Modelling vertical migration trajectory of Microcystis in calm water
YU Qian1,2, CHEN Yong-can3,4, LIU Zhao-wei4
1. China Institute of Water Resources and Hydropower Research, Beijing 100038, China;
2. Center of Disaster Reduction of the Ministry of Water Resources, Beijing 100038, China;
3. School of Environment and Resource, Southwest University of Science and Technology, Mianyang 621010, China;
4. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China
In this paper, a mathematical model coupling buoyancy regulation model and hydrodynamic model was developed to simulate the trajectory of Microcystis colonies in calm water. The simulation results showed that Microcystis present different movement trajectories in water with different depths. In shallow water where large amounts of incident light could reach at the bottom of water, all the Microcystis colonies, whatever size they have, stayed at the bottom. However, in deep water, again whatever size they have, Microcystis colonies made periodical movements. The simulation results revealed that colony size was the main factor that determined the trajectory amplitude in the vertical. The Microcystis colony with larger size would reach deeper positions and also reach water surface. Extinction coefficients determined the movement position. If the extinction coefficient was small, Microcystis colonies would move in the deeper position. On the contrary, if the extinction coefficient was large, the colonies would move near the water surface.
Serizawa H, Amemiya T, Rossberg A G, et al. Computer simulations of seasonal outbreak and diurnal vertical migration of cyanobacteria [J]. Limnology, 2008,9(3):185-194.
[2]
Reynolds C S, Oliver R L, Walsby A E. Cyanobacterial dominance: the role of buoyancy regulation in dynamic lake environments [J]. New Zealand journal of marine and freshwater research, 1987,21(3):379-390.
[3]
Ibelings B W. Changes in photosynthesis in response to combined irradiance and temperature stress in cyanobacterial surface water blooms [J]. Journal of Phycology, 1996,32(4):549-557.
[4]
Paerl H W, Huisman J. Blooms like it hot [J]. Science, 2008, 320(5872):57.
Ibelings B W, Mur L R, Walsby A E. Diurnal changes in buoyancy and vertical distribution in populations of Microcystis in two shallow lakes [J]. Journal of Plankton Research, 1991, 13(2):419-436.
[7]
Huisman J, Van Oostveen P, Weissing F J. Species dynamics in phytoplankton blooms: incomplete mixing and competition for light [J]. The American Naturalist, 1999,154(1):46-68.
[8]
Yu Q, Chen Y, Liu Z, et al. The influence of a eutrophic lake to the river downstream: spatiotemporal algal composition changes and the driving factors [J]. Water, 2015,7:2184-2201.
Huisman J, Weissing F J. Light-limited growth and competition for light in well-mixed aquatic environments: an elementary model [J]. Ecology, 1994:507-520.
[11]
Visser P M, Passarge J, Mur L R. Modelling vertical migration of the cyanobacterium Microcystis [J]. Hydrobiologia, 1997, 349(1-3):99-109.
[12]
Huisman J, Sharples J, Stroom J M, et al. Changes in turbulent mixing shift competition for light between phytoplankton species [J]. Ecology, 2004,85(11):2960-2970.
[13]
Medrano E A, Uittenbogaard R E, Dionisio Pires L M, et al. Coupling hydrodynamics and buoyancy regulation in Microcystis aeruginosa for its vertical distribution in lakes [J]. Ecological Modelling, 2013,248:41-56.
[14]
Chen Y, Qian X, Zhang Y. Modelling Turbulent Dispersion of Buoyancy Regulating Cyanobacteria in Wind-Driven Currents [C]//Bioinformatics and Biomedical Engineering, ICBBE 2009. 3rd International Conference on. IEEE, 2009:1-4.
[15]
Reynolds C S, Jaworski G H M, Cmiech H A, et al. On the annual cycle of the blue-green alga Microcystis aeruginosa Kütz. emend. Elenkin [J]. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, 1981:419-477.
Medrano E A, van de Wiel B J H, Uittenbogaard R E, et al. Simulations of the diurnal migration of Microcystis aeruginosa based on a scaling model for physical-biological interactions [J]. Ecological Modelling, 2016,337:200-210.
[18]
Guven B, Howard A. Modelling the growth and movement of cyanobacteria in river systems [J]. Science of the Total Environment, 2006,368(2):898-908.
