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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">85</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:60EFF674-5CBD-58AF-A00E-08B90DD582C9</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Population and Economics</journal-title>
        <abbrev-journal-title xml:lang="en">POPECON</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="epub">2658-3798</issn>
      <publisher>
        <publisher-name>Population and Economics</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3897/popecon.10.e107362</article-id>
      <article-id pub-id-type="publisher-id">107362</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>(A) General Economics and Teaching</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Fertility Patterns and Differential in India</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Basumatary</surname>
            <given-names>Konita</given-names>
          </name>
          <email xlink:type="simple">konitabasumatary@gmail.com</email>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Brahma</surname>
            <given-names>Jasmine</given-names>
          </name>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">Bodoland University, Kokrajhar, Assam, India, 783370</addr-line>
        <institution>Bodoland University</institution>
        <addr-line content-type="city">Kokrajhar</addr-line>
        <country>India</country>
        <uri content-type="ror">https://ror.org/05bb03e97</uri>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Konita Basumatary (<email xlink:type="simple">konitabasumatary@gmail.com</email>).</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: </p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>31</day>
        <month>03</month>
        <year>2026</year>
      </pub-date>
      <volume>10</volume>
      <issue>2</issue>
      <fpage>140</fpage>
      <lpage>156</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/41538263-4951-5C91-84E7-1D853CF3ACD7">41538263-4951-5C91-84E7-1D853CF3ACD7</uri>
      <history>
        <date date-type="received">
          <day>01</day>
          <month>06</month>
          <year>2023</year>
        </date>
        <date date-type="accepted">
          <day>02</day>
          <month>09</month>
          <year>2024</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Konita Basumatary, Jasmine Brahma</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>Abstract</label>
        <p>Fertility rate plays an important role in the demographic context of India, showing considerable variation among women of reproductive age (15–49 years). The study aims to analyse fertility patterns and differentials in India and to identify the factors influencing them.</p>
        <p>This paper uses data from five rounds of the National Family Health Survey (<abbrev xlink:title="National Family Health Survey">NFHS</abbrev>), covering 25 states of India. Missing data between survey rounds and for <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-1 were estimated using interpolation. To examine fertility patterns and differentials, age-specific fertility rate (<abbrev xlink:title="Age-Specific Fertility Rate">ASFR</abbrev>) and total fertility rate (<abbrev xlink:title="Total Fertility Rate">TFR</abbrev>) were used. In addition, a panel data regression analysis was conducted to determine the influence of various demographic and socioeconomic factors on fertility, using EVIEWS 12 software.</p>
        <p>Both <abbrev xlink:title="Age-Specific Fertility Rate">ASFR</abbrev> and <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> follow a consistent pattern, with an initial peak followed by a decline over time. The panel data regression analysis revealed that residence, education, religion, birth order, unmet need for family planning, and sex preference are the most significant variables explaining variations in fertility levels.</p>
        <p>Empirical evidence of fertility variations associated with specific factors raises concerns about population growth and women’s reproductive health in India. The findings suggest that targeted policies and programs should be developed with a focus on these determinants in order to reduce fertility disparities and promote reproductive well-being.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>Demographic trends</kwd>
        <kwd>Fertility</kwd>
        <kwd>General welfare and well-being</kwd>
        <kwd>Panel data models</kwd>
        <kwd>Public policy</kwd>
        <kwd>Rural</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>JEL codes</meta-name>
          <meta-value>J11, J13, I31, C23, J18, O18</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="Introduction" id="sec1">
      <title>Introduction</title>
      <p>In today’s context, fertility rates play a crucial role in shaping population growth and women’s reproductive health. The fertility rate refers to the total number of children a woman would bear by the end of her reproductive period, based on age-specific fertility rates for a given year (The World Bank … 2024). These rates vary both between and within regions, communities, and countries due to a range of influencing factors.</p>
      <p>This study examines 25 Indian states and utilizes statistical data from all five waves of the National Family Health Survey (<abbrev xlink:title="National Family Health Survey">NFHS</abbrev>), conducted between 1992–1993 and 2019–2021. For the first time, the influence of three key factors on fertility across these states has been estimated. Analysing differences across India is essential due to the substantial demographic, social, and economic diversity among states.</p>
      <p>According to the Sample Registration System (<abbrev xlink:title="Sample Registration System">SRS</abbrev>), fertility indicators such as the total fertility rate (<abbrev xlink:title="Total Fertility Rate">TFR</abbrev>) have shown a marked decline: from 5.2 to 4.5 between 1971 and 1981, and from 3.6 to 2.0 between 1991 and 2020 (<abbrev xlink:title="Sample Registration System">SRS</abbrev> 2013; <abbrev xlink:title="Sample Registration System">SRS</abbrev> 2020). In rural areas, the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> decreased from 5.4 to 2.2 between 1971 and 2019, while in urban areas it fell from 4.1 to 1.6. Between 1990–1992 and 2019–2021, the national <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> reached two children per woman – the replacement level of fertility (Our World in Data, 2024), according to <abbrev xlink:title="National Family Health Survey">NFHS</abbrev> data (IIPS 1995; IIPS 2022).</p>
      <p>However, in states such as Bihar, Meghalaya, Uttar Pradesh, and Manipur, the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> remains above the replacement level (over 2.1), whereas in states such as Assam, Madhya Pradesh, and Rajasthan, it has already fallen below this threshold. Additionally, projections from <abbrev xlink:title="Sample Registration System">SRS</abbrev> and IIPS suggest that India’s <abbrev xlink:title="Total Fertility Rate">TFR</abbrev>, which declined from 3.1 in 2001 to 2.0 in 2020, is expected to decrease further to 1.7 by 2041.</p>
      <p>This study focuses on five rounds of the <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>, including the most recent <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-5 (2019–2021). Previous research has not conducted a cross-sectional analysis comparing different survey periods across states. In contrast, this study provides a comprehensive and precise assessment of the factors influencing fertility across 25 states.</p>
      <p>The objective of this paper is to offer a detailed analysis of fertility differentials and to statistically estimate three key factors contributing to fertility differences across India, using data from all five rounds of the <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>.</p>
    </sec>
    <sec sec-type="Contemporary Theories on Fertility Transition" id="sec2">
      <title>Contemporary Theories on Fertility Transition</title>
      <p>Few general theories have been proposed to explain fertility transition.</p>
      <p>In the last 25 years of the 20th century, industrialized countries experienced a new phase of fertility transition, in which birth rates or fertility rates fell below replacement levels, accompanied by a decline in death rates or mortality rates. This phase is known as the Second Demographic Transition Model (<xref ref-type="bibr" rid="B29">Lesthaeghe 1991</xref>; Van de Kaa 1987). The model is characterized by changes in variables such as marriage patterns, fertility, contraception, and lifestyle in European countries.</p>
      <p>Changes in marriage patterns include the postponement of marriage, an increase in the age at first marriage, a rise in non-marital cohabitation, higher divorce rates, and a growing number of couples having only one child. In terms of fertility, the age at which women have their first child has increased, and the age group with the highest fertility has shifted upward. Greater access to contraception and birth control methods has enabled couples to plan the number of children they have. Finally, changes in lifestyle have been linked to declines in mortality rates.</p>
      <p>R. Easterlin developed a model explaining the association between fertility levels and relative cohort size. This relationship is influenced by fertility rates and changes in relative income (such as wages and unemployment). The theory suggests that fertility follows a cyclical pattern driven by both sociological and economic factors, where large birth cohorts tend to produce smaller subsequent cohorts. According to this hypothesis, a small cohort (within a 20-year period) tends to experience higher fertility, better job market prospects, and a higher standard of living. Conversely, a large cohort size, after 20 years, limits intended fertility, delays marriage and childbearing, and ultimately results in lower fertility (<xref ref-type="bibr" rid="B20">Doliger 2004</xref>).</p>
      <p>Caldwell’s theory of intergenerational wealth flows (<xref ref-type="bibr" rid="B13">Caldwell 1976</xref>) highlights the fertility transition from pre-industrial to industrial and post-industrial societies, with a focus on the economic role of children. In less-developed economies, particularly agricultural societies, children are considered economic assets, contributing labor to the family. In contrast, in highly developed countries, the rising costs of raising and educating children make them financial liabilities. This theory also emphasizes how social and cultural norms in traditional and agrarian societies often encourage larger families, whereas modern societies tend to favor smaller families.</p>
      <p>As societies transition from pre-industrial to post-industrial stages, fertility rates tend to decline. This shift is particularly evident as education becomes more accessible, especially for women. Educated women often delay marriage and motherhood in favor of career development and personal growth. Fertility rates decrease as women gain greater economic and personal autonomy, along with increased access to family planning. According to this theory, both families and societies worldwide frequently view fertility as a sign of wealth and prosperity. Moreover, the theory provides a valuable framework for formulating policies that promote social justice, sustainable development, and gender equality (Kaplan &amp; Bock 2001).</p>
      <p>The quantity-quality trade-off was explained by Gary Becker in his “Becker model.” According to this approach, children are viewed as commodities that provide utility through both their quantity and quality. The “quality” of children refers to the investments and resources parents allocate to them, such as education and upbringing. Wealthier parents can afford to invest more in their children, as expenditures typically increase with income. However, as income rises, the demand for additional children tends to decrease. In the United States, the 20th century witnessed a rise in child quality, driven by growing demand for educated workers. As a result, many parents chose to have fewer children, prioritizing higher quality of upbringing and education over the number of children (<xref ref-type="bibr" rid="B19">Doepke 2015</xref>).</p>
    </sec>
    <sec sec-type="The Theoretical Framework of Fertility" id="sec3">
      <title>The Theoretical Framework of Fertility</title>
      <p>Before the onset of industrialization, women in India had, on average, five to six children over their lifetime. Fertility rates remained high into the early 19th century but began to change as fertility behavior varied across states and regions. By the second half of the 20th century, fertility started to decline rapidly. By 2019–2021, fertility rates had dropped to an average of two children per woman (IIPS 2022), well below the replacement level, marking a significant fertility transition during this period.</p>
      <p>This decline in fertility rates is linked to several factors, including a rise in the age at first marriage, the prevalence of non-marital cohabitation, higher divorce rates, an increase in the number of couples having only one child, a shift in the age at first birth, and a change in the peak fertility age group from 20–24 years to 25–29 years. Additionally, widespread access to contraception and birth control, along with lifestyle changes, has played a major role in this fertility transition (<xref ref-type="bibr" rid="B29">Lesthaeghe 1991</xref>; Van de Kaa 2002).</p>
      <p>In pre-industrial India, children were primarily regarded as economic assets, and social and cultural norms favored larger families. However, after industrialization, the cost of raising and educating children increased, turning them into financial liabilities for parents, who consequently preferred to have fewer children. Moreover, as education became more accessible for women, they gained greater autonomy in decisions regarding the postponement of marriage, utilization of family planning, and prioritization of their careers and personal development (<xref ref-type="bibr" rid="B13">Caldwell 1976</xref>; Kaplan &amp; Bock 2001).</p>
    </sec>
    <sec sec-type="Data Sources &amp; Methodology" id="sec4">
      <title>Data Sources &amp; Methodology</title>
      <p>The analysis of fertility patterns and differentials, along with an examination of factors such as caste, wealth index, and mortality rates influencing these patterns, was conducted using data from all five rounds of the National Family Health Survey (<abbrev xlink:title="National Family Health Survey">NFHS</abbrev>) in India: <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-1 (1992–1993), <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-2 (1998–1999), <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-3 (2005–2006), <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-4 (2015–2016), and <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-5 (2019–2021). Missing data from intervening years were estimated through interpolation.</p>
      <p>The dependent variable in this analysis is the total fertility rate (<abbrev xlink:title="Total Fertility Rate">TFR</abbrev>), representing the number of children a woman would have by the end of her reproductive period if she were to bear children according to current age-specific birth rates. The explanatory variables include residence, education, religion, contraceptive use, birth order, age at first marriage, birth interval, unmet need for family planning, and sex preference.</p>
      <sec sec-type="Unit Root Test" id="sec5">
        <title>Unit Root Test</title>
        <p>Before conducting the empirical analysis, a panel unit root test was performed to assess the stationarity of each series. The Augmented Dickey-Fuller (<abbrev xlink:title="Augmented Dickey – Fuller">ADF</abbrev>) test evaluates the null hypothesis that a series is non-stationary against the alternative hypothesis that it is stationary, both at levels and first differences, with a constant term but without trend specification.</p>
      </sec>
      <sec sec-type="Estimation of Model" id="sec6">
        <title>Estimation of Model</title>
        <p>To examine the influence of various factors on fertility, a panel data regression model was employed using all five rounds of <abbrev xlink:title="National Family Health Survey">NFHS</abbrev> data for 25 states in India, analyzed with EVIEWS 12 software. Each factor, except for fertility rate, contraceptive use, age at first marriage, and birth interval, is categorized as follows:</p>
        <list list-type="bullet">
          <list-item>
            <p>Residence: Rural and Urban.
</p>
          </list-item>
          <list-item>
            <p>Education: No education, Primary level, High School &amp; above.
</p>
          </list-item>
          <list-item>
            <p>Religion: Hindu and Muslim.
</p>
          </list-item>
          <list-item>
            <p>Birth Order: First birth, Second birth, Third birth, Fourth or higher.
</p>
          </list-item>
          <list-item>
            <p>Unmet Need for Family Planning: Unmet need for spacing and Unmet need for limiting.
</p>
          </list-item>
          <list-item>
            <p>Sex Preference: Prefer more sons than daughters, Prefer more daughters than sons, Want at least one son, Want at least one daughter.
</p>
          </list-item>
        </list>
        <p>Panel data analysis is a widely used statistical method for analyzing data collected over multiple periods for the same individuals or entities. Key models for panel data include Pooled Ordinary Least Squares (<abbrev xlink:title="Ordinary Least Square">OLS</abbrev>), Fixed-Effect (<abbrev xlink:title="Fixed Effect">FE</abbrev>) models, Random Effect (<abbrev xlink:title="Random Effect">RE</abbrev>) models, and Feasible Generalized Least Squares (<abbrev xlink:title="Feasible Generalized Least Square">FGLS</abbrev>) models (<xref ref-type="bibr" rid="B44">Wooldridge 2016</xref>). The three primary panel analyses are the independent Pooled <abbrev xlink:title="Ordinary Least Square">OLS</abbrev> regression model, the Fixed-Effect model, and the Random Effect model (Basumatary &amp; Devi 2022).</p>
        <p>To determine the most appropriate model for the analysis, three tests – the Lagrange Multiplier test, Chow test, and Hausman test – were conducted using EVIEWS 12. First, the Pooled <abbrev xlink:title="Ordinary Least Square">OLS</abbrev> regression was performed, followed by the Lagrange Multiplier (<abbrev xlink:title="Lagrange Multiplier">LM</abbrev>) test, specifically the Breusch-Pagan <abbrev xlink:title="Lagrange Multiplier">LM</abbrev> test, to assess the suitability of the Pooled <abbrev xlink:title="Ordinary Least Square">OLS</abbrev> versus the Random Effect model. Here, the null hypothesis states the absence of a random effect, while the alternative hypothesis suggests its presence. If the null hypothesis is rejected, a Fixed-Effect model is run, followed by the Chow test (Likelihood Ratio Test) to compare the Pooled <abbrev xlink:title="Ordinary Least Square">OLS</abbrev> and Fixed-Effect models.</p>
        <p>If the Chow test also rejects the null hypothesis, a Random Effect model is then estimated, followed by the Hausman test to compare the Random Effect and Fixed-Effect models. In this case, the null hypothesis posits the presence of a random effect, while the alternative hypothesis indicates the absence of a fixed effect. If the Hausman test accepts the null hypothesis, the Random Effect model is deemed suitable; otherwise, the Fixed-Effect model is chosen.</p>
        <p>Additionally, tests for autocorrelation and multicollinearity were performed to provide statistical support for the panel data regression analysis.</p>
        <p>The panel data regression model is specified as:</p>
        <p><italic>y<sub>it</sub></italic> = α<sub><italic>i</italic></sub> + β<italic><sub>i</sub>X<sub>it</sub></italic> + ε<italic><sub>it</sub></italic>,</p>
        <p>where <italic>i</italic> = 1, ..., N; <italic>t</italic> = 1, ..., T; y<sub>it</sub> – the dependent variable; <italic>X</italic> – the independent variable(s); β<sub>i</sub> – the coefficients of the independent variables; α<sub>i</sub> – the state-specific random effect (time-invariant); ε<sub>it</sub> – the idiosyncratic error.</p>
      </sec>
    </sec>
    <sec sec-type="Results" id="sec7">
      <title>Results</title>
      <sec sec-type="The Fertility Pattern and Differential in India" id="sec8">
        <title>The Fertility Pattern and Differential in India</title>
        <p>The age-specific fertility rates (ASFRs) for different regions in India are illustrated in Figure <xref ref-type="fig" rid="F1">1</xref>. It is evident that ASFRs are higher in rural areas compared to urban areas across various age groups, although they have been continuously declining in both settings over the years. The childbearing period for women, typically ranging from ages 15 to 49, reveals distinct fertility rates across different age groups.</p>
        <fig id="F1">
          <object-id content-type="arpha">649F6FDB-7E2B-5298-A4D8-9B6B7B251E06</object-id>
          <label>Figure 1.</label>
          <caption>
            <p>Age-specific fertility rate in India from the 15–19 to 45–49 age groups. <italic>Source</italic>: National Family Health Survey-5, 2019-2021.</p>
          </caption>
          <graphic xlink:href="populationandeconomics-10-e107362-g001.jpg" id="oo_1574674.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1574674</uri>
          </graphic>
        </fig>
        <p>The <abbrev xlink:title="Age-Specific Fertility Rate">ASFR</abbrev> exhibits a notable pattern: it starts very low in the youngest age group (15–19), peaks in the 20–24 age group, and then gradually declines until reaching near zero in the 45–49 age group. Moreover, the <abbrev xlink:title="Age-Specific Fertility Rate">ASFR</abbrev> for the rural population consistently shows a higher peak than that of the urban population. Slight variations in fertility patterns can be attributed to factors such as age at first marriage, levels of contraceptive prevalence, desired family size, women’s societal status, and the extent of women’s participation in the workforce, among others.</p>
        <p>Typically, the age pattern of fertility follows a bell-shaped curve; however, the exact shape of this curve varies between populations due to influences such as the age of women at marriage, levels of physiological sterility, marriage rates, incidences of widowhood and separation, customs regarding lactation and postpartum abstinence, and contraceptive use (<xref ref-type="bibr" rid="B7">Balasubramanian 1980</xref>).</p>
        <p>The <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> (Total Fertility Rate) for all of India has shown a significant decline, decreasing from 3.39 children per woman in 1992–1993 to 2.85 in 1996–1998, 2.68 in 2005–2006, 2.18 in 2015–2016, and finally to 1.99 in 2019–2021, as illustrated in Figure <xref ref-type="fig" rid="F2">2</xref>. This decline is evident in both rural and urban areas. In 1992–1993, the fertility rate was 2.70 in urban areas and 3.67 in rural areas. By 1996–1998, these rates had decreased to 2.27 in urban areas and 3.07 in rural areas. By 2019–2021, the rates further declined to 1.63 in urban areas and 2.14 in rural areas, representing reductions of 39.6% in urban areas and 41.7% in rural areas.</p>
        <fig id="F2">
          <object-id content-type="arpha">6F108C84-0936-5745-A97A-1B7B3FD792B2</object-id>
          <label>Figure 2.</label>
          <caption>
            <p>Pattern of the Total Fertility Rate (<abbrev xlink:title="Total Fertility Rate">TFR</abbrev>) in India. <italic>Source</italic>: <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>, 1992–1993 to 2019–2021.</p>
          </caption>
          <graphic xlink:href="populationandeconomics-10-e107362-g002.jpg" id="oo_1574675.jpg">
            <uri content-type="original_file">https://binary.pensoft.net/fig/1574675</uri>
          </graphic>
        </fig>
        <p>On average, Indian women gave birth to two children (1.99) in 2019–2021, down from three children (2.85) in 1996–1998, indicating a decline of approximately 41.3%. This trend reflects a consistent pattern in the Total Fertility Rate (<abbrev xlink:title="Total Fertility Rate">TFR</abbrev>) from <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-1 to <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-5. Initially, the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> across India was slightly higher, followed by a steady decline. Similarly, both rural and urban areas experienced a peak in <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> that subsequently decreased. Notably, the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> for the rural population remains higher compared to that of the urban population.</p>
      </sec>
      <sec sec-type="Panel Unit Root Test" id="sec9">
        <title>Panel Unit Root Test</title>
        <p>The data series at levels and first differences were tested for stationarity using Augmented Dickey – Fuller (<abbrev xlink:title="Augmented Dickey – Fuller">ADF</abbrev>) tests. In this analysis, the data series for each state were evaluated both at levels and at first differences for stationarity through the individual unit root <abbrev xlink:title="Augmented Dickey – Fuller">ADF</abbrev> Fisher test. According to the results presented in Table <xref ref-type="table" rid="T3">A1</xref> (Appendix), the tests indicate that all individual series, except for total fertility rate, no education, primary education, high school or above education, any method of contraception, unmet need for spacing, preference for more sons than daughters, preference for more daughters than sons, and desire for at least one daughter, accept the null hypothesis at the level (p &gt; 0.05), indicating that they are non-stationary. However, these series appear to be stationary at the first difference.</p>
        <table-wrap id="T1" position="float" orientation="portrait">
          <label>Table 1.</label>
          <caption>
            <p>Results of estimated Random effect model</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="6">Dependent Variable: <abbrev xlink:title="Total Fertility Rate">TFR</abbrev></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="6">Method: Panel Least Squares</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="6">Cross-sections included: 25</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="6">Total panel (balanced) observations: 100</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="2">
                  <bold>Variable</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Coefficient</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Standard Error</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>t-statistic</bold>
                </td>
                <td rowspan="1" colspan="1"><bold>Prob</bold>.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="2">C</td>
                <td rowspan="1" colspan="1">-0.122062</td>
                <td rowspan="1" colspan="1">0.197071</td>
                <td rowspan="1" colspan="1">-0.619381</td>
                <td rowspan="1" colspan="1">0.5372</td>
              </tr>
              <tr>
                <td rowspan="2" colspan="1">Residence</td>
                <td rowspan="1" colspan="1">Rural</td>
                <td rowspan="1" colspan="1">0.153751</td>
                <td rowspan="1" colspan="1">0.079744</td>
                <td rowspan="1" colspan="1">1.928041</td>
                <td rowspan="1" colspan="1">0.0569***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Urban</td>
                <td rowspan="1" colspan="1">-0.162595</td>
                <td rowspan="1" colspan="1">0.109472</td>
                <td rowspan="1" colspan="1">-1.485265</td>
                <td rowspan="1" colspan="1">0.1409</td>
              </tr>
              <tr>
                <td rowspan="3" colspan="1">Education</td>
                <td rowspan="1" colspan="1">No education (illiterate)</td>
                <td rowspan="1" colspan="1">0.401354</td>
                <td rowspan="1" colspan="1">0.064909</td>
                <td rowspan="1" colspan="1">6.183355</td>
                <td rowspan="1" colspan="1">0.0000*</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Primary education</td>
                <td rowspan="1" colspan="1">0.244216</td>
                <td rowspan="1" colspan="1">0.077679</td>
                <td rowspan="1" colspan="1">3.143922</td>
                <td rowspan="1" colspan="1">0.0022*</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">High school or above education</td>
                <td rowspan="1" colspan="1">0. 354777</td>
                <td rowspan="1" colspan="1">0. 103669</td>
                <td rowspan="1" colspan="1">3.422202</td>
                <td rowspan="1" colspan="1">0.0009*</td>
              </tr>
              <tr>
                <td rowspan="2" colspan="1">Religion</td>
                <td rowspan="1" colspan="1">Hindu</td>
                <td rowspan="1" colspan="1">0.578533</td>
                <td rowspan="1" colspan="1">0.076337</td>
                <td rowspan="1" colspan="1">7.578641</td>
                <td rowspan="1" colspan="1">0.0076*</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Muslim</td>
                <td rowspan="1" colspan="1">0.125636</td>
                <td rowspan="1" colspan="1">0.039131</td>
                <td rowspan="1" colspan="1">3.210657</td>
                <td rowspan="1" colspan="1">0.6965</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="2">R<sup>2</sup></td>
                <td rowspan="1" colspan="4">0.831339</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="2">Durbin – Watson stat.</td>
                <td rowspan="1" colspan="4">1.474463</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Notes: * 1% level of significance, ** 5% level of significance, *** 10% level of significance. <italic>Source</italic>: authors’ estimations based on <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>, 1992–1993 to 2019–2021</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <table-wrap id="T2" position="float" orientation="portrait">
          <label>Table 2.</label>
          <caption>
            <p>Results of estimated fixed effect model</p>
          </caption>
          <table>
            <tbody>
              <tr>
                <td rowspan="1" colspan="6">Dependent Variable: <abbrev xlink:title="Total Fertility Rate">TFR</abbrev></td>
              </tr>
              <tr>
                <td rowspan="1" colspan="6">Method: Panel Least Squares</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="6">Cross-sections included: 25</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="6">Total panel (balanced) observations: 100</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="2">
                  <bold>Variables</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Coefficient</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>Standard Error</bold>
                </td>
                <td rowspan="1" colspan="1">
                  <bold>t-statistic</bold>
                </td>
                <td rowspan="1" colspan="1"><bold>Prob</bold>.</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="2">C</td>
                <td rowspan="1" colspan="1">1.901719</td>
                <td rowspan="1" colspan="1">0.810144</td>
                <td rowspan="1" colspan="1">2.347385</td>
                <td rowspan="1" colspan="1">0.0221</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Contraceptive use</td>
                <td rowspan="1" colspan="1">Any method of contraception</td>
                <td rowspan="1" colspan="1">0.009345</td>
                <td rowspan="1" colspan="1">0.006636</td>
                <td rowspan="1" colspan="1">1.408371</td>
                <td rowspan="1" colspan="1">0.1640</td>
              </tr>
              <tr>
                <td rowspan="4" colspan="1">Birth order</td>
                <td rowspan="1" colspan="1">First Birth Order</td>
                <td rowspan="1" colspan="1">-0.032471</td>
                <td rowspan="1" colspan="1">0.014016</td>
                <td rowspan="1" colspan="1">-2.316619</td>
                <td rowspan="1" colspan="1">0.0238**</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Second Birth Order</td>
                <td rowspan="1" colspan="1">-0.007677</td>
                <td rowspan="1" colspan="1">0.016971</td>
                <td rowspan="1" colspan="1">-0.452344</td>
                <td rowspan="1" colspan="1">0.6526</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Third Birth Order</td>
                <td rowspan="1" colspan="1">-0.027726</td>
                <td rowspan="1" colspan="1">0.017966</td>
                <td rowspan="1" colspan="1">-1.543226</td>
                <td rowspan="1" colspan="1">0.1279</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Fourth or more Birth Order</td>
                <td rowspan="1" colspan="1">-0.009401</td>
                <td rowspan="1" colspan="1">0.009557</td>
                <td rowspan="1" colspan="1">-0.983629</td>
                <td rowspan="1" colspan="1">0.3291</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Age at first marriage</td>
                <td rowspan="1" colspan="1">Median age at first marriage from age group 25 to 49</td>
                <td rowspan="1" colspan="1">0.004761</td>
                <td rowspan="1" colspan="1">0.020887</td>
                <td rowspan="1" colspan="1">0.22796</td>
                <td rowspan="1" colspan="1">0.8204</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Birth interval</td>
                <td rowspan="1" colspan="1">Since the preceding birth interval of the median number of months</td>
                <td rowspan="1" colspan="1">-0.000804</td>
                <td rowspan="1" colspan="1">0.014987</td>
                <td rowspan="1" colspan="1">-0.053662</td>
                <td rowspan="1" colspan="1">0.9574</td>
              </tr>
              <tr>
                <td rowspan="2" colspan="1">Unmet need for family planning</td>
                <td rowspan="1" colspan="1">Unmet need for spacing</td>
                <td rowspan="1" colspan="1">0.068188</td>
                <td rowspan="1" colspan="1">0.03049</td>
                <td rowspan="1" colspan="1">2.236429</td>
                <td rowspan="1" colspan="1">0.0289**</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">Unmet need for limiting</td>
                <td rowspan="1" colspan="1">0.024531</td>
                <td rowspan="1" colspan="1">0.01552</td>
                <td rowspan="1" colspan="1">1.580597</td>
                <td rowspan="1" colspan="1">0.1191</td>
              </tr>
              <tr>
                <td rowspan="4" colspan="1">Sex preference</td>
                <td rowspan="1" colspan="1">preference for more sons than daughters</td>
                <td rowspan="1" colspan="1">0.035821</td>
                <td rowspan="1" colspan="1">0.007451</td>
                <td rowspan="1" colspan="1">4.807252</td>
                <td rowspan="1" colspan="1">0.0000*</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">preference for more daughters than sons</td>
                <td rowspan="1" colspan="1">-0.059287</td>
                <td rowspan="1" colspan="1">0.030207</td>
                <td rowspan="1" colspan="1">-1.962717</td>
                <td rowspan="1" colspan="1">0.0542***</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">desire for at least one son</td>
                <td rowspan="1" colspan="1">-0.001302</td>
                <td rowspan="1" colspan="1">0.006083</td>
                <td rowspan="1" colspan="1">-0.214076</td>
                <td rowspan="1" colspan="1">0.8312</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="1">desire for at least one daughter</td>
                <td rowspan="1" colspan="1">-0.011909</td>
                <td rowspan="1" colspan="1">0.009324</td>
                <td rowspan="1" colspan="1">-1.277255</td>
                <td rowspan="1" colspan="1">0.2063</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="2">R<sup>2</sup></td>
                <td rowspan="1" colspan="4">0.883332</td>
              </tr>
              <tr>
                <td rowspan="1" colspan="2">Durbin – Watson Stat.</td>
                <td rowspan="1" colspan="4">2.328714</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn>
              <p>Notes: * 1% level of significance, ** 5% level of significance, *** 10% level of significance. <italic>Source</italic>: authors’ estimations based on <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>, 1992–1993 to 2019–2021.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
      </sec>
      <sec sec-type="Panel Estimation" id="sec10">
        <title>Panel Estimation</title>
        <p>The results of the Breusch – Pagan <abbrev xlink:title="Lagrange Multiplier">LM</abbrev> test indicate that the null hypothesis is rejected at p &lt; 0.05, suggesting that the pooled <abbrev xlink:title="Ordinary Least Square">OLS</abbrev> model is not suitable for the analysis. Subsequently, the Chow test (Likelihood Ratio Test) was conducted, resulting in the acceptance of the alternative hypothesis. Furthermore, the Hausman test results show acceptance of the null hypothesis, implying that the random effects regression is the most appropriate model for factors such as residence, education, and religion. Conversely, the alternative hypothesis of fixed effects is accepted, indicating that the fixed effects regression is the better model for factors including contraceptive use, birth order, birth interval, unmet need for family planning, and sex preference when compared to the random effects regression. These results are presented in Tables <xref ref-type="table" rid="T1">1</xref> and <xref ref-type="table" rid="T2">2</xref>.</p>
        <p>The estimated random effect model is given by:</p>
        <p><italic>Y<sub>it</sub></italic> = ∝ + β<sub>1</sub><italic>X</italic><sub>1<italic>it</italic></sub> + β<sub>2</sub><italic>X</italic><sub>2<italic>it</italic></sub> + β<sub>3</sub><italic>X</italic><sub>3<italic>it</italic></sub> + β<sub>4</sub><italic>X</italic><sub>4<italic>it</italic></sub> + β<sub>5</sub><italic>X</italic><sub>5<italic>it</italic></sub> + β<sub>6</sub><italic>X</italic><sub>6<italic>it</italic></sub> + β<sub>7</sub><italic>X</italic><sub>7<italic>it</italic></sub> + (α<italic><sub>i</sub></italic> – α) + ε<italic><sub>it</sub></italic>, (1)</p>
        <p>where <italic>Y<sub>it</sub></italic> – Total Fertility Rate<sub><italic>it</italic></sub> – dependent variable; <italic>i</italic> – states, <italic>t</italic> – time periods; <italic>X</italic><sub>1<italic>it</italic></sub> (Rural), <italic>X</italic><sub>2<italic>it</italic></sub> (Urban), <italic>X</italic><sub>3<italic>it</italic></sub> (No education), <italic>X</italic><sub>4<italic>it</italic></sub> (Middle education), <italic>X</italic><sub>5<italic>it</italic></sub> (High school &amp; above), <italic>X</italic><sub>6<italic>it</italic></sub> (Hindu), <italic>X</italic><sub>7<italic>it</italic></sub> (Muslim) – independent variables; β<sub>1</sub>, β<sub>2</sub>, β<sub>3</sub>, β<sub>4</sub>, β<sub>5</sub>, β<sub>6</sub>, β<sub>7</sub> – the coefficients of the independent variables; ε<sub><italic>it</italic></sub> – error term; α – the overall (common) intercept across all states and time periods; α<sub><italic>i</italic></sub> – state-specific effect, capturing the unique characteristics of each state.</p>
        <p>The estimated fixed effect model is:</p>
        <p><italic>Y<sub>it</sub></italic> = α<italic><sub>i</sub></italic> + β<sub>1</sub><italic>X</italic><sub>1<italic>it</italic></sub> + β<sub>4</sub><italic>X</italic><sub>4<italic>it</italic></sub> + β<sub>5</sub><italic>X</italic><sub>5<italic>it</italic></sub> + β<sub>6</sub><italic>X</italic><sub>6<italic>it</italic></sub> + β<sub>7</sub><italic>X</italic><sub>7<italic>it</italic></sub> + β<sub>8</sub><italic>X</italic><sub>8<italic>it</italic></sub> + ……+ β<sub>13</sub><italic>X</italic><sub>13<italic>it</italic></sub> + ε<italic><sub>it</sub></italic>, (2)</p>
        <p>where <italic>X</italic><sub>1<italic>it</italic></sub> – any method of contraception; <italic>X</italic><sub>2<italic>it</italic></sub><italic>–</italic> first birth order; <italic>X</italic><sub>3<italic>it</italic></sub><italic>–</italic> second birth order; <italic>X</italic><sub>4<italic>it</italic></sub><italic>–</italic> third birth order; <italic>X</italic><sub>5<italic>it</italic></sub><italic>–</italic> fourth birth order; <italic>X</italic><sub>6<italic>it</italic></sub><italic>–</italic> median age at first marriage (25–49 years); <italic>X</italic><sub>7<italic>it</italic></sub><italic>–</italic> preceding birth interval (median months); <italic>X</italic><sub>8<italic>it</italic></sub><italic>–</italic> unmet need for spacing; <italic>X</italic><sub>9<italic>it</italic></sub><italic>–</italic> unmet need for limiting; <italic>X</italic><sub>10<italic>it</italic></sub><italic>–</italic> preference for more sons than daughters; <italic>X</italic><sub>11<italic>it</italic></sub><italic>–</italic> preference for more daughters than sons; <italic>X</italic><sub>12<italic>it</italic></sub><italic>–</italic> desire for at least one son; <italic>X</italic><sub>13<italic>it</italic></sub><italic>–</italic> desire for at least one daughter = the independent variables; β<sub>1</sub>, …β<sub>13</sub><italic>–</italic> coefficients of the independent variables; ε<italic><sub>it</sub></italic> – error term; α<italic><sub>i</sub></italic> – state-specific effect, capturing the unique characteristics of each state</p>
        <p>The analysis of the estimated results reveals that the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> is higher in rural areas (0.153751) compared to urban areas (-0.162595), indicating that rural women exhibit higher fertility rates than their urban counterparts.</p>
        <p>When examining the impact of education, it is observed that <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> is highest among illiterate women (0.401354), followed by women with a high school education or above (0.354777). These results suggest that fertility rates decline as women’s education levels increase.</p>
        <p>Additionally, the estimated results indicate that the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> among Hindu women is higher than that of Muslim women; however, the slope coefficient for Muslim women is not statistically significant.</p>
        <p>The use of any method of contraception is found to have a positive but statistically insignificant effect on fertility. Regarding birth order, the first birth has a negative and significant impact on the fertility rate, indicating that, on average, a 1% increase in first births is associated with a 0.03% decline in <abbrev xlink:title="Total Fertility Rate">TFR</abbrev>. In contrast, the second, third, and fourth (or higher) birth orders show negative but statistically insignificant effects.</p>
        <p>According to the estimation results, the median age at first marriage (25–49 years) shows a positive but insignificant association with <abbrev xlink:title="Total Fertility Rate">TFR</abbrev>. Furthermore, the preceding birth interval – measured in median months – negatively affects fertility, although this effect is not statistically significant. Conversely, the unmet need for family planning and the unmet need for spacing have a positive and significant influence on <abbrev xlink:title="Total Fertility Rate">TFR</abbrev>, increasing it by 0.068%.</p>
        <p>On the other hand, the unmet need for limiting has a positive effect on the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev>, although this effect is statistically insignificant. Regarding sex preferences, the desire for more sons than daughters is found to have a positive and highly significant effect on the fertility rate, indicating that a one percent increase in this preference is associated with a 0.03% increase in the fertility rate. In contrast, the preference for more daughters than sons also has a positive influence on the fertility rate, but this effect is not statistically significant. Additionally, the desire for at least one son and the desire for at least one daughter both show negative effects on the fertility rate; however, these effects are also statistically insignificant.</p>
      </sec>
    </sec>
    <sec sec-type="Discussion" id="sec11">
      <title>Discussion</title>
      <p>The present study analyzes the patterns and differentials of fertility, as well as the influence of key factors – residence, education, religion, contraceptive use, birth order, birth interval, unmet need for family planning, and sex preference – on fertility in the states of India using data from five rounds of the <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>. According to the latest <abbrev xlink:title="National Family Health Survey">NFHS</abbrev> data, fertility in India is below the replacement level (2 children per woman) overall, as well as in both rural (2.1 children per woman) and urban (1.6 children per woman) areas. However, in some states such as Bihar, Meghalaya, Uttar Pradesh, and Manipur, fertility remains above the replacement level. Therefore, it is essential to examine the factors influencing fertility patterns and differentials among women of reproductive age.</p>
      <p>Fertility among women of reproductive age is higher in rural areas than in urban areas, with the highest levels observed in the 20–24 age group. Fertility declines after the 30–34 age group and approaches nearly zero by ages 45–49. Additionally, the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> has shown consistent rural–urban differences across India. In 1992–1993, the <abbrev xlink:title="Total Fertility Rate">TFR</abbrev> was 2.7 in urban areas and 3.7 in rural areas, compared to 1.6 and 2.1, respectively, in 2019–2021. These differences are likely associated with variations in the age at first marriage, contraceptive prevalence, desired family size, women’s socio-economic status, participation in non-household employment, and broader social and cultural norms related to childbearing.</p>
      <p>Consistent with previous research, the present study also finds higher fertility in rural compared to urban areas. This result aligns with earlier studies conducted in West Bengal, India (<xref ref-type="bibr" rid="B15">Chouhan et al. 2020</xref>), Ethiopia (<xref ref-type="bibr" rid="B16">Dana 2018</xref>), and Nepal (<xref ref-type="bibr" rid="B1">Adhikari 2010</xref>). These disparities may be attributed to the higher financial cost and greater parental investment required to raise and educate children in urban settings compared to rural ones (<xref ref-type="bibr" rid="B1">Adhikari 2010</xref>). Women in urban areas generally have better access to services and resources, which promotes higher contraceptive use (<xref ref-type="bibr" rid="B1">Adhikari 2010</xref>; Retherford &amp; Thapa 2003). Furthermore, rural women tend to marry at younger ages than their urban counterparts (<xref ref-type="bibr" rid="B46">Zarate 1967</xref>).</p>
      <p>Women in the reproductive age group of 15 to 49 years with higher levels of education tend to have lower fertility rates compared to those with only primary or no education. Our findings are consistent with previous studies conducted in India, Nepal (<xref ref-type="bibr" rid="B1">Adhikari 2010</xref>), and Uganda (Ariho &amp; Nzabona 2019). Educated women are more likely to delay marriage (<xref ref-type="bibr" rid="B34">Reddy 2003</xref>), extend the interval between marriage and childbirth (Roy &amp; Hossain 2017), use contraception, and have smaller family sizes compared to uneducated women (<xref ref-type="bibr" rid="B14">Castro Martin 1995</xref>). Additionally, education significantly influences women’s fertility behavior (Bbaale &amp; Mpuga 2011), since women who attain secondary education or higher are more exposed to information, have greater autonomy in employment and marriage-related decisions, and are more aware of their own reproductive health and that of their children (<xref ref-type="bibr" rid="B1">Adhikari 2010</xref>).</p>
      <p>According to previous studies (<xref ref-type="bibr" rid="B8">Balasubramanian 1984</xref>; Das &amp; Pandey 1985; <xref ref-type="bibr" rid="B5">Arokiasamy 2002</xref>; Mari Bhat&amp;Zaveri 1999; <xref ref-type="bibr" rid="B1">Adhikari 2010</xref>), Muslim women had higher fertility than Hindu women. However, our findings reveal that Hindu women exhibit higher fertility rates than Muslim women, although the coefficient for Muslim women is not statistically significant.This fertility rates differ among religious groups and it may be attributed to religious restrictions, cultural conservatism, and a lack of adequate knowledge or misconceptions about modern family planning methods, all of which can influence the acceptance or rejection of family planning (<xref ref-type="bibr" rid="B3">Albsoul-Younes et al. 2003</xref>). Moreover, low levels of education among Muslim women have been identified as a key factor contributing to higher fertility (Jeffery &amp; Jeffery 2002). Additional factors such as early marriage, strong son preference, and the practice of polygamy may also contribute to higher fertility among Muslim women, as they can lead to competition among co-wives and consequently increase fertility levels (Sargent &amp; Cordell 2003; <xref ref-type="bibr" rid="B39">Tafforeau et al. 1990</xref>).</p>
      <p>Globally, contraceptive use has been a key determinant of fertility. However, our study found that the use of contraception has an insignificant effect on fertility. This may be because women who use contraception tend to have fewer children than those who do not, and contraceptive adoption often increases with rising levels of education. Additionally, women residing in urban areas are more likely to use contraceptives due to better access to health-related facilities (Retherford &amp; Thapa 2003).</p>
      <p>Another important finding of this study is that birth order is positively associated with fertility. Women with higher birth orders tend to have larger families than women at the first birth order, a result consistent with previous research in India. Children born at higher birth orders are also at greater risk of dying during infancy and early childhood (Determinants and Consequences… 2010; <xref ref-type="bibr" rid="B23">Howell et al. 2016</xref>).</p>
      <p>The age at first marriage is positively associated with fertility, though the association is not statistically significant. A lower age at marriage tends to extend the childbearing period, and, in the context of lower contraceptive use, this often results in higher fertility rates. Several studies in India have observed a decline in fertility rates as the mean age at marriage increases (Borkotoky &amp; Unisa 2015; IIPS 2007). Conversely, older age at marriage is associated with reduced fertility, as women who marry later are more likely to have attended school, be employed, use contraceptives, and maintain more equitable relationships with their husbands (Som &amp; Mishra 2020; Bbaale &amp; Mpuga 2011). In contrast, early marriage often leads to higher fertility, particularly in developing countries with limited contraceptive use. This situation can reduce access to education and increase the likelihood of high-risk or unwanted pregnancies, negatively affecting the health of both mother and child (<xref ref-type="bibr" rid="B6">Balakrishnan 1987</xref>).</p>
      <p>Research findings suggest that birth interval has an insignificant direct effect on fertility. However, longer birth intervals are associated with improved child survival rates. A preceding birth interval of less than 18 months doubles the risk of infant mortality compared to intervals of 36 months or longer (<xref ref-type="bibr" rid="B22">Fotso et al. 2013</xref>; <xref ref-type="bibr" rid="B32">Potter 1988</xref>). Women who already have a son tend to have longer birth intervals than those without a son (<xref ref-type="bibr" rid="B27">Khan et al. 2016</xref>). Conversely, the death of a preceding child shortens the interval before the next birth, as women often attempt to conceive again sooner (<xref ref-type="bibr" rid="B27">Khan et al. 2016</xref>; Kamal &amp; Pervaiz 2012). Women from high-wealth families tend to have significantly longer birth intervals, influenced by factors such as education and lifestyle (Kamal &amp; Pervaiz 2012). Less-educated women generally have shorter birth intervals compared to their educated counterparts, who are more likely to use contraception to extend birth spacing. This difference is largely due to greater awareness among educated women of the negative effects of short birth intervals and the benefits of smaller family sizes (Som &amp; Mishra 2020; <xref ref-type="bibr" rid="B40">Tulasidhar 1993</xref>).</p>
      <p>Our study also found that unmet need for family planning has a significant effect on fertility rates. An increase in unmet need for family planning is associated with higher fertility (<xref ref-type="bibr" rid="B2">Akram et al. 2020</xref>). The unmet need for spacing is particularly common among younger women, as observed in <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>-2 (1998–1999) in Maharashtra. This trend may be attributed to a higher proportion of illiterate married women, who often lack access to information and may fear potential side effects. Additionally, barriers related to contraception – such as limited availability and low awareness – along with fertility-related factors such as lactational amenorrhea, desire for more children, and sex preference, also play a role. Opposition from husbands and other family members, religious beliefs, and low socio-economic status further contribute to the persistence of unmet need (<xref ref-type="bibr" rid="B2">Akram et al. 2020</xref>; <xref ref-type="bibr" rid="B45">Wulifan et al. 2017</xref>; <xref ref-type="bibr" rid="B33">Rahman 2016</xref>; <xref ref-type="bibr" rid="B31">Patil et al. 2005</xref>; Khokhar &amp; Mehra 2005; <xref ref-type="bibr" rid="B43">Westoff 1978</xref>).</p>
      <p>With regard to sex preferences, our study found that women who desire more sons than daughters exhibit higher fertility rates. Son preference is particularly pronounced among older women, who often have more children and may have experienced the death of a child (Barman &amp; Sahoo 2021). Sons are frequently viewed as productive assets in family farms or businesses, as providers of security during emergencies and in their parents’ old age, and as successors who carry on the family name and perform various ancestral rites. Additionally, analyses of state- and district-level data suggest that lower son preference in the southern states of India is an important factor contributing to reduced fertility rates in those regions (Drèze &amp; Murthi 2001).</p>
    </sec>
    <sec sec-type="Conclusion" id="sec12">
      <title>Conclusion</title>
      <p>This study revealed significant patterns and differentials in fertility across age groups in India. Fertility differences were observed across multiple demographic categories and were influenced by several key factors. The main determinants shaping fertility patterns and differentials include place of residence (rural vs. urban), education level (no education, primary, high school or above), religion (Hindu), birth order (particularly first birth order), unmet need for family planning (especially unmet need for spacing), and sex preference (a desire for more sons than daughters or more daughters than sons).</p>
      <p>Based on the findings of this study, it is recommended to strengthen efforts aimed at reducing fertility disparities among the states of India. Therefore, government agencies and relevant organizations should assess and implement policies that effectively address these differentials.</p>
    </sec>
    <sec sec-type="Abbreviations" id="sec13">
      <title>Abbreviations</title>
      <p><bold><abbrev xlink:title="National Family Health Survey">NFHS</abbrev></bold>: National Family Health Survey</p>
      <p><bold><abbrev xlink:title="Total Fertility Rate">TFR</abbrev></bold>: Total Fertility Rate</p>
      <p><bold><abbrev xlink:title="Age-Specific Fertility Rate">ASFR</abbrev></bold>: Age-Specific Fertility Rate</p>
      <p><bold><abbrev xlink:title="Augmented Dickey – Fuller">ADF</abbrev></bold>: Augmented Dickey – Fuller</p>
      <p><bold><abbrev xlink:title="Ordinary Least Square">OLS</abbrev></bold>: Ordinary Least Square</p>
      <p><bold><abbrev xlink:title="Fixed Effect">FE</abbrev></bold>: Fixed Effect</p>
      <p><bold><abbrev xlink:title="Random Effect">RE</abbrev></bold>: Random Effect</p>
      <p><bold><abbrev xlink:title="Feasible Generalized Least Square">FGLS</abbrev></bold>: Feasible Generalized Least Square</p>
      <p><bold><abbrev xlink:title="Lagrange Multiplier">LM</abbrev></bold>: Lagrange Multiplier</p>
    </sec>
  </body>
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      <p>SRS (2020) Sample Registration System Statistical Report 2020. In Office of The Registrar General &amp; Census Commissioner, India, Ministry of Home Affairs Government of India. URL: <ext-link xlink:href="https://www.fertilitydata.org/File/GetFile/Raw/IND_21.pdf" ext-link-type="uri">https://www.fertilitydata.org/File/GetFile/Raw/IND_21.pdf</ext-link></p>
      <p>The World Bank Group (2024) Data Bank. URL: <ext-link xlink:href="https://databank.worldbank.org/metadataglossary/millennium-development-goals/series/SP.DYN.TFRT.IN" ext-link-type="uri">https://databank.worldbank.org/metadataglossary/millennium-development-goals/series/SP.DYN.TFRT.IN</ext-link></p>
    </sec>
    <ack>
      <title>Acknowledgements</title>
      <p>The authors express our special thanks to the faculty members of the Economics Department, Bodoland University, for their constant encouragement and support.</p>
    </ack>
    <sec sec-type="Information about the authors" id="sec15">
      <title>Information about the authors</title>
      <p>Konita Basumatary, Ph.D (Economics),Associate Professor and HoD Department of Economics, Bodoland University, Kokrajhar, Assam, India, 783370. E-mail: <ext-link xlink:href="mailto:konitabasumatary@gmail.com" ext-link-type="uri">konitabasumatary@gmail.com</ext-link></p>
      <p>Jasmine Brahma, Research Scholar, Department of Economics, Bodoland University, Kokrajhar, Assam, India, 783370. E-mail: <ext-link xlink:href="mailto:jasmine091194@gmail.com" ext-link-type="uri">jasmine091194@gmail.com</ext-link></p>
    </sec>
    <sec sec-type="Appendix" id="sec16">
      <title>Appendix</title>
      <table-wrap id="T3" position="float" orientation="portrait">
        <label>Table A1.</label>
        <caption>
          <p>Panel Unit Root Test</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="6">Method: <abbrev xlink:title="Augmented Dickey – Fuller">ADF</abbrev> Fisher Unit Root Test</td>
            </tr>
            <tr>
              <td rowspan="2" colspan="2">
                <bold>Variables</bold>
              </td>
              <td rowspan="1" colspan="2">
                <bold>Stationary at level</bold>
              </td>
              <td rowspan="1" colspan="2">
                <bold>Stationary at the single difference</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>Statistic</bold>
              </td>
              <td rowspan="1" colspan="1"><bold>Prob</bold>.</td>
              <td rowspan="1" colspan="1">
                <bold>Statistic</bold>
              </td>
              <td rowspan="1" colspan="1"><bold>Prob</bold>.</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="2"><abbrev xlink:title="Total Fertility Rate">TFR</abbrev> (Total Fertility Rate)</td>
              <td rowspan="1" colspan="1">89.9</td>
              <td rowspan="1" colspan="1">0.0004</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
            <tr>
              <td rowspan="2" colspan="1">Residence</td>
              <td rowspan="1" colspan="1">Rural</td>
              <td rowspan="1" colspan="1">59.7</td>
              <td rowspan="1" colspan="1">0.1628</td>
              <td rowspan="1" colspan="1">104.5</td>
              <td rowspan="1" colspan="1">0.0000</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Urban</td>
              <td rowspan="1" colspan="1">65.4</td>
              <td rowspan="1" colspan="1">0.0706</td>
              <td rowspan="1" colspan="1">94.4</td>
              <td rowspan="1" colspan="1">0.0001</td>
            </tr>
            <tr>
              <td rowspan="3" colspan="1">Education</td>
              <td rowspan="1" colspan="1">No education (illiterate)</td>
              <td rowspan="1" colspan="1">99.6</td>
              <td rowspan="1" colspan="1">0.0000</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Primary level</td>
              <td rowspan="1" colspan="1">148.2</td>
              <td rowspan="1" colspan="1">0.0000</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">High school or above level</td>
              <td rowspan="1" colspan="1">141.5</td>
              <td rowspan="1" colspan="1">0.0000</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
            <tr>
              <td rowspan="2" colspan="1">Religion</td>
              <td rowspan="1" colspan="1">Hindu</td>
              <td rowspan="1" colspan="1">31.6</td>
              <td rowspan="1" colspan="1">0.9798</td>
              <td rowspan="1" colspan="1">83.3</td>
              <td rowspan="1" colspan="1">0.0021</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Muslim</td>
              <td rowspan="1" colspan="1">27.1</td>
              <td rowspan="1" colspan="1">0.9783</td>
              <td rowspan="1" colspan="1">63.6</td>
              <td rowspan="1" colspan="1">0.0101</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Contraceptive use</td>
              <td rowspan="1" colspan="1">Any method of contraception</td>
              <td rowspan="1" colspan="1">67.4</td>
              <td rowspan="1" colspan="1">0.05</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
            <tr>
              <td rowspan="4" colspan="1">Birth order</td>
              <td rowspan="1" colspan="1">First Birth Order</td>
              <td rowspan="1" colspan="1">28.9</td>
              <td rowspan="1" colspan="1">0.9926</td>
              <td rowspan="1" colspan="1">108.3</td>
              <td rowspan="1" colspan="1">0.0000</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Second Birth Order</td>
              <td rowspan="1" colspan="1">32.7</td>
              <td rowspan="1" colspan="1">0.972</td>
              <td rowspan="1" colspan="1">94.2</td>
              <td rowspan="1" colspan="1">0.0002</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Third Birth Order</td>
              <td rowspan="1" colspan="1">52.6</td>
              <td rowspan="1" colspan="1">0.3737</td>
              <td rowspan="1" colspan="1">155.8</td>
              <td rowspan="1" colspan="1">0.0000</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Fourth or more Birth Order</td>
              <td rowspan="1" colspan="1">41.6</td>
              <td rowspan="1" colspan="1">0.7921</td>
              <td rowspan="1" colspan="1">86.1</td>
              <td rowspan="1" colspan="1">0.0011</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Age at first marriage</td>
              <td rowspan="1" colspan="1">Median age at first marriage (25-49 years)</td>
              <td rowspan="1" colspan="1">42.2</td>
              <td rowspan="1" colspan="1">0.7734</td>
              <td rowspan="1" colspan="1">68.7</td>
              <td rowspan="1" colspan="1">0.0405</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Birth interval</td>
              <td rowspan="1" colspan="1">The median number of birth interval</td>
              <td rowspan="1" colspan="1">31.4</td>
              <td rowspan="1" colspan="1">0.9815</td>
              <td rowspan="1" colspan="1">73.2</td>
              <td rowspan="1" colspan="1">0.0176</td>
            </tr>
            <tr>
              <td rowspan="2" colspan="1">Unmet need for family planning</td>
              <td rowspan="1" colspan="1">Unmet need for spacing</td>
              <td rowspan="1" colspan="1">96.5</td>
              <td rowspan="1" colspan="1">0.0001</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Unmet need for limiting</td>
              <td rowspan="1" colspan="1">63.04</td>
              <td rowspan="1" colspan="1">0.1018</td>
              <td rowspan="1" colspan="1">77.1</td>
              <td rowspan="1" colspan="1">0.0082</td>
            </tr>
            <tr>
              <td rowspan="4" colspan="1">Sex preference</td>
              <td rowspan="1" colspan="1">Want more sons than daughters</td>
              <td rowspan="1" colspan="1">82.1</td>
              <td rowspan="1" colspan="1">0.0028</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Want more daughters than sons</td>
              <td rowspan="1" colspan="1">69.1</td>
              <td rowspan="1" colspan="1">0.0378</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Want at least one son</td>
              <td rowspan="1" colspan="1">65.1</td>
              <td rowspan="1" colspan="1">0.0738</td>
              <td rowspan="1" colspan="1">79.8</td>
              <td rowspan="1" colspan="1">0.0046</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Want at least one daughter</td>
              <td rowspan="1" colspan="1">70.03</td>
              <td rowspan="1" colspan="1">0.0322</td>
              <td rowspan="1" colspan="1">NA</td>
              <td rowspan="1" colspan="1">NA</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p>Source: authors’ estimations based on <abbrev xlink:title="National Family Health Survey">NFHS</abbrev>, 1992–1993 to 2019–2021.</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
    </sec>
  </back>
</article>
