Skip to content

incorporating effort as an effect in binomial GLMM

2 messages · Ben Bolker, Thierry Onkelinx

#
[this is not my question; it's posted on behalf of someone who wants
to remain anonymous ...]

I am testing the effect of a treatment to reduce bycatch in fishing
nets. Note the the design uses paired nets (control vs experiment)
soaked simultaneously but of different length (limited budget did no
allow to have an experimental net as long as control net).

The dependent variable are counts (no. individuals entangled), and I
have fishing effort and treatment (control vs experiment) as independent
variables. Since bycatch events were rare , the dataset is zero inflated
and positive catches are usually of 1 individual, therefore we switched
to a binomial model to test the probability of catching an individual
where if the catch is zero then probability =0, but if the catch is >0
then probability is a 1.
We used this model to predict bycatch probability in control and
experimental nets by setting fishing effort = 1.

There is an issue being raised, that Fishing effort being significantly
higher for control than experimental nets, the binomial model can yield
biased estimates of treatment and overestimate treatment efficiency.

I thought that including Effort as a fixed effect in the model would
mean that the model takes into account the difference in effort when
predicting the bycatch probability. Is that true?
However, I am not entirely sure HOW the glmer function does it and I
would like to know your opinion about the issue being raised."
#
Dear Anonymous,

Here a few ideas

How did you check for zero-inflation? A lot of zero's does not imply
zero-inflation. E.g. table(rpois(1e6, lambda = 0.01)) has lots of zero's
but no zero-inflation. I'd recommend using a Poisson distribution. Then
check for zero-inflation by comparing the distribution of the number of
zero's from several datasets simulated based on the model with the observed
number of zero's.

The logit-link complicates the interpretation of the fishing effort in the
binomial model. I suggest using a Poisson model with log(length) of the
nets as a fixed effect to the model to correct from fishing effort. Then
you can get predictions in terms of number per unit length the net.

Best regards,


ir. Thierry Onkelinx
Statisticus / Statistician

Vlaamse Overheid / Government of Flanders
INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE AND
FOREST
Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance
thierry.onkelinx at inbo.be
Havenlaan 88 bus 73, 1000 Brussel
www.inbo.be

///////////////////////////////////////////////////////////////////////////////////////////
To call in the statistician after the experiment is done may be no more
than asking him to perform a post-mortem examination: he may be able to say
what the experiment died of. ~ Sir Ronald Aylmer Fisher
The plural of anecdote is not data. ~ Roger Brinner
The combination of some data and an aching desire for an answer does not
ensure that a reasonable answer can be extracted from a given body of data.
~ John Tukey
///////////////////////////////////////////////////////////////////////////////////////////

<https://www.inbo.be>


Op vr 17 jan. 2020 om 22:01 schreef Ben Bolker <bbolker at gmail.com>: