I've been messing up people's minds in mentioning horizontal and vertical ministry. I usually speak about these things in the context of how covenant is revealed through the generations. There are the generations of spiritual fathers and mothers who our faith is imparted through. There is also the covenant that is revealed through our adoption as sons in relationship to our natural lives on this earth.

Through studying the Greek on adoption, I found the term “horizontal posture” indicating where we become prostrate in our worship.

{As in Romans 9:4} NT:5087 ADOPTION
tithemi (tith'-ay-mee); to place (in the widest application, literally and figuratively; properly, in a passive or horizontal posture, and thus different from NT:2476, which properly denotes an upright and active position, (prostrate)

huiothesia (hwee-oth-es-ee'-ah); a derivative of NT:5087; the placing as a son, i.e. adoption (figuratively, Christian sonship in respect to God):

KJV - adoption (of children, of sons).

In prophetic dimensions, we have to "call forth" what we see and discern and trust God to manifest whatever it is that He causes us to see. God will always define what He's showing us through the relationship that He manifests these things through.

I often witness the order that God moves through within this "horizontal ministry", as this is where He most often demonstrates covenant to me. Without this demonstration, we would always identify covenant through those who have gone before us, as opposed to the generation behind us that we’re seeking to raise. Much of God's grace and covenant is revealed through horizontal ministry where we're expanding our circles to receive those who God is bringing into His Kingdom through adoption.

Within my own natural family, God is moving to demonstrate the covenant and structure of "family" through adoptive and birth families coming together. Rather than establishing my own natural family as “the order”, or “the standard” for all members to follow, God is moving to define covenant through the relationship that is forming between both adoptive and birth families. This is the relationship that the Lord is manifesting Himself through. He’s causing strong bonds of love to form between the two families where we no longer see ourselves in one or the other – but in One!

In the process of adoption, the “placing of sons” is honored above those who previously carried the mantles of ministry. In this way, Christ becomes manifest to those He desires to reach through the ministry of reconciliation and restoration. All of us are quickened through the standard that embodies God’s original intentions for “Family” to begin with.  The same applies to all standards of relationship that God is moving to restore.