This is related to question of whether to replace chains frequently (as is recommended for derailleur systems) or infrequently (Andy Blance's system).
Case 1: Very long tours (over 5000km). Since you probably don't want to carry a bunch of chains and the tour may be to parts of the world where buying quality chains is a problem, then what Dave suggested might be optimal. Start with a fresh chain, sprocket and chainring, then let them all wear down together over the course of the tour, adjusting the eccentric as needed, without ever removing links from the chain.
Case 2: Tours under 5000km. In this case, it is possible to use cheap chains and replace the chain after each tour, so as to minimize wear to the more expensive sprocket and chainring, and also eliminate the need to clean the filthy chain after each tour. So far, I've taken 4 tours for a total of 8000km and replaced the chain 3 times (and also 3 oil changes). The 17T sprocket and Thorn aluminum 42T chainring showed very little wear, even though the chain was dirty throughout most of these tours. Evidently, the dirt (though very thick) was mostly on the outside of the chain. Had I attempted to clean the chain after each tour, rather than replacing it, and done a poor job with this cleaning, I might have pushed that dirt inside the chain where it might start to wear the sprocket and chainring. The problem with what Dave suggested is that it requires a couple of hundred miles of shakedown rides after installing the new chain and before starting the tour, in order to get the chain to stretch enough to allow adjustment, and arranging for that might be a problem for someone like me who has little time between tours.