Minimal replacement migration

Replacement migration is a minimum migration without surplus to achieve a chosen objective. This form of replacement migration may result in large fluctuations between periods. Its calculation will depend on the chosen objective. For example, Marois (2008) calculates the gross number of immigrants needed to prevent total population decline in Quebec.^[7] The formula is then the following:

${\displaystyle R_{(t)}\ '={\frac {-\Delta P_{(t,t+1)}}{A_{(t)}}}}$

Where:

• R(t)' = Replacement Migration avoiding the decline of population in year t
• A(t) = retention rate of immigrants year t, defined by (1 - instantaneous departure rate)
• ∆P(t,t+1) = change in the total population in the time interval t, t+1

Constant replacement migration

The constant replacement migration does not fluctuate and remains the same throughout the projection. For example, it will be calculated with a projection providing a migration of X throughout the temporal horizon.

Criticism

Replacement migration as presented by the United Nations Population Division in 2000 is largely perceived as unrealistic as a singular way of fighting population ageing.^[8][9][10] One reason being that replacement migration tends to only be a temporary fix to aging populations. Instead of using replacement migration to combat declining and aging populations, government policy and social changes could be implemented.^[11] Therefore, replacement migration is said to be more useful as an analytical or hypothetical tool.^[9]

Increased migration could decrease the old age dependency ratio, which is expected to grow considerably in the next decades.^[9] However, the immigration need to effectively counter the greying of many industrialised economies is unrealistically high.^[12]

Replacement migration is also feared to negatively impact the environment.^[11] Declining and aging populations are typically seen in more developed countries, as more developed countries have better health care infrastructure and access to education that both decreases mortality rates and subsequently fertility rates in the population.^[13] Immigrants are typically moving from areas that have fewer resources or economic opportunities, as access to more resources and economic prosperity can be a pull factors for these migrants to move to a new country. A large influx of immigrants from an area that is low or lacks resources to a country that has more resources may change the availability of resources since there will be more people.^[11] Resources could be food, water, land, energy etc.

Certain countries may be opposed to international immigration. Reasons such as xenophobia can subject new immigrants to discrimination, thus, the immigrants may have trouble assimilating to their new country.^[13] The native population of said countries may also resent and oppose the loss of national identity, homogeneous national culture, and the loss of advantages for native people that replacement immigration leads to.

Advances in robotics and AI could diminish the need for migrant workers, especially in low-skilled jobs.^[14]

A 2019 paper reasserted the conclusions of the 2000 UN Population Division paper, arguing that while immigration could play a role in moderating the effects of an ageing population, the number of immigrants required to actually halt the ageing of the population (expressed in terms of maintaining the potential support ratio) was too high to be realistic.^[15] A 2016 paper on the impact of migration on the projected population trends of the Scandinavian countries reached similar conclusions.^[16]