  We examine different phenomenological interaction models for Dark Energy and
Dark Matter by performing statistical joint analysis with observational data
arising from the 182 Gold type Ia supernova samples, the shift parameter of the
Cosmic Microwave Background given by the three-year Wilkinson Microwave
Anisotropy Probe observations, the baryon acoustic oscillation measurement from
the Sloan Digital Sky Survey and age estimates of 35 galaxies. Including the
time-dependent observable, we add sensitivity of measurement and give
complementary results for the fitting. The compatibility among three different
data sets seem to imply that the coupling between dark energy and dark matter
is a small positive value, which satisfies the requirement to solve the
coincidence problem and the second law of thermodynamics, being compatible with
previous estimates.
