  We study an intermittent quasistatic dynamical system composed of
nonuniformly hyperbolic Pomeau--Manneville maps with time-dependent parameters.
We prove an ergodic theorem which shows almost sure convergence of time
averages in a certain parameter range, and identify the unique physical family
of measures. The theorem also shows convergence in probability in a larger
parameter range. In the process, we establish other results that will be useful
for further analysis of the statistical properties of the model.
