ATMOSPHERIC CARBON DIOXIDE AND RADIOCARBON: II 119 



44. M. Stuiver, Yale Natural Radiocarbon Measurements IX, Radiocarbon, 11: 545-658 

 (1969). 



45. H. W. Harvey, The Chemistry and Fertility of Sea Water, p. 160, Cambridge University 

 Press, New York, 1955. 



46. G. Abetti, The Sun, pp. 80, 327, Faber & Faber Ltd., London, 1963. 



47. D. Justin Schove, The Sunspot Cycle, 649 B.C. to A.D.2000, J. Geophys. Res., 60: 127 

 (1955). 



APPENDIX A: GENERAL TIME-DEPENDENT EQUATIONS FOR 

 THE SIX-RESERVOIR MODEL 



Inactive Carbon Svstem 



The governing equations for interacting inactive carbon pools have the 

 general form 



dNi 



= £ (FH-FiO + r; (A.l) 



dt -■: }i ij 



where the sum denoted by S is over all reservoirs j adjacent to reservoir i, Nj 

 refers to the mass of carbon in reservoir i (i - u, b, e, 1, m, or d in accordance 

 with the notation of Fig. 1), t is the time, F;; denotes the flux of carbon from 

 reservoir i to j, and F\ denotes the COj production rate in reservoir i. Tj = 

 except for the lower atmosphere, for which Tj = 7. 

 Specifically: 



Upper atmosphere 



^j- = Flu " F u i = k lu Ni - k u ,N u (A.2) 



Long-lived land biota 



dNb 

 dt 



Short-lived land biota 



= Fi b -F bl (A.3) 



-^ = Fie " F e l (A.4) 



Lower atmosphere 



-rr = Fui - Flu + F e l - F te + F b l - Fi b + k ma P m ~ k am TT^ N l + T (A. 5) 



dt Nio 



Ocean surface layer 



^ = kam ^ N, - C^ + k dm N d - k md N m - F g (A.6) 



