124 BACASTOW AND KEELING 



We use A;; and *A;; to denote the net flux of carbon and radiocarbon, 

 respectively, from reservoir i to reservoir j, relative to the preindustrial state. We 

 also introduce sets of coefficients kj, l\, *k\, and */j to simplify the writing of the 

 perturbation equations. 



Inactive Carbon System 



Upper atmosphere 



Long-lived land biota 



Short-lived land biota 



__A lu (C3) 



^ = A lb (C.4) 



^ = A le fC.5) 



dt 



Lower atmosphere 



Ocean surface layer 



Deep sea 



where 



-£U-A lu -Ai b -A, e +A ml +7 (C.6) 



at 



^=-A ml -A md (C.7) 



^ = A md (C.8) 



A, u = -/ 5 n u +/ 6 n, (C.9) 



Aib = -/in b +/ 2 ni (CIO) 



Aj e = — / 3 n e + / 7 nb + Un\ (C.ll) 



A m l = — k 3 nj + k 4 n m (C.12) 



A m d = -k 6 nd + k 5 n m (C.13) 



Radiocarbon System 



Upper atmosphere 



^+*x)*n u = *A lu + *T (C14) 



