The need for space
Some people need more space in all areas. People who encroach into that space are seen as a threat.
Personal space is an example of a mobile form of territory and people need less or greater distances between them and others. A Japanese person who needs less space thus will stand closer to an American, inadvertently making the American uncomfortable.
Some people need bigger homes, bigger cars, bigger offices and so on. This may be driven by cultural factors, for example the space in America needs to greater use of space, whilst Japanese need less space (partly as a result of limited useful space in Japan).
High territoriality
Some people are more territorial than others with greater concern for ownership. They seek to mark out the areas which are theirs and perhaps having boundary wars with neighbors.
This happens right down to desk-level, where co-workers may do battle over a piece of paper which overlaps from one person's area to another. At national level, many wars have been fought over boundaries.
Territoriality also extends to anything that is 'mine' and ownership concerns extend to material things. Security thus becomes a subject of great concern for people with a high need for ownership.
People high territoriality tend also to be low context.
Low territoriality
People with lower territoriality have less ownership of space and boundaries are less important to them. They will share territory and ownership with little thought.
They also have less concern for material ownership and their sense of 'stealing' is less developed (this is more important for highly territorial people).
People with low territoriality tend also to be high context.