Thompson Variations on a simple dynamic pool model 73 1 



In the special case where <7=0, Equation A22 gives Equation A14 can be solved explicitly for q. The lo- 



the following polynomial solution for F' max : cus at which F' MSi =1 is given by 



£r£|i(-l «SX*% ,-, *+y,, ^ kik )k']f;„j=0. ( A23 ) I [(-1 *®e* r ' r (ll (miT+2) 2 W + l)l 



,=oL>o\*=o /J q = * ° L ^""* i J, (A24) 



Z|"(-l)*(5)er* r/ W'll (mK'+2) 2 \kK+2)~\ 



*=o I 



