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The growth of population can be conveniently represented by a curve, which is amenable to mathematicai solution, The type of this curve is
- a)semilog curve
- b)straight line curve
- c)logistic curve
- d)exponential curve
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The growth of population can be conveniently represented by a curve, w...
Equation of logistic curve is given by,
where,
P0 = The population at the start pt. of the curve A
Ps = Saturation population
P = Population at any time t from the origin A
K = Constant
where,
P0 = The population at the start pt. of the curve A
Ps = Saturation population
P = Population at any time t from the origin A
K = Constant
Most Upvoted Answer
The growth of population can be conveniently represented by a curve, w...
The Growth of Population: Understanding the Logistic Curve
Population growth can be modeled using various mathematical curves. Among these, the **logistic curve** is particularly significant in representing real-world scenarios where resources are limited.
Characteristics of the Logistic Curve
- **S-Shaped Growth**: The logistic growth model is characterized by an S-shaped curve, which illustrates how populations grow rapidly at first, then slow down as they approach carrying capacity.
- **Carrying Capacity**: This is the maximum population size that an environment can sustain indefinitely without degrading the habitat. The logistic curve accounts for this limit, unlike the exponential curve, which assumes unlimited resources.
Phases of Population Growth
- **Initial Phase**: In the early stages, the population grows exponentially due to abundant resources.
- **Transition Phase**: As resources become scarce, the growth rate decreases, leading to a flattening of the curve.
- **Equilibrium Phase**: Eventually, the population stabilizes around the carrying capacity, showing minimal growth.
Comparison with Other Curves
- **Exponential Curve**: Represents unlimited growth without considering resource limitations, which is unrealistic for long-term population dynamics.
- **Semilog and Straight Line Curves**: These are less applicable for biological populations, as they do not depict the natural slowing of growth in the presence of resource constraints.
Conclusion
The logistic curve provides a more accurate model for understanding population dynamics in ecology and civil engineering contexts, where resources and environmental factors play critical roles in shaping population trends.
Population growth can be modeled using various mathematical curves. Among these, the **logistic curve** is particularly significant in representing real-world scenarios where resources are limited.
Characteristics of the Logistic Curve
- **S-Shaped Growth**: The logistic growth model is characterized by an S-shaped curve, which illustrates how populations grow rapidly at first, then slow down as they approach carrying capacity.
- **Carrying Capacity**: This is the maximum population size that an environment can sustain indefinitely without degrading the habitat. The logistic curve accounts for this limit, unlike the exponential curve, which assumes unlimited resources.
Phases of Population Growth
- **Initial Phase**: In the early stages, the population grows exponentially due to abundant resources.
- **Transition Phase**: As resources become scarce, the growth rate decreases, leading to a flattening of the curve.
- **Equilibrium Phase**: Eventually, the population stabilizes around the carrying capacity, showing minimal growth.
Comparison with Other Curves
- **Exponential Curve**: Represents unlimited growth without considering resource limitations, which is unrealistic for long-term population dynamics.
- **Semilog and Straight Line Curves**: These are less applicable for biological populations, as they do not depict the natural slowing of growth in the presence of resource constraints.
Conclusion
The logistic curve provides a more accurate model for understanding population dynamics in ecology and civil engineering contexts, where resources and environmental factors play critical roles in shaping population trends.
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