When there are limited resources.
when there is competition for resources. apex :)
population growth begins to slow down
exponential (<-----Apex)
When there are limited resources. when there is competition for resources. apex :)
The Population has gone through ecological sucsession
Exponential growth occurs when numbers increase by a certain factor in each successive time period. Logistic growth is population growth that starts with a minimum number of individuals and reaches a maximum depending on the carrying capacity of the habitat. In exponential growth population grows slowly when it's small, but as the population gets larger, growth speeds up. In logistic growth, when the population is small, the growth rate is fast because there are plenty of natural resources. (Logistic) As the population approaches the carrying capacity, resources become scarce. Completion for food, shelter and mates increases between individuals of a population. As a result, the growth rate slows. Exponential growth, grows fast in the beginning and then slows down. Logistic growth grows slow in the beginning and then speeds up.
exponential
linear growth is the equal growth in a equal time period without any aspects such as food to change it. Exponential growth is the growth of the population based on the culmulative things in the environment affecting the population of the area
Populations growth begins to slow down.
One example of exponential growth and limiting factors is a basic population growth equation, dN/dt=rN(1-N/K), where N(t) is the population at time t, r is the populations growth rate at t=0, and K is the populations carrying capacity which is the limiting factor on the population's exponential growth. The population will increase exponentially until it starts to get close to K at which point the growth rate will slow down and the population will converge to K as t tends to infinity assuming no other factors influence the population. This particular equation is known as a logistic model and in general doesn't represent exponential population growth very well in the real world due to numerous factors such as resources available, other species fighting for the same resources, natural factors such as disease or illness as well as others. This basic model just assumes that a population can grow to a capacity K without interruption and without external effects.
The population levels off at the carrying capacity.
exponential (<-----Apex)
In exponential growth, the number of individuals in a population grows rapidly. With more individuals comes an increased demand for resources, food, competition, etc. There is never an unlimited amount of such resources, so a population growing exponentially is eventually limited by the amount the population can take from its environment. This limitation -- the point that a population exceeds its means -- is called the carrying capacity. Sometimes an exponentially-growing population will grow past its carrying capacity for a time before dipping back down and leveling off. In some cases (like with humans), the carrying capacity can be pushed further and further with adaption (or with humans-- innovation).