  In this work, we study the arising of correlations among some isoscalar
($K_o$, $Q_o$, and $I_o$) and isovector ($J$, $L_o$, $K_{sym}^o$, $Q_{sym}^o$,
and $I_{sym}^o$) bulk parameters in nonrelativistic and relativistic hadronic
mean-field models. For the former, we investigate correlations in Skyrme and
Gogny parametrizations, as well as in the nonrelativistic (NR) limit of
relativistic point-coupling models. We provide analytical correlations among
bulk parameters for the NR limit, discussing the conditions in which they are
linear ones. Based on a recent study [B. M. Santos et al., Phys. Rev. C 90,
035203 (2014)], we also show that some correlations presented in the NR limit
are reproduced for relativistic models presenting cubic and quartic
self-interactions in the scalar field $\sigma$, mostly studied in this work in
the context of the relativistic framework. We also discuss how the crossing
points, observed in the density dependence of some bulk parameters, can be seen
as a signature of linear correlations between the specific bulk quantity
presenting the crossing, and its immediately next order parameter.
