Why are nutrient cycles in nature called biogeochemical cycles?

(N/A) Nutrient cycles are called biogeochemical cycles because they involve the movement of nutrients through both biotic (living) and abiotic (non-living) components of the ecosystem.
$1$. 'Bio' refers to the living organisms (biosphere) that utilize these nutrients.
$2$. 'Geo' refers to the earth's crust,air,and water (geosphere/atmosphere/hydrosphere) which act as reservoirs for these nutrients.
$3$. 'Chemical' refers to the chemical forms and processes (such as fixation,assimilation,and decomposition) that nutrients undergo as they circulate between the living and non-living components in a cyclic manner.