Answer : The correct answer is -
4) a process that recycles elements and other matter through the biosphere.
Biogeochemical cycle can be described as natural pathways for the recycling of the nutrients (which are primarily the chemical compounds) through biotic as well se abiotic compartments of an ecosystem.
It is broadly categorised into gaseous (such as oxygen, nitrogen, and water cycle) and sedimentary cycles (that include earthbound elements such as iron, calcium, sulphur etc).
Thus, elements and other matter are recycled through the biosphere in biogeochemical cycle.