ATMOSPHERIC CARBON DIOXIDE AND RADIOCARBON: II 129 



k 2 =a mg R m0 k dm ^— -^-J 



•J, 



ttbaFbO 



Nbo 

 *, _a a bFbo 



n. 



_ a baF e o 

 N e o 



ftabFeo 

 Nlo 



U 



*/< =/ 



5 - '5 



6 = ^6 



*/« =/ 



k 3 =- 



Nlo 



•^4 _ ^ma^an 



Nao 1 

 ' N m0 00 



a N m0 W d 1 N d0 



ftmg W^N7o (1 amg > m0 kdm 



*k 5 = 

 *k 6 = k 6 



The symbol Nj^o refers to the total mass of inorganic carbon in the ocean 

 surface layer (= W m SC). In deriving the expressions for k l7 k 2 , *k 4) and *k 5 , 

 we have made the approximation R£, = R m . The expression for 0, O , and % 

 are given in Appendix D. 0/0o is related to % by 



i = l^(n m /N ao ) (C36) 



0o 1 + (n m /Nmo) 



Thus only £ or 0/0 o need appear in the coefficient equations; however, it was 

 convenient to use both. 



For calculations of radiocarbon, Eqs. C.3 through C.24 were used with 

 constant values of all factors and terms except the source terms y and *y and the 

 chemical factors £ and 0/0 o - The latter were stepped by the procedure 

 described in Appendix D. The governing equations for transfers involving the land 

 biota were approximated by retaining only the first-order term in the Taylor 

 expansion for F^, F51, F) e , and F e j. Equations for the oceans were similarly 

 approximated by replacing RJ^J with R m and retaining only first-order terms in 

 the expansions of R m /R m o and R m Pm/RmoPmo- For the five-reservoir 



