# Recent Advances in Spatial Analysis

# of Multivariate Environmental Data: Theory and Practice

### Instituto de Ecología

### Universidad Nacional Autónoma de México

### October 24-28, 2011

## Pierre Legendre

### Université de Montréal

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

Course outline, Mexico 2011

**Documents in PDF format**

**Day 1**

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

"From classical to canonical ordination"
(Chapter)

"Contingency table analysis" (Teaching document)

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

"Ordination methods
for community composition data tables" (Figure)

**Day 2**

"Some measures of resemblance" (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" (Chapter extract)

"Akaike Information Criterion (AIC)" (Wikipedia article)

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

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

"Multiple regression
with permutation test" (R function)

**Day 3**

"Statistical tests, permutation tests"
(Chapter extract)

"Permutation test summary"
(Classroom notes)

"Canonical analysis" (Classroom notes)

"Response of 20 native tree species..." (Article)

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

**Day 4**

"Origin of spatial structures" (Classroom notes)

"Variation partitioning and PCNM analysis"
(Print of a PowerPoint presentation)

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

"Modelling directional spatial processes in ecological data" (Article manuscript)

**Day 5**

"Spatial structure functions:
correlograms, variograms" (Chapter extract)

"Cartographic interpolation, kriging" (Chapter extract)

"A balanced view of
scale in spatial statistical analysis" (Article)

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

**Other documents**

(There is nothing in this section at the moment)

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**Practicals in R**

Practicals last updated in February 2011

Folder containing practicals using the R statistical language

** **

**
R functions and
PDF reprints from the lab of Pierre Legendre**