Constant current source of 1A

The application is to use LT3083 as constant current source of 1A. If I have 1 oz 4 layer PCB, which thermal considerations I need to take care. In terms of Copper area, thermal vias etc...

Can you please provide the calculations to get best optimum PCB area required for LT3083 as 1A constant current source. The input voltage will constant 5 V.

If you have any other device which will do this job with minimum PCB copper area, please suggest.