  The parameterized entanglement monotone, the $q$-concurrence, is also a
reasonable parameterized entanglement measure. By exploring the properties of
the $q$-concurrence with respect to the positive partial transposition and
realignment of density matrices, we present tight lower bounds of the
$q$-concurrence for arbitrary $q\geqslant 2$. Detailed examples are given to
show that the bounds are better than the previous ones.
