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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 Spring '08
 ESTERNBURGER
 Math, 3rd millennium, 71 %, 18 %, 0.18j, 0.33 j

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