rhisform ofthe cguationforexponentialpopulationgrowthexpressestherateofpopulation changeas theproduct ofrand NRate of population.eauals the per capitachangerate ofincrease timesnumberofindividhalsChange innumberdNNumberofINdtChange inindividualstimePer capita ratedNofincrease=rNThis fornofhecquauionfordtexponentialpopulation growthcalculatespopulationsizeThenumber..equals the initial numnberat time t..times eraised to the power rtNumnberoftinmeintervalsoin hours,days.years.etc.N,=NoertBase ofhenaruralPercapitarateofincrlogarithmsofsprinsDCTitervan
= rN dN dt Nt = N0 · ert
ECOLOGYCONCEPZSANDAPPLICAZIONSPOPULATIONGROWIRExponential Growth in Nature
➢ Exponential Growth in Nature
ECOLOGYCONCEPZSANDAPPLICATIONSPOPULATIONGROWIRExponential Growth byTree Population
• Exponential Growth by Tree Population
PollenPolleninlakesediments indicatesFollowingaccumulationthat Scotch pine colonized thecolonization,therate in lakeNorfolkregionof GreatBritainScotchpinesedimentsabout9,5ooyearsagopopulation grewcan be uscdexponentiallyforas an index500yearsof populationsize.50.000ee(sa40.00030.00020.00010,00000250500Pinus sylvestrisYears after colonizingFIGURE 9.5Exponential growth of a colonizing population of Scotchpine, Pinus sylvestris
Pinus sylvestris
ECOLOGYCONCEPZSANDAPPLICAZIONSPOPULATIONGROWIRSlowingExponentialGrowth
• Slowing Exponential Growth