We compare chemical abundances of Local Group dwarf spheroidals, obtained from recent UVES/VLT observations, and of high redshift Damped Lyman alpha systems (DLAs), corrected for dust effects. We focus, in particular, on the abundance ratio between alpha-capture elements and iron, alpha/Fe, a well known indicator of chemical evolution. Comparison of the data in the plane alpha/Fe versus Fe/H shows a remarkable similarity between the dwarf spheroidals and the DLAs, suggestive of a common trend in their chemical evolution. At any given metallicity these two distinct types of astronomical targets show alpha/Fe ratios systematically lower than those of Milky Way stars. In terms of chemical evolution models, this suggests that, on average, dSph galaxies and DLA systems are characterized by lower, or more episodic, star formation rates than the Milky Way.

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