God didn't do it!
Natural disasters are not something God does. Man was given the authority over the earth, when he rebelled against God in the Garden of Eden he handed that authority over to Satan. 1 John 5:19 the whole world lies in the embrace of the evil one.
As a result the entire world came under the curse of sin. When Jesus came he broke Satan's power over mankind. The fullness of this will only be realized when Jesus comes again in power and the whole creation is made new. Until then the sin of man will continue to corrupt the world and allow disasters to happen.
Just as a loving father wouldn't hurt his children. God would not destroy members of His creation.
In summary: The natural disasters of the world are not caused by God, but are a results of Adam's sin, turning his God given authority over to Satan which corrupted the entire Universe. Romans 8:22 We know that the whole creation groaneth and travaileth in pain together.