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"New Zealand's immigration policies and trends since 1945 are compared with those of Canada and Australia. For most of this period, Australia has pursued the more expansive immigration policy while Canada and New Zealand have tended to link immigration intakes to fluctuations in labor demand. All three countries initially discriminated against non-European immigrants but gradually moved towards nondiscriminatory policies based on similar selection criteria and means of assessment. New Zealand has traditionally been more cautious than both Canada and Australia in terms of how many immigrants it accepted and from what sources, but it has recently followed the other two in raising immigration targets encouraging migration from nontraditional sources, particularly Asian countries. Historical, global and national factors are drawn upon to explain the degree of convergence between these three societies."
Ongley et al. (Fri,) studied this question.