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This is a question I posted on Cross Validated few weeks ago but no response has been given so far.

I am looking for a book that would cover a lot of different ordinations techniques (indirect gradient analysis e.g. PCA, CA, DCA, MDS, nMDS but also direct gradient analysis e.g. CCA, CCorA, RDA) with applications in ecology (with R would be better) and mostly focusing on these methods.

I think " Numerical Ecology " by Legendre & Legendre (https://www.elsevier.com/books/numerical-ecology/legendre/978-0-444-53868-0#) would be relevant but it seems to cover a very extensive number of topics. Any other idea ?

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I took a class in ordination methods a few months ago and found the following books helpful in better understanding the various techniques:

Multivariate Statistical Methods: A Primer by Brian Manley https://www.crcpress.com/Multivariate-Statistical-Methods-A-Primer-Fourth-Edition/Manly-Alberto/p/book/9781498728966

Correspondence Analysis in Practice by Michael Greenacre (this is somewhat more in-depth for forms of CA) https://www.crcpress.com/Correspondence-Analysis-in-Practice-Third-Edition/Greenacre/p/book/9781498731775

Multivariate Statistics for Wildlife and Ecology Research by McGarigal, Cushman, and Stafford https://www.springer.com/gp/book/9780387988917

Numerical Ecology is really excellent, even if it covers a broad number of topics. I focused on the ordination methods and found it to be very straightforward. Check out the McGarigal et al. book if you are interested in seeing examples of application in ecology.

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You might also want to consider:

  1. Tree diversity analysis by Kindt and Coe 2005. Freely and legally available here. Not very deep but nice and crisp introductions + its free.

  2. Numerical Ecology with R by Borcard et al. 2018; https://link.springer.com/book/10.1007%2F978-1-4419-7976-6 Little brother of Legendre and Legendre 2012. Excellent book with many examples in the R language. Also very up to date as it was released this year.

  3. Analyzing Ecological Data by Zuur et al 2007; https://www.springer.com/us/book/9780387459677. Also a nice book covering the basics of ordination in ecology.

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