Suppose we stock a pond with 100 fish and note that the population doubles in the first year (with no harvesting), but after a number of years, the population stabilizes at what we think must be the carrying capacity of the pond: 2,000 fish. Growth seems to have followed a logistic curve. a. What population size should be maintained to achieve maximum yield, and what would be the maximum sustainable fish yield? b. If the population is maintained at 1,500 fish, what would be the sustainable yield?

Answers

Answer 1

Answer:

Explanation:

From the given information,

The first process is to determine the initial growth rate by using the formula:

[tex]R_o = \dfrac{In(2)}{t_d}[/tex]

where;

The initial growth rate(constant) = [tex]R_o[/tex] ; &

the doubling time = [tex]t_d[/tex] = 1 year

[tex]R_o = \dfrac{In(2)}{1 \ year}[/tex]

[tex]R_o[/tex] = 0.693 / year

Now, we move up to the net stage to find the growth constant by using the formula:

[tex]r = \dfrac{R_o}{(1 - \dfrac{N_o}{K})}[/tex]

where;

[tex]N_o[/tex] = population of fish in the pond = 100

[tex]R_o[/tex]  = The initial growth rate(constant)  = 0.693 /year

K = carrying capacity = 2000

Then;

[tex]r = \dfrac{0.693 \ /year }{(1 - \dfrac{100}{2000})}[/tex]

[tex]r = \dfrac{0.693 \ /year }{(1 - 0.05)}[/tex]

[tex]r = \dfrac{0.693 \ /year }{(0.95)}[/tex]

r = 0.730 / year

a)

Now, the maximum yield can be evaluated by using the expression:

[tex]= \dfrac{rk}{4}[/tex]

[tex]= \dfrac{0.730 \times 2000}{4}[/tex]

= 365 fish per year

Also, the maximum sustainable yield is said to be half of the carrying capacity suppose that the population growth obeys logistic curve;

i.e.

[tex]N' = \dfrac{1}{2} \times 2000[/tex]

N' = 1000 fish

b)

If the population is maintained at 1500 fish;

The sustainable yield can be calculated by using the formula:

The Sustainable yield = [tex]r\times N (1 - \dfrac{N}{K})[/tex]

The Sustainable yield = [tex](0.730/ year ) (1500) (1 - \dfrac{1500}{2000})[/tex]

The Sustainable yield = 1095 × 0.25

The Sustainable yield = 273.75 fish per year

The Sustainable yield ≅ 274 fish per year

Answer 2

Population size should be maintained to achieve maximum yield and Sustainable yield if population is maintained at 1,500 fish are 364.7 , 273.525 fish per year

Sustainable yield:

Given that;

Stock in start = 100 fish

Double in 1 year

Capacity of pond = 2000 fish

Find:

Population size should be maintained to achieve maximum yield

Sustainable yield if population is maintained at 1,500 fish

Computation:

Growth rate = ln₂ / 1

Growth rate = 0.693 per year

With no growth constraint r = [tex]\frac{0.693}{1-\frac{100}{2000} }[/tex]

With no growth constraint r = 0.7294 per year

A. Population size should be maintained to achieve maximum yield = [tex]\frac{0.7294 \times 2000}{4}[/tex]

Population size should be maintained to achieve maximum yield = 364.7 fish per year

B. Sustainable yield if population is maintained at 1,500 fish = [tex][(0.7294))(1500)][1-\frac{1500}{2000} ][/tex]

Sustainable yield if population is maintained at 1,500 fish = 273.525 fish per year

Find out more information about 'Sustainable yield'

https://brainly.com/question/24614592?referrer=searchResults


Related Questions

what is the main function of nervous tissue? a: to transport materials and defend the body, b. send signals to control the body, c. contract the casue movement in the body, d. cover the body to protect other cells

Answers

Answer: to contract to cause movement in the body

Explanation:

AP*X

The main function of nervous tissue C. contract causes movement in the body.

What is the main function of the nervous system and how is it structured?

The nervous system is a complex collection of nerves and specialized cells known as neurons that transmit signals between different parts of the body. It is essentially the body's electrical wiring. Structurally, the nervous system has two components: the central nervous system and the peripheral nervous system.

Conclusion: The nervous system is a highly integrated system. The nervous system has three overlapping functions based on sensory input, integration, and motor output. At a more integrative level, the primary function of the nervous system is to control and communicate information throughout the body.

Learn more about the Nervous system here https://brainly.com/question/869589

#SPJ2

Which term refers to the fact that naturally occurs omg he universe

Answers

Answer:

Scientific law.

Explanation:

A scientific law is a statement that the scientific community elaborates on after observing a natural phenomenon and performing several experiments concerning certain phenomena. Scientific laws aim to explain the reasons why something happens and what may cause it to predict it in the future.

If you were beamed into the Earth's outer core and you wanted to move to somewhere cooler you would:

Answers

No you don’t. Cooler by the way

Is your prediction supported by the membrane potential chart? Explain your answer.

Answers

Answer:

Yes, it is. The chart shows that the initial charge of the neuron is negative. When the neuron is stimulated, sodium ions enter the cell. So, the voltage inside the cell changes to positive. When potassium ions move outward, the voltage decreases until it reaches its previous state.

Explanation:

Plato answer

We know gender differences are based in biology because all cultures practice the same gender norms and ideologies.




True

False

Answers

Answer:

false

Explanation:

not all cultures practice the same gender norms and ideologies

False❤️
It is what the other person said, please give them brainliest for being smart

large balen whales, and even whale sharks feed primarily on plankton communities. How can such samll organism provide food for such large animals?​

Answers

Answer:

plankton my look small but if you have a micoscope they are pretty big and no not because it is zoomed on them

Explanation:

do not question me smarts i am smart tho lot smarter then you think i am

The fruits have several purposes. Which purposes might be similar to those of a cone?

Answers

Answer:

Flowers and cones have different structures. Cones when mature have a woody texture and is made up of scales while flowers have colorful petals, sepals and both male and female reproductive portions are called stamens and pistils.

Explanation:

Answer:

the other side of a cone

Explanation:

Which is the best description of photophosphorylation?

Answers

photophosphorylation refers to the use of light energy from photosynthesis to ultimately provide the energy to convert ADP to ATP, thus replenishing the universal energy currency in living things .

Which of the following is not a viral disease : (needed ASAP)

1. AIDS
2. Typhoid
3. Mumps
4. Polio ​

Answers

Answer:

It is typhoid. typhoid is not a viral disease

Answer:

Typhoid is not a viral disease.

Explanation:

Viral diseases are spread through virus particles, while typhoid is spread from typhi bacteria.

Which of these is an environmental benefit of converting to solar energy?
O A. an increase in the use of fossil fuels
O B. a decrease in air pollution
O C. an increase in the cost of energy
O D. a decrease in electrical energy production

Answers

Answer:

i think it's the first one

The answer is B. a decrease in air pollution.

in an experiment the group is exsposed to the varible to be tesetd is called the

Answers

Answer: Experimental Group

Explanation: This group is being scientifically tested on and is exposed to the variable. Compared to a Control Group which doesn’t get scientifically tested on and isn’t exposed to the variable.

Hope this helps you, sweetie!

HELP ME ASAP!!!!
Select the correct answer.
Gina is scuba diving when she notices a large fish glide over her. It has a flattened body and she notices gills on its underside. Which taxonomic
group does the fish belong to?
A.
Selachii
B.
Batoidea
C.
Sarcopterygii
D.
Actinopterygii

Answers

Answer:

Your answer is B) Batoidea. Batoidea is a superorder of cartilaginous fishes commonly known as rays.

Answer:

b because the guy above me said so

Which valve allows for the blood to be pumped into the aorta?

Answers

Answer:

Aortic Valve

Explanation:

I just know it

Plants and animal cells are examples of
cells
O prokaryotic cells
O eukaryotic cell

Answers

Answer:

eukaryatic which the RH whitthakar was divided PLANTAE and animalia kingdoms in eukaryotes

The graph shows the predicted change in land usage when the population growth rate is positive and average. What effect would average population growth have on land usage?

Answers

The effect that the average population growth would have on land usage, considering the given graph is that: Option D.

What is Urban Land Use?

Urban land use can be described as the level of activities reflected by a location which involves the following:

RetailingManufacturingResidenceInstitutional and public buildingsTransportation, among others.

Urban land use increases, normally, as population increases. From the graph shown, the purple line shows urban land use increased above 30%.

Therefore, the effect that the average population growth would have on land usage, considering the given graph is that: Option D.

Learn more about urban land usage on:

https://brainly.com/question/818787

Answer:

Urban use of land rises to more than 30 percent of available land

Explanation:

help and not just guess i need someone who actually knowz

Answers

Answer:

no

Explanation:

though the waves of the graph are same but it is not constant because the waves goes down and up again. we know constant is what goes without falling down or climbing up.

How do plants contribute to the water cycle?

Answers

Answer:

Plants absorb water from the soil. The water moves from the roots through the stems to the leaves. Once water reaches the leaves, some of it evaporates from the leaves, adding to the amount of water vapor in the air. This process of evaporation through plant leaves is called transpiration.

I really hope this helps!

Plants contribute to the water cycle in several ways through Transpiration, evaporation, Precipitation: and infiltration.

How do we explain?

Plants take in water through their roots and transport it up to their leaves. As water evaporates from the leaves, it creates a force that pulls more water up from the roots through a process called transpiration, and it is a major way that water moves through the atmosphere.

Water from plants and soil also evaporates into the atmosphere. This process is called evaporation, and it is another important way that water moves through the water cycle.

When water vapor in the atmosphere cools, it condenses and falls back to Earth as precipitation. This can be in the form of rain, snow, sleet, or hail.

Learn more about water cycle at:
https://brainly.com/question/25796102

#SPJ6

The Ebola virus can often have symptoms similar to bacterial pneumonia, an infection of the lungs. These symptoms include chest pains, shortness of breath, and fever. Which statement best summarizes the differences between these two diseases? (SC.6.L.14.6)a.Viruses can replicate because they are living organisms, while bacteria cannot. b.Viruses are not living organisms, but bacteria are living. c.Viruses can be beneficial to live organisms but bacteria are often infectious. d.Viruses are living organisms, while bacteria are not.

Answers

Answer:

Eblow is a terrible thing.

Explanation:

Answer:

I think its, option b) Viruses are not living organisms, but bacteria are living.

Explanation:

The other options don't fit "summarize the differences b/w bacteria and virus", or simply don't make sense...  

Bacteria can replicate as well, not only virus, so that cannot be a difference

The virus is often the one being more dangerous, there is something called "good bacteria"

A virus isn't  living, (for the sake of this answer), and we all know for sure that bacteria is living

So, that's how option b is correct

I hope this helped you!!

Put these steps of solar system formation in order

Answers

Answer:

Explanation: I tried to use the answer that was on there and it was wrong so I got that answer wrong luckily it tells the the correct answer

Answer: Answer is explained below.

Explanation:

Solar system formation put in order:

A solar nebula forms. Gravity pulls the solar nebula upon itself.The solar nebula spinsfaster and faster.The solar nebula flattens into a disk. Gas becomes hot and dense and forms a star.

Hope this helps someone. Good luck everyone!  

*Karma will go after the next person who deletes my answer. How dare you!

Covalent bonds can be best described as neutral atoms coming together to share electrons. neutral atoms coming together to create electrons. ionized atoms coming together to trade electrons. ionized atoms coming together to destroy electrons.

Answers

Answer:

neutral atoms coming together to share electrons.

Explanation:

Answer:

The answer is neutral atoms coming together to share electrons.

Explanation:

Bc covalent compounds are compound whose atoms form bonds by sharing electrons

Have a great day!!

Is thigmotropism is caused by water?

Answers

Answer: No. Hydrotropism is caused by water

Explanation:

Succession Interactive!

What is the difference between primary succession and

secondary succession?

Primary succession occurs in an area that is disrupted by a

fire or other natural disaster but secondary succession does

not.

Primary succession occurs after secondary succession.

Primary succession involves only plants but secondary

succession involves animals too.

Primary succession occurs in an area with no life and no soil

but secondary succession happens in an area where an

existing community was disrupted.

Answers

Answer:

Primary succession occurs in an area with no life and no soil but secondary succession happens in an area where an existing community was disrupted.

Explanation:

Ecological succession, which is the series of changes that occurs in an ecosystem over a period of time, can be divided into two types namely: primary succession and secondary succession.

- Primary succession is a kind of succession in which a bare surface or rock is colonized by certain organisms called PIONEERS. Primary succession occurs in an area with no life and no previous soil.

- On the contrary, secondary succession occurs in an area that has been previously colonized but disturbed as a result of natural occurrences e.g earthquake, wildfire, flooding etc.

Explain in a few sentences how the carbon, nitrogen, and phosphorus overlap. How do these cycles cross paths through earths spheres?

Answers

Answer:

Explanation:Energy flow and nutrient circulation are the major functions of the ecosystem.

Energy is lost as heat forever in terms of the usefulness of the system. On the other hand, nutrients of food matter never get used up. They can be recycled again and again indefinitely.

Carbon, hydrogen, oxygen, nitrogen and phosphorus as elements and compounds makeup 97% of the mass of our bodies and are more than 95% of the mass of all living organisms.

In addition to these, about 15 to 25 other elements are needed in some form for the survival and good health of plants and animals.

These elements or mineral nutrients are always in circulation moving from non-living to living and then back to the non-living components of the ecosystem in a more or less circular fashion.

This circular fashion is known as biogeochemical cycling (bio for living; geo for atmosphere).

Among the most important nutrient cycles are the carbon nutrient cycle and the nitrogen nutrient cycle.

There are many other nutrient cycles that are important in ecology, including a large number of trace mineral nutrient cycles.

Porcupines have long sharp hairs called quills. What is the main function of the quills on the porcupine?

Answers

Answer:protection from other predators.

Explanation: the quills will stick into a predator that attack the porcupine Note: it does NOT shoot its quills

Answer: protection from other predators.

Which is a component of cell theory?

a.All living things grow into cells.
b.All living things are made of cells.
c.Cells come from nonliving matter.
d.Cells come from non-cells.

Answers

the answer is B. all living things are made of cells

Answer:

B.

Explanation:

That's true without cells we wouldn't live.

What effect does studying with music have on student test scores hypothesis?

Answers

Answer:

It helps them to focus

Explanation:

some people focus better when listening to music

Answer:

For some students it can help and for some it cant

Explanation:

Please someone help me with my Biology questions. PLEASE ​

Answers

Which Questions. I cant find them

Answer:

I cant see the question

Explanation:

Please select the word from the list that best fits the definition

Brings dry, clear weather

Answers

Answer:

conduction?

Explanation:

Answer:

anticyclone/2nd one down

how do unicellular and multicellular organisms differ?​

Answers

Answer:

Unicellular organisms- Organisms which have only single cell are called unicellular organisms.

Multicellualr organisms- Organisms with many cells are called multicellular organisms.

Answer:

multicellular organisms need organs to function properly

Explanation:

The Hawaii Islands were formed as a result of
A. lava flowing over Earth's surface where two tectonic plates move apart
B. an oceanic plate moving over a mantle hot spot
C. two oceanic plates colliding to form an island arc
D. tectonic plates sliding past each other

Answers

The correct answer is A

Answer:

a is your answer

Explanation:

Other Questions
have a nice day! and guudnight!!for the best quote gets brainliest! Write out everything. Fill in the blank.1. _____ volunteered to lead westerners campaign and surveyor along the Ohio and Kentucky rivers.2. _______ a young French man bought his own ship and arrive in America in 1777.3. I was dressed as a man and fought in served battles, who I am?_____.4. The ______ were _____ foreign soldiers who fought not out of loyalty, but for pay.5. Patriot troops led by ________ captured Montreal in _____.6. ______ an experience military officer and train the American troops.7. On October 11, 1777, ______ was forced to surrender his entire army to General Horatio Gates.8. The Continental army was running very low on ___ and ___.Write these two questions in a complete sentence.1. Why did the Patriots called John Paul Jones a naval hero?2. What Marquis de Lafayette did to help support the Patriots in the Revolution o.1. Whywas Russia in such a rush to industrialize in the mid 1800s A report that lists accounts and their balances, in which the total debit balances should equal the total credit balances, is called a(n):____________. a. Account balance. b. Trial balance. c. Ledger. d. Chart of accounts. e. General Journal. A new version of your operating system is released with several changes made to the transport layer protocols. Specifically, TCP has been removed completely but UDP was not changed. What specific changes must be made to your application to accomodate these changes? how did the Atlantic slave trade lead to the African diasporaplz help will give brailiest for best answer un automovil tiene ruedas de 80 cm de diametro el automovil avanca 10 metros en 5 segundos a velocidad constante likewise 133 degree is equal to 87 degree in the second at what temperature will both thermometer read the same In the article, Invasion of the Periodical Cicadas, why do scienctists believe that cicadas only reproduce every 13 or 17 years? Explain your answer with evidence from the text. You have eight more dogs than cats. You have 2 fewer chickens than dogs. You have three fewer guinea pigs than cats. If you have a total of 59 pets, write an equation that would help you find how many of each pet you have. Describe what the variable represents (Let __ represent...). John Smith, a U.S. based businessman, paid the equivalent of $20 to an official of the country of Murundi to expedite the overnight delivery of critical documents. When questioned, John Smith claimed this was not a bribe. The $20 is an example of_______a. a bribe. b. an under-the-table payment. c. a violation of the Foreign corrupt practices act. d. a grease payment. e. an inappropriate payment. As Sheila walked home from school, the wind gripped her in its frigid fingertips. What is being personified? in columbus by Joaquin Miller how did the poet use literature techniques to reveal the speakers point of view If the family will not budget their family resources or their efficiently what will happen? imagine a trader buys a put option on a stock with a strike price of 500 and pays a premium of 25. what is the traders break-even point g Who wants to help with 7th grade math? 10 points (i put in 20 points) 3. What health resources are available at your school? List at least three. a)b)c)4. In what circumstances would you use each resource at your school? a)b)c) The IQ scores of the middle 50% of a population can be written as the one aboveWhere x is a persons IQ. Solve the inequality to find the IQ scores for the middle 50% of the population. What foreign policy did the United States resume following World War I? Today is Veterans Day. Why should we appreciate all of the great work they do and sacrifices they made?