What factors influenced the abolition of the trans-Atlantic slave trade?.

There were many forces behind the abolition of the
trans-Atlantic slave trade.  For various reasons, both slave owners and abolitionists
backed this ban.

For abolitionists like William Wilberforce
in Great Britain, there were two major reasons for banning the slave trade.  First, it
would be a humane move that would prevent more Africans from being enslaved.  Second, if
slave owners couldn't simply import new slaves all the time, they would need to treat
their existing slaves in a more humane way.

For many
slaveowners, the ban was a good thing as well.  the main reason for this was that it
would take some of the attention and disapproval away from their slave system.  The
trans-Atlantic trade looked (and was) terrible.  Banning it would be a relatively
low-cost way to improve their image.