  We investigate Cousin (bi-)complexes in the setting of motives. Over
essentially smooth local schemes, the columns of the Cousin bicomplex with
coefficients in any stable motivic homotopy type are shown to be acyclic. On
the other hand, we also construct a family of non-acyclic Cousin complexes over
any positive dimensional base scheme. Our method of proof employs the notion of
extended compactified framed correspondences.
  Three major motivations for this study are to further our understanding of
strict homotopy invariance, motivic infinite loop spaces, and connectivity in
stable motivic homotopy theory. As applications of our main results on motivic
Cousin complexes, we generalize several fundamental results in these topics to
finite dimensional base schemes.
