As always, WD has given a nice, balanced answer, looking at carbon and Purigen from a far wider view of the hobby than most. Carbon and Purigen can play an important role in setting up planted tanks in particular. Planted tanks, due to their nature can be vulnerable to algae due to initially poor plant health. Plus, a lot of planted tanks use a considerable amount of wood, which give out discolorants which are unwanted by many planted enthusiasts.
Through the use of carbon and Purigen from the outset, algae triggers can be reduced to a minimum, and the water kept crystal clear without the need to endlessly boil and soak new wood.
Personally, I don`t really bother with carbon as it is rapidly depleted, but I can get a few months of use out of Purigen, and it is then easily regenerated.
However, I don`t agree with the whole Purigen, carbon, Zeolite “starve” the filter argument, though. And from quite a bit of experience, with Purigen in particular. They are not so efficient that they take up all the ammonia before nitrifying bacteria, especially if the media is placed as the last stage of filtration. Even in a heavily planted tank like mine, with rapid plant growth and usage of ammonia as well, the bacteria colony will develop.
People claiming that they see an ammonia spike after they remove any of the media mentioned above are failing to realise that they are removing a part of their nitrifying bacteria colony, which will have moved in on the readily available ammonia source.
These are the experiences of many planted tank enthusuiasts, and to say there is absolutely no need for carbon and Purigen is not looking at what is a bigger picture. Personally, I have never used carbon, but that is thanks to the presence of Purigen, which I would never start a planted tank without.
Dave.