Question

Difference between arithmetic increase method and geometric increase method

Answer 1

Answer:

Graphical comparison method By assuming the population growth to be similar for the city considered which is similar to the other set of cities considered for analysis. The cities for consideration should be selected from similar parameters. The population censuses are plotted for the known selected cities. By graphical comparison the future population growth of unknown city is analysed and predicted graphically by drawing in the graph. City A, B, C, D are with known data where city X is to be

Arithmetic Increase Method This method is based on the assumption that the population increases at a constant rate; i.e. dP/dt=constant=k; Pn=P+nIi. This method is most applicable to large and established cities. 2. Geometric Increase Method or Uniform percentage growth method This method is based on the assumption that percentage growth rate is constant i.e. dP/dt=kP; Pn=P(1+(i/100))n. This method must be used with caution, for when applied it may produce too large results for rapidly grown cities in comparatively short time. This would apply to cities with unlimited scope of expansion. As cities grow large, there is a tendency to decrease in the rate of growth. 3. Incremental Increase Method Growth rate is assumed to be progressively increasing or decreasing, depending upon whether the average of the incremental increases in the past is positive or negative. The population for a future decade is worked out by adding the mean arithmetic increase to the last known population as in the arithmetic increase method and to this is added the average of incremental increases, once for first decade, twice for second and so on. Pn= P+nI + (n (n+1)/2)*r 4. Decreased Rate of Growth Method or Logistic curve Method Rate of population increase is never constant Population of city grows until saturation point and it is established by limit of economic opportunity. All population grow according

Answer 2

Answer:

Arithmetic increase method helps to find out the increase in the population and geometric increase method helps to find out the growth rate.

Explanation:

Geometric increase method. It is also known as the logarithmic growth method. It can also be called as exponential growth method. It is the percentage increase in population from decade to decade which is assumed to remain constant.

Arithmetical increase method:- In this, it is assumed that the rate of change of population constant with time,

The population that increases is added to the present population as to find out the population of the next decade.

Therefore, the difference between arithmetic increase method and geometric increase method is being explained.

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