The Lord has “called Israel His own” in the way that cities and territories in the ancient world are named after those who have explored, settled, or conquered them. It is understood that the person whose name is attached to a place will have continuing interests there, such as preventing anyone else from taking the crops, oppressing the people, and so forth. The Lord’s name is literally “over” the people of Israel, providing shelter and protection. Anyone who wants to harass them has to answer to Him, so His great reputation will keep them safe from marauders. If they are trusting and obedient, they will be protected from spiritual dangers and attacks by the power and reputation of the One who has called them by His own name.