Search results
Results from the WOW.Com Content Network
RGR is a concept relevant in cases where the increase in a state variable over time is proportional to the value of that state variable at the beginning of a time period. In terms of differential equations, if is the current size, and its growth rate, then relative growth rate is
For example, with an annual growth rate of 4.8% the doubling time is 14.78 years, and a doubling time of 10 years corresponds to a growth rate between 7% and 7.5% (actually about 7.18%). When applied to the constant growth in consumption of a resource, the total amount consumed in one doubling period equals the total amount consumed in all ...
R-star (the natural rate of interest) is of particular interest because key economic issues for economic policy makers, at any time, revolve around the relationship between current long-term interest rates and r-star. Questions arise, for example, as to whether current rates are below or above r-star, and if there is a significant gap between ...
For any fixed b not equal to 1 (e.g. e or 2), the growth rate is given by the non-zero time τ. For any non-zero time τ the growth rate is given by the dimensionless positive number b. Thus the law of exponential growth can be written in different but mathematically equivalent forms, by using a different base.
The equation for exponential mass growth rate in plant growth analysis is often expressed as: = Where: M(t) is the final mass of the plant at time (t). M 0 is the initial mass of the plant. RGR is the relative growth rate. RGR can then be written as:
where denotes the short-run expected growth rate, denotes the long-run growth rate, and is the period (number of years), over which the short-run growth rate is applied. Even when g is very close to r , P approaches infinity, so the model becomes meaningless.
r-selected species are those that emphasize high growth rates, typically exploit less-crowded ecological niches, and produce many offspring, each of which has a relatively low probability of surviving to adulthood (i.e., high r, low K). [10] A typical r species is the dandelion (genus Taraxacum).
The real growth rate is the change in a nominal quantity in real terms since the previous date . It measures by how much the buying power of the quantity has changed over a single period. It measures by how much the buying power of the quantity has changed over a single period.