Explain why a constant rate of increase (r) for a population produces a growth curve that is J-shaped.
Population:
In biology, the population is defined as the cluster of organisms (such as plant, animals, and humans) that stays at different locations. The rate of population increase due to an increase in the rate of generation of new species with the help of a process called reproduction.
Answer and Explanation:1
There is a constant rate of growth in the population that leads to the formation of a J-shaped growth curve. This is due to the continuous expansion of growth or generation of new species of plants, animals, and humans. The continuous increase in the rate of population is occurring simultaneously with the continuous cycle of time (generation of new species with time). The J-shaped curve is defined as the growth curve or commonly known as an exponential growth curve. The J-shaped curve results in exponential growth, development, and rapid change in the collection of species in a particular area. The J-shaped curve represents the number of individuals present in a geographical area and their growth with time.
FAQs
Answer and Explanation:
Why a constant per capita rate of increase R of a population produces a curve that is J-shaped? ›
A constant rate of increase (r) for a population produces a growth curve that is J-shaped rather than straight line because the population accumulates more new individuals per unit of time, thus the curve gets progressively steeper over time.
Why does population growth usually have a J-shaped curve? ›
Answer and Explanation: A J-shaped population growth curve represents exponential growth. The population begins growing slowly, and the rate of growth becomes more rapid (and the curve becomes steeper) as the population size grows.
What causes AJ curve to flatten into as curve? ›
Logistic growth
Start rapidly as a J curve and flatten as it curves hits the environment's carrying capacity. Carrying capacity refers to the maximum population of a species the environment can support. As the population reaches the carrying capacity (denoted by k), the curve begins to take an “S” shape.
What is the R in the population growth curve? ›
The Population Growth Rate (r )
The population growth rate (sometimes called the rate of increase or per capita growth rate, r) equals the birth rate (b) minus the death rate (d) divided by the initial population size (N0).
What does R stand for the rate of growth for the population in the logistic growth equation? ›
Carrying capacity is the maximum size of the population of a species that a certain environment can support for an extended period of time. The logistic growth equation can be given as dN/dt= rN (K-N/K). Here, r = the intrinsic rate of growth, N = the number of organisms in a population, and K = the carrying capacity.
What happens to the curve of population size over time as you increase R? ›
As r increases, this curve becomes steeper more quickly, showing that the population size increases more rapidly.
What is the J-shaped curve? ›
Key Takeaways. A J-curve depicts a trend that starts with a sharp drop and is followed by a dramatic rise. The trendline ends in an improvement from the starting point. In economics, the J-curve shows how a currency depreciation causes a severe worsening of a trade imbalance followed by a substantial improvement.
What does the AJ-shaped curve represent? ›
In economics, the "J curve" is the time path of a country's trade balance following a devaluation or depreciation of its currency, under a certain set of assumptions.
What are J-shaped and S-shaped population growth curves? ›
Hint: The J-shaped curve is seen in the case when there are unlimited resources in the environment but the S-shaped curve is seen when the resources are limited. Also, the second one involves a stationary phase which is not a part of the first one.
Resistance factors (predators, competition, disease, etc.) kick in to decrease population growth rate, causing the exponential J curve to transition to the S curve of logistic growth.
Why does the growth curve line become flat after initially increasing? ›
Why does the light green line on the graph become flat after initially increasing? As a population gets closer to the carrying capacity of its environment, its growth slows and plateaus.
What does the R represent in exponential growth model? ›
In the equations describing growth of populations of organisms, r represents the slope of the line representing exponential growth. The letter K represents the carrying capacity of a habitat for members of a given sort of organism.
What does R represent in exponential growth? ›
The formula for exponential growth is V = S x (1+R)T. The starting value is S, R is the interest rate, and T is the number of periods that have elapsed. The formula calculates V, which is the current value.
What does R stand for in exponential growth? ›
'r' and 'a' must be greater than 0. 'r' is the rate of increase of the function, 'a' is the initial amount, and 't' is time. (1+r) is called the growth factor.
What happens to the per capita growth rate with increasing population density? ›
Some are density-dependent, while others are density-independent. Density-dependent limiting factors cause a population's per capita growth rate to change—typically, to drop—with increasing population density.
What does the per capita geometric rate of increase R represent? ›
Geometric (Discrete-Time) Model of Population Growth
A per capita rate is a rate per individual; that is, the per capita birth rate is the number of births per individual in the population per unit time, and the per capita death rate is the number of deaths per individual in the population per unit time.
Which pattern is found when a population exhibits a constant per capita rate of increase? ›
In exponential growth, a population's per capita (per individual) growth rate stays the same regardless of population size, making the population grow faster and faster as it gets larger.
What is the relationship between population growth and rate of increase in per capital income? ›
The rate of increase in per capita income roughly equals the rate of increase in income minus the rate of increase in population. High rates of population growth do not necessarily imply low rates of growth in per capita income.
