Phytoplankton blooms and fish recruitment rate: Effects of spatial distribution

Bulletin of Mathematical Biology

Volumn 66, Issue 2, 2004, Pages 233-259

  Biktashev, V N ^a,b   Brindley, J ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1242333302     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bulm.2003.08.008     Document Type: Article

References (31)

1. Abraham E.R. The generation of plankton patchiness by turbulent stirring. Nature. 391:1998;577-580.
2. Bainbridge R. Size, shape and density of marine phytoplankton concentrations. Biol. Rev. 32:1957;91-115.
3. Biktashev V.N., Brindley J., Horwood J.W. Phytoplankton blooms and fish recruitment rate. J. Plankton Res. 5:2003;21-33.
4. Cushing D.H., Horwood J.W. The growth and death of fish larvae. J. Plankton Res. 16:1994;291-300.
5. de Roos A.M., McCawley E., Wilson W.G. Pattern formation and the scale of interaction between predators and their prey. Theor. Pop. Biol. 52:1998;108-130.
6. Fisher R.A. The wave of advance of advantageous genes. Phil. Trans. Roy. Soc. Lond. B. 7:1937;355-369.
7. Flierl G.R., Davis C.S. Biological effects of Gulf-Stream meandering. J. Marine Res. 51:1993;529-560.
8. Folt C.L., Burns C.W. Biological drivers of zooplankton patchiness. Trends Ecol. Evol. 14:1999;300-305.
9. Gurney W.J.C., Veitch R. Self-organisation, scale and stability in a spatial predator-prey intraction. Bull. Math. Biol. 62:2000;61-86.
10. Heath M.R., Gallego A. Bio-physical modeling of the early life stages of haddock, melanogrammus aeglefinus, in the North Sea. Fisheries Oceanography. 7:1998;110-125.
11. James A., Pitchford J.W., Brindley J. The relationship between plankton blooms, the hatching of fish larvæ and recruitment. Ecological Modelling. 160:2003;77-90.
12. Kolmogoroff A., Petrovsky I., Piscounoff N. Étude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique. Moscow Univ. Bull. Math. 1:1937;1-25.
13. Martin A.P., Richards K.G. Mechanisms for vertical nutrient transport within a North Atlantic mesoscale eddy. Deep-Sea Res. II. 48:2001;757-773.
14. Matthews L., Brindley J. Patchiness in plankton populations. Dyn. Stab. Syst. 12:1997;39-59.
15. McGillicuddy D.J. Jr, Robinson A.R. Eddy-induced nutrient supply and new production in the Sargasso Sea. Deep-Sea Res. I. 44:1997;1427-1450.
16. Miller D.G.M., Hampton I. Biology and ecology of the Antarctic krill (Euphausia superba Dana): a review. BIOMASS 9. 1989;1-166 Scott Polar Research Institute (SCAR/SCOR), Cambridge, England.
17. Neufeld Z., Haynes P., Garçon V., Sudre J. Ocean fertilization experiment may initiate a large scale phytoplankton bloom. Geophys. Res. Lett. 29:2002;1534.
18. Okubo A. Diffusion and ecological problems: mathematical models. Biomathematics. 10:1980;Springer, Berlin, Heidelberg, New York.
19. Oschlies A., Garçon V. Eddie-induced enhancement of primary productivity in a model of the North Atlantic. Nature. 398:1998;266-268.
20. Oschlies A., Koeve W., Garçon V. An eddy-permitting coupled physical biological model of the North Atlantic, 2. Ecosystem dynamics and comparison with satellite and JGOFS local studies data. Global Biogeochemical Cycles. 14:2000;499-523.
21. Pitchford J.W., Brindley J. Prey patchiness, predator survival and fish recruitment. Bull. Math. Biol. 63:2001;527-546.
22. Siegel D.A., McGillicuddy D.J. Jr, Fields E.A. Mesoscale eddies, satellite altimetry and new production in the Sargasso Sea. J. Geophys. Res. 104:1999;13359-13379.
23. Steele J.H. Some comments on plankton patches. Steele J.H. Spatial Pattern in Plankton Communities. 1978;1-20 Plenum Press, New York and London.
24. Steele J.H., Henderson E.W. A simple plankton model. Am. Naturalist. 117:1981;676-691.
25. Steele J.H., Henderson E.W. The role of predation in plankton models. J. Plankton Res. 14:1992;157-172.
26. Steele J.H., Henderson E.W. A simple model for plankton patchiness. J. Plankton Res. 14:1992;1397-1403.
27. Strass V.H. Chlorophyll patchiness caused by mesoscale upwelling at fronts. Deep-Sea Res. A. 39:1992;75-96.
28. Talbot J.W. Diffusion data. Fisheries Research Technical Report 28. 1976;MAFF Directorate of Fisheries Research, Lowestoft.
29. The PRIME Community (2001). The PRIME study. Deep-Sea Res. II 48.
30. Truscott J.E., Brindley J. Equilibria, stability and excitability in a general class of plankton population models. Phil. Trans. Roy. Soc. London A. 347:1994;703-718.
31. Venrick E.L. Mesoscale patterns of Chlorophyll-A in the central North Pacific. Deep-Sea Res. A. 37:1990;1017-1031.