Combinatorial R matrices for a family of crystals : B⁽¹⁾_n, D⁽¹⁾_n, A⁽²⁾_(2n) and D⁽²⁾_(n+1) cases

For coherent families of crystals of affine Lie algebras of type B^{(1)}_n, D^{(1)}_n, A^{(2)}_{2n} and D^{(2)}_{n+1} we describe the combinatorial R matrix using column insertion algorithms for B,C,D Young tableaux.