To further reinforce your point. Many countries around the world have been trying to attract people to compensate for these issues and are struggling (Japan, Australia, New Zealand).
No, and what oblio wrote completely does not apply to NZ and Aus.
Japan is completely different from NZ and Australia, which are two very multicultural countries. I've heard that Japan tries to get people in on work visas to do stuff like aged care, but will never ever let them become citizens/permanent residents. Maybe they are struggling, I don't know.
I'm a NZer, and like the USA we certainly don't struggle to attract immigrants, and even so, non-European immigrants are not just welcome, they're the majority. I'm not aware that immigration settings are that way to keep the population growing; rather the aim is to bring in people with skills that are in shortage or to do low-paid jobs that locals don't want, especially aged care and fruit picking (equivalently: keep wages and prices low). The fertility rate is 1.81, but the population is growing fairly quickly.
Same in Australia. In fact, Australia is even more desirable (probably because of the higher wages).
