Ecological drivers of stability and instability in marine ecosystems

Theoretical Ecology

Volumn 5, Issue 4, 2012, Pages 465-480

  Plank, Michael John ^a   Law, Richard ^b  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

^b UNIVERSITY OF YORK   (United Kingdom)

Author keywords

Food web; Jump growth equation; Power law; Predator to prey mass ratio; Size spectrum; Size dependent predation

Indexed keywords

BIOMASS; BODY SIZE; ECOLOGICAL MODELING; ECOLOGICAL STABILITY; FOOD WEB; GROWTH; MARINE ECOSYSTEM; MORTALITY; PREDATOR-PREY INTERACTION; SPECTRUM; STABILITY ANALYSIS;

EID: 84867747541     PISSN: 18741738     EISSN: 18741746     Source Type: Journal    
DOI: 10.1007/s12080-011-0137-x     Document Type: Article

References (60)

1. Allesina S, Pascual M (2008) Network structure, predator-prey modules, and stability in large food webs. Theor Ecol 1: 55-64.
2. Andersen KH, Beyer JE (2006) Asymptotic size determines species abundance in the marine size spectrum. Am Nat 168: 54-61.
3. Andersen KH, Beyer JE, Pedersen M, Andersen NG, Gislason H (2008) Life-history constraints on the success of the many small eggs reproductive strategy. Theor Popul Biol 73: 490-497.
4. Anderson CNK, Hsieh C-h, Sandin SA, Hewitt R, Hollowed A, Beddington J, May RM, Sugihara G (2008) Why fishing magnifies fluctuations in fish abundance. Nature 452: 835-839.
5. Arino O, Shin Y-J, Mullon C (2004) A mathematical derivation of size spectra in fish populations. Comptes Rendus Biol 327: 245-254.
6. Barnes C, Bethea DM, Brodeur RD, Spitz J, Ridoux V, Pusineri C, Chase BC, Hunsicker ME, Juanes F, Kellermann A, Lancaster J, Ménard F, Bard F-X, Munk P, Pinnegar JK, Scharf FS, Rountree RA, Stergiou KI, Sassa C, Sabates A, Jennings S (2008) Predator and prey body sizes in marine food webs. Ecology 89: 881.
7. Benoît E, Rochet M-J (2004) A continuous model of biomass size spectra governed by predation and the effects of fishing on them. J Theor Biol 226: 9-21.
8. Blanchard JL (2008) The dynamics of size-structured ecosystems. Ph. D. thesis, University of York.
9. Blanchard JL, Jennings S, Law R, Castle MD, McCloghrie P, Rochet M-J, Benoît E (2009) How does abundance scale with body size in coupled size-structured food webs? J Anim Ecol 78: 270-280.
10. Blanchard JL, Law R, Castle MD, Jennings S (2010) Coupled energy pathways and the resilience of size-structured food webs. Theor Ecol 4: 289-300.
11. Blueweiss L, Fox H, Kudzma V, Nakashima D, Peters R, Sams S (1978) Relationships between body size and some life history parameters. Oecologia 37: 257-272.
12. Boudreau PR, Dickie LM (1992) Biomass spectra of aquatic ecosystems in relation to fisheries yield. Can J Fish Aquat Sci 49: 1528-1538.
13. Brose U, Williams RJ, Martinez ND (2006) Allometric scaling enhances stability in complex food webs. Ecol Lett 9: 1228-1236.
14. Camacho J, Solé RV (2001) Scaling in ecological size spectra. Europhys Lett 55: 774-780.
15. Capitán JA, Delius GW (2010) Scale-invariant model of marine population dynamics. Phys Rev E 81: 061901.
16. Cushing DH (1969) The regularity of the spawning season of some fishes. J Cons Int Explor Mer 33: 81-92.
17. Datta S, Delius GW, Law R (2010) A jump-growth model for predator-prey dynamics: derivation and application to marine ecosystems. Bull Math Biol 72: 1361-1382.
18. Datta S, Delius GW, Law R, Plank MJ (2011) Stability analysis of marine ecosystems using the deterministic jump-growth equation. J Math Biol doi: 10. 1007/s00285-010-0387-z.
19. Dunne JA, Williams RJ, Martinez ND (2002) Network structure and biodiversity loss in food webs: robustness increases with connectance. Ecol Lett 5: 558-567.
20. Emmerson MC, Raffaelli D (2004) Predator-prey body size, interaction strength and the stability of a real food web. J Anim Ecol 73: 399-409.
21. Fenchel T (1974) Intrinsic rate of natural increase: the relationship with body size. Oecologia 14: 317-326.
22. Frank KT, Petrie B, Choi JS, Leggett WC (2005) Trophic cascades in a formerly cod-dominated ecosystem. Science 308: 1621-1623.
23. Gasol JM, Guerro R, Pedrós-Alió C (1991) Seasonal variations in size structure and procaryotic dominance in sulfurous Lake Cisó. Limnol Oceanog 36: 860-872.
24. Gaedke U (1992) The size distribution of plankton biomass in a large lake and its seasonal variability. Limnol Oceanog 37: 1202-1220.
25. Guckenheimer J, and Holmes P (1983) Nonlinear oscillations, dynamical systems and bifurcations of vector fields. Springer, New York.
26. Hartvig M, Andersen KH, Beyer JE (2011) Food web framework for size-structured populations. J Theor Biol 272: 113-122.
27. Heath MR (1995) Size spectrum dynamics and the planktonic ecosystem of Loch Linnhe. ICES J Mar Sci 52: 627-642.
28. Hsieh C-h, Reiss CS, Hunter JR, Beddington JR, May RM, Sugihara G (2006) Fishing elevates variability in the abundance of exploited species. Nature 443: 859-862.
29. Huete-Ortega M, Marañón, E, Varela M, Bode A (2010) General patterns in the size scaling of phytoplankton abundance in coastal waters during a 10-year time series. J Plankton Res 32: 1-14.
30. Jennings S, Pinnegar JK, Polunin NVC, Boon TW (2001) Weak cross-species relationships between body size and trophic level belie powerful size-based trophic structuring in fish communities. J Anim Ecol 70: 934-944.
31. Jennings S, Warr KJ (2003) Smaller predator-prey body size ratios in longer food chains. Proc Roy Soc B 270: 1413-1417.
32. Kerr SR, Dickie LM (2001) The biomass spectrum: a predator-prey theory of aquatic production. Columbia University Press, New York.
33. Knowlton N (2004) Multiple "stable" states and the conservation of marine ecosystems. Prog Oceanogr 60: 387-396.
34. Law R, Plank MJ, James A, Blanchard JL (2009) Size-spectra dynamics from stochastic predation and growth of individuals. Ecology 90: 802-811.
35. Maury O, Faugeras B, Shin Y-J, Poggiale J-C, Ari TB, Marsac F (2007) Modelling environmental effects on the size-structured energy flow through marine ecosystems. Part 1: the model. Prog Oceanogr 74: 479-499.
36. May RM (1972) Will a large complex system be stable. Nature 238: 413-414.
37. McKane AJ, Newman TJ (2005) Predator-prey cycles from resonant amplification of demographic stochasticity. Phys Rev Lett 94: 218102.
38. McKendrick AG (1926) Applications of mathematics to medical problems. Proc Edinb Math Soc 40: 98-130.
39. Neutel A-M, Heesterbeek JAP, de Ruiter PC (2002) Stability in real food webs: weak links in long loops. Science 296: 1120-1123.
40. Pimm SL, Lawton JH (1977) Number of trophic levels in ecological communities. Nature 268: 329-331.
41. Platt T and Denman K (1978) The structure of pelagic marine ecosystems. Rapp P-v Réun Cons Int Explor Mer 173: 60-65.
42. Platt T, Fuentes-Yaco C, Frank KT (2003) Spring algal bloom and larval fish survival. Nature 423: 398-399.
43. Pope JG, Shepherd JG and Webb J (1994) Successful surf-riding on size spectra: the secret of survival in the sea. Phil Trans R Soc B 343: 41-49.
44. Post DM, Pace ML, Hairston NG Jr (2000) Ecosystem size determines food-chain length in lakes. Nature 405: 1047-1049.
45. Post DM (2007) Testing the productive-space hypothesis: rational and power. Oecologia 153: 973-984.
46. Quinones RA, Platt T, Rodríguez J (2003) Patterns of biomass-size spectra from oligotrophic waters of the Northwest Atlantic. Prog Oceanogr 57: 405-427.
47. Rochet M-J and Benoît E (2011) Fishing destabilizes the biomass flow in the marine size spectrum. Proc R Soc B. doi: 10. 1098/rspb. 2011. 0893.
48. San Martin E, Irigoien X, Harris RP, López-Urrutia Á, Zubkov MZ, Heywood JL (2006) Variation in the transfer of energy in marine plankton along a productivity gradient in the Atlantic Ocean. Limnol Oceanogr 51: 2084-2091.
49. Sheldon RW, Parsons TR (1967) A continuous size spectrum for particulate matter in the sea. J Fish Res Board Can 24: 909-915.
50. Sheldon RW, Prakash A, Sutcliffe WH Jr (1972) The size distribution of particles in the ocean. Limnol Oceanogr 17: 327-340.
51. Sheldon RW, Sutcliffe WH Jr, Paranjape MA (1977) Structure of pelagic food chain and relationship between plankton and fish production. J Fish Res Board Can 34: 2344-2353.
52. Silvert W, Platt T (1978) Energy flux in the pelagic ecosystem: a time-dependent equation. Limnol Oceanogr 23: 813-816.
53. Silvert W, Platt T (1980) Dynamic energy-flow model of the particle size distribution in pelagic ecosystems. In: Kerfoot WC (ed) Evolution and ecology of zooplankton communities. University Press of New England, Hanover, pp 754-763.
54. Sterner RW, Bajpai A, Adams T (1997) The enigma of food chain length: absence of theoretical evidence for dynamic constraints. Ecol 78: 2258-2262.
55. Ursin E (1973) On the prey size preferences of cod and dab. Medd Dan Fisk Havunders 7: 85-98.
56. von Foerster H (1959) Some remarks on changing populations. In: Stohlman JF (ed) The kinetics of cellular proliferation. Grune and Stratton, New York, pp 382-407.
57. Ware DM (1978) Bioenergetics of pelagic fish: theoretical change in swimming speed and ration with body size. J Fish Res Board Can 35: 220-228.
58. Zhou M, Huntley ME (1997) Population dynamics theory of plankton based on biomass spectra. Mar Ecol Prog Ser 159: 61-73.
59. Zhou M, Tande KS, Zhu Y, Basedow S (2009) Productivity, trophic levels and size spectra of zooplankton in northern Norwegian shelf regions. Deep Sea Res II 56: 1934-1944.
60. Zhou M, Carlotti F, Zhu Y (2010) A size-spectrum zooplankton closure model for ecosystem modelling J Plankton Res 32: 1147-1165.