Advances in Spatial Analysis of Multivariate Ecological Data: Theory and 
Practice (MVSP03)

https://www.prstatistics.com/course/advances-in-spatial-analysis-of-
multivariate-ecological-data-theory-and-practice-mvsp03/

This course will be delivered by Prof. Pierre Legendre and Dr. Guillaume 
Blanchet from the 7-11th May 2018 in Quebec, Canada.

Course Overview:
The course will describe recent methods (concepts and R tools) that can be 
used to analyse spatial patterns in community ecology. The umbrella concept 
of the course is beta diversity, which is the spatial variation of 
communities. These methods are applicable to all types of communities 
(bacteria, plants, animals) sampled along transects, regular grids or 
irregularly distributed sites. The new methods, collectively referred to as 
spatial eigen-function analysis, are grounded into techniques commonly used 
by community ecologists, which will be described first: simple ordination 
(PCA, CA, PCoA), multivariate regression and canonical analysis, 
permutation tests. The choice of dissimilarities that are appropriate for 
community composition data will also be discussed. The focal question is to 
determine how much of the community variation (beta diversity) is due to 
environmental sorting and to community-based processes, including neutral 
processes. Recently developed methods to partition beta diversity in 
different ways will be presented. Extensions will be made to temporal and 
space-time data.

Monday 7th
Introduction to data analysis.
Ordination in reduced space: principal component analysis (PCA), 
correspondence analysis (CA), principal coordinate analysis (PCoA).
Transformation of species abundance data tables prior to linear analyses.

Tuesday 8th
Measures of similarity and distance, especially for community composition 
data.
Multiple linear regression. R-square, adjusted R-square, AIC, tests of 
significance.
Polynomial regression.
Partial regression and variation partitioning.

Wednesday 9th
Statistical testing by permutation.
Canonical redundancy analysis (RDA) and canonical correspondence analysis 
(CCA). Multivariate analysis of variance by canonical analysis.
Forward selection of environmental variables in RDA.

Thursday 10th
Origin of spatial structures.
Beta diversity partitioning and LCBD indices
Replacement and richness difference components of beta diversity.

Friday 11th
Spatial modelling: Multi-scale modelling of the spatial structure of 
ecological communities: dbMEM, generalized MEM, and AEM methods.
Community surveys through space and time: testing the space-time 
interaction in repeated surveys.
Additional module depending on time – Is the Mantel test useful for spatial 
analysis in ecology and genetics?

Please email any questions to oliverhoo...@prstatistics.com

Other up-coming courses include

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1.      February 19th – 23rd 2018
MOVEMENT ECOLOGY (MOVE01)
Margam Discovery Centre, Wales, Dr Luca Borger, Dr Ronny Wilson, Dr 
Jonathan Potts
https://www.prstatistics.com/course/movement-ecology-move01/

2.      February 19th – 23rd 2018
GEOMETRIC MORPHOMETRICS USING R (GMMR01)
Margam Discovery Centre, Wales, Prof. Dean Adams, Prof. Michael Collyer, 
Dr. Antigoni Kaliontzopoulou
http://www.prstatistics.com/course/geometric-morphometrics-using-r-gmmr01/
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3.      March 5th - 9th 2018
SPATIAL PRIORITIZATION USING MARXAN (MRXN01)
Margam Discovery Centre, Wales, Jennifer McGowan   
https://www.prstatistics.com/course/introduction-to-marxan-mrxn01/

4.      March 12th - 16th 2018
ECOLOGICAL NICHE MODELLING USING R (ENMR02)
Glasgow, Scotland, Dr. Neftali Sillero
http://www.prstatistics.com/course/ecological-niche-modelling-using-r-
enmr02/

5.      March 19th – 23rd 2018
BEHAVIOURAL DATA ANALYSIS USING MAXIMUM LIKLIHOOD IN R (BDML01)
Glasgow, Scotland, Dr William Hoppitt
http://www.psstatistics.com/course/behavioural-data-analysis-using-maximum-
likelihood-bdml01/
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6.      April 9th – 13th 2018 
NETWORK ANAYLSIS FOR ECOLOGISTS USING R (NTWA02
Glasgow, Scotland, Dr. Marco Scotti   
https://www.prstatistics.com/course/network-analysis-ecologists-ntwa02/

7.      April 16th – 20th 2018
INTRODUCTION TO STATISTICAL MODELLING FOR PSYCHOLOGISTS USING R (IPSY01)
Glasgow, Scotland, Dr. Dale Barr, Dr Luc Bussierre   
http://www.psstatistics.com/course/introduction-to-statistics-using-r-for-
psychologists-ipsy01/

8.      April 23rd – 27th 2018
MULTIVARIATE ANALYSIS OF ECOLOGICAL COMMUNITIES USING THE VEGAN PACKAGE 
(VGNR01)
Glasgow, Scotland, Dr. Peter Solymos, Dr. Guillaume Blanchet             
https://www.prstatistics.com/course/multivariate-analysis-of-ecological-
communities-in-r-with-the-vegan-package-vgnr01/

9.      April 30th – 4th May 2018
QUANTITATIVE GEOGRAPHIC ECOLOGY: MODELING GENOMES, NICHES, AND COMMUNITIES 
(QGER01)
Glasgow, Scotland, Dr. Dan Warren, Dr. Matt Fitzpatrick
https://www.prstatistics.com/course/quantitative-geographic-ecology-using-r-
modelling-genomes-niches-and-communities-qger01/
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10.     May 7th – 11th 2018 ADVANCES IN MULTIVARIATE ANALYSIS OF SPATIAL 
ECOLOGICAL DATA USING R (MVSP02)
CANADA (QUEBEC), Prof. Pierre Legendre, Dr. Guillaume Blanchet
https://www.prstatistics.com/course/advances-in-spatial-analysis-of-
multivariate-ecological-data-theory-and-practice-mvsp03/
11.     May 14th - 18th 2018
INTRODUCTION TO MIXED (HIERARCHICAL) MODELS FOR BIOLOGISTS (IMBR01)
CANADA (QUEBEC), Prof Subhash Lele 
https://www.prstatistics.com/course/introduction-to-mixed-hierarchical-
models-for-biologists-using-r-imbr01/

12.     May 21st - 25th 2018
INTRODUCTION TO PYTHON FOR BIOLOGISTS (IPYB05)
SCENE, Scotland, Dr. Martin Jones
http://www.prinformatics.com/course/introduction-to-python-for-biologists-
ipyb05/

13.     May 21st - 25th 2018
INTRODUCTION TO REMOTE SENISNG AND GIS FOR ECOLOGICAL APPLICATIONS (IRMS01)
Glasgow, Scotland, Prof. Duccio Rocchini, Dr. Luca Delucchi
https://www.prinformatics.com/course/introduction-to-remote-sensing-and-gis-
for-ecological-applications-irms01/

14.     May 28th – 31st 2018
STABLE ISOTOPE MIXING MODELS USING SIAR, SIBER AND MIXSIAR (SIMM04)
CANADA (QUEBEC) Dr. Andrew Parnell, Dr. Andrew Jackson 
https://www.prstatistics.com/course/stable-isotope-mixing-models-using-r-
simm04/

15.     May 28th – June 1st 2018
ADVANCED PYTHON FOR BIOLOGISTS (APYB02)
SCENE, Scotland, Dr. Martin Jones
https://www.prinformatics.com/course/advanced-python-biologists-apyb02/
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16.     June 12th -0 15th 2018
SPECIES DISTRIBUTION MODELLING (DBMR01)
Myuna Bay sport and recreation, Australia, TBC
https://www.prstatistics.com/course/species-distribution-models-using-r-
sdmr01/

17.     June 18th – 22nd 2018
STRUCTURAL EQUATION MODELLING FOR ECOLOGISTS AND EVOLUTIONARY BIOLOGISTS 
USING R (SEMR02)
Myuna Bay sport and recreation, Australia, TBC
https://www.prstatistics.com/course/structural-equation-modelling-for-
ecologists-and-evolutionary-biologists-semr02/
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18.     July 2nd - 5th 2018
SOCIAL NETWORK ANALYSIS FOR BEHAVIOURAL SCIENTISTS USING R (SNAR01)
Glasgow, Scotland, Prof James Curley
http://www.psstatistics.com/course/social-network-analysis-for-behavioral-
scientists-snar01/

19.     July 8th – 12th 2018
MODEL BASE MULTIVARIATE ANALYSIS OF ABUNDANCE DATA USING R (MBMV02)
Glasgow, Scotland, Prof David Warton
https://www.prstatistics.com/course/model-base-multivariate-analysis-of-
abundance-data-using-r-mbmv02/

20.     July 16th – 20th 2018
PRECISION MEDICINE BIOINFORMATICS: FROM RAW GENOME AND TRANSCRIPTOME DATA 
TO CLINICAL INTERPRETATION (PMBI01)
Glasgow, Scotland, Dr Malachi Griffith, Dr. Obi Griffith
https://www.prinformatics.com/course/precision-medicine-bioinformatics-from-
raw-genome-and-transcriptome-data-to-clinical-interpretation-pmbi01/

21.     July 23rd – 27th 2018
EUKARYOTIC METABARCODING (EUKB01)
Glasgow, Scotland, Dr. Owen Wangensteen
http://www.prinformatics.com/course/eukaryotic-metabarcoding-eukb01/

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