EVERYDAY SCIENCE

Detailed explanation-1: -In logistic growth the population increases in an exponential manner initially and then as the population size nears the carrying capacity of the population the growth rate decreases and at the carrying capacity growth ceases and the graph flattens out. Thus this forms an S-shaped curve.

Detailed explanation-2: -In logistic growth, a population’s per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity ( K). Exponential growth produces a J-shaped curve, while logistic growth produces an S-shaped curve.

Detailed explanation-3: -Answer and Explanation: An S-shaped population curve represents logistic growth. The lower curve of the S is formed as a small population grows exponentially. The upper curve of the S is formed as the population nears its carrying capacity and its growth rate slows.

Detailed explanation-4: -However the S shape curve represents a nonlinear relationship between X and Y. While the relationship is approximately linear between probabilities of 0.2 and 0.8, the curve levels off as it approaches the ceiling of 1 and the floor of 0.

Detailed explanation-5: -The logistic function shows an initial exponential growth until the inflection point, and an exponential decay from then on until reaching the upper asymptote (i.e. exhausting the stock). Hence the typical S-shaped pattern which gave the curve its popular name.