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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">uzria</journal-id><journal-title-group><journal-title xml:lang="ru">Ученые записки Российской академии предпринимательства</journal-title><trans-title-group xml:lang="en"><trans-title>Scientific notes of the Russian academy of entrepreneurship</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-6258</issn><publisher><publisher-name>JSC “Publishing Agency “Science and Education”</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">uzria-620</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>СОЦИОКУЛЬТУРНЫЕ АСПЕКТЫ ПРЕДПРИНИМАТЕЛЬСКОЙ ДЕЯТЕЛЬНОСТИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>SOCIOCULTURAL ASPECTS OF ENTREPRENEURIAL ACTIVITY</subject></subj-group></article-categories><title-group><article-title>Современные подходы к прогнозированию рождаемости</article-title><trans-title-group xml:lang="en"><trans-title>Modern approaches to forecasting fertility</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дорохина</surname><given-names>Е. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Dorokhina</surname><given-names>E. Yu.</given-names></name></name-alternatives><email xlink:type="simple">elenadorokhina@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Маркелова</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Markelova</surname><given-names>N. A.</given-names></name></name-alternatives><email xlink:type="simple">semina_nellya@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Российский экономический университет им. Г.В. Плеханова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Plekhanov Russian University of Economics</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>13</day><month>08</month><year>2021</year></pub-date><volume>17</volume><issue>2</issue><fpage>149</fpage><lpage>161</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Дорохина Е.Ю., Маркелова Н.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Дорохина Е.Ю., Маркелова Н.А.</copyright-holder><copyright-holder xml:lang="en">Dorokhina E.Y., Markelova N.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.scinotes.ru/jour/article/view/620">https://www.scinotes.ru/jour/article/view/620</self-uri><abstract><p>В работе представлен аналитический обзор разработанных в последние десятилетия и активно используемых на практике подходов к прогнозированию рождаемости. Подходы разделены на четыре класса: экстраполяционные, интерполяционные, основанные на теории репродуктивного поведения и мультикаузальные. Среди экстраполяционных подходов особое внимание уделено моделям Ли, Хюндмана и Улла, представляющим собой разновидности моделей временных рядов. Анализируется использование таких функций повозрастного распределения рождаемости как функции Коала-Трусселя, Хедвигера, бета- и гамма-распределения, двойная экспоненциальная функция Роджерса, полиномиальные модели или сплайн-функции (например, квадратическая сплайн-функция Шмертманна), кривая Пирсона первого типа. Эти модели отличаются числом параметров и их демографической интерпретируемостью.</p></abstract><trans-abstract xml:lang="en"><p>The article presents an analytical review of approaches to birth forecasting developed in recent decades and actively used in practice. The approaches are divided into four classes: extrapolation, interpolation, based on the theory of reproductive behavior and multicausal. Among the extrapolation approaches, special attention is paid to Lee, Hyndman and Ullah models, which are representing a variety of time series models. We analyze the use of such functions of age-specific fertility distribution as the functions of Coale-Trussel, Hadwiger, beta- and gamma-distributions, double exponential Rogers function, polynomial models or spline functions (for example, the square spline function of Schmertmann), Pearson's curve of the first type. These models differ in the number of parameters and their demographic interpretability.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>прогнозирование показателей рождаемости</kwd><kwd>теории репродуктивного поведения</kwd><kwd>экстраполяция и интерполяция показателей рождаемости</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Prediction of fertility indicators</kwd><kwd>theory of reproductive behavior</kwd><kwd>extrapolation and interpolation of fertility indicators</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Дорохина Е.Ю., Маркелова Н.А. Современные подходы к прогнозированию воспроизводства населения// В сборнике: Economics, Law, Society: Resume of 2016 The International Scientific and Practical Web-Congress of Economists and Jurists. ISAE «Consilium». 2016. С. 247-251</mixed-citation><mixed-citation xml:lang="en">Дорохина Е.Ю., Маркелова Н.А. Современные подходы к прогнозированию воспроизводства населения// В сборнике: Economics, Law, Society: Resume of 2016 The International Scientific and Practical Web-Congress of Economists and Jurists. ISAE «Consilium». 2016. С. 247-251</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Saboia, Joao Luiz M.: Autoregressive Integrated Moving Average (ARIMA) Models for Birth Forecasting. In: Journal ofthe American Statistical Association 72 (1977), Nr. 358, PP. 264-270.</mixed-citation><mixed-citation xml:lang="en">Saboia, Joao Luiz M.: Autoregressive Integrated Moving Average (ARIMA) Models for Birth Forecasting. In: Journal ofthe American Statistical Association 72 (1977), Nr. 358, PP. 264-270.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Lee, Ronald D.: Modeling and forecasting the time series of US fertility: Age distribution, range, and ultimate level. In: International Journal of Forecasting 9 (1993), PP. 187-202.</mixed-citation><mixed-citation xml:lang="en">Lee, Ronald D.: Modeling and forecasting the time series of US fertility: Age distribution, range, and ultimate level. In: International Journal of Forecasting 9 (1993), PP. 187-202.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Hyndman, Rob J.; Ullah, Md S.: Robust forecasting of mortality and fertility rates: A functional data approach. In: Computational Statistics and Data Analysis 51 (2007), Nr. 10, PP. 4942-4956.</mixed-citation><mixed-citation xml:lang="en">Hyndman, Rob J.; Ullah, Md S.: Robust forecasting of mortality and fertility rates: A functional data approach. In: Computational Statistics and Data Analysis 51 (2007), Nr. 10, PP. 4942-4956.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Hoem, Jan M.; Madsen, Dan; Nielsen, Jorgen L.; Ohlsen, Else-Marie; Hansen, Hans O.; Rennermalm, Bo: Experiments in Modelling Recent Danish Fertility Curves. In: Demography 18 (1981), Nr. 2, PP. 231-244.</mixed-citation><mixed-citation xml:lang="en">Hoem, Jan M.; Madsen, Dan; Nielsen, Jorgen L.; Ohlsen, Else-Marie; Hansen, Hans O.; Rennermalm, Bo: Experiments in Modelling Recent Danish Fertility Curves. In: Demography 18 (1981), Nr. 2, PP. 231-244.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Peristera, Paraskevi; Kostaki, Anastasia: Modeling fertility in modern populations. In: Demographic Research 16 (2007), PP. 141-194.</mixed-citation><mixed-citation xml:lang="en">Peristera, Paraskevi; Kostaki, Anastasia: Modeling fertility in modern populations. In: Demographic Research 16 (2007), PP. 141-194.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Chandola, T.; Coleman, D. A.; Hiorns, R. W.: Recent European fertility patterns: Fitting curves to «distorted»distributions. In: Population Studies 53 (1999), Nr. 3, PP. 317-329.</mixed-citation><mixed-citation xml:lang="en">Chandola, T.; Coleman, D. A.; Hiorns, R. W.: Recent European fertility patterns: Fitting curves to «distorted»distributions. In: Population Studies 53 (1999), Nr. 3, PP. 317-329.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Easterlin, Richard A.: Relative economic status and the American fertility swing. In: Sheldon, Eleanor B. (Hrsg.): Family Economic Behavior: Problems and Prospects. Lippincott, 1973. PP. 170-227.</mixed-citation><mixed-citation xml:lang="en">Easterlin, Richard A.: Relative economic status and the American fertility swing. In: Sheldon, Eleanor B. (Hrsg.): Family Economic Behavior: Problems and Prospects. Lippincott, 1973. PP. 170-227.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Lee, Ronald D.: Demographic Forecasting and the Easterlin Hypothesis. In: Population and Development Review 2 (1976), Nr. 3/4, PP. 459-468.</mixed-citation><mixed-citation xml:lang="en">Lee, Ronald D.: Demographic Forecasting and the Easterlin Hypothesis. In: Population and Development Review 2 (1976), Nr. 3/4, PP. 459-468.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Ryder, Norman B.: The Future ofAmerican Fertility. In: Social Problems 26 (1979), Nr. 3, PP. 359-370.</mixed-citation><mixed-citation xml:lang="en">Ryder, Norman B.: The Future ofAmerican Fertility. In: Social Problems 26 (1979), Nr. 3, PP. 359-370.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Alders, Maarten; de Beer, Joop: Assumptions on Fertility in Stochastic Population Forecasts. In: International Statistical Review 72 (2004), Nr. 1, PP. 65-79.</mixed-citation><mixed-citation xml:lang="en">Alders, Maarten; de Beer, Joop: Assumptions on Fertility in Stochastic Population Forecasts. In: International Statistical Review 72 (2004), Nr. 1, PP. 65-79.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Alders, Maarten; Keilman, Nico; Cruijsen, Harri: Assumptions for long-term stochastic population forecasts in 18 European countries. In: European Journal of Population and Development Review 23 (2007), Nr. 1, S. 33-69.</mixed-citation><mixed-citation xml:lang="en">Alders, Maarten; Keilman, Nico; Cruijsen, Harri: Assumptions for long-term stochastic population forecasts in 18 European countries. In: European Journal of Population and Development Review 23 (2007), Nr. 1, S. 33-69.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
