How to Calculate the Total Fertility Rate

Total Fertility Rate Calculator

Understanding and Calculating Total Fertility Rate (TFR)

The Total Fertility Rate (TFR) is a crucial demographic indicator that estimates the average number of children a woman would have if she experienced current age-specific fertility rates throughout her reproductive years (typically considered ages 15 to 49). It's a synthetic measure, meaning it's not based on following actual women over time but rather on a snapshot of fertility rates at a specific point in time. TFR is a powerful tool for understanding population trends, reproductive behavior, and future population growth.

Why is TFR Important?

  • Population Replacement: A TFR of approximately 2.1 children per woman is generally considered the "replacement level" fertility. This means that, on average, each generation of women is having enough daughters to replace themselves and their partners, leading to a stable population (ignoring migration). A TFR below 2.1 suggests a population that will likely decline over time, while a TFR significantly above 2.1 indicates population growth.
  • Policy Making: Governments and organizations use TFR to inform policies related to education, healthcare, family planning, and economic development.
  • Social and Economic Analysis: TFR can reflect societal changes, women's educational attainment, access to contraception, economic conditions, and cultural norms.

How to Calculate Total Fertility Rate

The calculation of TFR involves using age-specific fertility rates (ASFRs). ASFR for an age group is calculated by dividing the number of births to women in that age group by the total number of women in that same age group. The TFR is then the sum of these age-specific fertility rates, multiplied by the length of the age interval (which is typically 5 years for most demographic analyses, except for the 15-19 and 45-49 age groups which are also often considered 5-year intervals for simplicity). If we are using 5-year age groups, the formula is:

TFR = (ASFR15-19 + ASFR20-24 + ASFR25-29 + ASFR30-34 + ASFR35-39 + ASFR40-44 + ASFR45-49) × 5

Where ASFR for an age group is calculated as:

ASFRage group = (Number of Births to Women in Age Group) / (Total Number of Women in Age Group)

Note: The calculator below uses a simplified approach where it directly takes the births and female population for each 5-year age group and calculates the sum of the rates, then multiplies by 5. It also includes an input for the total female population which is technically not needed for the TFR calculation itself but is sometimes included for context or other demographic analysis.

Example Calculation:

Let's assume the following data for a hypothetical population:

  • Female Population Aged 15-19: 18,000
  • Births to Women Aged 15-19: 800
  • Female Population Aged 20-24: 20,000
  • Births to Women Aged 20-24: 1,500
  • Female Population Aged 25-29: 22,000
  • Births to Women Aged 25-29: 1,800
  • Female Population Aged 30-34: 23,000
  • Births to Women Aged 30-34: 1,600
  • Female Population Aged 35-39: 20,000
  • Births to Women Aged 35-39: 1,200
  • Female Population Aged 40-44: 17,000
  • Births to Women Aged 40-44: 700
  • Female Population Aged 45-49: 13,000
  • Births to Women Aged 45-49: 300

Step 1: Calculate ASFR for each age group:

  • ASFR15-19 = 800 / 18,000 = 0.0444
  • ASFR20-24 = 1,500 / 20,000 = 0.0750
  • ASFR25-29 = 1,800 / 22,000 = 0.0818
  • ASFR30-34 = 1,600 / 23,000 = 0.0696
  • ASFR35-39 = 1,200 / 20,000 = 0.0600
  • ASFR40-44 = 700 / 17,000 = 0.0412
  • ASFR45-49 = 300 / 13,000 = 0.0231

Step 2: Sum the ASFRs:

0.0444 + 0.0750 + 0.0818 + 0.0696 + 0.0600 + 0.0412 + 0.0231 = 0.3951

Step 3: Multiply by the interval length (5 years):

TFR = 0.3951 × 5 = 1.9755

This hypothetical population has a Total Fertility Rate of approximately 1.98 children per woman. This is slightly below the replacement level of 2.1, suggesting a potential for population decline if these fertility rates persist.

function calculateTFR() { var ageGroup0to4 = parseFloat(document.getElementById("ageGroup0to4").value); var births0to4 = parseFloat(document.getElementById("births0to4").value); var ageGroup5to9 = parseFloat(document.getElementById("ageGroup5to9").value); var births5to9 = parseFloat(document.getElementById("births5to9").value); var ageGroup10to14 = parseFloat(document.getElementById("ageGroup10to14").value); var births10to14 = parseFloat(document.getElementById("births10to14").value); var ageGroup15to19 = parseFloat(document.getElementById("ageGroup15to19").value); var births15to19 = parseFloat(document.getElementById("births15to19").value); var ageGroup20to24 = parseFloat(document.getElementById("ageGroup20to24").value); var births20to24 = parseFloat(document.getElementById("births20to24").value); var ageGroup25to29 = parseFloat(document.getElementById("ageGroup25to29").value); var births25to29 = parseFloat(document.getElementById("births25to29").value); var ageGroup30to34 = parseFloat(document.getElementById("ageGroup30to34").value); var births30to34 = parseFloat(document.getElementById("births30to34").value); var ageGroup35to39 = parseFloat(document.getElementById("ageGroup35to39").value); var births35to39 = parseFloat(document.getElementById("births35to39").value); var ageGroup40to44 = parseFloat(document.getElementById("ageGroup40to44").value); var births40to44 = parseFloat(document.getElementById("births40to44").value); var ageGroup45to49 = parseFloat(document.getElementById("ageGroup45to49").value); var births45to49 = parseFloat(document.getElementById("births45to49").value); // Total female population is not directly used in the TFR calculation itself but is included as per input field // var totalFemalePopulation = parseFloat(document.getElementById("totalFemalePopulation").value); var resultElement = document.getElementById("result"); resultElement.innerHTML = ""; // Clear previous results var asfrSum = 0; var interval = 5; // Calculate ASFR and sum for reproductive age groups (15-49) if (!isNaN(ageGroup15to19) && ageGroup15to19 > 0 && !isNaN(births15to19)) { var asfr15to19 = births15to19 / ageGroup15to19; asfrSum += asfr15to19; } else { resultElement.innerHTML += "Please enter valid numbers for Female Population Aged 15-19 and Births to Women Aged 15-19."; return; } if (!isNaN(ageGroup20to24) && ageGroup20to24 > 0 && !isNaN(births20to24)) { var asfr20to24 = births20to24 / ageGroup20to24; asfrSum += asfr20to24; } else { resultElement.innerHTML += "Please enter valid numbers for Female Population Aged 20-24 and Births to Women Aged 20-24."; return; } if (!isNaN(ageGroup25to29) && ageGroup25to29 > 0 && !isNaN(births25to29)) { var asfr25to29 = births25to29 / ageGroup25to29; asfrSum += asfr25to29; } else { resultElement.innerHTML += "Please enter valid numbers for Female Population Aged 25-29 and Births to Women Aged 25-29."; return; } if (!isNaN(ageGroup30to34) && ageGroup30to34 > 0 && !isNaN(births30to34)) { var asfr30to34 = births30to34 / ageGroup30to34; asfrSum += asfr30to34; } else { resultElement.innerHTML += "Please enter valid numbers for Female Population Aged 30-34 and Births to Women Aged 30-34."; return; } if (!isNaN(ageGroup35to39) && ageGroup35to39 > 0 && !isNaN(births35to39)) { var asfr35to39 = births35to39 / ageGroup35to39; asfrSum += asfr35to39; } else { resultElement.innerHTML += "Please enter valid numbers for Female Population Aged 35-39 and Births to Women Aged 35-39."; return; } if (!isNaN(ageGroup40to44) && ageGroup40to44 > 0 && !isNaN(births40to44)) { var asfr40to44 = births40to44 / ageGroup40to44; asfrSum += asfr40to44; } else { resultElement.innerHTML += "Please enter valid numbers for Female Population Aged 40-44 and Births to Women Aged 40-44."; return; } if (!isNaN(ageGroup45to49) && ageGroup45to49 > 0 && !isNaN(births45to49)) { var asfr45to49 = births45to49 / ageGroup45to49; asfrSum += asfr45to49; } else { resultElement.innerHTML += "Please enter valid numbers for Female Population Aged 45-49 and Births to Women Aged 45-49."; return; } var totalFertilityRate = asfrSum * interval; resultElement.innerHTML = "

Calculation Result:

" + "Sum of Age-Specific Fertility Rates (ASFRs) for ages 15-49: " + asfrSum.toFixed(4) + "" + "Total Fertility Rate (TFR): " + totalFertilityRate.toFixed(2) + " children per woman"; }

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