  A system can be driven out of equilibrium by both time-dependent and
nonconservative forces, which gives rise to a decomposition of the dissipation
into two non-negative components, called the excess and housekeeping entropy
productions. We derive thermodynamic uncertainty relations for the excess and
housekeeping entropy. These can be used as tools to estimate the individual
components, which are in general difficult to measure directly. We introduce a
decomposition of an arbitrary current into excess and housekeeping parts, which
provide lower bounds on the respective entropy production. Furthermore, we also
provide a geometric interpretation of the decomposition, and show that the
uncertainties of the two components are not independent, but rather have to
obey a joint uncertainty relation, which also yields a tighter bound on the
total entropy production. We apply our results to two examples that illustrate
the physical interpretation of the components of the current and how to
estimate the entropy production.
