Abstract
Ulrich and Buszko (2005, Biodivers Conserv 14:1977–1988) have recently applied the species–area relationship (SAR) to find butterfly hotspots in Europe using the linearized power function. They found that, with this method, despite the fact that the larger southern European countries and the Asian part of Turkey belong to the group of ecological hotspots defined by Myers et al. (2000, Nature 403:853–858), the SAR was unable to separate these countries from others. However, this result was a consequence of a poor fit. When different fitting models are compared, there is no obvious reason to prefer the linearized power function model, while a curvilinear fit to the power function should be selected as a best fit for this data set. Using this fit, two large southern European countries (Italy and Greece) and the Asian part of Turkey are identified as hotspots by the SAR. This simple exercise illustrates how an inappropriate choice of the fitting equation for the SAR may lead to inconsistent results.
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References
Cobolli M, Ketmaier V, Lucarelli M (1997) Ricerche sulla Valle Peligna (Italia Centrale, Abruzzo). 14. Lepidoptera Papilionoidea e Hesperoidea (Insecta). In: Osella BG, Biondi M, Di Marco C, Riti M (eds) Ricerche sulla Valle Peligna. Quaderni di provinciaoggi, 23 (I). Amministrazione provinciale de Lȁ9Aquila. Graphicpress, Lȁ9Aquila, pp 255–282
Connor EF, McCoy ED (1979) The statistics and biology of the species–area relationship. Am Nat 113:791–833
Diamond JM (1972) Biogeographic kinetics: estimation of relaxation times for avifaunas of Southwest Pacific Islands. Proc Nat Acad Sci USA 69:3199–3203
Fattorini S (2002a) Biogeography of the tenebrionid beetles (Coleoptera, Tenebrionidae) on the Aegean Islands (Greece). J Biogeogr 29:49–67
Fattorini S (2002b) Relict versus dynamic models for tenebrionid beetles of Aegean Islands (Greece) (Coleoptera: Tenebrionidae). Belgian J Zool 132:55–64
Fattorini S (2005) A simple method to fit geometric series and broken stick models in community ecology and island biogeography. Acta Oecol 28:199–205
Ferguson RI (1986) River loads underestimated by rating curves. Water Resour Res 22:74–76
Gould SJ (1979) An allometric interpretation of species–area curves: the meaning of the coefficient. Am Nat 114:335–343
Harte J, Kinzig A, Green J (1999a) Self-similarity in the distribution and abundance of species. Science 284:334–336
Harte J, Kinzig A, Green J (1999b) Response. Science 284:334–336
He F, Legendre P (1996) On species–area relations. Am Nat 148:719–737
He F, Legendre P (2002) Species diversity patterns derived from species–area models. Ecology 83:1185–1198
Hobohm C (2003) Characterization and ranking of biodiversity hotspots: centres of species richness and endemism. Biodiv Conserv 12:279–287
Keeley JE (2003) Relating species abundance distributions to species–area curves in two Mediterranean-type shrublands. Diversity Distrib 9:253–259
Loehle C (1990) Proper statistical treatment of species–area data. Oikos 57:143–145
Maddux RD, Athreya K (1999) On the distribution and abundance of species. Science 286:1647
May RM (1975) Patterns of species abundance and diversity. In: Cody ML, Diamond JM (eds) Ecology and evolution of communities. Harvard University Press, Cambridge, pp 81–120
Myers N, Mittermeier RA, Mittermeier CG, da Fonseca GAB, Kent J (2000) Biodiversity hotspots for conservation priorities. Nature 403:853–858
Plotkin JB, Potts MD, Yu DW, Bunyavejchewin S, Condit R, Foster R, Hubbell S, LaFrankie J, Manokaran N, Seng LH, Sukumar R, Nowak MA, Ashton PS (2000) Predicting species diversity in tropical forests. Proc Nat Acad Sci USA 97:10850–10854
Preston RW (1948) The commonness, and rarity, of species. Ecology 29:254–283
Preston RW (1962) The canonical distribution of commonness and rarity: Part I. Ecology 43:185–215
Quinn GP, Keough MJ (2002) Experimental design and data analysis for biologists. Cambridge University Press, Cambridge
Ricklefs RE, Lovette IJ (1999) The roles of island area per se and habitat diversity in the species–area relationships of four Lesser Antillean faunal groups. J Animal Ecol 68:1142–1160
Russell JC, Clout MN, McArdle BH (2004) Island biogeography and the species richness of introduced mammals on New Zealand offshore islands. J Biogeogr 31:653–664
Šizling AL, Storch D (2004) Power-law species–area relationships and self-similar species distributions within finite areas. Ecol Letters 7:60–68
Storch D, Šizling AL, Gaston KJ (2003) Geometry of the species–area relationship in central European birds: testing the mechanism. J Animal Ecol 72:509–519
Sugihara G (1981) S = CAz, z ≅ 1/4: a reply to Connor and McCoy. Am Nat 117:790–793
Tjørve E (2003) Shapes and functions of species–area curves: a review of possible models. J Biogeogr 30:827–835
Turner WR, Tjørve E (2005) Scale-dependence in species–area relationships. Ecography 28:1–10
Ulrich W, Buszko J (2003a) Self-similarity and the species-area relation of Polish butterflies. Basic Appl Ecol 4:263–270
Ulrich W, Buszko J (2003b) Species-area relationships of butterfiles in Europe and species richness forecasting. Ecography 26:365–373
Ulrich W, Buszko J (2004) Habitat reduction and patterns of species loss. Basic Appl Ecol 5:231–240
Ulrich W, Buszko J (2005) Detecting biodiversity hotspots using species–area and endemics–area relationships: the case of butterflies. Biodiv Conserv 14:1977–1988
Veech JA (2000) Choice of species–area function affects identification of hotspots. Conserv Biol 14:140–147
Viglioglia V (2004) Note preliminari sullȁ9entomofauna del Parco degli Acquedotti (Roma). Boll Ass Romana Entomol 59:1–18
Williamson M, Gaston KJ (2005) The lognormal distribution is not an appropriate null hypothesis for the species-abundance distribution. J Animal Ecol 74:409–422
Wright SJ (1981) Intra-archipelago vertebrate distributions: the slope of the species–area relation. Am Nat 118:726–748
Zar JH (1999) Biostatistical Analysis, 4th edn. Prentice-Hall, Upper Saddle River, New Jersey
Acknowledgements
I am very grateful to W. Ulrich (Nicolaus Copernicus University, Gagarina, Torun) for stimulating discussions and two anonymous referees for their comments.
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Fattorini, S. To Fit or Not to Fit? A Poorly Fitting Procedure Produces Inconsistent Results When the Species–Area Relationship is used to Locate Hotspots. Biodivers Conserv 16, 2531–2538 (2007). https://doi.org/10.1007/s10531-006-9029-6
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DOI: https://doi.org/10.1007/s10531-006-9029-6