ADONGO’S GROWTH RATE
The growth
rate which I have developed can be used to model three quantitative aspects of
growth in which the zoologist is interested. The first and basic form of the
growth is concerned with the change over time in some dimension of animal. As an
animal ages, the weight, surface area, and length of its various organs change
in a fairly regular manner, this change with time comprising grow in its absolute sense.
This is not
supposed that growth is always positive, for in the process of aging some organs
may after some time begin to decrease in size and, in some case entirely
disappear. Such is the case with the thymus in mammals, which reaches a maximum
size at sexual maturity and slowly atrophies.
The change
in a single dimension of an animal over time is the basic measurable aspect of
growth from which the other are derive. Time could be eliminated from this
relation, only because it is assumed to be the same for both length and width measurements.
The positive
growth equation is given as;
Rg=(1/∑t)ln(∑x/eln∑x/2)
Where,
Rg=growth rate
∑x=the sum of weight in time
∑t=sum of time
ln= natural logarithm
NB:My growth rate equation can also revolutionized the compound-interest formula. Here we can compute the interest rate and the accumulative amount without initial value. Also, the formula (∑x/eln∑x/2) = eln∑x/2
Example
The table
below shows the weight certain organ in years.
Years (t)
|
Weight (x)
|
1
|
50
|
2
|
51
|
3
|
52.02
|
4
|
53.06
|
5
|
54.12
|
6
|
55.20
|
1)Find the growth
rate of the organ.
SOLUTION
Rg=(1/21)ln(315.4/17.7595)
Rg=0.137