In an optical transmission system, operations of certain elements are adjusted in an individualized manner after detecting a change in the total optical power level corresponding to multiple optical channels in a link of the system in order to control transients in those channels. For example, in response to a sudden drop in the number of channels resulting from a fiber cut, the power levels of the optical pumps in a Raman amplifier in an OADM are adjusted to reduce transient gain errors in the surviving channels, where the adjustment to the pump power level for each different optical pump is a function of both the detected change in the total optical power level and at least one specified coefficient for that particular optical pump, in order to handle non-linearities in the response of the Raman amplifier to the sudden drop in the number of optical channels.