Thanks for all the suggestions! Since I'm still on 0.3.11, and only have to check a couple of fairly small arrays, I simply went with
function checkmonotonicity(v::Array{Float64})
counter = Array(Int64, ndims(v))
for i = 1:ndims(v)
counter[i] = sum(mapslices(issorted, v, i))
end
return counter
end
