A nonparametric method for the measurement of size diversity with emphasis on data standardization

Limnology and Oceanography: Methods

Volumn 6, Issue JAN, 2008, Pages 75-86

  Quintana, Xavier D ^a   Brucet, Sandra ^a,b   Boix, Dani ^a   López Flores, Rocío ^a   Gascón, Stéphanie ^a   Badosa, Anna ^a   Sala, Jordi ^a   Moreno Amich, Ramon ^a   Egozcue, Juan J ^c  

^a UNIVERSITY OF GIRONA   (Spain)

^b NATIONAL ENVIRONMENTAL RESEARCH INSTITUTE   (Denmark)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44649191762     PISSN: 15415856     EISSN: 15415856     Source Type: Journal    
DOI: 10.4319/lom.2008.6.75     Document Type: Article

References (79)

1. Aitchison, J. (1986). The statistical analysis of compositional data. Chapman & Hall.
2. Aoki, I., and T. Mizushima. (2001). Biomass diversity and stability of food webs in aquatic ecosystems. Ecol. Res. 16: 65-71.
3. Armsby, M., and N. Tisch. (2006). Intraguild predation and cannibalism in a size-structured community of marine amphipods. J. Exp. Mar. Biol. Ecol. 333(2):286-295.
4. Armstrong, R. A. (2003). A hybrid spectral representation of phytoplankton growth and zooplankton response: The "control rod" model of plankton interaction. Deep Sea Res. II 50:2895-2916.
5. Badosa, A., D. Boix, S. Bruect, R. López-Flores, S. Gascón and X. D. Quintana. (2007). Zooplankton taxonomie and size diversity in Mediterranean coastal lagoons (NE Iberian Peninsula): Influence of hydrology, nutrient composition, food resource availability and prédation. Estuar. Coast. Shelf Sci. 71:335-346.
6. Basset, A., F. Sangiorgio, and M. Pinna. (2004). Monitoring with benthic macroinvertebrates: advantages and disadvantages of body size descriptors. Aquat. Conserv. Mar. Freshw. Ecosys. 14:43-58.
7. Blanco, J. M., F. Echevarría, and C. M. Garcia. (1994). Dealing with size spectra: some conceptual and mathematical problems. Sci. Mar. 58(1-2):17-29.
8. Boix, D., J. Sala, X. D. Quintana, and R. Moreno-Amich. (2004). Succession of the animal community in a Mediterranean temporary pond. J. North Am. Benthol. Soc. 23(1): 29-49.
9. Bowman, A. W., and A. Azzalini. (1997). Applied smoothing techniques for data analysis: the kernel approach with S-plus illustration. Oxford Univ. Press.
10. Brown, J. H. (1995). Macroecology. Univ. of Chicago Press.
11. Bruect, S., D. Boix, R. López-Flores, A. Badosa, R. MorenoAmich, and X. D. Quintana. (2005). Zooplankton structure and dynamics in permanent and temporary Mediterranean salt marshes: taxon-based and size-based approaches. Arch. Hydrobiol. 162:535-555.
12. _, _, _, _, and X. D. Quintana. (2006).
13. Size and species diversity of zooplankton communities in fluctuating Mediterranean salt marshes. Estuar. Coast. Shelf Sci. 67(3):424-432.
14. Cohen, J. E., and others. (1993). Improving food webs. Ecology 74:252-258.
15. _., T. Jonsson, and S. R. Carpenter (2003). Ecological community description using the food web, species abundance, and body size. Proc. Nat. Acad. Sci. 100(4): 1781-1786.
16. Dickie, L. M., S. R. Kerr, and P. R. Boudreau. (1987). Sizedependent processes underlying regularities in ecosystem structure. Ecol. Monogr. 57(3):233-250.
17. Duplisea, D. E. (2000). Benthic organism biomass size-spectra in the Baltic Sea in relation to the sediment environment. Limnol. Oceanogr. 45(3):558-568.
18. Gaedke, U. (1992). The size distribution of plankton biomass in a large lake and its seasonal variability. Limnol. Oceanogr. 37(6):1202-1220.
19. _. (1995). A comparison of whole-community and ecosystem approaches (biomass size distributions, food web analysis, network analysis, simulation models) to study the structure, function and regulation of pelagic food webs. J. Plank. Res. 17:1273-1305.
20. Gascón, S., D. Boix, J. Sala, and X. D. Quintana. (2005). Variability of benthic assemblages in relation to the hydrological pattern in Mediterranean salt marshes (Empordà wetlands, NE Iberian Peninsula). Arch. Hydrobiol. 163: 163-181.
21. Gasöl, J. M., and P. A. Del Giorgio. (2000). Using flow cytometry for counting natural planktonic bacteria and understanding the structure of planktonic bacterial communities. Sci. Mar. 64:197-224.
22. _, R. Guerrero, and C. Pedrós-Alió. (1991). Seasonal variations in size structure and procaryotic dominance in sulfurous lake Cisó. Limnol. Oceanogr. 36(5):860-872.
23. Good, I. J. (1953). The population frequencies of species and the estimation of population parameters. Biometrika 40: 237-264.
24. Gophen, M. (1977). Food and feeding habits of Mesocyclops leuckarti (Claus) in Lake Kinneret (Israel). Freshw. Biol. 7: 513-518.
25. Han, B. P. (1998). On the diversity of trophic structures and processes in ecosystems. Ecol. Model. 107:51-62.
26. _ and M. Straskraba. (1998). Size dependence of biomass spectra and population density. I. The effects of size scales and size intervals. J. Theor. Biol. 191:259-265.
27. Hansen, B., P. K. Bjornsen, and P. J. Hansen. (1994). The size ratio between planktonic predators and their prey. Limnol. Oceanogr. 39(2):395-403.
28. Harrison, W. G. and L. J. E. Wood. (1988). Inorganic nitrogen uptake by marine picoplankton: Evidence for size partitioning. Limnol. Oceanogr. 33(3):468-475.
29. Havlicek, T. D., and S. R. Carpenter. (2001). Pelagic species size distributions in lakes: are they discontinuous? Limnol. Oceanogr. 46(5):1021-1033.
30. Hooper, D. U., and others. (2002). Species diversity, functional diversity, and ecosystem functioning, p. 195-181. In M. Loreau, S. Naeem, and P. Inchausti [eds.], Biodiversity and ecosystem functioning: synthesis and perspectives. Oxford Univ. Press.
31. Hopcroft, R. R., J. C. Roff and F. P. Chavez. (2001). Size paradigms in copepod communities: a re-examination. Hydrobiologia 453/454:133-141.
32. _, _, and D. Lombard. (1998). Production of tropical copepods in Kingston Harbour, Jamaica: the importance of small species. Mar. Biol. 130(4):593-604.
33. Hulot, F. D., G. Lacroix, F. Lescher-Moutoué, and M. Loreau. (2000). Functional diversity governs ecosystem response to nutrient enrichment. Nature 405:340-344.
34. Ichinokawa, M., and M. M. Takahashi. (2006). Size-dependent carbon flow in the epipelagic food web of the Western Equatorial Pacific. Mar. Ecol. Progr. Ser. 313:13-26.
35. Irwin, A. J., Z. V. Finkel, O. M. E. Schofield, and P. G. Falkowski. (2006). Scaling-up from nutrient physiology to the size-structure of phytoplankton communities. J. Plank. Res. 28(5): 459-471.
36. Johnson, O. (2004). Information theory and the central limit theorem. Imperial College Press.
37. Kerr, S. R., and L. M. Dickie. (2001). The biomass spectrum: a predator prey theory of aquatic production. Columbia University Press.
38. Li, W. K. W. (1997). Cytometric diversity in marine ultraphytoplankton. Limnol. Oceanogr. 42(5):874-880.
39. López-Flores, R., D. Boix, A. Badosa, S. Bruèet, and X. D. Quintana. (2006). Pigment composition and size distribution of phytoplankton in a confined Mediterranean salt marsh ecosystem. Mar. Biol. 149:1313-1324.
40. Lurie, D., and J. Wagensberg. (1983). On biomass diversity in ecology. Bull. Math. Biol. 45(2):287-293.
41. _ and_. (1984). An extremal principle for biomass diversity in ecology, p. 257-271. In I. Lamprecht and A. Zotin, [eds.], Thermodynamics and regulation of biological processes. Walter de Gruyter.
42. Malone, T. C. (1980). Algal size and phytoplankton ecology, p. 433-464. In I. Morris, [ed.], Physiological ecology of phytoplankton. Blackwell.
43. Margalef, R. (1991). Teoría de los sistemas ecológicos. Publications Universitat de Barcelona.
44. Marquet, P. A., R. A. Quiñones, S. Abades, F. Labra, M. Tognelli, M. Arim, and M. Rivadeneira. (2005). Scaling and power-laws in ecological systems. J. Exp. Biol. 208:1749-1769.
45. McQueen, D. J., J. R. Post, and E. L. Mills. (1986). Trophic relationships in freshwater pelagic ecosystems. Can. J. Fish. Aquat. Sci. 43(8):1571-1581.
46. Mittelbach, G. G. (1981). Patterns of invertebrate size and abundance in aquatic habitats. Can. J. Fish. Aquat. Sci. 38: 896-904.
47. Mullin, M. M., and E. R. Brooks. (1967). Laboratory culture, growth rate, and feeding behaviour of a planktonic marine copepod. Limnol. Oceanogr. 12(4):657-666.
48. Oindo, B. O., A. K. Skidmore, and H. T. Prins. (2001). Body size and abundance relationship: an index of diversity for herbivores. Biodivers. Conserv. 10:1923-1931.
49. Paffenhöfer, G. A. (1971). Grazing and ingestion rates of nauplii, copepodids and adults of the marine planktonic copepod Calanus helgolandicus. Mar. Biol. 11(3):286-298.
50. Parsons, T. R. (1969). The use of particle size spectra in determining the structure of plankton community. J. Oceanogr. Soc. Japan 25:172-181.
51. Pawlowsky-Glahn, V., and J. J. Egozcue. (2001). Geometric approach to statistical analysis on the simplex. Stoch. Environ. Res. Risk Assess. 15(5):384-398.
52. Petchey, O. L., and K. J. Gaston. (2002). Functional diversity (FD), species richness and community composition. Ecol. Lett. 5(3):402-411.
53. Pianka, E. R. (1974). Evolutionary ecology. Harper and Row.
54. Pielou, E. C. (1969). An introduction to mathematical ecology. Wiley-Interscience.
55. Piontkovski, S., and S. van der Spoel. (1998). Similarities in size, in taxonomie, and in ecological mesoscale structure of tropical zooplankton communities, p. 297-306. In A. C. Pierrot-Bults and S. van der Spoel [eds.], Pelagic biogeographyICoPB II, Proceedings of the 2nd international conference IOC/UNESCO. UNESCO, Paris.
56. Platt, T., and K. Denman. (1977). Organisation in the pelagic ecosystem. Helgoländer Wissenschaftliche Meeresuntersuchungen 30:575-581.
57. _, M. Lewis, and R. Geider. (1984). Thermodynamics of the pelagic ecosystem: Elementary closure condition for biological production in the open ocean, p. 49-84. In M. J. R. Fashham [ed.], Flows for energy and materials in marine ecosystems. NATO Conference Series. IV Marine Sciences 13. Plenum Press.
58. Poulet, S. A. (1977). Grazing of marine copepod development stages on naturally occurring particles. J. Fish. Res. Board Can. 34:2381-2387.
59. Quiñones, R. A. (1994). A comment on the use of allometry in the study of pelagic ecosystem processes. Sci. Mar. 58(1-2): 11-16.
60. Quintana, X. D., F. A. Comin, and R. Moreno-Amich. (2002). Biomass-size spectra in aquatic communities in shallow fluctuating Mediterranean salt marshes (Empordà wetlands, NE Spain). J. Plank. Res. 24(11):1149-1161.
61. Quiroga, E., R. Quiñones, M. Palma, J. Sellanes, V. A. Gallardo, D. Gerdes, and G. Rowe. (2005). Biomass size-spectra of macrobenthic communities in the oxygen minimum zone of Chile. Estuar. Coast. Shelf Sci. 62:217-231.
62. Rasmussen, J. B. (1993). Patterns in the size structure of littoral zone macroinvertebrate communities. Can. J. Fish. Aquat. Sci. 50(10):2192-2207.
63. Robert, C. P., and G. Casella. (2000). Monte Carlo statistical methods. Springer.
64. Rodriguez, J. (1994). Some comments on the size-based structural analysis of the pelagic ecosystem. Sci. Mar. 58(1-2): 1-10.
65. _, F. Jiménez, B. Bautista, and V. Rodríguez. (1987). Planktonic biomass spectra dynamics during a winter production pulse in Mediterranean coastal waters. J. Plank. Res. 9(6): 1183-1194.
66. _ and W. K. W. Li. (1994). The size structure and metabolism of the pelagic ecosystem. Consejo Superior de Investigaciones Científicas and Institut de Ciències del Mar.
67. _ and M. M. Mullin (1986). Relation between biomass and body weight of plankton in a steady state oceanic ecosystem. Limnol. Oceanogr. 31(2):361-370.
68. Rohatgi, V. K. (1976). An introduction to probability theory and mathematical statistics. Wiley.
69. Ruiz, J. (1994). The measurement of size diversity in the pelagic ecosystem. Sci. Mar. 58(1-2):103-107.
70. _, L. Prieto, and F. Ortegón. (2002). Diatom aggregate formation and fluxes: a modeling analysis under different sizeresolution schemes and with empirically determined aggregation kernels. Deep-Sea Res. I 49(3):495-515.
71. Schwinghamer, P. (1981). Characteristic size distributions of integral benthic communities. Can. J. Fish. Aquat. Sci. 38: 1255-1263.
72. Shannon, C. E., and W. Weaver. (1949). The mathematical theory of communication. Univ. of Illinois Press.
73. Silverman, B. W. (1986). Density estimation for statistics and data analysis. Chapman & Hall.
74. Strayer, D. L. (1991). Perspectives on the size structure of lacustrine zoobenthos, its causes, and its consequences. J. North Am. Benthol. Soc. 10(2):210-221.
75. Thiebaux, M. L., and L. M. Dickie. (1993). Structure of the body-size spectrum of the biomass in aquatic ecosystems: a consequence of allometry in predator-prey interactions. Can. J. Fish. Aquat. Sci. 50(6):1308-1317.
76. Vidondo, B., Y. T. Prairie, J. M. Blanco, and C. M. Duarte. (1997). Some aspects of the analysis of size spectra in aquatic ecology. Limnol. Oceanogr. 42(1):184-192.
77. Weithoff, G., N. Walz, and U. Gaedke. (2001). The intermediate disturbance hypothesis-species diversity or functional diversity? J. Plank. Res. 23(10):1147-1155.
78. Werner, E. E., and J. F. Gilliam. (1984). The ontogenetic niche and species interactions in size-structured populations. Ann. Rev. Ecol. System. 15:393-425.
79. Yodzis, P. (1993). Environment and trophodiversity, p. 26-38. In R. E. Ricklefs and D. Schluter [eds.], Species diversity in ecological communities. Univ. of Chicago Press.