PopulaMetrics — Population Science Calculator

Population Growth Models

Exponential, Logistic, and Geometric growth calculations

Exponential: P_t = P₀·e^rt

Logistic: P_t = K / [1 + ((K-P₀)/P₀)e^−rt]

Geometric: P_t = P₀(1+r)^t

Doubling Time: T_d = ln(2)/r

📐 Growth Calculator

Growth Model i

Initial Population (P₀) i

Growth Rate (r) % i

Time Period (years) i

Carrying Capacity (K) i

Vital Statistics

Birth rates, death rates, and natural increase calculations

CBR: (B/P)×1000

CDR: (D/P)×1000

NIR: CBR − CDR

IMR: (D_inf/B)×1000

💗 Vital Rates Calculator

Total Mid-Year Population i

Total Live Births i

Total Deaths i

Infant Deaths (<1yr) i

Maternal Deaths i

Under-5 Deaths i

Fertility & Mortality Analysis

TFR, GFR, NRR, Life Expectancy calculations

TFR: Σ(ASFR_i×5)

GFR: (B/W_15–49)×1000

NRR: TFR × f_f × s_l

👶 Fertility Rates

Women aged 15–49 (reproductive age) i

Total Live Births in Year i

Age-Specific Fertility Rates

15–19 i

20–24 i

25–29 i

30–34 i

35–39 i

40–44 i

45–49 i

⚰️ Mortality & Life Table

Life Expectancy at Birth (e₀) i

Life Expectancy at Age 1 (e₁) i

Deaths Males i

Deaths Females i

Male Population i

Female Population i

Female NRR Survivorship Factor (0–1) i

Age Structure Analysis

Dependency ratios, aging indices, and demographic dividend

YDR: (P_0–14/P_15–64)×100

ODR: (P₆₅₊/P_15–64)×100

Aging Index: (P₆₅₊/P_0–14)×100

🏛️ Age Structure Calculator

Total Population i

Age 0–14 (children) i

Age 15–64 (working) i

Age 65+ (elderly) i

Age 80+ (oldest-old) i

Median Age (years) i

Migration Analysis

Net migration, migration rates, and demographic impact

NMR: [(I−E)/P]×1000

Balancing Eq: P_t = P₀ + (B−D) + (I−E)

✈️ Migration Calculator

Base Population i

Immigrants (in-migrants) i

Emigrants (out-migrants) i

Births in Period i

Deaths in Period i

Time Period (years) i

Population Projections

Short and long-term demographic forecasting

Medium: P_t = P₀·e^rt

Low/High: P_t = P₀·e^r_variantt

🔮 Projection Engine

Current Population i

Current Growth Rate (%) i

Projection Years i

Low Scenario Rate (%) i

High Scenario Rate (%) i

Demographic Transition Stage i

Population Density & Urbanization

Density measures and urban-rural dynamics

Arithmetic Density: P / A_total

Physiological Density: P / A_arable

🗺️ Density Calculator

Total Population i

Total Area (km²) i

Arable Land (km²) i

Urban Population i

Rural Population i

Largest City Population i

Population ScienceCalculator