Hi Matias. You will need four versions/images of your Vector without the text that goes into the central circle:
Base – just the years and the black central circle (as at the end of your gif)
Temperature – as when Temp is fully visible in your gif, including the years and central circle
Rain – as when Rain is fully visible etc as above
Sun – as when Sun is full visible etc as above.
Place them as layers in your composition:
1 Base
2 Temp
3 Rain
4 Sun
5 Base
Add the Radial Wipe effect to each of the top 4 layers.
On Layer 1 go to the time when you want the transition to begin, make a Transition keyframe for 0, move along to when you want the transition complete and make a Transition keyframe at 100. You will need to change the Start Angle so that the upright black bar with the numbers appears completely (I used -2). The Temperature layer will now have wiped on and be visible.
Do the same thing for all four top layers.
You might want to keyframe the Start Angle of your Sun Layer so that it wipes on as the others do, but wipes off leaving the black bar as the last thing to go.
Now make the text layers that will go into the centre black circle in After Effects (or you could import the text only from your other program) and keyframe the Opacity so they each fade in/out as required. These text layers should sit at the top of all the vector layers.
Let me know if any of this is unclear but I hope once you’ve done the first transition all should make sense!?