A method of making a market pulp can include separating a slurry comprising a plurality of pulp fibers into at least first and second pulp feeds. The first pulp feed can be refined at least by, for each of one or more mechanical refiners, introducing the first pulp feed between two refining elements of the refiner and rotating at least one of the refining elements, each of the refining elements comprising a plurality of bars and a plurality of grooves, where a width of each of the bars is less than or equal to 1.3 mm and a width of each of the grooves is less than or equal to 2.5 mm. The refiner(s) can consume at least 300 kWh per ton of fiber. The refined first pulp feed and second pulp feed, which is not refined, can be combined to produce a third pulp feed that can be dried.