poisson in French means fish. adapted to the SAFE network, what might works is we might want to think about “schooling” or containing the boundaries of the randomness generated by the poisson random distribution with advice (current and forward trending/predicted state of areas of the network) gleaned router information which considers a larger statistical sample of current network sickness or health in a randomized sampling of areas, ie- a couple of newly define areas which show up as sick areas would be also included in the bigger school with more than a couple of healthy areas with all of them treated together as the overall collective target (school) of possible candidates for relocation of the vault, so depending on the degree of sickness or health you can have the network randomly skew “the spew” of new vaults to the newly created school of targets, then have the network randomly and shortly thereafter take another random set of area samples of sick/health, which do include nearby areas as well sick and healthy to create a new set of targets for random vault relations
The key is to keep changing up the schools… in random time intervals
We did this to great effect @ Cloakware when I worked there to essentially create new builds of target mobile devices with different hardware and software associated locks for every release randomly distributing the distribution of the devices to different geo locations and through different channels, all the time at random intervals, so that even if one device got cracked (and it never did) is was would have to be with a huge supercomputer… Cloakware is now Iredeto (a Dutch/Chinese firm with the brains in Ottawa , Canada) but they have kept the Cloakware brand name, back in 2007 and 2008 we were doing this for the biggest company names that start with A and N for millions of mobile devices and collecting hack free bonuses per quarter doing it) The basic premise is the same only it would be done in real network time for SAFE, so this Poisson approach could definitely work for SAFE with some clever integration into what the routers know at the time visa vis network sickness/health to create a random fair relocation of the vault keeping anyone from dominating to win more Safecoin… again my 2 cents, nice suggestion! it surely would fit with what @mav is suggesting R2