The micro-variability of grammage influences the variability of mechan
ical and hygro-strain properties of paper. This is of particular impor
tance in high-speed multicolour printing, for example. Anisotropy, due
to the preferential orientation of fibre axes in the machine directio
n, may be thought to interfere with the micro-scale variability of gra
mmage for purely geometrical reasons. This has been analysed for stand
ard fibre networks with specific anisotropy, using statistical geometr
y. The coefficient of variation of grammage has been computed as a fun
ction of the orientation ratio for three orientation distribution func
tions. For a one- or two-term cosine orientation distribution function
, the uniformity of grammage is strictly not influenced by the extent
of orientation. For a wrapped Cauchy orientation distribution function
, a more oriented paper is slightly less uniform but negligibly so. Fo
r a rectancular orientation distribution function, the paper is found
to be slightly more uniform when it is more oriented. The overall resu
lt of this study is that the uniformity of grammage as measured in pra
ctice is not significantly influenced, if at all, by the degree of ani
sotropy.