Research communications research communications Using SiZer to detect thresholds in ecological data

Frontiers in Ecology and the Environment

Volumn 7, Issue 4, 2009, Pages 190-195

  Sonderegger, Derek L ^a   Wang, Haonan ^a   Clements, William H ^a   Noon, Barry R ^a  

^a Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION; DETECTION METHOD; ECOSYSTEM MANAGEMENT; ENVIRONMENTAL CONDITIONS; ENVIRONMENTAL MODELING; RESEARCH; SMOOTHING; THRESHOLD;

EID: 69249119503     PISSN: 15409295     EISSN: 15409309     Source Type: Journal    
DOI: 10.1890/070179     Document Type: Article

References (31)

1. Barrowman NJ and Myers RA. 2000. Still more spawner-recruitment curves; the hockey stick and its generalizations. Can J Fish Aquat Sci 57: 665-76.
2. Burnham KP and Anderson DR. 2002. Model selection and multimodel inference: a practical information-theoretic approach, 2nd edn. New York, NY: Springer-Verlag.
3. Carpenter SR. 2001. Alternative states of ecosystems: evidence and its implications for environmental decisions. In: Press MC, Huntley NJ, and Levin S (Eds). Ecology: achievement and challenge. Cornwall, UK: Cambridge University Press.
4. Chaudhuri P and Marron JS. 1999. SiZer for exploration of structures in curves. J Am Stat Assoc 94: 807-23.
5. Chaudhuri P and Marron JS. 2000. Scale space view of curve estimation. Ann Stat 28: 408-28.
6. Chiu GS, Lockhart R, and Routledge R. 2006. Bent-cable regression theory and applications. J Am Stat Assoc 101: 542-53.
7. Clements WH. 2004. Small-scale experiments support causal relationships between metal contamination and macroinvertebrate community responses. Ecol Appl 14: 954-67.
8. Cleveland WS and Devlin SJ. 1988. Locally weighted regression: an approach to regression analysis by local fitting. J Am Stat Assoc 83: 596-610.
9. Connell JH and Sousa WP. 1983. On the evidence needed to judge ecological stability or persistence. Am Nat 121: 789-824.
10. Estes JA and Duggins DO. 1995. Sea otters and kelp forests in Alaska: generality and variation in a community ecological paradigm. Ecol Monogr 65: 75-100.
11. Fan J and Gijbels I. 1995. Data-driven bandwidth selection in local polynomial fitting - variable bandwidth and spatial adaptation. J Roy Stat Soc B Met 57: 371-94.
12. Fan J and Gijbels I. 1996. Local polynomial modeling and its applications. London, UK: Chapman and Hall.
13. Folke C, Carpenter S, Elmqvist T, et al. 2002. Resilience and sustainable development: building adaptive capacity in a world of transformations. Ambio 31: 437-40.
14. Godtliebsen F, Marron JS, and Chaudhuri P. 2002. Significance in scale space for bivariate density estimation. J Comput Graph Stat 11: 1-21.
15. Green PJ and Silverman BW. 1993. Nonparametric regression and generalized linear models: a roughness penalty approach. New York, NY: Chapman and Hall.
16. Groffman PM, Baron JS, Blett T, et al. 2006. Ecological thresholds: the key to successful environmental management or an important concept with no practical application? Ecosystems 9: 1-13.
17. Hannig J and Marron JS. 2006. Advanced distribution theory for SiZer. J Am Stat Assoc 101: 484-99.
18. Hengartner NW, Wegkamp MW, and Matzer-Lober E. 2002. Bandwidth selection for local linear regression smoothers. J Roy Stat Soc B Met 64: 791-804.
19. Holling H. 1986. A classification of trivariate regression-models. Biometrical J 28: 783-90.
20. Knowlton N. 1992. Thresholds and multiple stable states in coralreef community dynamics. Am Zool 32: 674-82.
21. Kutner MH, Nachtsheim CJ, Neter J, and Li W. 2005. Applied linear statistical models, 5th edn. New York, NY: McGraw-Hill/Irwin.
22. Loader C. 1999. Local regression and likelihood. New York, NY: Springer-Verlag.
23. May RM. 1977. Thresholds and breakpoints in ecosystems with a multiplicity of stable states. Nature 269: 471-77.
24. Muraian R. 2001. Ecological thresholds: a survey. Ecol Econ 38: 7-24.
25. Ruppert D, Sheather SJ, and Wand MP. 1995. An effective bandwidth selector for local least squares regression. J Am Stat Assoc 90: 1257-70.
26. Scheffer M and Carpenter SR. 2003. Catastrophic regime shifts in ecosystems: linking theory to observation. Trends Ecol Evol 18: 648-56.
27. Scheffer M, Straile D, van Nes EH, and Hosper H. 2001. Climatic warming causes regime shifts in lake food webs. Limnol Oceanogr 46: 1780-83.
28. Seber GAF and Wild CJ. 1989. Nonlinear regression. New York, NY: John Wiley and Sons.
29. Toms JD and Lesperance ML. 2003. Piecewise regression: a tool for identifying ecological thresholds. Ecology 84: 2034-41.
30. van Nes EH, Scheffer M, van den Berg MS, and Coops H. 2002. Dominance of charophytes in eutrophic shallow lakes - when should we expect it to be an alternative stable state? Aquat Bot 72: 275-96.
31. Wahba G. 1975. Smoothing noisy data with spline functions. Numer Math 24: 383-93.