Pressure-density relationship. The density of liquid water tends towards an integral 6 th power relationship with respect to pressure. where P is the pressure (MPa), P 0 is 378 MPa, T is the temperature (K), T 0 is 85 K and.s the density (g/mL). This relationship is shown below (P' is the scaled pressure, that is, the left side of the above expression) as the dashed lines, with the colored lines being the experimental data. The lines for 20 Â°C - 60 Â°C fit well but the power increases from 6 at lower and higher temperatures.
Let's review. Logistic population growth occurs when the growth rate decreases as the population reaches carrying capacity. Carrying capacity is the maximum number of individuals in a population that the environment can support.f we look at a graph of a population undergoing logistic population growth, it will have a characteristic S-shaped curve. The population grows in size slowly when there are only a few individuals. Then the population grows faster when there are more individuals.
Exponential growth (including exponential decay) occurs when the growth rate of a mathematical function is proportional to the function's current value. In the case of a discr â¦ ete domain of definition with equal intervals it is also called geometric growth or geometric decay (the function values form a geometric progression). Exponential growth is said to follow an exponential law; the simple-exponential growth model is known as the Malthusian growth model. For any exponentially growing quantity, the larger the quantity gets, the faster it grows. An alternative saying is 'The rate of growth is directly proportional to the present size'.