This paper presents and evaluates an alternative sorting component for Hadoop based on the replacement selection algorithm. In comparison with the default quicksort-based implementation, replacement selection generates runs which are in average twice as large. This makes the merge phase more efficient, since the amount of data that can be merged in one pass increases in average by a factor of two. For almost-sorted inputs, replacement selection is often capable of sorting an arbitrarily large file in a single pass, eliminating the need for a merge phase. This paper evaluates an implementation of replacement selection for MapReduce computations in the Hadoop framework. We show that the performance is comparable to quicksort for random inputs, but with substantial gains for inputs which are either almost sorted or require two merge passes in quicksort.