**This page contains links to various documents and programs
that will be used during the course**

**Day 1**

"Text file: Script_graphic_rotation_3-D.pdf" (R demonstration)

"From classical to canonical ordination" (Chapter)

"Transformations for ordination of species data" (Chapter extract)

"Ordination methods for community composition data" (Figure)

Comparison between NMDS and PCoA

pdf file of PowerPoint presentation of Daniel Borcard - Day 1

**Day 2**

"Some measures of resemblance" (Teaching document)

"Symmetrical and asymmetrical coefficients" (Teaching document)

"Is Miss America an undernourished role model?" (Article)

"Multiple regression: computing the parameters by matrix inversion" (Teaching document)

"R-square, adjusted R-square, AIC, F-statistic" (Chapter extract)

"Polynomial regression, trend surface analysis" (Teaching document)

"Partial linear regression and variation partitioning" (Chapter extract)

"Partial and semipartial correlation" (Chapter extract)

"Multiple regression with permutation test" (R function)

pdf file of PowerPoint presentation of Daniel Borcard - Day 2

**Day 3**

"Statistical tests, permutation tests" (Chapter extract)

"Permutation test summary" (Classroom notes)

"Canonical analysis" (Classroom notes)

"General linear model" (Classroom notes)

pdf file of PowerPoint presentation of Daniel Borcard - Day 3

**Day 4**

"Beta diversity partitioning" (pdf of a PowerPoint presentation)

"Origin_of_spatial_structures" (pdf of a PowerPoint presentation)

pdf file of PowerPoint presentation of Daniel Borcard - Day 4

**Day 5**

"Spatial eigenfunction methods" (pdf of a PowerPoint presentation)

"Other eigenfunction-based methods of spatial analysis" (Chapter extract)

"Test of space-time interaction" (pdf of a PowerPoint presentation)

pdf file of PowerPoint presentation of Daniel Borcard - Day 5

**Other documents**

"Dissecting the spatial structure of ecological data at multiple scales" (Article)

"Distance-based redundancy analysis..." (Article)

"Legendre & De Caceres, Beta diversity partitioning, Ecology Letters 2013" (Article)

"Legendre & Gauthier, Space-time analysis, Proc. Roy. Soc. B 2014" (Article)

"Legendre, Repl and Rich.diff components of beta, Global Ecology and Biogeography 2014" (Article)

"Modelling the effect of directional spatial ecological processes at different scales" (Article)

"Should the Mantel test be used in spatial analysis?" (Article)

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Practicals last updated in October 2016

Folder containing practicals using the R statistical language

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** Numerical Ecology lab of Pierre Legendre :
R functions and
PDF reprints**