total mineral reserve value_t_ = V_t_ =
(TV_t_/TQ_t_ - K_t_/R_t_) R_t_
additions_t_ = (TV_t_/TQ_t_ - K_t_/R_t_)* A_t_
depletions_t_ = (TV_t_/TQ_t_ - K_t_/R_t_) * q_t_
revaluations_t_ = V_t_ - V_t-1_ + depletions_t_ - additions_t_
where TV_t_ = value of reserve transactions, and TQ_t_ = total quantity of reserves transacted, and other variables are as defined in Box 3–3.