[annalex]

The system you describe is state ownership of all unclaimed land; when a citizen claims previously unclaimed by another citizen land, he in fact receives it from the government. This puts the government in the role of the originator of all real property. Historically, such systems of property exist as a result of a war for territory that a government has fought; the land in the American West was partly distributed to homesteaders in that fashion, and partly remained government property. This is not the only system of real property, and it has no justification other than in historical circumstance; the natural law, and the libertarian principles would place the government in its only proper role as law enforcer and not a landlord-by-default.

[Demidog]

The system you describe is state ownership of all unclaimed land;

No it isn't. It's state authority over all unclaimed land within its borders. It can settle disputes and it can determine the accepted method for making claims on land.

And it can tell anyone who hasn't gone through those accepted methods to go away.