@yas2010,
LET THE POPULATION OF YEAR 1999 BE m AND THAT OF YEAR 2000 BE n , ASSUME 1999 TO BE 1(=t) IN A NEW TIME SCALE DENOTED AS "t" THEN FOR t=2 FOR YEAR 2000 AND t=22 FOR YEAR 2020. ASSUME THAT
THE POPULATION(y) AT ANY TIME t > 0 SATISFIES y= a( t^u) + b( t^v) WHERE a AND b ARE CONSTANTS TO BE DETERMINED AND u AND v ARE INTEGERS "AT ONE S OWN CHOICE". CONSTANTS a AND b ARE DETERMINED BY SOLVING m=a +b AND n= a (2^u) + b (2^v) SINCE,"m" AND " n" ARE KNOWN, AND WE GET THE POPULATION AT YEAR 2020 AS y=a (22^u) + b (22^v) . THE MAIN DRAWBACK OF THE SAID CONSIDERATION IS THE DETERMINATION OF THE INTEGERS u AND v WHICH ARE LEFT AT ONES OWN CHOICE WHICH IS NOT MATHEMATICALLY RIGOROUS,EVEN THE RELATION,AT FIRST ASSUMED BETWEEN y AND t MAY NOT HOLD.STILL I THINK THAT THE ABOVE METHOD PROVIDES AN APPROXIMATELY SATISFACTORY METHOD FOR DETERMINING THE POPULATION.