Patterns of abundance and morphology as indicators of ecosystem status: A meta-analysis

Ecological Complexity

Volumn 4, Issue 3, 2007, Pages 128-147

  Halloy, Stephan R P ^a   Barratt, Barbara I P ^b  

^a Conservation International ^*  (Ecuador)

^b INVERMAY AGRICULTURAL CENTRE   (New Zealand)

Author keywords

Complex systems; Disturbance; Environmental indicators; Pattern attractors; Power and lognormal functions

Indexed keywords

EID: 34447259092     PISSN: 1476945X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecocom.2007.04.002     Document Type: Article

References (106)

1. Allen A.P., Li B.-L., and Charnov E.L. Population fluctuations, power laws and mixtures of lognormal distributions. Ecol. Lett. 4 (2001) 1-3
2. Allen R.B., Lee W.G., and Mark A.F. A preliminary assessment of the effects of management on mouse-ear hawkweed (Hieracium pilosella) establishment in narrowleaved snow tussock (Chionochloa rigida) grassland, Lammermoor Range, East Otago. In: Hunter G.G., Mason C.R., and Robertson D.M. (Eds). Workshop of the New Zealand Ecological Society (1991), New Zealand Ecological Society Occasional Publication, Cass Field Station, Canterbury 45-47
3. Arita M. Scale-freeness and biological networks. J. Biochem. 138 (2005) 1-4
4. Bak P. How Nature Works. The Science of Self-organized Criticality (1997), Oxford University Press, Oxford p. 212
5. Barlow N.D. Size distributions of butterfly species and the effect of latitude on species sizes. Oikos 71 (1994) 326-332
6. Barratt B., and Patrick B.H. Insects of snow tussock grassland on the East Otago Plateau. N. Z. Entomol. 10 (1987) 69-98
7. Barratt B.I.P., Derraik J.G.B., Rufaut C.G., Goodman A.J., and Dickinson K.J.M. Morphospecies as a substitute for Coleoptera species identification, and the value of experience in improving accuracy. J. R. Soc. New Zealand 33 (2003) 583-590
8. Bazzaz F.A. Plant species diversity in old-field successional ecosystems in southern Illinois. Ecology 56 (1975) 485-488
9. Belaoussoff S., and Kevan P.G. Toward an ecological approach for the assessment of ecosystem health. Ecosyst. Health 4 (1998) 4-8
10. Belaoussoff S., Kevan P.G., Murphy S., and Swanton C. Assessing tillage disturbance on assemblages of ground beetles (Coleoptera: Carabidae) by using a range of ecological indices. Biodiver. Conserv. 12 (2003) 851-882
11. Biddanda B., Ogdahl M., and Cotner J. Dominance of bacterial metabolism in oligotrophic relative to eutrophic waters. Limnol. Oceanogr. 46 (2001) 730-739
12. Brown J.H. Macroecology (1995), University of Chicago Press, Chicago p. 270
13. Brown J.H., Marquet P.A., and Taper M.L. Evolution of body size: consequences of an energetic definition of fitness. Am. Naturalist 142 (1993) 573-584
14. Brown J.H., Morgan Ernest S.K., Parody J.M., and Haskell J.P. Regulation of diversity: maintenance of species richness in changing environments. Oecologia 126 (2001) 321-332
15. Brown J.H., and Nicoletto P.F. Spatial scaling of species composition: body masses of North American land mammals. Am. Naturalist 138 (1991) 1478-1512
16. Buffier B.D., and Krause M.A. Will your new venture pay?. Aust. New Crops Newslett. 11 (1999) 11-13
17. Burmaster D.E., and Hull D.A. Using lognormal distributions and lognormal probability plots in probabilistic risk assessments. Hum. Ecol. Risk Assessment 3 (1997) 235-255
18. Derraik J.G.B., et al. Arthropod morphospecies versus taxonomic species: a case study with Araneae, Coleoptera, and Lepidoptera. Conserv. Biol. 16 (2002) 1015-1023
19. Derraik J.G.B., Dickinson K.J.M., and Closs G.P. Invertebrate diversity on Olearia bullata and Coprosma propinqua in a modified native shrubland, Otago, New Zealand. N. Z. J. Ecol. 27 (2003) 55-60
20. Drake J.A., Zimmermann C.R., Purucker T., and Rojo C. On the nature of the assembly trajectory. In: Weiher E., and Keddy P. (Eds). Ecological Assembly Rules: Perspectives, Advances, Retreats (1999), Cambridge University Press, Cambridge 233-250
21. Duncan R.P., Webster R.J., and Jensen C.A. Declining plant species richness in the tussock grasslands of Canterbury and Otago, South Island, New Zealand. N. Z. J. Ecol. 25 (2001) 35-47
22. Eisenberg J.F. The density and biomass of tropical mammals. In: Soulé M.E., and Wilcox B.A. (Eds). Conservation Biology. An Evolutionary-Ecological Perspective (1980), Sinauer Associates, Inc., Sunderland, Mass 35-55
23. Enquist B.J., Brown J.H., and West G.B. Allometric scaling of plant energetics and population density. Nature 395 (1998) 163-165
24. Ferguson C.M. Fire in tall-tussock grasslands: the immediate impact on invertebrates. In: Dickinson K.J.M. (Ed). Ecological Research in Low- to Mid-altitude Indigenous Ecosystems of the South Island Rainshadow Region: Conserving Indigenous Biodiversity (2002), Miss E.L. Hellaby Indigenous Grasslands Research Trust, Dunedin, New Zealand 14
25. Ferriere R., and Cazelles B. Universal power laws govern intermittent rarity in communities of interacting species. Ecology 80 (1999) 1505-1521
26. Frontier S. Diversity and structure in aquatic ecosystems. Oceanogr. Marine Biol. Annu. Rev. 23 (1985) 253-312
27. Fukami T., Zimmermann C.R., Russell G.J., and Drake J.A. Self-organized criticality in ecology and evolution. Trends Ecol. Evol. 14 (1999) 321
28. Gaddum J.H. Lognormal distributions. Nature 156 (1945) 463-466
29. Gray J.S. Detecting pollution induced changes in communities using the log-normal distribution of individuals among species. Marine Pollut. Bull. 12 (1981) 173-176
30. Gray J.S. Use and misuse of the log-normal plotting method for detection of effects of pollution - a reply to Shaw et al. (1983). Marine Ecol. - Prog. Ser. 11 (1983) 203-204
31. Gray J.S., and Mirza F.B. A possible method for the detection of pollution induced disturbance on marine benthic communities. Marine Pollut. Bull. 10 (1979) 142-146
32. Grime J.P. Plant Strategies and Vegetation Processes (1979), John Wiley & Sons, Chichester p. 222
33. Grime J.P. Benefits of plant diversity to ecosystems: immediate, filter and founder effects. J. Ecol. 86 (1998) 902-910
34. Hackney J.W., and Durako M.J. Size-frequency patterns in morphometric characteristics of the seagrass Thalassia testudinum reflect environmental variability. Ecol. Indicators 4 (2004) 55-71
35. Hågvar S. Log-normal distribution of dominance as an indicator of stressed soil microarthropods communities?. Acta Zool. Fennica 195 (1994) 71-80
36. Halloy S.R.P. Implications of Morphological Frequency Distributions to Evolution and Management IV International Congress of Systematic and Evolutionary Biology (1990), University of Maryland, College Park 71
37. Halloy S.R.P. Long term trends in the relative abundance of New Zealand agricultural plants. In: Fletcher D.J., and Manly B.F.J. (Eds). Statistics in Ecology and Environmental Monitoring. (1994), Otago University, Dunedin, New Zealand 125-142
38. Halloy S.R.P. Indicadores de perturbación de ecosistemas: especies claves y estructura de biodiversidad. In: Liberman M., and Baied C. (Eds). Desarrollo Sostenible de Ecosistemas de Montaña: Manejo de Areas Frágiles en los Andes. UNU y PL-480 (1997), La Paz, Bolivia 73-81
39. Halloy S.R.P. A theoretical framework for abundance distributions in complex systems. Complex. Int. 6 (1998) 12
40. Halloy S.R.P. The dynamic contribution of new crops to the agricultural economy: is it predictable?. In: Janick J. (Ed). Perspectives on New Crops and New Uses (1999), ASHS Press, Alexandria, Virginia 53-59
41. Halloy S.R.P. Effects on system structure, diversity and stability of the distance exponent in a resource attraction model. Complex. Int. 8 (2001) 18
42. Halloy S.R.P., and Lockwood J.A. Ethical implications of the laws of pattern abundance distribution vol. 7 (2005), E:CO (Emergence: Complexity and Organization) pp. 41-53
43. Halloy S.R.P., and Mark A.F. Comparative leaf morphology spectra of plant communities in New Zealand, the Andes and the European Alps. J. R. Soc. New Zealand 26 (1996) 41-78
44. In: Halloy S.R.P., Seimon A., Sandbu M., and Franco G. (Eds). Estudio Puerto Busch - Opciones para la ubicación de un puerto soberano de Bolivia en el Sistema Paraguay-Paraná (2005), WWF, Earth Institute at Columbia University, New Zealand Institute for Crop and Food Research, Santa Cruz de la Sierra, Bolivia 161
45. Halloy S.R.P., Seimon A., Yager K., and Tupayachi Herrera A. Multidimensional (climate, biodiversity, socio-economics, agriculture) context of changes in land use in the Vilcanota watershed, Peru. In: Spehn E.M., Liberman Cruz M., and Körner C. (Eds). Land Use Changes and Mountain Biodiversity, 2005 (2005), CRC Press LLC, Boca Raton FL, USA 323-337
46. Halloy S.R.P., and Whigham P.A. The lognormal as universal descriptor of unconstrained complex systems: a unifying theory for complexity. In: Stonier R., Qing-Long H., and Wei L. (Eds). Proceedings of the 7th Asia-Pacific Complex Systems Conference (2004), Cairns Convention Centre, Cairns, QLD, Australia 309-320
47. Harmsen R. Abundance distribution and the evolution of community structure. Evol. Theory 6 (1983) 283-292
48. In: Hazewinkel M. (Ed). Encyclopedia of Mathematics (1995), Kluwer Academic Publishers, Dordrecht, The Netherlands
49. Hemmingsen A.M. Statistical analysis of the differences in body-size of related species. Danske Vidensk. Selsk. Medd. 98 (1934) 125-160
50. Hill J.K., Hamer K., Lace L.A., and Banham W.M.T. Effects of selective logging on tropical forest butterflies on Buru, Indonesia. J. Appl. Ecol. 32 (1995) 754-760
51. Hill J.K., and Hamer K.C. Using species abundance models as indicators of habitat disturbance in tropical forests. J. Appl. Ecol. 35 (1998) 458-460
52. Hubbell S.P. Towards a theory of biodiversity and biogeography on continuous landscapes. In: Carmichael G.R., Folk G.E., and Schnoor J.L. (Eds). Preparing for Global Change: A Midwestern Perspective (1995), SPB Academic Publishing, Amsterdam 171-199
53. Hubbell S.P. The Unified Neutral Theory of Biodiversity and Biogeography vol. 32 (2001), Princeton University Press, Princeton, New Jersey 375
54. Hughes R.G. Theories and models of species abundance. Am. Naturalist 128 (1986) 879-899
55. Hutchinson G.E. The concept of pattern in ecology. Proceedings of the Academy of Natural Sciences of Philadelphia, vol. 105 (1953) 1-12
56. Hutchinson G.E., and MacArthur R. A theoretical ecological model of size distributions among species of animals. Am. Naturalist 93 (1959) 117-126
57. Jones K.E., and Purvis A. An optimum body size for mammals - comparative evidence from bats. Funct. Ecol. 11 (1997) 751-756
58. Karr J.R., and Chu E.W. Restoring Life in Running Waters - Better Biological Monitoring (1998), Island Press p. 206
59. Kevan P.G. Pollinators as bioindicators of the state of the environment: species, activity and diversity. Agric. Ecosyst Environ. 74 (1999) 373-393
60. Kevan P.G., Greco C.F., and Belaousoff S. Log-normality of biodiversity and abundance in diagnosis and measuring of ecosystemic health: pesticide stress on pollinators on blueberry heaths. J. Appl. Ecol. 34 (1997) 1122-1136
61. Li B.-L. Criticality, self-organized. In: El-Shaarawi A.H., and Piegorsch W.W. (Eds). Encyclopedia of Environmetrics (2002), John Wiley & Sons, Chichester 447-450
62. Li B.-L., Gorshkov V.G., and Makarieva A.M. Energy partitioning between different-sized organisms and ecosystem stability. Ecology 85 (2004) 1811-1813
63. Li W. Zipf's Law (2001), Rockefeller University, New York
64. Li W.K.W. Macroecological patterns of phytoplankton in the northwestern North Atlantic Ocean. Nature 419 (2002) 154-157
65. Limpert E., Stahel W.A., and Abbt M. Log-normal distributions across the sciences: keys and clues. BioScience 51 (2001) 341-352
66. Loder N., Blackburn T.M., and Gaston K.J. The slippery slope: towards an understanding of the body size frequency distribution. Oikos 78 (1997) 195-201
67. MacArthur R.H. On the relative abundance of bird species. Proceedings National Academy of Science USA, vol. 43 (1957) 293-295
68. MacArthur R.H. On the relative abundance of species. Am. Naturalist 94 (1960) 25-36
69. Magurran A.E. The diversity of Macrolepidoptera in two contrasting woodland habitats at Banagher, Northern Ireland. Proceedings Royal Irish Academy, vol. 85B (1985) 121-132
70. Magurran A.E. Ecological Diversity and its Measurement (1988), Princeton University Press, Princeton, New Jersey
71. Magurran A.E. Measuring Biological Diversity (2004), Blackwell Publishing, Oxford p. 256
72. Makarieva A.M., Gorshkov V.G., and Li B.-L. Body size, energy consumption and allometric scaling: a new dimension in the diversity-stability debate. Ecol. Complex. 1 (2004) 139-175
73. Makarieva A.M., Gorshkov V.G., and Li B.-L. Energetics of the smallest: do bacteria breathe at the same rate as whales?. Proceedings of the Royal Society of London - Series B: Biological Sciences, vol. 272 (2005) 2219-2224
74. Makarieva A.M., Gorshkov V.G., and Li B.-L. Why do population density and inverse home range scale differently with body size? Implications for ecosystem stability. Ecol. Complex. 2 (2005) 259-271
75. Mandelbrot B.B. The Fractal Geometry of Nature (1983), W.H. Freeman & Co., San Francisco p. 468
76. Mark A.F., and Dickinson K.J.M. Temporal responses over 30 years to removal of grazing from a mid-altitude snow tussock grassland reserve, Lammerlaw Ecological Region, New Zealand. N. Z. J. Bot. 41 (2003) 655-667
77. May R.M. Patterns of species abundance and diversity. In: Cody M.L., and Diamond J.M. (Eds). Ecology and Evolution of Communities (1975), Harvard University Press, Cambridge, Mass 81-120
78. May R.M. Patterns in multi-species communities. In: May R.M. (Ed). Theoretical Ecology, Principles and Applications (1981), Blackwell Scientific Publications, London 197-227
79. McCann K., Hastings A., and Huxel G.R. Weak trophic interactions and the balance of nature. Nature 395 (1998) 795-798
80. Mitchell, R., 2005. Establishing evaluation criteria for assessing ecosystem restoration success by quantifying natural variability baselines of reference systems, using New Zealand case studies. PhD Thesis. University of Canterbury, Christchurch, 200 pp.
81. Mitzenmacher M. A brief history of generative models for power law and lognormal distributions. Internet Math. 1 (2004) 226-251
82. Nelson W.G. An evaluation of deviation from the log-normal distribution among species as a pollution indicator in marine benthic communities. J. Exp. Marine Biol. Ecol. 113 (1987) 181-206
83. Newman, M.E.J., 2005. Power Laws, Pareto Distributions and Zipf's Law.
84. Newman M.E.J., and Eble G.J. Power spectra of extinction in the fossil record. Proceedings of the Royal Society of London - Series B: Biological Sciences, vol. 266 (1999) 1267-1270
85. Nobuhara H., and Numata N. Essentials of the law of geometrical progression - studies on the fundamental structure of biological populations III. Bull. Soc. Plant Ecol. (Jpn.) 3 (1954) 180-185
86. Novotny V., and Kindlmann P. Distribution of body sizes in arthropod taxa and communities. Oikos 75 (1996) 75-82
87. Nummelin M. Log-normal distribution of species abundances is not a universal indicator of rain forest disturbance. J. Appl. Ecol. 35 (1998) 454-457
88. Patrick R. Structure of the diatom community. Proceedings of the National Academy of Sciences of the USA, vol. 58 (1967) 1335-1362
89. Patrick R., Hohn M.H., and Wallace J.H. A new method for determining the pattern of the diatom flora. Notulae Naturae, The Academy of Natural Sciences of Philadelphia 259 (1954) pp. 1-12
90. Perline R. Strong, weak and false inverse power laws. Statist. Sci. 20 (2005) 68-88
91. Preston F.W. The commonness, and rarity, of species. Ecology 29 (1948) 254-283
92. Preston F.W. Gas laws and wealth laws. Scientific Monthly 71 (1950) 309-311
93. Preston F.W. The canonical distribution of commonness and rarity. Ecology 43 185-215 (1962) 410-432
94. Preston F.W. Noncanonical distributions of commonness and rarity. Ecology 61 (1980) 88-97
95. Raunkiaer C. The Life Form of Plants and Statistical Plant Geography (1934), Clarendon Press, Oxford
96. Shaw K.M., Lambshead P.J.D., and Platt H.M. Detection of pollution-induced disturbance in marine benthic assemblages with special reference to nematodes. Marine Ecol. - Prog. Ser. 11 (1983) 195-202
97. Solé R.V., Manrubia S.C., Benton M., and Bak P. Self-similarity of extinction statistics in the fossil record. Nature 388 (1997) 764-767
98. Solé R.V., Manrubia S.C., Benton M., Kauffman S., and Bak P. Reply from R.V. Solé, S.C. Manrubia, M.J. Benton, S. Kauffman and P. Bak. Trends Ecol. Evol. 14 (1999) 321
99. Stanley M.H.R., et al. Zipf plots and the size distribution of firms. Econ. Lett. 49 (1995) 453-457
100. Sugihara G. Minimal community structure: an explanation of species abundance patterns. Am. Naturalist 116 (1980) 770-787
101. Tilman D. Biodiversity: population versus ecosystem stability. Ecology 77 (1996) 350-363
102. West G.B., Brown J.H., and Enquist B.J. A general model for the origin of allometric scaling laws in biology. Science 276 (1997) 122-126
103. White P.S., and Jentsch A. The search for generality in studies of disturbance and ecosystem dynamics. In: Esser K L.U., Kadereit J.W., and Beyschlag W. (Eds). Progress In Botany (2001), Springer, Berlin, Heidelberg 399-450
104. Wilson B.J., Gitay H., Steel J.B., and King W.M. Relative abundance distributions in plant communities: effects of species richness and of spatial scale. J. Veg. Sci. 9 (1998) 213-220
105. Witting L. Body mass allometries caused by physiological or ecological constraints. Trends Ecol. Evol. 13 (1998) 25
106. Zipf G.K. Human Behavior and the Principle of Least Effort - An Introduction to Human Ecology (1949), Addison-Wesley. Reprinted in 1965 by Hafner Publishing Company, Cambridge, Mass