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

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Related Questions

According to the chart above, the largest percentage of a person’s carbon footprint comes from:
a.
Electricity
c.
Recreation and Leisure
b.
Food and Drink
d.
Gas, Oil and Coal

Answers

Answer:

D

Explanation:

D has the highest percentage at 15%. It is followed by C, at 14%.

The genotype dd is considered what? (2 words)​

Answers

Answer:

recessive          hope this is helps

Explanation:

Answer:

recessive dimple

Explanation:

Select the correct answer.
Which statement about the scientific method is true?
A.
Opinions can be scientifically tested.
B.
Scientific theories are tentative and change as new data emerges.
C.
Hypotheses can be proved through experimentation.
D.
Facts can be scientifically tested.

Answers

it's D but I might be wrong

Answer:

C

Explanation:

In science, a hypothesis is an idea or explanation that you then test through study and experimentation. Outside science, a theory or guess can also be called a hypothesis.

Many scientists start with this as a need you make a prediction and base it around your experiment to prove your correct.

Hope this helped

(It could also be D but I'm more positive on C)

In rigor mortis, muscle tissue becomes locked in position because myosin heads are tightly attached to neighboring actin thin filaments. This lock-up is prevented in living muscle because ordinarily myosin is rapidly displaced from the thin filament by:_________.A. binding of a new molecule of ATP B. hydrolysis of ATP C. release of ADP after ATP hydrolysis D. release of phosphate after ATP hyrdolysis

Answers

Answer:

The correct answer is option A. binding of a new molecule of ATP.

Explanation:

Actin and myosin are complementary filaments present in muscle, actin is thin and myosin is a thick filament, these two filaments are responsible for the movement by muscle contraction and relaxation. Actin and myosin head shows great affinity towards one another.

Myosin heads are tightly attached to neighboring actin thin filaments due to its affinity to actin, however, myosin at other pockets also show a huge affinity for ATP. If myosin is bound to actin the affinity for ATP is changed and if new ATP bounds to the empty pockets it changes the conformation of myosin and prevents lockup or binding of the actin-myosin protein.

Which term best describes the organic molecule below?
Hint: There is a double bond in the center of the chain.

A. Cholesterol
B. Phospholipid
C. Saturated fatty acid
D. Unsaturated fatty acid

Answers

As a result of the double bond in the organic molecule below, we can tell that it is a D. Unsaturated fatty acid.

Unsaturated fatty acids:

Have at least a single double bond in their structure Are usually liquid at room temperature Are categorized into monounsaturated and polyunsaturated

Oleic acid has a single double bond which makes it an unsaturated acid. It can be further classified as a monounsaturated acid due to it having just that one double bond.

In conclusion, Oleic acid is an unsaturated fatty acid on account of its double bond.

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the zipper like mountain ranges the run across the flor of the ocean are called ??

Answers

Answer:

answer is mid ocean ridges

Answer:

Undersea mountain ranges are mountain ranges that are mostly or entirely underwater, and specifically under the surface of an ocean. If originated from current tectonic forces, they are often referred to as a mid-ocean ridge. In contrast, if formed by past above-water volcanism, they are known as a seamount chain

What is the role of lay person like you in the mission of the church today?

Answers

Explanation:

base on the person opinion

is your name darel ibyibewbyqybyubycbywb

Answers

Answer:

hello i don't think my name is darel

Explanation:

The process by which a modified stem or root of a parent plant grows offspring that remain attached is called(1 point)

vegetative reproduction.

fragmentation.

binary fission.

tuber reproduction.

Answers

Answer A. Explanation: Roots such as corms, stem tubers, rhizomes, and stolon undergo vegetative reproduction. Some plants can produce seeds without fertilization via apomixis where the ovule or ovary gives rise to new seeds.

Answer:

vegetative reproduction

Explanation:

~( TロT)σ believe it

Why does the cell sometimes have to expend energy to move individual molecules across the cell membrane?

Answers

Answer:

Normally, molecules move naturally down a concentration gradient [From an area of high concentration to an area of low concentration] by a process called diffusion. However, sometimes the concentration of the needed substance is higher in the cell than out of it, so the cell uses a different process called Active Transport. Unlike Diffusion, Active transport requires energy, as it is going against a concentration gradient.

Cells expend energy to move cells across the cell membrane as they use Active transport rather than diffusion.

Which of the following explains the relationship of marbling to grade of beef?
the lower the amount of marbling, the better the quality of the carcass
the lower the amount of marbling, the higher the grade of the carcass
the more abundant the marbling, the higher the grade of the carcass
O the more abundant the marbling, the poorer the quality of the carcass

Answers

Answer:

the lower the amount of marbling, the higher the grade of the carcass

Explanation:

We find DNA on the ___, In every living cell that an organism owns
a. chromosomes
b. reproduction
c. mitosis

Answers

Answer:

A. Chromosomes

Explanation:

A Chromosome is some thing carrying genetic information in the form of genes.

We find DNA on the chromosomes, in every living cell that an organism owns. So, the correct option is A.

What is Chromosome?

The word chromosome comes from the Greek words for color (chroma) and body (soma). Chromosomes are so named because they are cell structures, or bodies, that are strongly stained by certain color dyes used in research.

Chromosomes are defined as structures found inside the nucleus of a cell that are organized into genes from proteins and DNA. Each cell normally has 23 pairs of chromosomes.

These are threadlike structures which are made of protein and a single molecule of DNA that serve to carry the genomic information from cell to cell.

Therefore, the correct option is A.

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The generation of a knock-out organism generally requires all the following EXCEPT ________. The generation of a knock-out organism generally requires all the following EXCEPT ________. knowledge of the sequence product embryonic stem cells knowledge of the target sequence a targeting vector

Answers

Answer:

knowledge of the sequence product

Explanation:

A gene knockout is a technique used in molecular genetics to deactivate target genes in an organism in order to study their functions by reverse genetics (i.e., gene loss). Knockouts are generated by different methods including, for example, homologous recombination or site-specific nucleases (zinc-fingers, TALENS, CRISPR/Cas9). These techniques require to know a priori the sequence of each gene to be knocked out in order to target desired mutations. In the last years, the CRISPR/Cas9 tool has gained attention to knockout genes of interest because it is a genome editing system that can be easily used for deletion or insertion of bases.

please help me with this question:)

Answers

Answer:

It is a cell wall

Explanation:

the answer is a cell wall

which is true about both endocytosis and exocytosis? check all that apply
they use vesicles for cell transport
they require energy for cell transport
they remove wastes from the cell
they move small, fat-soluble substances

Answers

Answer: they use vesicles for cell transport and they require energy for cell transport

Explanation:

Both endocytosis and exocytosis use vesicles for cell transport, require energy for cell transport. The correct options are a and b.

What is endocytosis and exocytosis?

Endocytosis is the transport of material into the cell, while exocytosis is the transport of material out of the cell.

The distinction can be seen because a vesicle forms around the molecule entering endocytosis. Exocytosis is basically the inverse of endocytosis.

Endocytosis and exocytosis both require energy in the form of adenosine triphosphate (ATP), which is used in the movement of substances into and out of the cell.

Endocytosis is classified into three types: phagocytosis, pinocytosis, and receptor-mediated endocytosis.

Exocytosis is the process by which vesicles fuse with the plasma membrane and release their contents outside of the cell. Exocytosis and endocytosis are both active transport processes.

Thus, the correct options are a and b.

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When an object is not in motion, it can still have a form of energy. What form of energy does an object have due to its distance from Earth?

Answers

Answer:

Gravitational energy

Explanation:

An object's height above the ground (Earth) gives it gravitational energy.

Answer:

gravitational potential energy

Explanation:

correct on edge

Step 1: Add approximately 25 mL of water to a 50-mL graduated cylinder.

Step 2: Measure and record the initial volume of the water to the nearest 0.1 mL.

Step 3: Carefully slide the object into the graduated cylinder. Measure and record the final volume of the water to the nearest 0.1 mL.

Step 4: Determine the volume of the object by subtracting the measurements in steps 2 and 3.


What pattern in these data could be used to predict the final volume if the initial volume is known?


The final volume is the sum of the initial volume and the volume of the object.


The initial volume is the sum of the final volume and the volume of the object.


The volume of the object is the sum of the initial volume and the final volume.


The final volume is the difference between the initial volume and the object’s volume.

Answers

Answer:

The final volume is the sum of the initial volume and the volume of the object.

Explanation:

Since we know that the volume of the object is the difference between the final and the initial volume, let the volume of the object be ∆V, let the initial volume be V1 and let the final volume be V2.

From;

∆V= V2 - V1

V2= ∆V + V1

Hence the answer above

1 Which statement about the relationship between an organism's traits and its genes is true?
A.
An organism's genes are a direct result of its inherited traits.
B.
Genes code for proteins that determine an organism's traits.
C.
Traits code for the proteins that determine an organism's genes.
D.
Genes code for the DNA that determines an organism's traits.
2. A mutation occurs in a sequence of DNA. How could the DNA mutation affect the protein produced?
A.
The chromosomes in the protein could be changed.
B.
The protein would cause other proteins to mutate.
C.
The structure of the protein could be changed.
D.
The mutation could change every protein in the cell.

Answers

Answer:

1. The true statement about the relationship between an organism's traits and its genes is that genes encode the proteins that determine an organism's traits (option B).

2. A DNA mutation can cause the structure of the protein to be changed (option C).

Explanation:

DNA contains the genetic information necessary for the structure and function of living beings. It is a molecule that, once transcribed into mRNA, dictates the rules for protein synthesis.

1. Chromosomes are composed of a DNA molecule, whose segments form the genes that contain specific base sequences to determine a trait.

The information from the DNA is transcribed into the mRNA, which is responsible for carrying it to the cytoplasm where protein synthesis occurs. These proteins formed from the genetic code determine the different traits in living beings. So, genes encode the proteins that determine an organism's traits.

2. Since the DNA contains the information needed to transcribe it into the mRNA and for the mRNA to initiate protein synthesis, any alteration in the DNA base sequence -due to mutation- can be produced:

A transcription of the mRNA with the alteration That during mRNA translation, the codon that forms an amino acid, or that determines the stop of protein synthesis, is changed. The alteration or change, consequently, of the synthesized protein.

There is a relationship between the DNA mutation and the structure of the protein being changed.

NEED HELP RLLY BAD!!
What does glucagon do for the body
1. tells the body to release insulin to lower blood glucose levels
2. tells the body to release glycogen to increase blood glucose levels
3. tells the body to release insulin to increase blood glucose levels
4. tells the body to release glycogen to decrease blood glucose levels

Answers

it prevents the blood glucose levels from dropping too low. hope that helps!

How many O2 molecules are required for to undergo cellular respiration?

Answers

Answer: Cellular Respiration and Photosynthesis In glycolysis, the 6-carbon sugar, glucose, is broken down into two molecules of a 3-carbon molecule called pyruvate. This change is accompanied by a net gain of 2 ATP molecules and 2 NADH molecules.

Explanation:

Will give brainliest please help me.

Answers

Answer:

It looks like it could be the first one or last. But I'm pretty sure it's the last one.

Which of the following is a biotic factor?

A) Sunflower
B) Carbon dioxide
С) Soil
D) Sunlight

Answers

Answer:

A) Sunflower

Explanation:

Answer:

a) sunflower

Explanation:

because it is a living thing.

What is inside a seed?

Answers

Answer:

inside a seed is a plant called the embryo

Explanation:

if u need more information msg me but i hope  this helped u

Answer:

inside the seed will be a tiny plant cell called the embryo

T/F Plants do not have cell membranes because they have cell walls.
A. True
B. False

Answers

This answer is false

Answer:

False

Explanation:

Plant cells have a cell membrane. They are eukaryotes because they have membrane bound organelles.

Hope this helped!

The creation of different breeds of dog by humans is an example of...
A) stabilizing selection
B) disruptive selection
C) artificial selection
D) sexual selection

Answers

Answer:

I believe it is artificial selection

Explanation:

i learned about this a little while ago lol

which of the following best describes the flow of energy in a cabbage plant?
A Solar Energy is absorbed by mitochondria, converted and stored in sugars, and released in chloroplasts.
B Solar Energy is absorbed by chloroplasts, converted and stored in sugar, and released in mitochondria.
C Chemical Energy is absorbed by chloroplasts, stored in sugars, and released in mitochondria.
D Chemical Energy is absorbed by mitochondria, stored in sugars, and released in chloroplasts.

Answers

Answer: B. Solar Energy is absorbed by chloroplasts, converted and stored in sugar, and released in mitochondria.


Explanation:
Hope this helps;)

13. Keep a
to help you identify trends in your fitness habits that are particularly effective. (1 point)
grade book
sharp memory
video blog
fitness journal

Answers

D: fitness journal



It’s correct
The answer would be D) fitness journal

19. What macromolecule is common to surface markers, receptors,
carriers and channels? *

protein
carbohydrate
lipid
nucleic acid

Answers

The answer is protein

Consider the food chain grasshopper mouse snakes hawks. If snakes go extinct what will happen to the food chain

Answers

Answer:

This can actually cause a major problem if the number of grasshoppers were to increase out of control. They eat plants and the number of plants,which are the basis of the food chain, could severely decrease which would impact all of the levels operating above this trophic level.

Answer:

Lack of mice

Explanation:

If the grasshopper where to go extinct the mice population would decrease. Which would lead to it being harder for snakes to find food or they would begin to rely on a different food source. But the hawks would be able to find less snakes but would overall be fine.

PLEASE HELP ME WITH THIS QUESTION

Answers

the answer is the smooth endoplasmic reticulum
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