Loggerhead Sea Turtle ConservationBen Marshall and Alex VarnerDecember 16, 2009Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationTable: Stage Based Life Table for Loggerhead Sea TurtlesStage Class Size(cm) Ages(yr) Survival Fec.1 eggs/hatchlings < 10 < 1 .6747 02 sm. juveniles 10.1-58 1-7 .7857 03 lg. juveniles 58.1-80 8-15 .6758 04 subadults 80.1-87 16-21 .7425 05 novice breeders > 87 22 .8091 1276 1st-yr remigrants > 87 23 .8091 47 mature breeders > 87 24-54 .8091 80Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationSurvival and FecundityIPiIThe probability of survival while in a stage iIFiIBirth rates for each stageBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationSurvival and FecundityIPiIThe probability of survival while in a stage iIFiIBirth rates for each stageBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationStage 1 PopulationIn(t+1)1= P1n(t)1+ F2n(t)2· · · + F7n(t)7ISurvivors and hatchlingsBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationStage 1 PopulationIn(t+1)1= P1n(t)1+ F2n(t)2· · · + F7n(t)7ISurvivors and hatchlingsBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationMatrix ModelIn(t+1)1= P1n(t)1+ F2n(t)2· · · + F7n(t)7P1F2F3F4F5F6F7n(t)1n(t)2n(t)3n(t)4n(t)5n(t)6n(t)7=n(t+1)1Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationSurvival and FecundityIPiIThe probability of survival while remaining insame stageIFiIBirth rates for each stageIGiIProbability of advancing to the nextstageBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationSurvival and FecundityIPiIThe probability of survival while remaining insame stageIFiIBirth rates for each stageIGiIProbability of advancing to the nextstageBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationSurvival and FecundityIPiIThe probability of survival while remaining insame stageIFiIBirth rates for each stageIGiIProbability of advancing to the nextstageBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationStage 2 PopulationIn(t+1)2= G1n(t)1+ P2n(t)2INew stage members and surviving stagemembersBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationStage 2 PopulationIn(t+1)2= G1n(t)1+ P2n(t)2INew stage members and surviving stagemembersBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationMatrix Model cont.In(t+1)2= G1n(t)1+ P2n(t)2IP1F2F3F4F5F6F7G1P2n(t)1n(t)2n(t)3n(t)4n(t)5n(t)6n(t)7=n(t+1)1n(t+1)2Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationMatrix Model cont.In(t+1)2= G1n(t)1+ P2n(t)2IP1F2F3F4F5F6F7G1P2n(t)1n(t)2n(t)3n(t)4n(t)5n(t)6n(t)7=n(t+1)1n(t+1)2Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationFinal Matrix ModelIP1F2F3F4F5F6F7G1P2G2P3G3P4G4P5G5P6G6P7n(t)1n(t)2n(t)3n(t)4n(t)5n(t)6n(t)7=n(t+1)1n(t+1)2n(t+1)3n(t+1)4n(t+1)5n(t+1)6n(t+1)7Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationCalculating FiIFiis easy.Table: Stage Based Life Table for Loggerhead Sea TurtlesIStage Class Size(cm) Ages(yr) Survival Fec.1 eggs/hatchlings < 10 < 1 .6747 02 sm. juveniles 10.1-58 1-7 .7857 03 lg. juveniles 58.1-80 8-15 .6758 04 subadults 80.1-87 16-21 .7425 05 novice breeders > 87 22 .8091 1276 1st-yr remigrants > 87 23 .8091 47 mature breeders > 87 24-54 .8091 80IFound in far right column.Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationCalculating FiIFiis easy.Table: Stage Based Life Table for Loggerhead Sea TurtlesIStage Class Size(cm) Ages(yr) Survival Fec.1 eggs/hatchlings < 10 < 1 .6747 02 sm. juveniles 10.1-58 1-7 .7857 03 lg. juveniles 58.1-80 8-15 .6758 04 subadults 80.1-87 16-21 .7425 05 novice breeders > 87 22 .8091 1276 1st-yr remigrants > 87 23 .8091 47 mature breeders > 87 24-54 .8091 80IFound in far right column.Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationCalculating FiIFiis easy.Table: Stage Based Life Table for Loggerhead Sea TurtlesIStage Class Size(cm) Ages(yr) Survival Fec.1 eggs/hatchlings < 10 < 1 .6747 02 sm. juveniles 10.1-58 1-7 .7857 03 lg. juveniles 58.1-80 8-15 .6758 04 subadults 80.1-87 16-21 .7425 05 novice breeders > 87 22 .8091 1276 1st-yr remigrants > 87 23 .8091 47 mature breeders > 87 24-54 .8091 80IFound in far right column.Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationStage Specific Survival piIEach stage has specific survival rate, found intableTable: Stage Based Life Table for Loggerhead Sea TurtlesIStage Class Size(cm) Ages(yr) Survival Fec.1 eggs/hatchlings < 10 < 1 .6747 02 sm. juveniles 10.1-58 1-7 .7857 03 lg. juveniles 58.1-80 8-15 .6758 04 subadults 80.1-87 16-21 .7425 05 novice breeders > 87 22 .8091 1276 1st-yr remigrants > 87 23 .8091 47 mature breeders > 87 24-54 .8091 80Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationStage Specific Survival piIEach stage has specific survival rate, found intableTable: Stage Based Life Table for Loggerhead Sea TurtlesIStage Class Size(cm) Ages(yr) Survival Fec.1 eggs/hatchlings < 10 < 1 .6747 02 sm. juveniles 10.1-58 1-7 .7857 03 lg. juveniles 58.1-80 8-15 .6758 04 subadults 80.1-87 16-21 .7425 05 novice breeders > 87 22 .8091 1276 1st-yr remigrants > 87 23 .8091 47 mature breeders > 87 24-54 .8091 80Ben Marshall and Alex Varner Loggerhead Sea Turtle ConservationCalculating GiTable: Population and SurvivalIPop. YearsM 1Mpi2Mp2i3Mp3i4Mp4i5Mp5i6Mp6i7IEligible:Mp5iM + Mpi+ Mp2i+ Mp3i+ Mp4i+ Mp5iBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationCalculating GiTable: Population and SurvivalIPop. YearsM 1Mpi2Mp2i3Mp3i4Mp4i5Mp5i6Mp6i7IEligible:Mp5iM + Mpi+ Mp2i+ Mp3i+ Mp4i+ Mp5iBen Marshall and Alex Varner Loggerhead Sea Turtle ConservationCalculating Gicont.IProportion:p5i1 + pi+ p2i+ p3i+ p4i+ p5iIHit