# Recent Advances in Spatial Analysis

# of Multivariate Ecological Data: Theory and Practice

### National Dong Hwa University

### Hualien, Taiwan

### May 23-27, 2013

## Pierre Legendre

### Université de Montréal

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

Course outline, Hualien 2013

**Documents in PDF format**

**Day 1**

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

"File: Script_graphic_rotation_3-D.pdf" (R demonstration)

"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" (Figure)

**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)

**Day 3**

"Statistical tests, permutation tests"
(Chapter extract)

"Permutation test summary"
(Classroom notes)

"Canonical analysis" (Classroom notes)

"General linear model" (Classroom notes)

**Day 4**

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

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

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

**Day 5**

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

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

"Constrained_clustering" (Chapter extract)

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

**Other documents**

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

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

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

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

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

** **

**Practicals in R**

Practicals last updated in May 2013

Folder containing practicals using the R statistical language

Folder containing 3 exercises in R on spatial eigenfunction analysis

** **

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