1. The honeybee 'Apis mellifera' is currently in decline worldwide because of the combined impacts of Colony Collapse Disorder and the 'Varroa destructor' mite. In order to gain a balanced perspective of the importance of both wild and managed pollination services, it is essential to compare these services directly, a priori, within a cropping landscape. This process will determine the capacity of other flower visitors to act as honeybee replacements. 2. In a highly modified New Zealand agricultural landscape, we compared the pollination services provided by managed honeybees to unmanaged pollinator taxa (including flies) within a 'Brassica rapa var. chinensis' mass flowering crop. 3. We evaluate overall pollinator effectiveness by separating the pollination service into two components: efficiency (i.e. per visit pollen deposition) and visit rate (i.e. pollinator abundance per available flower and the number of flower visits per minute). 4. We observed 31 species attending flowers of 'B. rapa'. In addition to 'A. mellifera', seven insect species visited flowers frequently. These were three other bees ('Lasioglossum sordidum', 'Bombus terrestris' and 'Leioproctus' sp.) and four flies ('Dilophus nigrostigma', 'Melanostoma fasciatum', 'Melangyna novae'-zelandiae and 'Eristalis tenax'). 5. Two bee species, 'Bombus terrestris' and 'Leioproctus' sp. and one fly, 'Eristalis tenax' were as efficient as the honeybee and as effective (in terms of rate of flower visitation). A higher honeybee abundance, however, resulted in it being the more effective pollinator overall. 6. Synthesis and applications. Alternative land management practices that increase the population sizes of unmanaged pollinator taxa to levels resulting in visitation frequencies as high as 'A. mellifera', have the potential to replace services provided by the honeybee. This will require a thorough investigation of each taxon's intrinsic biology and a change in land management practices to ensure year round refuge, feeding, nesting and other resource requirements of pollinator taxa are met.