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Wednesday 13 May 2015

Lessons from Illegal Immigrants - it doubles in 25 years


This week, the newspapers were full of news about illegal immigrants.  Boatloads from countries torn by fighting were heading across the Mediterranean Sea to EU.  Boatloads from Myanmar were heading for Malaysia, Thailand and Indonesia.  It's called human trafficking or human smuggling.  Many immigrants died at sea.

Lets say 4 immigrants settled in an island of Malaysia. 
Assume a couple produces 4 children in the next generation. 
The average age of reproduction is 25 years, hence 1 generation is 25 years. 
The average lifespan is 75 years.

generation 1  now     4 immigrants  = 4
gen 2        25 yrs    4+4+4 = (4 x 3)  = 12
gen 3      50 yrs    4+4+4+4+4+4+4  = (4 x 7) = 28
gen 4      75 yrs    4+4+4+4+4+4+4+4+4+4+4+4+4+4+4 = (4 x 15) = 60
gen 5     100yrs    4+4 +4+4+4+4+4+4+4+4+4+4+4+.. = (4 x 31) - (4x1) for demise of gen1=120
gen 6     125 yrs ....4+4+..... = (4x63) - (4x3) for demise of gen1 and gen2 = 240

So from 4, the number increases to 120 and then 239 after 125 years.  Roughly, the number doubles every generation.  So if there are 500,000, the next 25 years will be 1 million !!!

(My mathematics is no good.  Could a better person derive a mathematical formula?)

Now what would happen if Malaysia takes in 10 boatloads of 3000 immigrants from Myanmar ?