We investigate the behaviour of single-channel theoretical models of cold and ultracold collisions that take account of inelastic and reactive processes using a single parameter to represent shortrange loss. We present plots of the resulting energy-dependence of elastic and inelastic or reactive cross-sections over the full parameter space of loss parameters and short-range phase shifts. We then test the single-channel model by comparing it with the results of coupled-channel calculations of rotationally inelastic collisions between LiH molecules and Li atoms. We find that the range of cross-sections predicted by the single-channel model becomes increasingly accurate as the initial LiH rotational quantum number increases, with a corresponding increase in the number of open loss channels. The results suggest that coupled-channel calculations at very low energy (in the s-wave regime) could in some cases be used to estimate a loss parameter and then to predict the range of possible loss rates at higher energy, without the need for explicit coupled-channel calculations for higher partial waves., the long-range wavefunction may be expressed in terms of the analytical solutions for the long-range potential [11,12]. The model of Idziaszek and Julienne [6] successfully explained the temperature dependence of reactive KRb+KRb collisions at temperatures below 1 μK, and was later extended [13] to handle the additional − r 3 dipole-dipole potential that exists when the KRb molecules are oriented with an external electric field. More recently, Jachymski et al [14,15] have extended similar models up to the high-temperature limit, and used them to interpret merged-beam experiments on Penning ionization in collisions of metastable He with Ar [4].