V. A STUDY OF PROPERTIES OF THE RECURRENT MULTI-STEP MODELS FOR INTERANNUAL DYNAMICS OF DIATOM ALGAE COMMUNITIES IN EPIPHYTON. Izvestiya TINRO. 2018;193(2):99-111. (In Russ.) https://doi.org/10.26428/1606-9919-2018-193-99-111
Views:
509
Email this article 