Question

What factors usually determine how strongly a nation will pursue a claim to a piece of land

Answer 1

A. how the nation intends to use the land B. political attitudes within the nation 
C. the nation's interests in other parts of the world 

I'd expect a country to look into all of these. I hope this helps. 

Answer 2

Answer:

The factors that determine how strongly a nation will persist with its territorial claims are the following:

-the power of the complaining nation, since being a powerful nation, its ability to obtain favorable responses will be greater given its political and economic weight in the world order.

-the power of the claimed nation, since given the greater power of the claimed nation, it will be more difficult to obtain positive resolutions, as a result of the disparity of powers between the two countries.

-the size and resources available in the claimed territory, since the larger the available resources, the greater the interest of the complaining countries.

-the will of the population belonging to the claimed territory often has an enormous impact on the outcome of the territorial conflict, since the inhabitants often decide between belonging to one or the other country.