Of course annotations differ, but nouns are likely to be dependents of verbs, prepositions are likely to be dependents of nouns, and so on.
zeman and Resnik (2008) trained a constituent-based parser on the training section of the Danish treebank and evaluated it on sentences of up to 40 words in the test section of the Swedish treebank and obtained an F 1 -score of 66.40%.