Question

1. using model 1 and the letters b, d, e, and i, write mathematical expressions to show the types of populations described below. note: use > for greater than and use < for less than.

a. a stable population (total number of organisms is not changing).

b. a declining population (total number of organisms is decreasing).

c. a growing population (total number of organisms is increasing).

model 2 - survivorship curves

Explanation:

Step1: Analyze stable population

In a stable population, the number of births (B) plus the number of immigrants (I) equals the number of deaths (D) plus the number of emigrants (E). So the expression is \(B + I=D + E\).

Step2: Analyze declining population

For a declining population, the number of deaths (D) plus the number of emigrants (E) is greater than the number of births (B) plus the number of immigrants (I). So the expression is \(B + I

Step3: Analyze growing population

In a growing population, the number of births (B) plus the number of immigrants (I) is greater than the number of deaths (D) plus the number of emigrants (E). So the expression is \(B + I>D + E\).

Answer:

a. \(B + I = D+E\)
b. \(B + Ic. \(B + I>D + E\)