Chapter 3 - Population Projections  

3.1       Introduction  

There is little need to emphasize the importance of population projections for countries attempting to plan their economic and social development. The primary needs of the people, which development programmes aim to satisfy cannot be gauged rationally without regard to the expected size and composition of the population, nor can any future development plan be realistic without due consideration given to future labour force which in turn depends on population projections. Therefore it can be said that population projection is a vital tool for planners and policy makers.  

Three variants of population projections have been made namely the medium variant projection, the low variant projection and the high variant projection. The medium variant projection is the most probable scenario for the future and therefore is more likely to occur. The low variant and high variant projections give a lower and upper limit respectively to a range of probable scenarios that could occur.  

Chapter 3

3.2       Methodology  

The cohort component method was used for projecting the population of Mauritius. Projections were made for the Island of Mauritius and the Island of Rodrigues separately and the sum of the two yielded projections for the Republic of Mauritius. As the name itself implies, the methodology first requires projections of the components of population growth namely fertility, mortality and migration. Once the future levels and patterns of fertility, mortality and migration are obtained, these are used in conjunction with a base population to obtain the projected population. The base population used was the Census 2000 figure.  

The steps involved in the population projections are as follows:  

(a) The age and sex specific survival ratios are applied to the base population in order to obtain survivors at the end of the five-year period. Age and sex-specific survival ratios are then applied to these survivors to obtain survivors at the end of the following five-year period and the process is repeated until the end of the projection period.

(b) The expected number of births during a specific five-year period is estimated by applying the projected age-specific fertility rates to the projected female population in the reproductive age groups for that period. The births are disaggregated by sex on the basis of an assumed sex ratio at birth; they are then survived using the appropriate survival probabilities.

(c) The projections that have a migration component are obtained by adjusting the projections, based on fertility and mortality trends for net migration.  

Chapter 3

3.3       Data requirements  

The data required for the projections are:  

·        The adjusted 2000 Census population by age and sex

·        The projected total fertility rate (TFR), the age pattern of fertility and the sex ratio at birth

·        The projected age-specific survival ratios

·        The projected number of migrants by age and sex  

Chapter 3

3.4       Fertility assumptions  

3.4.1    The Total Fertility Rates (TFR)  

In its 2000 revision of population projections of individual countries, the United Nations fertility assumption for the Republic of Mauritius is as follows:  

Medium variant projection:   TFR reaches 1.90 by 2000-05 and thereafter remains at that level

Low variant projections:       TFR reaches 1.80 by 2000-05 and then stabilizes to 1.50 by 2015-20

High variant projections:       TFR reaches 2.10 by 2000-05 and then stabilizes at 2.30 by 2010-15  

The future assumptions were based essentially on past trends in fertility registered in the country.  

The level and trends in fertility in a country is determined by a multitude of socio-economic factors including adult literacy, school enrolment levels, level of female employment, levels of infant mortality and nuptiality as well as the strength of its population policies and programmes.  

An analysis of the trend in TFR in the recent past indicates that after peaking at 2.31 in 1992, the TFR has been continuously declining to reach a minimum of 1.96 in 1998. Subsequently, the TFR increased slightly to 2.04 in 1999 and declined marginally to 2.01 in 2000. For the year 2001, up to date fertility data indicate a further decline in fertility thus bringing the TFR further below replacement level. It is clear however that this declining trend is not stable. In these circumstances it would be more reasonable to assume that stabilization to 1.90 would occur a little later than assumed by the UN.  

It seems more likely that the TFR will lie within the range 1.90 to 2.15 during the period 2000-05.

In the light of the above, the UN fertility assumptions have been adapted on the basis of the most recent trends for working out our population projections. The fertility assumptions used for the projections are as follows:  

Table 3.1 - Assumed TFR, 2000-2040 - Republic of Mauritius, Island of Mauritius and Island of Rodrigues

 

   

List of tables

            The TFR in the Island of Rodrigues has been declining from 5.16 in 1983 to 3.19 in 1990 and to 2.38 in 1997. Since then, there has been a slight reversal of the situation whereby the TFR has been gradually increasing to 2.39, 2.49 and 2.61 in 1998, 1999 and 2000 respectively. Provisional figures for 2001 indicate a stagnation of the fertility level.  

The fertility assumptions for the island of Rodrigues are based on the observed fertility trends as well as the UN fertility assumptions for medium fertility countries, i.e countries with declining fertility but with TFR still above replacement level. It is therefore assumed that fertility would stabilize to a TFR of 2.1 (replacement level fertility) in the medium variant projections, to a TFR of 1.6 in the low variant projections and to a TFR of 2.6 in the high variant projections.  

3.4.2    Age patterns of fertility  

The age patterns of fertility assumed for the projections are given in table 3.2. The patterns are those that prevailed during the period 1995-2000. In fact, these patterns have remained unchanged over the last three decades.  

Chapter 3

Table 3.2 - Percentage distribution of total fertility by age group of mother - Republic of Mauritius, Island of Mauritius and Island of Rodrigues

 

  List of tables

Three models are usually adopted for the childbearing pattern; these are the early child-bearing pattern, the intermediate pattern and the late child-bearing pattern. For the Island of Mauritius, the pattern is roughly equivalent to the replacement level intermediate child-bearing schedule characterised by roughly the same maximum fertility in age-groups 20-24 and 25-29. For Rodrigues, the pattern does not match any of the three above-mentioned models.  

Chapter 3

3.4.3    Age-specific fertility rates  

The age specific fertility rates used in the projections have been derived from the projected TFR and the assumed age pattern of fertility. The rates are given in tables 3.3(a) and 3.3(b).  

Chapter 3

3.4.4    Sex ratio at birth  

The projected births have been disaggregated by sex by applying the average sex ratio at birth prevailing during the period 1991-2000. The sex ratios used are 103.45 male births per 100 female births for the Island of Mauritius, 99.40 for the Island of Rodrigues and 103.31 for the Republic of Mauritius.

Chapter 3

Table 3.3(a) - Assumed age specific fertility rates (ASFR), 2000- 2040 , Island of Mauritius

Medium variant

Age-group (years) 2000-05 2005-10 2010-15 2015-20 2020-40
15-19 35.8 35.1 34.4 34.4 34.4
20-24 122.8 120.3 117.8 117.8 117.8
25-29 121.5 119.0 116.6 116.6 116.6
30-34 74.8 73.3 71.8 71.8 71.8
35-39 33.1 32.4 31.8 31.8 31.8
40-44 7.5 7.4 7.2 7.2 7.2
45-49 0.5 0.5 0.5 0.5 0.5
   

High variant

Age-group (years) 2000-05 2005-10 2010-15 2015-20 2020-40
15-19 38.9 40.7 41.6 41.6 41.6
20-24 133.3 139.5 142.6 142.6 142.6
25-29 131.9 138.1 141.1 141.1 141.1
30-34 81.2 85.0 86.9 86.9 86.9
35-39 36.0 37.6 38.5 38.5 38.5
40-44 8.2 8.6 8.7 8.7 8.7
45-49 0.5 0.5 0.6 0.6 0.6
   

Low variant

Age-group (years) 2000-05 2005-10 2010-15 2015-20 2020-40
15-19 34.4 32.4 30.6 28.8 27.2
20-24 117.8 111.0 104.8 98.6 93.0
25-29 116.6 109.8 103.7 97.6 92.0
30-34 71.8 67.6 63.9 60.1 56.7
35-39 31.8 29.9 28.3 26.6 25.1
40-44 7.2 6.8 6.4 6.0 5.7
45-49 0.5 0.4 0.4 0.4 0.4

   

List of tables

Table 3.3(b) - Assumed age specific fertility rates (ASFR), 2000-2040, Island of Rodrigues

 

Medium variant

Age-group (years) 2000-05 2005-10 2010-15 2015-20 2020-40
15-19 49.5 46.2 45.2 45.2 45.2
20-24 88.4 82.7 80.7 80.7 80.7
25-29 112.5 105.2 102.7 102.7 102.7
30-34 103.6 96.9 94.6 94.6 94.6
35-39 69.4 64.8 63.3 63.3 63.3
40-44 32.5 30.4 29.7 29.7 29.7
45-49 4.1 3.9 3.8 3.8 3.8
   

High variant

Age-group (years) 2000-05 2005-10 2010-15 2015-20 2020-40
15-19 54.8 55.9 55.9 55.9 55.9
20-24 98.0 99.9 99.9 99.9 99.9
25-29 124.8 127.2 127.2 127.2 127.2
30-34 114.9 117.2 117.2 117.2 117.2
35-39 76.9 78.4 78.4 78.4 78.4
40-44 36.0 36.7 36.7 36.7 36.7
45-49 4.6 4.7 4.7 4.7 4.7
   

Low variant

Age-group (years) 2000-05 2005-10 2010-15 2015-20 2020-40
15-19 46.2 40.9 36.6 34.4 34.4
20-24 82.7 73.0 65.4 61.5 61.5
25-29 105.2 93.0 83.2 78.3 78.3
30-34 96.9 85.6 76.6 72.1 72.1
35-39 64.8 57.3 51.3 48.3 48.3
40-44 30.4 26.8 24.0 22.6 22.6
45-49 3.9 3.4 3.1 2.9 2.9

List of tables

3.5       Mortality assumptions  

Mauritius has experienced a significant improvement in mortality during the last three decades.  Table 3.4 below gives the evolution of life expectancy at birth (e0) from 1972 to 2000 and the average annual change.  

Chapter 3

Table 3.4 - Life expectancy at birth, 1972-2000 - Island of Mauritius

 

List of tables

The figures reveal that the average annual changes are erratic. This may be due to the fact that life tables constructed for inter-censal periods are affected by errors in population estimates by age and sex. If life tables for the census years only are compared this would give a better picture of the situation. 

Table 3.5 - Intercensal change in life expectancy at birth, 1972-2000 - Island of Mauritius

     

List of tables

            Table 3.5 gives life expectancy at birth (e0) for 1972, 1983, 1990 and 2000 censuses together with the corresponding average annual increases.  

It is expected that gains in e0 would decrease with time because of the relatively high levels already achieved. It is however observed that the average annual gain among males is higher during period 1990-2000 than the period 1983-90. This is attributable to a more rapid improvement in mortality among adult males during the former period. The average annual increase among females follows the expected trend.

Three models of mortality improvement were developed by the UN based on the past experience of a variety of countries. These are the "slow", "normal" and "fast" mortality improvement scenarios. The observed annual gains in e0 have been compared with the UN models of mortality improvement to see which model is best suited for Mauritius.  

Table 3.6 - U.N working model for mortality improvement, annual gains in life expectancy at birth according to selected initial levels of mortality assuming "fast", "normal" and "slow" improvements  

List of tables

              Comparison of observed e0 and expected e0 under "normal" and "slow" mortality improvement scenarios are given in table 3.7.  

The figures show that improvement in mortality for females during the period 1983-2000 approximately matches the UN "low mortality improvement" scenario. Among males however, improvement registered during the same period does not match with the gains even under the UN "low mortality improvement" scenario. An analysis of survival ratios during the last two decades was made to better understand the source of the problem.  

A detailed analysis of the figures indicates a deterioration in survival ratio among males in the age bracket 25-54 years during period 1983-90 while the deterioration shifted to age 15-24 years in 1990-2000. When the evolution in survival ratio is taken globally between 1983 and 2000, very little improvement is registered between ages 10 to 44 years. Among females, although almost no deterioration in survival ratio is registered during the period 1983-2000, improvement is rather slow in the age bracket 20-59 years, particularly in the age bracket 45-59 years.

The pattern of higher mortality among adult males compared to females observed in the past, still persists though to a lesser extent.  

Table 3.7 - Comparison of observed e0 with expected e0 under UN "normal" and "slow" mortality improvement scenarios

 

List of tables |Chapter 3

  In these circumstances, models of mortality improvement of the UN cannot be used. An alternative procedure for projecting mortality level and pattern which takes into account the existing mortality situation has been adopted.  

According to this procedure, the rate of improvement of age specific survival ratios for each sex during the period 1983-2000 is first determined. The rates thus obtained are then used to project survival ratios for each age group in the projection period. This is done by first locating in model life tables ( Coale and Guang, "New Regional Model Life table at High Expectation of life") the current mortality level (survival ratio) for a particular age and sex group. The survival ratios for the projection periods are then estimated using the rate of improvement already determined. In case the projected survival ratio attains a value equivalent to level 25 in the model, the survival ratio for the subsequent periods are kept constant. Once the whole set of survival ratios has been determined, the life expectancy at birth for each period is then determined.  

Table 3.8 - Life expectancy at birth implied in the mortality assumptions - Island of Mauritius and Island of Rodrigues

     

List of tables |Chapter 3

            The trend in the expectation of life at birth is then analysed to verify whether it progresses smoothly over time. The pattern of mortality by sex in all the projection period is also analysed to verify whether there is a smooth transition with age and over time. In the event that e0 and/or  mortality pattern does not progress smoothly, the survival ratios causing the problem are localised and then smoothed. The projection of survival ratios for the Island of Rodrigues was done in a similar fashion. The expectation of life at birth for each set of age-specific survival ratios was then calculated. These are given in the table 3.8 above.  

3.6       Migration assumptions  

3.6.1    Island of Mauritius  

Prior to 1979, the embarkation and disembarkation cards of all passengers were received at the office. They were then coded, processed and then tabulated to yield estimates of net migration.  

The large increase in passenger traffic in the seventies made it difficult to cope with the 100% coverage, and as from 1979, only a 10% sample was processed. This manual processing of the passenger traffic cards continued until the end of 1993. Although this system gave acceptable estimates of migration for several years, the continued rapid increase in the volume of passenger traffic seems to have been accompanied by an exacerbation of the inherent problems in reporting, sampling, coding and data capture. In particular, the coding of sex is subject to errors since the question is not explicitly asked, and the answer often has to be deduced from the name. Uncertainties also arise in distinguishing residents from non-residents because of inconsistencies between reported country of residence and permanent address. Hence the reliability of data on net international migration has suffered somewhat.  

With the coming into operation of the computerised system at the Passport and Immigration Office in 1994, passenger traffic data were obtained on diskette. The data consisted of records of Mauritian residents which was filtered from records of all arrivals and departures using the field "country of residence" = Mauritius. In the data file for residents, only one field required coding that is "district of residence". Once the data are coded, tabulations of net migration by age of migrants and by district of residence are produced.  

The data however show inconsistencies in age distribution as well as distribution by district when compared with the distribution of past emigrants as well as with data prior to 1994. The net overall migration also sometimes seems to be unrealistic.  

The only period for which net migration data based on passenger traffic data can be checked against an independent source, is the inter-censal period 1990-2000.  

Table 3.9 - Average annual net migration estimated from Census and passenger traffic data - Island of Mauritius  

 

List of tables |Chapter 3

Table 3.9 gives the estimated average annual inter-censal migration for the Island of Mauritius as well as corresponding estimates based on passenger traffic data. It is observed that there is no consistency between the different sets of figures, both with respect to the total as well as distribution by sex. Passenger traffic data on residents indicate that males are migrating in while females are leaving the country. A different picture is obtained if all passengers are considered, showing an inward movement of 633 males and 3,625 females during the period 1990-2000. Assuming that non-residents coming would eventually leave the country and that arrivals and departures of non-residents would balance out in the long run, net migration of all passengers should eventually converge towards net migration of residents. This is not the case however.  

Inter-censal migration is estimated using census data. Data by age and sex for two consecutive censuses are required as well as an appropriate set of age-sex specific survival ratios. The intercensal estimates for period 1990-2000 shown in table 3.9 appear to be more reasonable than estimates based on passenger traffic data, as it shows net out-migration of both males and females. This is in line with intercensal estimates 1983-1990 except that the relative importance of out-migration between the sexes has changed; there is now relatively less out-migration among females. The level of out-migration from one inter-censal period to the next has also decreased considerably (average annual rate of decrease being 18%).  

Table 3.10 - Projected average annual net migration, 2000-2040 - Island of Mauritius  

 

List of tables

Assuming that the fall in migration with time will continue at the same rate in the future, the projected annual net migration is expected to be as shown in table 3.10.  

3.6.2    Island of Rodrigues  

Migration data for the Island of Rodrigues is given below. It should be noted that figures are available only for all passengers because on the manifest of passengers travelling between the islands of Mauritius and Rodrigues, no distinction can be made between residents and non-residents. The passenger traffic data also show inconsistencies as for Mauritius. The passenger traffic data for the two inter-censal periods are highly inconsistent, the data for 1983-1990 showing more females (-150) leaving Rodrigues than males (-100) while the 1990-2000 data showing females leaving Rodrigues (-625) while males are returning back to Rodrigues (+19).  

Chapter 3

Table 3.11 - Average annual net migration estimated from Census and passenger traffic data - Island of Rodrigues  

 

Inter-censal data however show marked consistency between each other, the 1983-90 data showing equal number of males and females leaving Rodrigues annually (-300) and the 1990-2000 data showing the same balance between the sexes but the tempo has lowered ( about 200 of each sex leaving Rodrigues annually).  

List of tables 

Table 3.12 - Projected average annual net migration, 2000-2040 - Island of Rodrigues

 

List of tables

The projected yearly out-migration, which has been based on the inter-censal data, is shown in table 3.12 below.  

3.6.3    Republic of Mauritius  

The projected number migrants for the Republic of Mauritius will be the sum of migrants for the Island of Mauritius and the Island of Rodrigues.  

Chapter 3

Table 3.13 - Projected average annual net migration, 2000-2040 - Republic of Mauritius

   

List of tables

The age distribution of the migrants was taken to be the same as the that prevailing during the inter-censal 1990-2000 period.  

3.7       Implications of the population projections  

3.7.1    Population size and growth  

According to the medium variant population projections, the population of the Republic of Mauritius will grow from 1,186,873 in 2000 to around 1,486,000 in 2040, at an average annual rate of 0.56%. It is projected that the population of the Island of Mauritius will reach nearly 1,434,000 by 2040 and that of Rodrigues around 52,000.  

Chapter 3

3.7.2    Sex and age structure  

The sex ratio of the population is expected to continuously decline from 98.3 males per 100 females in 2000 to 95.9 in 2040 due to lower mortality prevailing among females.  

The projections also indicate a continuation in the process of ageing. The proportion of the population under 15 years of age will be decreasing from 25.7 % (305,288) in 2000 to around 18.4 % ( 273,261) within the next 40 years. This is the direct consequence of the fall in fertility in the projected period.  

The proportion of the elderly aged 60 years and over ( i.e eligible for basic retirement pension) is projected to increase from 9.1 % in 2000 to around 23.5% by 2040. In absolute numbers, there will be around 350,000 persons eligible for old age pension in 2040 against some 107,500 in 2000, that is, more than three times in number. The increase in the number of persons aged 60 years and above will mostly be felt as from year 2011. This corresponds to high fertility cohorts born in the 1950's onwards who will be attaining their sixties during that period.

The median age of the population is expected to increase from 29.0 years in 2000 to almost 40 in 2040 indicating a shift to an older population age structure.  

Chapter 3

3.7.3    Vital rates  

The crude birth rate is expected to fall from 16.6 live births per 1,000 population in period 2000-2005 to around 12.2 in period 2035-40. The crude death rate will however increase from 6.9 to almost 11.1 during the same period in spite of improving mortality. This is due to an ageing population whereby there will be higher proportion of population in the older ages giving rise to more deaths.  

Chapter 3

3.8       Comparing post-1990 Census population projections for year 2000 with 2000 Census figures  

The table below compares projected population figures for year 2000 based on post 1990-census projections (base year 1993) with 2000 census figures for the Republic and its component islands.  

The figures show that the projected figures for the Republic fall short of the population actually enumerated at the 2000 census by about 0.6%, that is, around 7000 persons were missed. Also, the sex ratio at 2000 census was lower (98.3) than projected (100.1).  

Table 3.14 - Comparing projected population figures for 2000 with 2000 Census figures - Republic of Mauritius, Island of Mauritius and Island of Rodrigues

   

In order to investigate the reasons for these discrepancies, the assumptions used in the projections were analysed to find out to what extent they materialised. It was found that average TFR assumed in the projection for the period 1993-2000 was 2.20 and was higher than the actual TFR of 2.11 prevailing during that period. Similarly, expectation of life at birth assumed for the period 1993-2000 were well above life expectancy actually prevailing during that period ( 67.7 against 66.9 for males and 75.0 against 74.4 for females). Thus both assumptions tend to overstate the projected figures.  

In contrast, the projections assumed higher level of migration than the actual level thus understating the projected figures. The figures assumed were 710 males and 1,130 females outmigrating annually during the period 1993-2000 as compared to average annual figures of 710 and 483 respectively. The sex ratio of migrants used in the assumption was lower than the actual sex ratio of migrants thus leading to higher sex ratio in the projected population.  

It can therefore be concluded that the discrepancies observed were mainly due to the migration assumption while the fertility and mortality assumptions tended to minimize them.  

As regards Rodrigues, the projected population figures fall short of the 2000 census figures by about 1.1%, though in terms of numbers it was just around 400. Discrepancies in the sex ratio were much less than observed in the Republic.  

Table of Content |List of tables | Chapter 3