1 we combined the species richness maps from the cross-validation by the following inverse distance weighted approach: $$ S_w,\rm LOOCV = \sum\limits_i = 3^10 \left( d_i^ – p \right. \cdot \left. \left( S_i,\rm LOOCV \right. – \left. S_i – 1,\rm LOOCV \right) \right) + S_2,\rm LOOCV $$ (4)Dividing the resulting LOOCV-estimate \( S_w,\textLOOCV \) by the weighted interpolation
estimate S w (for the distances 3–10, otherwise identical to Eq. 1) yielded the mean robustness of the weighted species richness estimation per quadrat. Fig. 8 Ratio between the species richness estimate by LOOCV and by weighted interpolation of the species richness CH5183284 mw centers identified in Fig. 3b. Similar richness estimates (ratios near 1) indicate that the interpolation results in an area are less
influenced by the leave-one-out cross-validation and therefore Ro 61-8048 solubility dmso PSI-7977 robust References Andersen M, Thornhill AD, Koopowitz H (1997) Tropical forest disruption and stochastic biodiversity losses. In: Laurance WF, Bierregaard RO (eds) Tropical forest remnants: ecology, management, and conservation of fragmented communities. University of Chicago Press, Chicago Barthlott W, Biedinger N, Braun G, Feig F, Kier G, Mutke J (1999) Terminological and methodological aspects of the mapping and analysis of the global biodiversity. Acta Bot Fenn 162:103–110 Barthlott W, Mutke J, Rafiqpoor MD, Kier G, Kreft H (2005) Global centers of vascular plant diversity. Nova Acta Leopold
92:61–83 Bates JM, Demos TC (2001) Do we need to devalue Amazonia and other large tropical forests? Divers Distrib 7:249–255CrossRef Burgman MA, Fox JC (2003) Bias in species range estimates from minimum convex polygons: implications for conservation and options for improved planning. Anim Conserv 6:19–28CrossRef Center for International Earth Science Information Network (Ciesin), Centro Internacional de Agricultura Tropical (Ciat) (2005) Gridded population of the world, version 3 (GPWv3) data collection. http://sedac.ciesin.columbia.edu/gpw/index.jsp. Cited 12 Feb 2008 Davis SD, Heywood VH, Herrera-Macbryde O, Villa-Lobos J, Hamilton AC (eds) (1997) The Americas. In: Centres of plant diversity: A guide and strategy for their conservation, vol. 3. Rolziracetam IUCN Publications Unit, Cambridge de Oliveira AA, Daly DC (1999) Geographic distribution of tree species occurring in the region of Manaus, Brazil: implications for regional diversity and conservation. Biodivers Conserv 8:1245–1259CrossRef de Oliveira AA, Mori S (1999) A central Amazonian terra firme forest. I. High tree species richness on poor soils. Biodivers Conserv 8:1219–1244CrossRef Edelsbrunner H, Kirkpatrick DG, Seidel R (1983) On the shape of a set of points in the plane. IEEE Trans Inform Theory IT 29:551–559CrossRef Efron B, Gong G (1983) A leisurely look at the bootstrap, the jackknife, and cross-validation.
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