<< Chapter < Page Chapter >> Page >
r  (growth rate) =  b  (birth rate) -  d  (death rate)

The value “ r” can be positive, meaning the population is increasing in size; or negative, meaning the population is decreasing in size; or zero, where the population’s size is unchanging, a condition known as zero population growth    . A further refinement of the formula recognizes that different species have inherent differences in their intrinsic rate of increase (often thought of as the potential for reproduction), even under ideal conditions. Obviously, a bacterium can reproduce more rapidly and have a higher intrinsic rate of growth than a human. The maximal growth rate for a species is its biotic potential, or r max .

Predicting population growth

Population growth (G) is the number of individuals that are added to a population in a given period of time. It can be determined using growth rate (r):

G  (population growth) =  r  (growth rate) x  N  (total population size)

Take the example of a population of 1,000 rats, and this population has 150 births every month, along with 50 deaths each month. To predict how quickly this population would grow over the course of several months, the following calculations would be performed:

150 1,000  =  0.15  (birth rate)

Birth rate takes into account the number of births that occur in a given month,

50 1,000  =  0.05  (death rate)

Death rate takes into account the number of births that occur in a given month,

0.15 0.05 0.10  (growth rate)

Growth rate takes into account both the births and deaths that occur, giving us an overall rate of growth for the population,

0.10 1,0000 100  (population growth)

And population growth is the number of individuals added to the population in a given month.

Simply put, the above calculations tell us that in one month, 100 rats were added into the original population of 1,000. To predict the next month's growth apply the population growth calculation again, using the new population size of 1,100. This method of prediction does make a couple of assumptions, however. First, migration patterns are not taken into account. Movement in and out of a population can have significant effects on actual population size. And second, this assumes a constant growth rate throughout time. Growth rate is rarely constant, because the environment is rarely unchanging. Birth and death rates can be significantly affected by random events that happen in the environment, affecting these rates.

In ( [link] ) below, the graph on the left indicates the type of growth pattern when growth rate is constant and there are no limits placed on how fast a population can grow, such as with the rat population from the previous example. The graph on the left however, is a more accurate depiction of how population growth occurs in a natural setting where resources are limiting, and competition for resources almost always exist. This type of growth is called logistic growth.

Both graphs (a) and (b) plot population size versus time. In graph (a), exponential growth results in a curve that gets increasingly steep, resulting in a J-shape. In graph (b), logistic growth results in a curve that gets increasingly steep, then levels off when the carrying capacity is reached, resulting in an S-shape
When resources are unlimited, populations exhibit exponential growth, resulting in a J-shaped curve. When resources are limited, populations exhibit logistic growth. In logistic growth, population expansion decreases as resources become scarce, and it levels off when the carrying capacity of the environment is reached, resulting in an S-shaped curve.

Questions & Answers

distinguish between anatomy and physiology
Amina Reply
Anatomy is the study of internal structure of an organism while physiology is the study of the function/relationship of the body organs working together as a system in an organism.
adeyeye
distinguish between anatomy and physiology
Erny Reply
regional anatomy is the study of the body regionally
Ismail Reply
what is the meaning of regional anatomy
Aminat Reply
epithelial tissue: it covers the Hollow organs and body cavities
Esomchi Reply
in short way what those epithelial tissue mean
Zainab Reply
in short way what those epithelial tissue mean
Chizoba
What is the function of the skeleton
Lilias Reply
movement
Ogar
Locomotion
Ojo
support
Aishat
and body shape/form
Aishat
what is homeostasis?
Samuel Reply
what's physiology
AminchiSunday Reply
what is physiology
AminchiSunday
physically is the study of the function of the body
Najaatu
that is what I want ask
YAU
u are wright
YAU
pls what are the main treatment of hiccups
YAU
physiology is the study of the function of the body
Najaatu
hiccups happen when something irritates the nerves that course your diaphragm to contract
Najaatu
how did hypothalamus manege to control all activities of the various hormones
malual
what is protein
Abdulsalam
how can I treat pain a patient feels after eating meals
Namuli Reply
how do I treat a three year old baby of skin infection?
Okocha Reply
It depends on the type of infection. Bacterial, fungal, parasitic or viral?
schler
if you can share the sign ad symptoms of the skin infection then u geh the treatment cox they're different sign ad symptoms of skin infection with different treatment
Sa
the sign and symptoms of maleria
Abdulsalam
prostaglandin and fever
Maha Reply
yes
rayyanu
welcome sir
rayyanu
prostaglandin E2 is the final mediator.
Lemlem
prostaglandin E2 is the final mediator of fever.
Lemlem
yes
Agabi
good evening
Jediel
tissue.
Akoi
explain
Chizoba
Hi
Anya
,good evening
Anya
Discuss the differences between taste and flavor, including how other sensory inputs contribute to our  perception of flavor.
John Reply
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Ummi Reply
omeprazole
Kamara
what
Renee
what is this
Renee
is a drug
Kamara
of anti-ulcer
Kamara
Omeprazole Cimetidine / Tagament For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
Nency Reply
Not really sure
Eli
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include: 1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Bi 101 for lbcc ilearn campus. OpenStax CNX. Nov 28, 2013 Download for free at http://legacy.cnx.org/content/col11593/1.1
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Bi 101 for lbcc ilearn campus' conversation and receive update notifications?

Ask