  We study Ising pyrochlores by means of Monte Carlo simulations. We cover a
set of exchange constants ranging from the frustrated ferromagnetic case
(spin-ice) to the fully-ordered "all-in--all-out" antiferromagnet in the
dipolar model, reinterpreting the results --as in an ionic system-- in terms of
a temperature vs. magnetic charge density phase diagram. In spite of its spin
nature and the presence of both double and single non-conserved magnetic
charges, the dipolar model gives place to a phase diagram which is quite
comparable with those previously obtained for on-lattice systems of electric
charges, and on spin ice models with conserved number of single magnetic
charges. The contrast between these systems, to which we add results from the
nearest-neighbours model, put forward other features of our phase diagram
--notably, a monopole fluid with charge order at high monopole densities that
persists up to arbitrarily high temperatures-- that can only be explained
taking into account construction constraints forced by the underlying spin
degrees of freedom.
