Ch_2_Project_KEY

Ch_2_Project_KEY - North Carolina State University MA114 -...

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North Carolina State University MA114 - Finite Mathematics with Applications Chapter 2: Population Dynamics Project Background information We organize the female Spotted Owl population by dividing the population into three age ranges: juvenile ( j ), subadult ( s ), and adult ( a ). These age ranges are defined (in years) below: juvenile: 0 age < 1 subadult: 1 age 2 adult: 2 < age What we are given is that the initial population of female Spotted Owls is 2950, where we have 650 ( j ), 200 ( s ), 2100 ( a ). So we can organize this into a 3 × 1 matrix, denoted by X 0 . X 0 = j s a = 650 200 2100 After one year the population distribution can be represented by the 3 × 1 matrix, denoted by X 1 . X 1 = j s a = 693 117 2116 Question 1. How many subadult females are there after one year? Answer: 117, since ( s ) represents subadults in the X 1 matrix. Question 2. Did the total population of females increase or decrease during the year? Answer: Decrease, because the sum of all the entries in X 1 is less than the original population. Now we denote A as the matrix representing the population dynamics of the population of female Spotted Owls over a year. A
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Ch_2_Project_KEY - North Carolina State University MA114 -...

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