  The field of embodied intelligence emphasises the importance of the
morphology and environment with respect to the behaviour of a cognitive system.
The contribution of the morphology to the behaviour, commonly known as
morphological computation, is well-recognised in this community. We believe
that the field would benefit from a formalisation of this concept as we would
like to ask how much the morphology and the environment contribute to an
embodied agent's behaviour, or how an embodied agent can maximise the
exploitation of its morphology within its environment. In this work we derive
two concepts of measuring morphological computation, and we discuss their
relation to the Information Bottleneck Method. The first concepts asks how much
the world contributes to the overall behaviour and the second concept asks how
much the agent's action contributes to a behaviour. Various measures are
derived from the concepts and validated in two experiments which highlight
their strengths and weaknesses.
