Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A population is defined as a group of organisms of one species, living in the same area at the same time.
Population growth follows a sigmoid (S-shaped) curve consisting of four main phases: the lag phase, the log (exponential) phase, the stationary phase, and the death phase.
During the lag phase, the population size increases slowly as organisms adapt to their environment and reach reproductive age.
In the log phase, the growth rate is at its maximum because resources like food and are abundant and limiting factors are minimal.
The stationary phase occurs when the birth rate equals the death rate, often because the population has reached the carrying capacity () of the environment.
The death phase (or decline phase) occurs when the death rate exceeds the birth rate due to factors like accumulation of toxic waste, depletion of food, or disease.
Limiting factors are environmental factors that restrict population growth, such as light intensity, temperature, predation, and competition for resources.
The human population has been increasing exponentially due to improvements in agriculture, sanitation, and healthcare, which have significantly reduced the death rate ().
📐Formulae
where = Births, = Immigration, = Deaths, and = Emigration.
💡Examples
Problem 1:
A population of beetles lives in a garden. Over one year, there are births, deaths, beetles immigrate, and beetles emigrate. Calculate the new population size.
Solution:
Explanation:
To find the change in population, we sum the factors that increase the population (births and immigration) and subtract the factors that decrease it (deaths and emigration). Adding this change to the initial population gives the final count.
Problem 2:
In a laboratory culture, a population of yeast cells increases from to in hours. Calculate the average growth rate per hour.
Solution:
Explanation:
The average growth rate is determined by dividing the total increase in individuals () by the total time interval ().