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Multilingual Demographic Dictionary, second unified edition, English volume
Exponential growth
| Translation | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Section | English 702 |
Arabic 702 |
Czech 702 |
German 702 |
Spanish 702 |
French 702 |
Italian 702 |
Japanese 702 |
Portuguese 702 |
Russian 702 |
Chinese 702 |
| 702-1 | growth rate | معدل الزيادة—معدل النمو | míra celkového přírůstku | Wachstumsziffer —Wachstumsrate |
tasa de crecimiento | taux d’accroissement | tasso d'incremento | 増加率 | taxa de crescimento | Коэффициент прироста (населения) | 增长率 |
| 702-2 | mean annual rate of growth | معدل الزيادة السنوي المتوسط | průměrná míra ročního přírůstku | durchschnittliche jährliche Wachstumsziffer —durchschnittliche jährliche Wachstumsrate |
tasa anual media de crecimiento | taux annuel moyen d’accroissement | tasso medio annuo d'incremento | 年平均増加率 | taxa média anual de crescimento | Среднегодовой коэффициент прироста населения | 平均年增长率 |
| 702-3 | exponential growth | زيادة أسية—نمو أسي | exponenciální růst | exponentielle Wachstum | crecimiento exponencial —crecimiento geométrico |
croissance exponentielle —croissance géométrique |
crescita esponenziale —incremento geometrico |
指数関数的増加 | crescimento exponencial —crescimento geométrico |
Экспоненциальный рост населения | 指数增长 |
| 702-4 | exponential population | محتمع أسي | exponenciální populace | exponentielle Bevölkerung | población exponencial | population exponentielle | popolazione esponenziale | 指数関数的人口 | população exponencial | Экспоненциальное население | 指数人口 |
| 702-5 | exponential growth rate —instantaneous rate of growth |
معدل الزيادة الأسي—معدل الزيادة اللحظي | míra exponenciálního růstu | exponentielle Wachstumsrate —Wachstumsintensität —Grenzwert des Wachstums |
tasa instantánea de crecimiento | taux instantané d’accroissement | tasso d'incremento composto continuamente | 指数関数的増加率 —瞬間増加率 |
taxa instantânea de crescimento | Экспоненциальный темп роста —Мгновенный темп роста |
指数增长率 —瞬间增长率 |
| 702-6 | crude rate of natural increase | معدل الزياة الطبيعية—معدل النمو الطبيعي | hrubá míra přirozeného přírůstku | Ziffer des natürlichen Wachstums —Geburtenbilanzziffer |
tasa de crecimiento natural | taux d’accroissement naturel | tasso d'incremento naturale | 粗自然増加率 | taxa bruta de crescimento natural | Коэффициент естественного прироста | 粗自然增长率 |
| 702-7 | vital index | دليل الحيوي | vitální index | índice vital | indice vital | indice vitale | 生命指標 | índice vital | Индекс жизненности | 生命指数 | |
The ratio of total growth in a given period to the mean population of that period is called the growth rate 1. Occasionally this rate is computed with the population at the beginning of the period rather than with the mean population as a denominator. When population increase over a period of more than one calendar year is studied, the mean annual rate of growth 2 may be computed. In computing this rate it is sometimes assumed that the population is subjected to exponential growth 3 during the period, and time is treated as a continuous variable. The size of an exponential population 4 would grow as an exponential function of time. The exponential growth rate 5 is equal to the instantaneous rate of growth 5. The ratio of natural increase (701-7) to the average population during a period is called the crude rate of natural increase 6 and is equal to the difference between the crude birth rate and the crude death rate. The vital index 7 is the ratio of the number of births to the number of deaths during a period; this measure is no longer much used.
- 3. When time is treated as a discrete variable, reference is made to geometric growth.
- 4. This is occasionally called a Malthusian population, but the term is ambiguous in view of its sociological connotations (see 906-1).