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Multi response GAM

You might want to start by re-expressing the "amounts"
variables to
  total amount * (relative fish 1, relative fish 2, invertebrates)
and then using the Isometric Log-ratio transformation to
convert the compositional part to orthonormal coordinates.
https://stats.stackexchange.com/questions/259208/how-to-perform-isometric-log-ratio-transformation
may help.

I can't help wondering whether viewing the diet in terms of
the nutrients offered by the different components might yield
more insight.

On Sat, 18 Apr 2020 at 11:00, Tristan Kosciuch
<tristan.kosciuch at mail.mcgill.ca> wrote:
Message-ID: <CABcYAdJ7P1a10MmaPS=btHxE0J04Ce_ngL6n2+UYJJetGzLHvg@mail.gmail.com>
In-Reply-To: <YQBPR0101MB134869D0F8483166E80901E5BBD90@YQBPR0101MB1348.CANPRD01.PROD.OUTLOOK.COM>