For the initial doping of elements, It will cause a change in the original structure of the crystal depending upon the ionic radius and crystalline nature of the dopant. This makes a distinct increase in lattice constant which confirms the incorporation of ion in the host lattice. further increase of doping may reduce the lattice constant due to variation of micro strain of crystal.
The distribution of dopant changes with increasing concentration. Make sure that samples with low dopant content have reached equilibrium. If so, the first portions somewhat disorder the crystal lattice. Therefore, the lattice parameter grows. Further with increasing dopant concentration the distribution of the dopant becomes more regular. Since the ionic radius of copper is a bit less than that of zinc, the lattice parameter decreases. I doubt that the stress in the crystal will significantly affect to cell parameters.