"Closed" and "open" reduced models of two or three most abundant light impu
rity ions in an optically thin hydrogen plasma are considered. The models a
re shown to satisfactorily describe the average ion charge and radiative lo
sses within a wide range of parameters typical of laboratory and astrophysi
cal plasmas, including the case when the relaxation time of the impurity di
stribution over ionization states is comparable to or longer than the chara
cteristic times of the most important dynamic processes. The potentialities
of the models are demonstrated using the carbon impurity as an example. Th
e models proposed make it possible to analytically study the dynamics of a
radiating plasma, obtain qualitatively new results, and significantly reduc
e the computation time when solving complicated self-consistent dynamical p
roblems. (C) 2001 MAIK "Nauka/Interperiodica".