On the 1- adjoint canonical divisor of a foliation

In this paper, we describe the structure of the negative part of a Zariski decomposition of \(K_X+K_{{{\mathcal {F}}}}\) $K_X+K_{\mathcal{F}}$ for a relatively minimal foliation \((X,{{\mathcal {F}}})\) $(X,\mathcal{F})$ whenever \(K_X+K_{{{\mathcal {F}}}}\) $K_X+K_{\mathcal{F}}$ is pseudoeffective.