http://en-ii.demopaedia.org/w/index.php?title=70&feed=atom&action=history70 - Revision history2024-03-29T11:24:48ZRevision history for this page on the wikiMediaWiki 1.28.0http://en-ii.demopaedia.org/w/index.php?title=70&diff=14867&oldid=prevNicolas Brouard: /* 703 */2018-07-22T13:52:56Z<p><span dir="auto"><span class="autocomment">703</span></span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 13:52, 22 July 2018</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Line 19:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of ...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable ...}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable ...|OtherIndexEntry2=distribution, stable age ...}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial ...|OtherIndexEntry2=distribution, initial age ...}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth ...}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703|OtherIndexEntry=momentum, demographic ...}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary ...}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life table taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable ...|OtherIndexEntry2=stable population, quasi-...}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of a{{NewTextTerm|semi-stable population|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable ...|OtherIndexEntry2=stable population, semi-...}} which is a closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic ...}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic ...}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of ...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable ...}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable ...|OtherIndexEntry2=distribution, stable age ...}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial ...|OtherIndexEntry2=distribution, initial age ...}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth ...}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703|OtherIndexEntry=momentum, demographic ...}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary ...}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life table taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable ...|OtherIndexEntry2=stable population, quasi-...}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of a {{NewTextTerm|semi-stable population|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable ...|OtherIndexEntry2=stable population, semi-...}} which is a closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic ...}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic ...}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...}} (or {{NoteTerm|stable birth rate|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...}}) and the {{NoteTerm|intrinsic death rate|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...}} (or {{NoteTerm|stable death rate|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...}}).}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...}} (or {{NoteTerm|stable birth rate|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...}}) and the {{NoteTerm|intrinsic death rate|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...}} (or {{NoteTerm|stable death rate|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...}}).}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable|IndexEntry=stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable|IndexEntry=stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td></tr>
</table>Nicolas Brouardhttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14866&oldid=prevNicolas Brouard: /* 703 */ singular2018-07-22T13:49:25Z<p><span dir="auto"><span class="autocomment">703: </span> singular</span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 13:49, 22 July 2018</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Line 19:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of ...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable ...}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable ...|OtherIndexEntry2=distribution, stable age ...}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial ...|OtherIndexEntry2=distribution, initial age ...}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth ...}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703|OtherIndexEntry=momentum, demographic ...}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary ...}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life table taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable ...|OtherIndexEntry2=stable population, quasi-...}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable <del class="diffchange diffchange-inline">populations</del>|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable ...|OtherIndexEntry2=stable population, semi-...}} which <del class="diffchange diffchange-inline">are </del>closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic ...}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic ...}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of ...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable ...}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable ...|OtherIndexEntry2=distribution, stable age ...}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial ...|OtherIndexEntry2=distribution, initial age ...}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth ...}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703|OtherIndexEntry=momentum, demographic ...}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary ...}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life table taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable ...|OtherIndexEntry2=stable population, quasi-...}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of <ins class="diffchange diffchange-inline">a</ins>{{NewTextTerm|semi-stable <ins class="diffchange diffchange-inline">population</ins>|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable ...|OtherIndexEntry2=stable population, semi-...}} which <ins class="diffchange diffchange-inline">is a </ins>closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic ...}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic ...}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...}} (or {{NoteTerm|stable birth rate|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...}}) and the {{NoteTerm|intrinsic death rate|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...}} (or {{NoteTerm|stable death rate|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...}}).}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...}} (or {{NoteTerm|stable birth rate|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...}}) and the {{NoteTerm|intrinsic death rate|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...}} (or {{NoteTerm|stable death rate|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...}}).}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable|IndexEntry=stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable|IndexEntry=stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td></tr>
</table>Nicolas Brouardhttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14864&oldid=prevNicolas Brouard: /* 701 */ constant instead of invariable2018-07-22T13:42:53Z<p><span dir="auto"><span class="autocomment">701: </span> constant instead of invariable</span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 13:42, 22 July 2018</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 701 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 701 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The interaction of fertility, mortality and migration leads to a consideration of {{TextTerm|population growth|1|701|OtherIndexEntry=growth, population ...}}. A {{NewTextTerm|zero population growth|10|701|OtherIndexEntry=population, zero ... growth|OtherIndexEntry2=growth, zero population ...}} refers to a population of <del class="diffchange diffchange-inline">invariable </del>size. It is convenient to regard {{TextTerm|population decline|2|701|OtherIndexEntry=decline, population ...}} as {{TextTerm|negative growth|3|701|OtherIndexEntry=growth, negative ...}}. A distinction may be drawn between a {{TextTerm|closed population|4|701|OtherIndexEntry=population, closed ...}} in which there is no migration either inwards or outwards and whose growth depends entirely on the difference between births and deaths, and an {{TextTerm|open population|5|701|OtherIndexEntry=population, open ...}} in which there may be migration. The growth of an open population consists of the {{TextTerm|balance of migration|6|701|OtherIndexEntry=migration, balance of ...}} or {{TextTerm|net migration|6|701|2|OtherIndexEntry=migration, net ...}} and {{TextTerm|natural increase|7|701|OtherIndexEntry=increase, natural ...}}, which is the {{TextTerm|excess of births over deaths|8|701|OtherIndexEntry=death, excess of births over deaths|OtherIndexEntry2=birth, excess of births over deaths}} or {{NewTextTerm|deficit of births over deaths|9|701|OtherIndexEntry=death, deficit of births over deaths|OtherIndexEntry2=birth, deficit of births over deaths}} sometimes called the {{TextTerm|balance of births and deaths|8|701|2|OtherIndexEntry=birth, balance of births and deaths|OtherIndexEntry2=death, balance of births and deaths}}. Any change in one variable affects the overall growth and structure of a population; in this context {{NewTextTerm|growth effects|11|701|IndexEntry=growth effet|OtherIndexEntry=effect, growth ...}} and {{NewTextTerm|structural effects|12|701|IndexEntry=structural effect|OtherIndexEntry=effect, structural ...}} are determined.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The interaction of fertility, mortality and migration leads to a consideration of {{TextTerm|population growth|1|701|OtherIndexEntry=growth, population ...}}. A {{NewTextTerm|zero population growth|10|701|OtherIndexEntry=population, zero ... growth|OtherIndexEntry2=growth, zero population ...}} refers to a population of <ins class="diffchange diffchange-inline">constant </ins>size. It is convenient to regard {{TextTerm|population decline|2|701|OtherIndexEntry=decline, population ...}} as {{TextTerm|negative growth|3|701|OtherIndexEntry=growth, negative ...}}. A distinction may be drawn between a {{TextTerm|closed population|4|701|OtherIndexEntry=population, closed ...}} in which there is no migration either inwards or outwards and whose growth depends entirely on the difference between births and deaths, and an {{TextTerm|open population|5|701|OtherIndexEntry=population, open ...}} in which there may be migration. The growth of an open population consists of the {{TextTerm|balance of migration|6|701|OtherIndexEntry=migration, balance of ...}} or {{TextTerm|net migration|6|701|2|OtherIndexEntry=migration, net ...}} and {{TextTerm|natural increase|7|701|OtherIndexEntry=increase, natural ...}}, which is the {{TextTerm|excess of births over deaths|8|701|OtherIndexEntry=death, excess of births over deaths|OtherIndexEntry2=birth, excess of births over deaths}} or {{NewTextTerm|deficit of births over deaths|9|701|OtherIndexEntry=death, deficit of births over deaths|OtherIndexEntry2=birth, deficit of births over deaths}} sometimes called the {{TextTerm|balance of births and deaths|8|701|2|OtherIndexEntry=birth, balance of births and deaths|OtherIndexEntry2=death, balance of births and deaths}}. Any change in one variable affects the overall growth and structure of a population; in this context {{NewTextTerm|growth effects|11|701|IndexEntry=growth effet|OtherIndexEntry=effect, growth ...}} and {{NewTextTerm|structural effects|12|701|IndexEntry=structural effect|OtherIndexEntry=effect, structural ...}} are determined.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 702 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 702 ===</div></td></tr>
</table>Nicolas Brouardhttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14514&oldid=prevStan BECKER: /* 703 */2014-11-25T19:02:31Z<p><span dir="auto"><span class="autocomment">703</span></span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 19:02, 25 November 2014</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Line 19:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of ...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable ...}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable ...|OtherIndexEntry2=distribution, stable age ...}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial ...|OtherIndexEntry2=distribution, initial age ...}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth ...}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703|OtherIndexEntry=momentum, demographic ...}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary ...}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life <del class="diffchange diffchange-inline">tables </del>taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable ...|OtherIndexEntry2=stable population, quasi-...}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable ...|OtherIndexEntry2=stable population, semi-...}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic ...}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic ...}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of ...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable ...}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable ...|OtherIndexEntry2=distribution, stable age ...}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial ...|OtherIndexEntry2=distribution, initial age ...}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth ...}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703|OtherIndexEntry=momentum, demographic ...}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary ...}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life <ins class="diffchange diffchange-inline">table </ins>taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable ...|OtherIndexEntry2=stable population, quasi-...}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable ...|OtherIndexEntry2=stable population, semi-...}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic ...}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic ...}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...}} (or {{NoteTerm|stable birth rate|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...}}) and the {{NoteTerm|intrinsic death rate|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...}} (or {{NoteTerm|stable death rate|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...}}).}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...}} (or {{NoteTerm|stable birth rate|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...}}) and the {{NoteTerm|intrinsic death rate|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...}} (or {{NoteTerm|stable death rate|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...}}).}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable|IndexEntry=stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable|IndexEntry=stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td></tr>
</table>Stan BECKERhttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14513&oldid=prevStan BECKER: /* 703 */ (during wars for example) dropped2014-11-25T18:59:40Z<p><span dir="auto"><span class="autocomment">703: </span> (during wars for example) dropped</span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
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<tr style='vertical-align: top;' lang='en'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 18:59, 25 November 2014</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Line 19:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of ...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable ...}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable ...|OtherIndexEntry2=distribution, stable age ...}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial ...|OtherIndexEntry2=distribution, initial age ...}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth ...}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703|OtherIndexEntry=momentum, demographic ...}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births <del class="diffchange diffchange-inline">(during wars for example) </del>and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary ...}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable ...|OtherIndexEntry2=stable population, quasi-...}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable ...|OtherIndexEntry2=stable population, semi-...}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic ...}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic ...}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of ...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable ...}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable ...|OtherIndexEntry2=distribution, stable age ...}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial ...|OtherIndexEntry2=distribution, initial age ...}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth ...}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703|OtherIndexEntry=momentum, demographic ...}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary ...}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable ...|OtherIndexEntry2=stable population, quasi-...}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable ...|OtherIndexEntry2=stable population, semi-...}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic ...}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic ...}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...}} (or {{NoteTerm|stable birth rate|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...}}) and the {{NoteTerm|intrinsic death rate|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...}} (or {{NoteTerm|stable death rate|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...}}).}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...}} (or {{NoteTerm|stable birth rate|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...}}) and the {{NoteTerm|intrinsic death rate|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...}} (or {{NoteTerm|stable death rate|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...}}).}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable|IndexEntry=stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable|IndexEntry=stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td></tr>
</table>Stan BECKERhttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14282&oldid=prevJoseph Larmarange: Index improvements2013-08-23T00:52:08Z<p>Index improvements</p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 00:52, 23 August 2013</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9" >Line 9:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 701 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 701 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The interaction of fertility, mortality and migration leads to a consideration of {{TextTerm|population growth|1|701|OtherIndexEntry=growth, population}}. A {{NewTextTerm|zero population growth|10|701|OtherIndexEntry=population, zero ... growth}} refers to a population of invariable size. It is convenient to regard {{TextTerm|population decline|2|701|OtherIndexEntry=decline, population}} as {{TextTerm|negative growth|3|701|OtherIndexEntry=growth, negative}}. A distinction may be drawn between a {{TextTerm|closed population|4|701|OtherIndexEntry=population, closed}} in which there is no migration either inwards or outwards and whose growth depends entirely on the difference between births and deaths, and an {{TextTerm|open population|5|701|OtherIndexEntry=population, open}} in which there may be migration. The growth of an open population consists of the {{TextTerm|balance of migration|6|701|OtherIndexEntry=migration, balance of}} or {{TextTerm|net migration|6|701|2|OtherIndexEntry=migration, net}} and {{TextTerm|natural increase|7|701|OtherIndexEntry=increase, natural}}, which is the {{TextTerm|excess of births over deaths|8|701|OtherIndexEntry=deaths, excess of births over}} or {{NewTextTerm|deficit of births over deaths|9|701|OtherIndexEntry=deaths, deficit of births over}} sometimes called the {{TextTerm|balance of births and deaths|8|701|2|OtherIndexEntry=births and deaths, balance of}}. Any change in one variable affects the overall growth and structure of a population; in this context {{NewTextTerm|growth effects|11|701}} and {{NewTextTerm|structural effects|12|701}} are determined.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The interaction of fertility, mortality and migration leads to a consideration of {{TextTerm|population growth|1|701|OtherIndexEntry=growth, population <ins class="diffchange diffchange-inline">...</ins>}}. A {{NewTextTerm|zero population growth|10|701|OtherIndexEntry=population, zero ... growth<ins class="diffchange diffchange-inline">|OtherIndexEntry2=growth, zero population ...</ins>}} refers to a population of invariable size. It is convenient to regard {{TextTerm|population decline|2|701|OtherIndexEntry=decline, population <ins class="diffchange diffchange-inline">...</ins>}} as {{TextTerm|negative growth|3|701|OtherIndexEntry=growth, negative <ins class="diffchange diffchange-inline">...</ins>}}. A distinction may be drawn between a {{TextTerm|closed population|4|701|OtherIndexEntry=population, closed <ins class="diffchange diffchange-inline">...</ins>}} in which there is no migration either inwards or outwards and whose growth depends entirely on the difference between births and deaths, and an {{TextTerm|open population|5|701|OtherIndexEntry=population, open <ins class="diffchange diffchange-inline">...</ins>}} in which there may be migration. The growth of an open population consists of the {{TextTerm|balance of migration|6|701|OtherIndexEntry=migration, balance of <ins class="diffchange diffchange-inline">...</ins>}} or {{TextTerm|net migration|6|701|2|OtherIndexEntry=migration, net <ins class="diffchange diffchange-inline">...</ins>}} and {{TextTerm|natural increase|7|701|OtherIndexEntry=increase, natural <ins class="diffchange diffchange-inline">...</ins>}}, which is the {{TextTerm|excess of births over deaths|8|701|OtherIndexEntry=<ins class="diffchange diffchange-inline">death, excess of births over </ins>deaths<ins class="diffchange diffchange-inline">|OtherIndexEntry2=birth</ins>, excess of births over <ins class="diffchange diffchange-inline">deaths</ins>}} or {{NewTextTerm|deficit of births over deaths|9|701|OtherIndexEntry=<ins class="diffchange diffchange-inline">death, deficit of births over </ins>deaths<ins class="diffchange diffchange-inline">|OtherIndexEntry2=birth</ins>, deficit of births over <ins class="diffchange diffchange-inline">deaths</ins>}} sometimes called the {{TextTerm|balance of births and deaths|8|701|2|OtherIndexEntry=<ins class="diffchange diffchange-inline">birth, balance of </ins>births and deaths<ins class="diffchange diffchange-inline">|OtherIndexEntry2=death</ins>, balance of <ins class="diffchange diffchange-inline">births and deaths</ins>}}. Any change in one variable affects the overall growth and structure of a population; in this context {{NewTextTerm|growth effects|11|701<ins class="diffchange diffchange-inline">|IndexEntry=growth effet|OtherIndexEntry=effect, growth ...</ins>}} and {{NewTextTerm|structural effects|12|701<ins class="diffchange diffchange-inline">|IndexEntry=structural effect|OtherIndexEntry=effect, structural ...</ins>}} are determined.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 702 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 702 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The ratio of total growth in a given period to the mean population of that period is called the {{TextTerm|growth rate|1|702|OtherIndexEntry=rate, growth}}. 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 {{TextTerm|mean annual rate of growth|2|702|OtherIndexEntry=annual rate of growth, mean}} may be computed. In computing this rate it is sometimes assumed that the population is subjected to {{TextTerm|exponential growth|3|702|OtherIndexEntry=growth, exponential}} during the period, and time is treated as a continuous variable. The size of an {{TextTerm|exponential population|4|702|OtherIndexEntry=population, exponential}} would grow as an exponential function of time. The {{TextTerm|exponential growth rate|5|702|OtherIndexEntry=growth rate, exponential}} is equal to the {{TextTerm|instantaneous rate of growth|5|702|2|OtherIndexEntry=rate of growth, instantaneous}}. The ratio of natural increase ({{RefNumber|70|1|7}}) to the average population during a period is called the {{TextTerm|crude rate of natural increase|6|702|OtherIndexEntry=natural increase, crude rate of}} and is equal to the difference between the crude birth rate and the crude death rate. The {{TextTerm|vital index|7|702|OtherIndexEntry=index, vital}} is the ratio of the number of births to the number of deaths during a period; this measure is no longer much used.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The ratio of total growth in a given period to the mean population of that period is called the {{TextTerm|growth rate|1|702|OtherIndexEntry=rate, growth <ins class="diffchange diffchange-inline">...</ins>}}. 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 {{TextTerm|mean annual rate of growth|2|702|OtherIndexEntry=annual rate of growth, mean <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=rate of growth, mean annual ...|OtherIndexEntry3=growth, mean annual rate of ...</ins>}} may be computed. In computing this rate it is sometimes assumed that the population is subjected to {{TextTerm|exponential growth|3|702|OtherIndexEntry=growth, exponential <ins class="diffchange diffchange-inline">...</ins>}} during the period, and time is treated as a continuous variable. The size of an {{TextTerm|exponential population|4|702|OtherIndexEntry=population, exponential <ins class="diffchange diffchange-inline">...</ins>}} would grow as an exponential function of time. The {{TextTerm|exponential growth rate|5|702|OtherIndexEntry=growth rate, exponential <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=rate, exponential growth ...</ins>}} is equal to the {{TextTerm|instantaneous rate of growth|5|702|2|OtherIndexEntry=rate of growth, instantaneous <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=growth, instantaneous rate of ...</ins>}}. The ratio of natural increase ({{RefNumber|70|1|7}}) to the average population during a period is called the {{TextTerm|crude rate of natural increase|6|702|OtherIndexEntry=natural increase, crude rate of <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=increase, crude rate of natural ...|OtherIndexEntry3=rate of natural increase, crude ...</ins>}} and is equal to the difference between the crude birth rate and the crude death rate. The {{TextTerm|vital index|7|702|OtherIndexEntry=index, vital <ins class="diffchange diffchange-inline">...</ins>}} is the ratio of the number of births to the number of deaths during a period; this measure is no longer much used.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Note|3| When time is treated as a discrete variable, reference is made to {{NoteTerm|geometric growth}}. }}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Note|3| When time is treated as a discrete variable, reference is made to {{NoteTerm|geometric growth<ins class="diffchange diffchange-inline">|OtherIndexEntry=growth, geometric ...</ins>}}. }}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Note|4| This is occasionally called a {{NoteTerm|Malthusian population}}, but the term is ambiguous in view of its sociological connotations (see {{RefNumber|90|6|1}}).}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Note|4| This is occasionally called a {{NoteTerm|Malthusian population<ins class="diffchange diffchange-inline">|OtherIndexEntry=population, Malthusian ...</ins>}}, but the term is ambiguous in view of its sociological connotations (see {{RefNumber|90|6|1}}).}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births (during wars for example) and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=rate of natutal increase, intrinsic ...|OtherIndexEntry3=increase, intrinsic rate of natural ...</ins>}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable <ins class="diffchange diffchange-inline">...</ins>}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=distribution, stable age ...</ins>}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=distribution, initial age ...</ins>}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth <ins class="diffchange diffchange-inline">...</ins>}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703<ins class="diffchange diffchange-inline">|OtherIndexEntry=momentum, demographic ...</ins>}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a {{NonRefTerm|cohort}} ({{RefNumber|11|6|2}}) to the beginning of their period of {{NonRefTerm|fertility}} ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births (during wars for example) and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary <ins class="diffchange diffchange-inline">...</ins>}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=stable population, quasi-...</ins>}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable <ins class="diffchange diffchange-inline">...|OtherIndexEntry2=stable population, semi-...</ins>}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic <ins class="diffchange diffchange-inline">...</ins>}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic <ins class="diffchange diffchange-inline">...</ins>}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate}} (or {{NoteTerm|stable birth rate}}) and the {{NoteTerm|intrinsic death rate}} (or {{NoteTerm|stable death rate}}).}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase<ins class="diffchange diffchange-inline">|OtherIndexEntry=rate of natural increase, true ...|OtherIndexEntry2=natural increase, true rate of ...|OtherIndexEntry3=increase, true rate of natural ...</ins>}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate<ins class="diffchange diffchange-inline">|OtherIndexEntry=birth rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic birth ...</ins>}} (or {{NoteTerm|stable birth rate<ins class="diffchange diffchange-inline">|OtherIndexEntry=birth rate, stable ...|OtherIndexEntry2=rate, stable birth ...</ins>}}) and the {{NoteTerm|intrinsic death rate<ins class="diffchange diffchange-inline">|OtherIndexEntry=death rate, intrinsic ...|OtherIndexEntry2=rate, intrinsic death ...</ins>}} (or {{NoteTerm|stable death rate<ins class="diffchange diffchange-inline">|OtherIndexEntry=death rate, stable ...|OtherIndexEntry2=rate, stable death ...</ins>}}).}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable<ins class="diffchange diffchange-inline">|IndexEntry=stable</ins>}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis<ins class="diffchange diffchange-inline">|IndexEntry=stable population analysis|OtherIndexEntry=population, stable ... analysis|OtherIndexEntry2=analysis, stable population ...</ins>}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{Note|6| {{NoteTerm|Stationary}}, adj. - {{NoteTerm|stationarity}}, n.}}</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{Note|6| {{NoteTerm|Stationary<ins class="diffchange diffchange-inline">|IndexEntry=stationary</ins>}}, adj. - {{NoteTerm|stationarity}}, n.}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==<center><font size=12>* * * </font></center>==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==<center><font size=12>* * * </font></center>==</div></td></tr>
</table>Joseph Larmarangehttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14222&oldid=prevJoseph Larmarange: /* 703 */ Missing NonRefTerm2013-08-12T14:42:07Z<p><span dir="auto"><span class="autocomment">703: </span> Missing NonRefTerm</span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
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<tr style='vertical-align: top;' lang='en'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 14:42, 12 August 2013</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Line 19:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a cohort ({{RefNumber|11|6|2}}) to the beginning of their period of fertility ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births (during wars for example) and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|11|703}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a <ins class="diffchange diffchange-inline">{{NonRefTerm|</ins>cohort<ins class="diffchange diffchange-inline">}} </ins>({{RefNumber|11|6|2}}) to the beginning of their period of <ins class="diffchange diffchange-inline">{{NonRefTerm|</ins>fertility<ins class="diffchange diffchange-inline">}} </ins>({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births (during wars for example) and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate}} (or {{NoteTerm|stable birth rate}}) and the {{NoteTerm|intrinsic death rate}} (or {{NoteTerm|stable death rate}}).}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate}} (or {{NoteTerm|stable birth rate}}) and the {{NoteTerm|intrinsic death rate}} (or {{NoteTerm|stable death rate}}).}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td></tr>
</table>Joseph Larmarangehttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14202&oldid=prevNicolas Brouard: /* 703 */ typo2013-08-06T16:25:34Z<p><span dir="auto"><span class="autocomment">703: </span> typo</span></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class='diff-marker' />
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<col class='diff-marker' />
<col class='diff-content' />
<tr style='vertical-align: top;' lang='en'>
<td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 16:25, 6 August 2013</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Line 19:</td>
<td colspan="2" class="diff-lineno">Line 19:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|<del class="diffchange diffchange-inline">13</del>|703}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a cohort ({{RefNumber|11|6|2}}) to the beginning of their period of fertility ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births (during wars for example) and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth}} of a set of age-specific fertility rates applied to a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|<ins class="diffchange diffchange-inline">11</ins>|703}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a cohort ({{RefNumber|11|6|2}}) to the beginning of their period of fertility ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births (during wars for example) and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate}} (or {{NoteTerm|stable birth rate}}) and the {{NoteTerm|intrinsic death rate}} (or {{NoteTerm|stable death rate}}).}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate}} (or {{NoteTerm|stable birth rate}}) and the {{NoteTerm|intrinsic death rate}} (or {{NoteTerm|stable death rate}}).}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td></tr>
</table>Nicolas Brouardhttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14199&oldid=prevNicolas Brouard: /* 701 */2013-08-06T16:21:51Z<p><span dir="auto"><span class="autocomment">701</span></span></p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 701 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 701 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The interaction of fertility, mortality and migration leads to a consideration of {{TextTerm|population growth|1|701|OtherIndexEntry=growth, population}}. A {{NewTextTerm|zero population growth|10|701|OtherIndexEntry=population, zero ... growth}} refers to a population of invariable size. It is convenient to regard {{TextTerm|population decline|2|701|OtherIndexEntry=decline, population}} as {{TextTerm|negative growth|3|701|OtherIndexEntry=growth, negative}}. A distinction may be drawn between a {{TextTerm|closed population|4|701|OtherIndexEntry=population, closed}} in which there is no migration either inwards or outwards and whose growth depends entirely on the difference between births and deaths, and an {{TextTerm|open population|5|701|OtherIndexEntry=population, open}} in which there may be migration. The growth of an open population consists of the {{TextTerm|balance of migration|6|701|OtherIndexEntry=migration, balance of}} or {{TextTerm|net migration|6|701|2|OtherIndexEntry=migration, net}} and {{TextTerm|natural increase|7|701|OtherIndexEntry=increase, natural}}, which is the {{TextTerm|excess of births over deaths|8|701|OtherIndexEntry=deaths, excess of births over}} or {{NewTextTerm|deficit of births over deaths|9|701|OtherIndexEntry=deaths, deficit of births over}} sometimes called the {{TextTerm|balance of births and deaths|8|701|2|OtherIndexEntry=births and deaths, balance of}}. Any change in one variable affects the overall growth and structure of a population; in this context {{NewTextTerm|growth effects|}} and {{NewTextTerm|structural effects|}} are determined.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The interaction of fertility, mortality and migration leads to a consideration of {{TextTerm|population growth|1|701|OtherIndexEntry=growth, population}}. A {{NewTextTerm|zero population growth|10|701|OtherIndexEntry=population, zero ... growth}} refers to a population of invariable size. It is convenient to regard {{TextTerm|population decline|2|701|OtherIndexEntry=decline, population}} as {{TextTerm|negative growth|3|701|OtherIndexEntry=growth, negative}}. A distinction may be drawn between a {{TextTerm|closed population|4|701|OtherIndexEntry=population, closed}} in which there is no migration either inwards or outwards and whose growth depends entirely on the difference between births and deaths, and an {{TextTerm|open population|5|701|OtherIndexEntry=population, open}} in which there may be migration. The growth of an open population consists of the {{TextTerm|balance of migration|6|701|OtherIndexEntry=migration, balance of}} or {{TextTerm|net migration|6|701|2|OtherIndexEntry=migration, net}} and {{TextTerm|natural increase|7|701|OtherIndexEntry=increase, natural}}, which is the {{TextTerm|excess of births over deaths|8|701|OtherIndexEntry=deaths, excess of births over}} or {{NewTextTerm|deficit of births over deaths|9|701|OtherIndexEntry=deaths, deficit of births over}} sometimes called the {{TextTerm|balance of births and deaths|8|701|2|OtherIndexEntry=births and deaths, balance of}}. Any change in one variable affects the overall growth and structure of a population; in this context {{NewTextTerm|growth effects|<ins class="diffchange diffchange-inline">11|701</ins>}} and {{NewTextTerm|structural effects|<ins class="diffchange diffchange-inline">12|701</ins>}} are determined.</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 702 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 702 ===</div></td></tr>
</table>Nicolas Brouardhttp://en-ii.demopaedia.org/w/index.php?title=70&diff=14183&oldid=prevNicolas Brouard: /* 703 */2013-08-06T12:59:19Z<p><span dir="auto"><span class="autocomment">703</span></span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 12:59, 6 August 2013</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Line 19:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=== 703 ===</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth}} of a set of age-specific fertility rates <del class="diffchange diffchange-inline">from </del>a <del class="diffchange diffchange-inline">real </del>non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|13|703}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a cohort ({{RefNumber|11|6|2}}) to the beginning of their period of fertility ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births (during wars for example) and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>It can be shown that when a {{NonRefTerm|closed population}} ({{RefNumber|70|1|4}}) is subjected to constant {{NonRefTerm|age-specific fertility}} and {{NonRefTerm|mortality rates}} ({{RefNumber|63|1|8}}; {{RefNumber|41|2|1}}) for a sufficiently long period of time, its annual rate of increase will tend to become constant. This constant rate of increase is called the {{TextTerm|intrinsic rate of natural increase|1|703|OtherIndexEntry=natural increase, intrinsic rate of}}, and a population which has reached this stage is called a {{TextTerm|stable population|2|703|OtherIndexEntry=population, stable}}. The proportion of persons in different age groups in such a population will be constant, i.e., the population will have a {{TextTerm|stable age distribution|3|703|OtherIndexEntry=age distribution, stable}}. This stable age distribution is independent of the {{TextTerm|initial age distribution|4|703|OtherIndexEntry=age distribution, initial}} and depends only on the fertility and mortality rates that are kept constant. Human populations never reach exact stability in practice, as fertility and mortality rates constantly change, but the computation of a stable population as a model and of its intrinsic rates may provide an index of the {{TextTerm|growth potential|5|703|OtherIndexEntry=potential, growth}} of a set of age-specific fertility rates <ins class="diffchange diffchange-inline">applied to </ins>a non stabilized age structure. Related to the growth potential, the moment of inertia of a population or {{NewTextTerm|demographic momentum|13|703}} should be mentioned: it refers to the dynamics hidden in the age structure due to a delayed growth response caused by the biological fact that from the time of birth of a cohort ({{RefNumber|11|6|2}}) to the beginning of their period of fertility ({{RefNumber|62|0|1}}) a certain amount of time passes. A population may for this reason still grow, even though the birth rate drops long ago. The reverse case is also possible. The momentum is particularly altered in case of discontinuity in the evolution of births (during wars for example) and abrupt reversals of trends. A stable population in which the intrinsic rate of natural increase is zero is called a {{TextTerm|stationary population|6|703|OtherIndexEntry=population, stationary}}. In such a population the numbers in a given age group are equal to the integral of the {{NonRefTerm|survivorship function}} ({{RefNumber|43|1|3}}) of the life tables taken between the upper and lower age limits of the group, multiplied by a factor of proportionality common to all age groups. A {{TextTerm|quasi-stable population|7|703|OtherIndexEntry=population, quasi-stable}} is a formerly stable population with constant fertility and gradually changing mortality; characteristics of this type of population are similar to those of {{NewTextTerm|semi-stable populations|8|703|IndexEntry=semi-stable population|OtherIndexEntry=population, semi-stable}} which are closed population with a constant age structure. A {{TextTerm|logistic population|9|703|OtherIndexEntry=population, logistic}} is a population growing in accordance with the {{TextTerm|logistic law|10|703|OtherIndexEntry=law, logistic}} of growth, i.e., a population in which the growth rate decreases as a linear function of the population already alive and which will tend asymptotically to an upper limit.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate}} (or {{NoteTerm|stable birth rate}}) and the {{NoteTerm|intrinsic death rate}} (or {{NoteTerm|stable death rate}}).}}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|1| The intrinsic rate, also called by its inventor Lotka, the {{NoteTerm|true rate of natural increase}}, is equal to the difference between the {{NoteTerm|intrinsic birth rate}} (or {{NoteTerm|stable birth rate}}) and the {{NoteTerm|intrinsic death rate}} (or {{NoteTerm|stable death rate}}).}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>{{Note|2| {{NoteTerm|Stable}}, adj. - {{NoteTerm|stability}}, n. - {{NoteTerm|stabilize}}, v.<br />{{NoteTerm|Stable population analysis}} uses the properties of stable population models to estimate various characteristics of real populations. }}</div></td></tr>
</table>Nicolas Brouard