Modeling Population Growth of Local Animal Species by
Modeling Population Growth of Local Animal Species by Age Groups …and using this mathematical model to make predictions about future populations
Defining the Model •
Defining the Model…continued •
Species 1: Black Bear There are three age groups in the population of black bear assuming that no black bear survive past 18 years. • Group 1: ages (0, 1) • Group 2: ages [1, 4) • Group 3: ages [4, 18) We assume they do not survive past age 18
Survival •
Group 2: Ages [1, 4) •
Group 3: Ages [4, 18) •
Generalizing •
Definition and Properties of Matrices •
Matrix Multiplication •
Matrix Multiplication •
Matrix Multiplication •
Matrix Multiplication •
Matrix Multiplication •
Matrix Multiplication •
Matrix Multiplication •
Matrix Multiplication •
Matrices are the way computers read equations •
Converting Matrices into Equations •
Recall our Black Bear •
The Matrix will be •
Matrix Equations •
GUI Input: Black Bear For each species we need 4 inputs for each age group: • • Initial population Highest age Birth rate Death rate
GUI: Black Bear
GUI: Black Bear
GUI: Black Bear
GUI: Black Bear
GUI: Black Bear
GUI: Black Bear
GUI Graph: Black Bear
Matrix Equations •
GUI INPUT: Mourning Dove
GUI INPUT: Mourning Dove
GUI INPUT: Mourning Dove
GUI INPUT: Mourning Dove
GUI INPUT: Mourning Dove
GUI INPUT: Mourning Dove
GUI Graph: Mourning Dove
GUI: Humpback Whale 126 414
The End
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