Wednesday, 2 October 2013

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