Recent studies using the ROSAT All-Sky Survey (RASS) towards nearby st
ar-forming regions have identified a widely dispersed population of X-
ray active stars, and have suggested that these objects are older pre-
main-sequence stars (post-T Tauri stars) located far from molecular cl
ouds. We argue that the majority of these stars are not pre-main-seque
nce stars, but young main sequence stars of ages up to similar to 10(8
) yr. A simple model assuming continuing star formation over the past
10(8) yr quantitatively reproduces the number, surface density, X-ray
emission, and optical properties of the RASS sources; Most of these st
ars are old enough to have dispersed far from their birth sites in mol
ecular clouds, producing a relatively homogeneous spatial distribution
of X-ray sources near the galactic plane. We conclude that the RASS r
esults yield little evidence for a post-T Tauri population. We emphasi
ze the importance of recognizing this wide-spread spatial distribution
of 10(8) yr stars in searches for possible older weak-emission T Taur
i stars among X-ray selected samples in nearby star-forming regions. (
C) 1997 American Astronomical Society.