, Volume 9, Issue 3, pp 185–194 | Cite as

Computer simulations of seasonal outbreak and diurnal vertical migration of cyanobacteria

  • Hiroshi Serizawa
  • Takashi Amemiya
  • Axel G. Rossberg
  • Kiminori Itoh
Research paper


Algal blooms caused by cyanobacteria are characterized by two features with different time scales: one is seasonal outbreak and collapse of a bloom and the other is diurnal vertical migration. Our two-component mathematical model can simulate both phenomena, in which the state variables are nutrients and cyanobacteria. The model is a set of one-dimensional reaction-advection-diffusion equations, and temporal changes of these two variables are regulated by the following five factors: (1) annual variation of light intensity, (2) diurnal variation of light intensity, (3) annual variation of water temperature, (4) thermal stratification within a water column and (5) the buoyancy regulation mechanism. The seasonal change of cyanobacteria biomass is mainly controlled by factors, (1), (3) and (4), among which annual variations of light intensity and water temperature directly affect the maximum growth rate of cyanobacteria. The latter also contributes to formation of the thermocline during the summer season. Thermal stratification causes a reduction in vertical diffusion and largely prevents mixing of both nutrients and cyanobacteria between the epilimnion and the hypolimnion. Meanwhile, the other two factors, (2) and (5), play a significant role in diurnal vertical migration of cyanobacteria. A key mechanism of vertical migration is buoyancy regulation due to gas-vesicle synthesis and ballast formation, by which a quick reversal between floating and sinking becomes possible within a water column. The mechanism of bloom formation controlled by these five factors is integrated into the one-dimensional model consisting of two reaction-advection-diffusion equations.


Ballast formation Buoyancy regulation Diurnal vertical migration Reaction-advection-diffusion equations Seasonal outbreak and collapse 



We are grateful to T. Enomoto and K. Shibata for insightful discussions. This study is supported by the Global COE Program “Global Eco-Risk Management from Asian View Points” from the Ministry of Education, Culture, Sports, Science and Technology of Japan.


  1. Belov AP, Giles JD (1997) Dynamical model of buoyant cyanobacteria. Hydrobiologia 349:87–97CrossRefGoogle Scholar
  2. Bowie GL, Mills WB, Porcella DB, Campbell CL, Pagenkopf JR, Rupp GL, Johnson KM, Chan PWH, Gherini SA (1985) Rates, constants, and kinetics formulations in surface water quality modeling. U.S. Environmental Protection Agency, AthensGoogle Scholar
  3. Brookes JD, Ganf GG (2001) Variations in the buoyancy response of Microcystis aeruginosa to nitrogen, phosphorus and light. J Plankton Res 23:1399–1411CrossRefGoogle Scholar
  4. Brookes JD, Ganf GG, Oliver RL (2000) Heterogeneity of cyanobacterial gas-vesicle volume and metabolic activity. J Plankton Res 22:1579–1589CrossRefGoogle Scholar
  5. Fennel K, Boss E (2003) Subsurface maxima of phytoplankton and chlorophyll: steady-state solutions from a simple model. Limnol Oceanogr 48:1521–1534Google Scholar
  6. Ha K, Kim H-W, Jeong K-S, Joo G-J (2000) Vertical distribution of Microcystis population in the regulated Nakdong River, Korea. Limnology 1:225–230CrossRefGoogle Scholar
  7. Hanazato T, Aizaki M (1991) Changes in species composition of cladoceran community in Lake Kasumigaura during 1988–1989: occurrence of Daphnia galeata and its effect on algal biomass. Jpn J Limnol 52:45–55Google Scholar
  8. Hense I, Beckmann A (2006) Towards a model of cyanobacteria life cycle—effects of growing and resting stages on bloom formation of N2-fixing species. Ecol Modell 195:205–218CrossRefGoogle Scholar
  9. Howard A (2001) Modeling movement patterns of the cyanobacterium, Microcystis. Ecol Appl 11:304–310CrossRefGoogle Scholar
  10. Huisman J, Sharples J, Stroom JM, Visser PM, Edwin W, Kardinaal A, Jolanda M, Verspagen H, Sommeijer B (2004) Changes in turbulent mixing shift competition for light between phytoplankton species. Ecology 85:2960–2970CrossRefGoogle Scholar
  11. Huisman J, Thi NNP, Karl DM, Sommeijer B (2006) Reduced mixing generates oscillations and chaos in the oceanic deep chlorophyll maximum. Nature 439:322–325PubMedCrossRefGoogle Scholar
  12. Ibelings BW, Mur LR, Walsby AE (1991) Diurnal changes in buoyancy and vertical distribution in populations of Microcystis in two shallow lakes. J Plankton Res 13:419–436CrossRefGoogle Scholar
  13. Kromkamp J, Walsby AE (1990) A computer model of buoyancy and vertical migration in cyanobacteria. J Plankton Res 12:161–183CrossRefGoogle Scholar
  14. Long BM, Jones GJ, Orr PT (2001) Cellular microcystin content in N-limited Microcystis aeruginosa can be predicted from growth rate. Appl Environ Microbiol 67:278–283PubMedCrossRefGoogle Scholar
  15. Reynolds CS, Rogers DA (1976) Seasonal variations in the vertical distribution and buoyancy of Microcystis aeruginosa Kütz. Emend. Elenkin in Rostherne Mere, England. Hydrobiologia 48:17–23Google Scholar
  16. Reynolds CS, Oliver RL, Walsby AE (1987) Cyanobacterial dominance: the role of buoyancy regulation in dynamic lake environments. NZ J Mar Freshwater Res 21:379–390CrossRefGoogle Scholar
  17. Reynolds CS, Irish AE, Elliott JA (2001) The ecological basis for simulating phytoplankton responses to environmental change (PROTECH). Ecol Modell 140:271–291CrossRefGoogle Scholar
  18. Sigee DC (2005) Freshwater microbiology. John Wiley and Sons Ltd, West SussexGoogle Scholar
  19. Takamura N, Yasuno M (1984) Diurnal changes in the vertical distribution of phytoplankton in hypertrophic Lake Kasumigaura, Japan. Hydrobiologia 112:53–60CrossRefGoogle Scholar
  20. Tsujimura S, Tsukada H, Nakahara H, Nakajima T, Nishino M (2000) Seasonal variations of Microcystis populations in sediments of Lake Biwa, Japan. Hydrobiologia 434:183–192CrossRefGoogle Scholar
  21. Visser PM, Ketelaars HAM, van Breemen LWCA, Mur LR (1996) Diurnal buoyancy changes of Microcystis in an artificially mixed storage reservoir. Hydrobiologia 331:131–141CrossRefGoogle Scholar
  22. Visser PM, Passarge J, Mur LR (1997) Modelling vertical migration of the cyanobacterium Microcystis. Hydrobiologia 349:99–109CrossRefGoogle Scholar
  23. Wakabayashi T, Ichise S (2004) Seasonal variation of phototrophic picoplankton in Lake Biwa (1994–1998). Hydrobiologia 528:1–16CrossRefGoogle Scholar
  24. Wallace BB, Hamilton DP (2000) Simulation of water-bloom formation in the cyanobacterium Microcystis aeruginosa. J Plankton Res 22:1127–1138CrossRefGoogle Scholar
  25. Walsby AE (1994) Gas vesicles. Microbiol Rev 58:94–144PubMedGoogle Scholar
  26. Watanabe MF, Harada K, Carmichael WW, Fujiki H (1996) Toxic Microcystis. CRC Press Inc, Boca RatonGoogle Scholar
  27. Yang Z, Kong F, Shi X, Cao H (2006) Morphological response of Microcystis aeruginosa to grazing by different sorts of zooplankton. Hydrobiologia 563:225–230CrossRefGoogle Scholar
  28. Yoshiyama K, Nakajima H (2002) Catastrophic transition in vertical distributions of phytoplankton: alternative equilibria in a water column. J Theor Biol 216:397–408PubMedCrossRefGoogle Scholar

Copyright information

© The Japanese Society of Limnology 2008

Authors and Affiliations

  • Hiroshi Serizawa
    • 1
  • Takashi Amemiya
    • 1
  • Axel G. Rossberg
    • 2
  • Kiminori Itoh
    • 1
  1. 1.Graduate School of Environment and Information SciencesYokohama National UniversityYokohamaJapan
  2. 2.Evolution and Ecology ProgramInternational Institute for Applied Systems Analysis (IIASA)LaxenburgAustria

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