Sublethal toxic effects in a simple aquatic food chain

Ecological Modelling

Volumn 212, Issue 3-4, 2008, Pages 304-318

  Kooi, B W ^a   Bontje, D ^a   van Voorn, G A K ^a   Kooijman, S A L M ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Bifurcation analysis; Bioaccumulation; Ecological factors; Ecosystem dynamics; Global bifurcations; Toxicological effects

Indexed keywords

ALGAE; BACTERIA; ECOSYSTEMS; TOXICITY;

BIFURCATION ANALYSIS; ECOSYSTEM DYNAMICS; GLOBAL BIFURCATIONS; TOXICOLOGICAL EFFECTS;

FOOD PRODUCTS;

AQUATIC ECOSYSTEM; BIFURCATION; BIOACCUMULATION; BIOLOGICAL UPTAKE; BIOMASS; COMMUNITY COMPOSITION; COMMUNITY STRUCTURE; COMPLEXITY; ECOSYSTEM DYNAMICS; ECOSYSTEM MODELING; FOOD CHAIN; GROWTH; MASS BALANCE; NUTRIENT CYCLING; PREDATOR; SUBLETHAL EFFECT; TOXICITY;

ALGAE; BACTERIA (MICROORGANISMS); CILIOPHORA; DAPHNIA;

EID: 39649107145     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2007.10.042     Document Type: Article

References (34)

1. Allee W. Animal Aggregations, A Study in General Sociology (1931), The University of Chicago Press, Chicago, IL
2. Baer S.M., Kooi B.W., Kuznetsov Y.A., and Thieme H.R. Multiparametric bifurcation analysis of a basic two stage population model. SIAM J. Appl. Math. 66 4 (2006) 1339-1365
3. Barber M.C. A review and comparison of models for predicting dynamic chemical bioconcentration in fish. Environ. Toxicol. Chem. 22 (2003) 1963-1992
4. Barber M.C., Suárez L.A., and Lassiter R.R. Modeling bioconcentration of nonpolar organic pollutants by fish. Environ. Toxicol. Chem. 7 (1988) 545-558
5. Bazykin A.D. Nonlinear Dynamics of Interacting Populations (1998), World Scientific, Singapore
6. Calow P., Silby R.M., and Forbes V. Risk assessment on the basis of simplified life-history scenarios. Environ. Toxicol. Chem. 16 9 (1997) 1983-1989
7. Campfens J., and MacKay D. Fugacity-based model of PCB bioaccumulation in complex aquatic food webs. Environ. Sci. Technol. 31 (1997) 577-583
8. Clark K.E., Gobas F.A.P.C., and Mackay D. Model of organic chemical uptake and clearance by Fish from food and water. Environ. Sci. Technol. 24 8 (1990) 1203-1213
9. Cunningham A., and Nisbet R.M. Transients and oscillations in continuous culture. In: Bazin M.J. (Ed). Mathematics in Microbiology (1983), Academic Press, London 77-103
10. DeAngelis D.L. Dynamics of Nutrient Cycling and Food Webs, No. 9 in Population and Community Biology Series (1992), Chapman & Hall, London
11. Doedel, E.J., Champneys, A.R., Fairgrieve, T.F., Kuznetsov, Y.A., Sandstede, B., Wang, X., 1997. Auto 97: Continuation and bifurcation software for ordinary differential equations, Tech. rep., Concordia University, Montreal, Canada.
12. Gobas F.A.P.C. A model for predicting the bioaccumulation of hydrophobic organic chemicals in aquatic food-webs: application to Lake Ontario. Ecol. Model. 69 (1992) 1-17
13. Guckenheimer J., and Holmes P. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Vol. 42 of Applied Mathematical Sciences. 2nd ed. (1985), Springer-Verlag, New York
14. Hallam T.G., Canziani G.A., and Lassiter R.R. Sublethal narcosis and population persistence: a modelling study on growth effects. Environ. Toxicol. Chem. 12 (1993) 947-954
15. Hallam T.G., Lassiter R.R., Li J., and McKinney W. Toxicant-induced mortality in models of Daphnia populations. Environ. Toxicol. Chem. 9 (1990) 597-621
16. Kent A., Doncaster C.P., and Sluckin T. Consequences for predators of rescue and allee effects on prey. Ecol. Model. 162 (2003) 233-245
17. Koelmans A., Van der Heijde A., Knijff L., and Aalderink R. Integrated modeling of eutrophication and organic contaminant fate & effects in aquatic ecosystems. A review. Water Res. 35 15 (2001) 3517-3536
18. Kooi B.W. Numerical bifurcation analysis of ecosystems in a spatially homogeneous environment. Acta Biotheor. 51 3 (2003) 189-222
19. Kooi B.W., Boer M.P., and Kooijman S.A.L.M. Consequences of population models on the dynamics of food chains. Math. Biosci. 153 2 (1998) 99-124
20. Kooijman S.A.L.M. Dynamic Energy and Mass Budgets in Biological Systems (2000), Cambridge University Press, Cambridge
21. Kooijman S.A.L.M., and Bedaux J.J.M. The analysis of aquatic toxicity data (1996), VU University Press, Amsterdam
22. Kuznetsov Y.A. Elements of Applied Bifurcation Theory. Vol. 112 of Applied Mathematical Sciences. 3rd ed. (2004), Springer-Verlag, New York
23. Lindenschmidt K.-E. The effect of complexity on parameter sensitivity and model uncertainty in river water quality modelling. Ecol. Model. 190 (2006) 72-86
24. Lindenschmidt K.-E., Fleischbein K., and Baborowski M. Structural uncertainty in a river water quality modelling system. Ecol. Model. 204 3/4 (2007) 289-300
25. Pirt S.J. The maintenance energy of bacteria in growing cultures. Proc. Roy. Soc. Lond. (B) 163 (1965) 224-231
26. Rosenzweig M.L. Paradox of enrichment: destabilization of exploitation ecosystems in ecological time. Science 171 (1971) 385-387
27. Smith H.L., and Waltman P. The Theory of the Chemostat (1994), Cambridge University Press, Cambridge
28. Thomann R.V. Bioaccumulation model of organic distribution in aquatic food chains. Environ. Sci. Technol. (1989) 699-707
29. Thomann R.V., and Connolly J. Model of PCB in the Lake Michigan Lake Trout food chain. Environ. Sci. Technol. 18 2 (1984) 65-71
30. Thomann R.V., and Mueller J.A. Principles of surface water quality modeling and control (1987), Harper & Row, Publ, New York
31. Traas T.P., Janse J.H., Van den Brink P.J., Brock T.C.M., and Aldenberg T. A freshwater food web model for the combined effects of nutrients and insecticide stress and subsequent recovery. Environ. Toxicol. Chem. 23 2 (2004) 521-529
32. Traas T.P., van Wezel A.P., Hermens J.L.M., Zorn M., van Hattum A.G.M., and van Leeuwen C.J. Environmental quality criteria for organic chemicals predicted from internal effect concentrations and a food web model. Environ. Toxicol. Chem. 23 10 (2004) 2518-2527
33. Van Voorn G.A.K., Hemerik L., Boer M.P., and Kooi B.W. Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee effect. Math. Biosci. 209 2 (2007) 451-469
34. Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos. Vol. 2 of Texts in Applied Mathematics (1990), Springer-Verlag, New York