3 Child Scenario
Assumptions
- Here we are considering 8 families with 3 children for 4 generations (75 years). In 8 Families, 4 families have 2 girls and 1 boy as children and other 4 families have 2 boys and 1 girl as children.
- Married couple had child at age of 25. therefore parents of couple will become grandparents at age of 50.
- Elderly means parent of grandparents will die at age of 75 due to old age OR any other reason.
1st Generation
In 1st generation each family has 3 children, Parent (2 members) and Grand parent (2 members)
Total 7 member in each family and Total 56 members (24 Children + 16 Parent + 16 Grandparent ) of 8 families.
2nd Generation (After 25 years)
In 2nd generation after children’s marriage, we are merging 2 families into one for better understanding. it will not affect Calculation.
Now 6 children (3*2) from 1st generation’s 2 family became 3 Couples of 1 family and new 9 Children added.
All parent of 1st generation become Grand parent (16 members) and all Grandparent from 1st generation died because of old age (16 members).
Total 19 member in each family and Total 76 members (36 Children + 24 Parent + 16 Grandparent ) of 4 families.
3rd Generation (After 25 years)
In 3rd generation after children’s marriage, we are merging 2 families into one for better understanding. it will not affect Calculation.
Now 18 children (9*2) from 2nd generation’s 2 family became 9 Couples of 1 family and new 27 Children added.
All parent of 2nd generation become Grand parent (24 members) and all Grandparent from 2nd generation died because of old age (16 members).
Total 57 member in each family and Total 114 members (54 Children + 36 Parent + 24 Grandparent) of 2 families.
4th Generation (After 25 years)
In 4th generation after children’s marriage, we are merging 2 families into one for better understanding. it will not affect Calculation.
Now 54 children (27*2) from 3rd generation’s 2 family became 27 Couples of 1 family and new 81 Children added.
All parent of 3rd generation become Grand parent (36 members) and all Grandparent from 3rd generation died because of old age (24 members).
Total 171 members (81 Children + 54 Parent + 36 Grandparent ) of 1 family.
Conclusion:-
In 1st generation total member of 8 families are 56 and after 4th generation (75 years) total members are increased to 171.
Increased 3.05 times (171/56). This calculation is only based on Assumptions made on top of this Article and No other member are added.
This Scenario gives us basic idea of how population is increased.
2 Child Scenario
Assumptions
- Here we are considering 8 families with 2 children for 4 generations (75 years). All 8 families have 1 girl and 1 boy as children.
- Married couple had child at age of 25. therefore parents of couple will become grandparents at age of 50.
- Elderly means parent of grandparents will die at age of 75 due to old age OR any other reason.
1st Generation
In 1st generation each family has 2 children, Parent (2 members) and Grand parent (2 members)
Total 6 member in each family and Total 48 members (16 Children + 16 Parent + 16 Grandparent ) of 8 families.
2nd Generation (After 25 years)
In 2nd generation after children’s marriage, we are merging 2 families into one for better understanding. it will not affect Calculation.
Now 4 children (2*2) from 1st generation’s 2 family became 2 Couples of 1 family and new 4 Children added.
All parent of 1st generation become Grand parent (16 members) and all Grandparent from 1st generation died because of old age (16 members).
Total 12 member in each family and Total 48 members (16 Children + 16 Parent + 16 Grandparent ) of 4 families.
3rd Generation (After 25 years)
In 3rd generation after children’s marriage, we are merging 2 families into one for better understanding. it will not affect Calculation.
Now 8 children (4*2) from 2nd generation’s 2 family became 4 Couples of 1 family and new 8 Children added.
All parent of 2nd generation become Grand parent (16 members) and all Grandparent from 2nd generation died because of old age (16 members).
Total 24 member in each family and Total 48 members (16 Children + 16 Parent + 16 Grandparent) of 2 families.
4th Generation (After 25 years)
In 4th generation after children’s marriage, we are merging 2 families into one for better understanding. it will not affect Calculation.
Now 16 children (8*2) from 3rd generation’s 2 family became 8 Couples of 1 family and new 16 Children added.
All parent of 3rd generation become Grand parent (16 members) and all Grandparent from 3rd generation died because of old age (16 members).
Total 48 members (16 Children + 16 Parent + 16 Grandparent ) of 1 family
Conclusion:-
In 1st generation total member of 8 families are 48 and after 4th generation (75 years) total members are still 48.
This calculation is only based on Assumptions made on top of this Article and No other member are added.
1 Child Scenario
Assumptions
- Here we are considering 8 families with 1 children for 4 generations (75 years). In 8 Families, 4 families have 1 girl as children and other 4 families have 1 boy as children.
- Married couple had child at age of 25. therefore parents of couple will become grandparents at age of 50.
- Elderly means parent of grandparents will die at age of 75 due to old age OR any other reason.
1st Generation
In 1st generation each family has 1 children, Parent (2 members) and Grand parent (2 members)
Total 5 member in each family and Total 40 members (8 Children + 16 Parent + 16 Grandparent ) of 8 families.
2nd Generation (After 25 years)
In 2nd generation after children’s marriage, we are merging 2 families into one for better understanding, it will not affect Calculation.
Now 2 children (1*2) from 1st generation’s 2 family became 1 Couples of 1 family and new 1 Children added.
All parent of 1st generation become Grand parent (16 members) and all Grandparent from 1st generation died because of old age (16 members).
Total 7 member in each family and Total 28 members (4 Children + 8 Parent + 16 Grandparent ) of 4 families.
3rd Generation (After 25 years)
In 3rd generation after children’s marriage, we are merging 2 families into one for better understanding. it will not affect Calculation.
Now 2 children (1*2) from 2nd generation’s 2 family became 1 Couples of 1 family and new 1 Children added.
All parent of 2nd generation become Grand parent (8 members) and all Grandparent from 2nd generation died because of old age (16 members).
Total 7 member in each family and Total 14 members (2 Children + 4 Parent + 8 Grandparent ) of 2 families.
4th Generation (After 25 years)
In 4th generation after children’s marriage, we are merging 2 families into one for better understanding. it will not affect Calculation.
Now 2 children (1*2) from 3rd generation’s 2 family became 1 Couples of 1 family and new 1 Children added.
All parent of 3rd generation become Grand parent (4 members) and all Grandparent from 3rd generation died because of old age (8 members).
Total 7 members (1 Children + 2 Parent + 4 Grandparent ) of 1 family.
Conclusion:-
In 1st generation total member of 8 families are 40 and after 4th generation (75 years) total members are decreased to 7.
Decreased 0.175 times (7/40).
This calculation is only based on Assumptions made on top of this Article and No other member are added.
Extra
4 Child scenarios-(8 families with 4 child, their parent and grandparent-Total 64 member will become 444 members in 4 generation-75 years) 6.9 times increased.
5 child scenarios-(8 families with 5 child, their parent and grandparent-Total 72 member will become 971 members in 4 generation-75 Years) 13.5 times increased.