  We have carried a detailed analysis on the impact of cosmological redshift in
the non-parametric approach to automated galaxy morphology classification. We
artificially redshifted each galaxy from the EFIGI 4458 sample (re-centred at
$z \sim 0$) simulating SDSS, DES, LSST and HST instruments set-ups over the
range $0 < z < 1.5$. We then traced how the morphometry is degraded in each $z$
using MORFOMETRYKA. In the process, we re-sampled all catalogues to several
resolutions and to a diverse signal-to-noise range, allowing us to understand
the impact of image sampling and noise on our measurements separately. We
summarize by exploring the impact of these effects on our capacity to perform
automated galaxy supervised morphological classification by investigating the
degradation of our classifier's metrics as a function of redshift for each
instrument. The overall conclusion is that we can make reliable classification
with MORFOMETRYKA for $z < 0.2$ with SDSS, for $z < 0.5$ with DES, for $z <
0.8$ with LSST and for at least $z < 1.5$ with HST.
