Ecological Archives E085-050-A2

Daniel Borcard, Pierre Legendre, Carol Avois-Jacquet, and Hanna Tuomisto. 2004. Dissecting the spatial structure of ecological data at multpile scales. Ecology 85:1826–1832.

Appendix B. A figure and two tables showing results of the analysis of the Amazonian fern data:

Table B1:. R² and probabilities related to the spatial analysis of the fern Adiantum tomentosum at Nauta (Peru);

Table B2: R² and probabilities related to the spatial analysis of the fern Adiantum tomentosum at Huanta (Peru);

Fig. B1: Square-root-transformed Adiantum tomentosum abundances and spatial PCNM model and submodels (ordinate) at Huanta (Peru).

	A. tomentosum	Very broad	Broad	Medium	Fine
R2 of PCNM submodel on A. tomentosum		0.333	0.239	0.126	0.117
R2 of environment on submodel		0.347	0.334	0.157
R2 of environment on A. tomentosum	0.436	0.116	0.080	0.020
Elevation (m)	<0.0001	<0.0001	<0.0001
Thickness of soil organic horizon (cm)	0.0004	<0.0001
Drainage	0.0393			0.0007
Canopy height (m)	0.0011	<0.0001
Canopy coverage (%)				0.0024
Shrub coverage (%)	0.0621	0.0341		0.0001
Herb coverage (%)		0.0002
Trees 3–7.5 cm DBH	0.0083		0.0009
Lianas 3–7.5 cm diameter				0.0413
Lianas 8–15 cm diameter				0.0183

Table B2. R² and probabilities related to the spatial analysis of the fern Adiantum tomentosum at Huanta (Peru). First line: R² of each spatial submodel. Second line: R² of the regression of the submodel (fitted values) on a subset of backward-selected environmental variables. Third line: product of the two previous lines, i.e., variation of the fern data explained by the environmental variables at the scale considered. Other lines: P values of the regression coefficients of the environmental variables in the model considered.

	A. tomentosum	Very broad	Broad	Medium	Fine
R2 of PCNM submodel on A. tomentosum		0.324	0.047	0.170	0.152
R2 of environment on submodel		0.408	0.099	0.072	0.039
R2 of environment on A. tomentosum	0.227	0.132	0.005	0.012	0.006
Elevation (trend)		0.0107
Elevation (detrended)	<0.0001	<0.0001	<0.0001
Thickness of soil organic horizon (cm)		0.0087			0.0420
Drainage	0.0047			0.0002	0.0188
Canopy height (m)	0.0034			0.0006
Trees 3–7.5 cm DBH		0.0007
Trees 31.5–62.5 cm DBH		0.0215
Trees > 63 cm DBH		0.0384
Lianas 8–15 cm diameter		0.0017	0.0010

FIG. B1. Square-root-transformed Adiantum tomentosum abundances and spatial PCNM model and submodels (ordinate) along the Huanta transect (abscissa, 260 quadrats). (a) A. tomentosum (thick line) and parsimonious PCNM model. (b) very broad (thick line) and broadscale models. (c) medium-scale model. (d) fine-scale model. The R2 are calculated with respect to the total variation in the transformed fern count data; they are thus additive.