Question

In: Statistics and Probability

Calculate: What is the population change/growth, natural increase, and net migration for each of the four...

Calculate: What is the population change/growth, natural increase, and net migration for each of the four populations. Fill in the table below. Hint: estimate using the “Demographic Balancing Equation.” Hint: In the table, you can express answers absolute numbers.

Population

2000-2010

Pop Growth

Natural Increase

Net Migration

2000

2010

Births

Deaths

Centerville

22400

22100

1872

1018

Kettering

44150

48700

4131

1448

Oakwood

4150

4250

359

175

Beavercreek

11600

11850

1019

478

Calculate: Using data from the above table/calculations, what is the net-migration rate for Oakwood during this ten-year period (2000-2010)? Hint: assume that all migration and natural increase was evenly spaced during the ten-year interval between 2000 and 2010. This assumption should help you figure out an estimate of the mid-year population for Oakwood.    

                                                                                                     ____________________ (per 1000)

Discuss: Using the above data/calculations, can you estimate the gross migration rate of these four populations? Why or Why not?

Solutions

Expert Solution

Solution:

Applying Demographic Balancing Equation we have for above data

Population( 2010)=Population( 2000) + Net increase ( i.e Births - Deaths) + Net Migration.

Hence,

Net Migration= Population( 2010) - Population( 2000) - Net increase ( i.e Births - Deaths)

Hence Table

Population 2000-2010 Pop Growth Natural Increase Net Migration
2000 2010 Births Deaths
Centerville 22400 22100 1872 1018 -1154
Kettering 44150 48700 4131 1448 1867
Oakwood 4150 4250 359 175 -84
Beavercreek 11600 11850 1019 478 -291

Now for the Net migration rate for Oakwood:

we have Net migration for Oakwood is -84

Net migration rate for Oakwood = (Net Migration / Mid year population) * 1000

we have, for Oakwood,

Mid year population= (Population( 2010) + Population( 2000) ) / 2

= (4250+4150)/2

= 4200

hence,

Net migration rate for Oakwood = (Net Migration / Mid year population) * 1000

= (-84/4200)*1000

= -20

Answer: The net-migration rate for Oakwood during this ten-year period (2000-2010) is -20.

Discussion: We cannot estimate the gross migration rate of these four populations because it refers to the across the boarders migration, Information about across the boarders migration is not available.


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