The connection between Genesis 8:11 and John 1:32 is the Promised Land. The dove was sent out three times looking for land. Jesus is the Branch of Jeremiah 33:15. Jesus is the Promised Land upon which the Spirit of the Dove descends and finds rest. The volume of the book is written of Jesus, Ps 40:7 and Hebrews 10:7. Note that it is the fourth time or "day" when you see the Dove come down on Jesus.
Who are the "third and fourth generation" in Exodus 20:5?
What does Paul mean by allegory in Galatians 4:24?
Deuteronomy 21:23 "His body shall not remain all night upon the tree that thy Land not be defiled."
The word "generation" has six different definitions.
http://www.dictionary.com/browse/generation
The word "day" has two definitions.
https://search.yahoo.com/yhs/search?p=day+definition&ei=UTF-8&hspart=mozilla&hsimp=yhs-001
If I had laid the foundation for everything at once, you would have said I went off on a tangent. Sometimes less is more.
It is significant that three times Noah sent out the Dove and the fourth "time" you see the Dove is when it's spirit comes to rest on Jesus. It is the beginning of the fourth covenant generation after the flood. Scripture only uses the word "generation" or the word "day" for longer time periods and this is why I added these links to explain the "fourth day."
Jesus is the Word. Genesis 2:4 is only the example of the hyphenated compound word, creation-day. God created but told "man" to name it.
When Jesus tells you in Matt. 16:3 "ye can not discern the signs of the times" he is telling you that you do not know what time it is. He knows you can see the signs.
"Wise men know time and judgement," says the Preacher. Ecc. 8:5