During exponential growth, a population always (A) has a...

During exponential growth, a population always
(A) has a constant per capita population growth rate.
(B) quickly reaches its carrying capacity.
(C) cycles through time.
(D) loses some individuals to emigration.

Key Concepts

Exponential Growth

Exponential growth describes a pattern in which a population increases by a constant multiplier over equal time intervals. This results in a rapid, accelerating increase in population size when resources are unlimited, and is typical of populations during the initial phases of expansion before factors like resource depletion or density-dependent effects intervene.

Per Capita Growth Rate

The per capita growth rate represents the average contribution of each individual to the population's growth. During exponential growth, this rate remains constant, meaning that every individual has the same reproductive output relative to the population size, which leads to the characteristic exponential increase in population numbers.

Transcript

00:01 Okay, let's take a look at exponential growth in populations.

00:21 The easiest way that we can take a look at this is to graph it out.

00:28 So we're looking at a certain growth in a population over a given amount of time.

00:37 So we have either we have time or we have generations that is along our x axes.

00:50 So remember we're going to start at zero, five, ten, fifteen, either years past, generation times here.

01:07 And then on our y, we're looking at our population size.

01:13 So how is that changing over time? and that's going to be n.

01:26 So n is the number of individuals in that population or the given population size.

01:44 So an exponential growth is the population size increases exponentially at a constant rate per individual.

02:13 And so it makes what we call a j curve.

02:16 Okay, so that's our line.

02:26 So it's going to keep pretty much from 5 to 10.

02:35 It keeps increasing in population number.

02:45 The equation that shows this is d and the change in population size over the change in time actually equals the constant as the intrinsic rate of increase, times the population.

03:19 So you'll see that more individuals are added when the population is smaller, and thus it progresses deeper over time because the population growth depends on end.

03:44 So we're only looking at here in this for the population size, the births and the deaths that occur in that population...

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