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18 November 215 Population projections 215 265 Summary Statistics Iceland publishes every year updated short (5 years) and long term (5 years) population projections. According to the medium projection variant, the Icelandic population will grow, from 329 to 437 thousand persons during the next 5 years, due to both migration and natural increase. The high variant predicts a population of 513 thousand while the low variant projects to 372 thousand inhabitants. The projection variants are built according to different assumptions about economic growth, fertility and migration levels. The number of births per year will exceed the number of deaths per year during the entire period, for high and medium variants. Life expectancy at birth for both men and women will grow: from 83.5 years in 215 to 88.5 years in 265 for women and from 79.5 to 84.3 years for men. The immigration rates are expected to exceed the emigration rates, which is mainly due to a high level of foreign immigration to Iceland. The number of emigrating Icelandic citizens will continue to be higher than the number of returning citizens. Population structure is predicted to change as follows: After 235, the total number of men will become smaller than the total number of women (per year). This effect is due to the difference between men s and women s longevities. The phenomenon has been significantly postponed by the high level of male immigration during the years 22 26. The ratio will grow again, around 25, reflecting the fact that the life expectancy of men will rise with time. By 235, 2% of the population will be 65 years and older and by 261 the percentage will be over 25%. After 25, the working age population (defined as 2 to 65 years old) will have to support more people of older than younger ages. The time span and the projection variants Overview In this paper, we describe the population development and its structure for the next 5 years. The long time horizon is chosen since the demographic processes are in general very slow and build up to significant effects over decades. Apart from the main data driven prediction called medium variant, two alternative projections called low and high variants are provided. Appendix 1 explains the way they are constructed. The variants are used in order to analyse the impact of different economic and demographic assumptions on future population development.

2 They do not provide a measure of uncertainty in the forecasts nor is any attempt made to estimate how likely one or the other of these variants is. The general methodology is briefly described in appendix 2. Measures of uncertainty and confidence in predicted values are given when these values are based on time series modelling and forecasting. This accounts for the statistical errors but not for the uncertainty in the main qualitative assumptions made regarding future developments. The population projection results are based on the evolution of the number of births, deaths, immigrants and emigrants per year in the next five decades. These are analysed in more detail in what follows. The population structure and some implications of its change in time are described in the last section of the paper. Figure 1. Population development 196 265 6, Number 5, 4, 3, 2, 1, 196 198 2 22 24 26 Low Medium High More than half a million people after 25 The total population of Iceland will continue to grow in the next 5 years, according to the medium and high projection variants. The low variant, based on low fertility and low net migration rates, shows a change in this trend a few years before the end of the forecasting period. On the 1st of January 215 the population of Iceland was 329,1. According to the medium projection variant there will be 437,336 inhabitants in 265, 513,116 according to the high and 372,642 according to the low variant. This amounts to an overall growth for the medium, high and low variants of 56%, 88% and 24%, respectively. The optimistic variant sees the Icelandic population exceeding half a million inhabitants around 26 while the pessimistic one predicts a decrease in population after 255. This is essentially due to dissimilar fertility rates predictions for these two variants, as well as different migration scenarios. The distinct values at the end of the short term (215 219) projection variants, 342,59 (medium), 338,37 (low) and 347,64 (high) are primarily the result of differences in assumptions regarding GDP growth and unemployment rates.

3 Evolution of fertility rates The age-specific fertility rates are measures of the relative frequency of childbearing among women of different ages within the reproductive years. Using time series methods and known past values of these rates, future values can be predicted. The total fertility rate estimates the number of expected children per woman according to the childbearing patterns thus calculated. This is shown in figure 2 for both past and future 5 years. Figure 2. Total fertility rate per year 197 265 3.1 % 2.9 2.7 2.5 2.3 2.1 1.9 1.7 1.5 197 198 199 2 21 22 23 24 25 26 Medium Low High All variants display a decline for about 3 years, followed by a slight recovery. The latter phenomenon is explained by the local peak in the number of births recorded in 28 21 (figure 3) and by the average age of mothers which was 32 years during this period. The forecast of total fertility rate allows calculations of the number of future births and thus birth rates (births per 1, people per year) shown in figure 3. The total fertility rate evolves from 1.87 (medium) in 215 to 1.83 (medium), 1.98 (low) and 2.15 (high) in 219 and to 1.94 (medium), 1.8 (low) and 2.1 (high) at the end of the projection period, 265. In figure 3, the 8% confidence intervals of short term predictions (of +/-.17 width in 218) are smoothly connected to the low and high values fixed by variant assumptions for 265. Increase of life expectancy Figure 3 also contains the long term evolution of the crude death rates (number of deaths per year per 1, persons). They are used for calculating life expectancies. The increase in the death rate is due to population aging which is analysed in more detail in the following section. People in Iceland will live longer: the life expectancy at birth (the average number of living years left) will grow from 79.5 and 83.5 years in 215 to 84.3 and 88.5 years in 265, for men and women respectively.

4 Figure 3. Crude birth rate and death rate 196 265 25. % 2. Births 15. 1. Deaths 5.. 197 198 199 2 21 22 23 24 25 26 Medium Medium Low High Low High Migration and population growth As a result, the natural population increase (the difference between the number of births and deaths per year) remains positive throughout the period, although it slows down, for both medium and high variants. This can be seen in figure 3, where the curves for birth and death rates do not intersect before 265. The low variant of the population projection, based on the hypothesis of low net migration and low fertility rates, has a different result: the number of deaths per year exceeds the number of births per year, after 245. The change in total population is also influenced by migration processes to a significant extent. Modelling migration processes has become more challenging because of strong fluctuations in the Icelandic economy in recent years. For short term forecasting, dynamical time series models are used which take into account, due to their statistical significance, economic factors (GDP and unemployment) and educational parameters (number of graduating students). The net migration rate (difference between number of immigrants and emigrants per year) will stay positive in the next 5 years, for the medium variant, although its 8% confidence intervals do not exclude zero net migration for all but the first year. The high variant also stays positive but the low one reaches negative values by 217, as shown in figure 4.

5 Figure 4. Net migration per year 2 218 5, 4, 3, 2, 1, -1, -2, Number -3, 2 22 24 26 28 21 212 214 216 218 Medium variant High/Low variants 8% confidence intervals of medium variant This trend is similar for the long term predictions as well. The positive values are always due to positive net migration rates of foreign citizens. The net migration rates of Icelandic citizens will be negative although not very large in absolute values (see figure 5). Figure 5. Net migration of Icelandic and foreign citizens 197 265, medium variant 5, Number 4, 3, 2, 1, -1, -2, -3, 197 198 199 2 21 22 23 24 25 26 Icelandic citizens Foreign citizens The long term values are kept constant, mainly due to lack of long term economic prediction, i.e. the net migration rate is assumed to be equal to -8 and 1,6 persons (per year) of Icelandic and foreign citizenship, respectively. The total population increase is an annual percentage rate which measures the total change between two successive years (see figure 6), due to both natural and migration processes.

6 Figure 6. Yearly population increase 197 265 3. % 2.5 2. 1.5 1..5. -.5-1. 197 198 199 2 21 22 23 24 25 26 Medium Low High Comparing figures 3 and 6, it can be seen that the positive net migration rates postpone the time for the population decreas by about 1 years, in the low variant. It also enhances the positive values of the high and medium variants. During the past 5 years, the yearly value of the population increase has been oscillating around 1% and a similar behaviour is predicted for the next 5 years. The percentage is predicted to decrease after 256 according to the low projection variant.

7 The age pyramids Changes in population structure The changes in population age and sex distribution are presented in a compact way by age pyramids. They visualise the number of men and women by age for each year. For 265, the medium variant age pyramid is shown against the 215 age pyramid in figure 7. Figure 7. Age pyramids for 215 and 265 (medium variant) 19 Age 1 91 82 73 64 55 46 37 28 19 1 Men Women 1 3 2 1 1 2 3 265 medium variant 215 The main consequence of the age structure development is that the following annual indicators all increase with time: * the ratio between the number of men and women * the old and young dependency ratios * the number and percentage of people of old age. Changes in sex ratio The ratio between the number of men and women (men per 1, women per year) will evolve as follows.

8 Figure 8. Population sex ratio 195 265 1,4 Number of males per 1, females a year 1,3 1,2 1,1 1, 99 195 197 199 21 23 25 195 214 Medium Low High Figure 8 shows that the sex ratio will decrease, in the medium variant, until 247, to its lowest value since 195. After 24, its value is even smaller than 1, (and stays like that until 257). This means that the total number of men (all ages) is smaller than the total number of women for each year, after 24. In order to explain this we need to take into account that: a) the sex ratio at birth is on average 1,53.3 boys to 1, girls b) men have a shorter life expectancy than women, although this difference has decreased in recent years and will continue to do so c) unless a strong perturbation occurs (usually due to migration, but sometime natural increase), the population sex ratio will decrease naturally over time. Figure 8 illustrates this: the peak before 196 is due to natural population increase, which had a local maximum between 195 196, and to the value of the sex ratio at birth the decline which can be seen after 196 is a result of a higher number of deaths among men than women between 196 and 199 (which were mainly due to cardiovascular diseases) the peak just before 21 is due to the high migration levels during the economic boom of 22 26, which basically postponed the natural decline of the sex ratio (which started in the 197 s and was already approaching the value of 1, in the year 23) by almost 3 years the increase seen after 25 is due to the increasing life expectancy of men with time. Most European countries, and countries with ageing populations in general, have fewer men than women.

9 Changes in dependency ratios The age distribution of the population evolves in time as well. As a result, we will witness a continuous rise in the number of people who do not belong to the working ages (defined as 2 to 65). The ratio between these numbers and the number of working age people, for each year, define the so-called dependency ratios. The dependency ratios for the old and the young will interchange their traditional roles in the next decades, according to medium and low scenarios. As shown in figure 9, the active population will have to support more people of older than younger ages, according to the medium variant already in 25, and in 237 according to the low variant. The support of the young is always dominant for the high projection variant. This can also be noticed by looking at the age pyramids (figure 7). Figure 9. Old and young dependency ratios (percentage per year) % 1. 9. 8. 7. 6. Young 5. 4. 3. Old 2. 1.. 197 198 199 2 21 22 23 24 25 26 Medium Low High Medium Many generations per family The difference in life expectancy between men and women will have an influence on the evolution of the annual number of older people in Iceland. For example, the number of centenarians (per year) will increase in the next five decades, especially among women. Figure 1 shows when some of the large number of people born after 194 reach the age of 1 years, around 24. The number of men surviving to this age is much smaller than the number of women.

1 Figure 1. The number of men and women over 1 years old, per year, 196 265 35 Number Number 7 3 6 25 5 2 4 15 3 1 2 5 1 196 198 2 22 24 26 Women (left axis) Men (right axis) The annual number of people over 65 years old will also grow significantly, according to the predictions for all variants. By 235, one in five Icelanders, and by 261 already more than a quarter of the people, will be over 65 years old. Figure 11. The proportion of people older than 65, per year, medium variant 3 % % 6 25 5 2 4 15 3 1 2 5 1 21 22 23 24 25 26 27 65+ (left axis) 85+ (right axis) The annual rate of growth of the proportion of people over 85 years of age is expected to increase with time, as shown in figure 11, doubling its value in approximately 2 years. This is in agreement with the European statistical office, Eurostat, projections for EU states in the next 5 years. 1 As a result, family patterns in Iceland will become richer, linking more generations than we are used to in present times. 1 http://epp.eurostat.ec.europa.eu

11 Iceland remains a young country Conclusions Although the population is ageing and the population growth is rather slow, Iceland is and will be younger than most European countries, where more than one third of all people will be over 65 years old in 265, compared with only a quarter in Iceland. An important factor in slowing down population ageing is the total fertility rate, which is still relatively high in Iceland and comparable only with the French and Irish rates in Europe. As a consequence, the number of births in Iceland will continue to exceed the number of deaths for the medium and high projection variants during 215 265 and for most of the time even in the low projection variant, in stark contrast to the EU figures. 1 For EU as a whole, a natural decrease (more deaths than births) is expected already in 215 resulting in a population growth based entirely on positive net migration rates in some countries or a population decline in others. Appendix 1. The projection variants For the current projection, the alternative forecasts or projection variants are built as follows: The short term values for migration and fertility rates and the short and long term predicted values of mortality rates are based on time series modelling. The latter are used for life expectancy calculations. Short term migration rates are modelled for three different economic scenarios. The medium scenario is based on the current Statistics Iceland predictions for GDP growth and unemployment rates. The optimistic (or high ) scenario assumes higher GDP growth (double than the current Statistics Iceland predictions) and low unemployment. The pessimistic (or low ) scenario assumes no GDP growth and high unemployment. The long term values of net migration rates and fertility rates are constrained to converge to fixed values given by expert assumptions. No high and low variants are assumed for the mortality rates. The low total population projection variant is obtained from: low net migration predictions and low fertility rates predictions; the high population projection variant is obtained from: high net migration rates and high fertility rates predictions. Appendix 2. Methods The mathematical methods are described in detail in an accompanying working paper. 2 The methodology used for modelling and forecasting has been updated. The calculations have two main parts. The first is based on time series analysis methods taking into account: previous data on migration, births and deaths economic and educational short term predictions 1 http://epp.eurostat.ec.europa.eu 2 http://www.hagstofa.is/utgafur/

12 several conditions concerning the population components and their interaction the population at the beginning of the current year. As a result of modelling the future distribution of migration, births and deaths by sex, age and citizenship can be predicted. The second part consists of combining the results mentioned above, at each time step, such that: the number of persons in a given year who have a given age is the number of persons in the previous year who were one year younger, plus the number of corresponding age persons who moved to Iceland minus the number of same age people who died or emigrated during that year. This simple balance does of course add the number of children born in the previous year when calculating the total numbers for the corresponding age groups. The reference date for each year is 1st of January and the data used are register data. Statistical Series Population Vol. 1 Issue 42 18 November 215 ISSN 167-477 Supervision: Violeta Calian violeta.calian@statice.is Ómar Harðarson omar.hardarson@statice.is www.statice.is Telephone (+354) 528 1 Statistics Iceland Borgartún 21a IS-15 Reykjavík Iceland Fax (+354) 528 199 Reproduction and distribution are permitted provided that the source is mentioned.