I am reviewing the Gutierrez Map and I need to know, what does this mean: How might the map’s indication of where Native American’s lived have strengthened European claims of sovereignty? Could you please reword this question so I can understand what it is asking.

Where do the Native Americans live, according to this map? Are there very many Native Americans?

What conclusions could Europeans have drawn about the Native American population?

What does "claims of sovereignty" mean?

Loosely, it means that the Europeans thought they had the right to take over the Americas.

http://dictionary.reference.com/browse/sovereignty

Thank you for your help!

You're very welcome.

Sure! Here's a reworded version of the question: "In what ways did the Gutierrez Map's depiction of Native American dwellings support European assertions of authority and control?"