You don't have to follow two depreciation processes i.e. Company and Tax
However, in global company for comparison of performance across companies you may want to have the same depreciation policies for all companies in the group.
In each country there may be a different statutory /GAAP regime which prescribes specific depreciation policies for the given country. Different depreciation policies affect the timing of cost recognition, ant thus impact declared profit and thus the timing/amount of tax payable.
So you may need to provide a different set of financial reports to Head office as you do to the taxman.
This is accounting not Ax.