Yet what we suffer now is nothing compared to the glory he will reveal to us later.  For all creation is waiting eagerly for that future day when God will reveal who his children really are.  Against its will, all creation was subjected to God's curse. But with eager hope,  the creation looks forward to the day when it will join God's children in glorious freedom from death and decay.  For we know that all creation has been groaning as in the pains of childbirth right up to the present time.
- I look to this passage for hope some days when I regard the state of the world and the distress and violence that the animal kingdom - and all of nature - is currently suffering.
The prophet Isaiah (especially) describes a future world where violence on all levels has been vanquished and animals and all of nature becomes deeply peaceful. This section of Paul's writing makes the connection between that liberation, and the liberation of human beings from the evil, violence, and unrest within us.
Romans 8:23 (NLT)
And we believers also groan, even though we have the Holy Spirit within us as a foretaste of future glory, for we long for our bodies to be released from sin and suffering. We, too, wait with eager hope for the day when God will give us our full rights as his adopted children, including the new bodies he has promised us.