Recent Advances in Analysis

of Multivariate Ecological Data: Theory and Practice

 

International Centre for Theoretical Physics (ICTP)

Trieste, Italy

24-28 October 2016

 

Pierre Legendre and Daniel Borcard

Université de Montréal

 

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

Course outline, Trieste 2016

 

Documents in PDF format

Day 1

"Algebra of Principal Component, Correspondence, and Principal Coordinate Analyses" (Teaching document)

"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)

"Replacement and richness difference components of beta diversity" (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)

"Is the Mantel test useful for spatial analysis in ecology and genetics?" (pdf of a PowerPoint presentation)

pdf file of PowerPoint presentation of Daniel Borcard - Day 5

Other documents

"Analyzing beta diversity: partitioning the spatial variation of community composition data" (Article)

"Community surveys through space and time: testing the space-time interaction in the absence of replication" (Article)

"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)

 

Practicals in R

Practicals last updated in October 2016

Folder containing practicals using the R statistical language

 

Material for the seminar of Prof. François Gillet

Please follow this link.

 


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