We propose a new method for measuring and decomposing input‐specific productivity change in a dynamic context. The resulting input‐specific dynamic Luenberger productivity change indicator is decomposed to identify the contributions of input‐specific dynamic technical, technical inefficiency and scale inefficiency changes. The empirical application of the paper focuses on panel data of large firms in the European dairy processing industry over the period 2005–2012. The results show similar patterns for dynamic input‐specific productivity change and its components for labour across European regions (Eastern, Western and Southern), while differences between regions are found regarding materials and investments.