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Calcimator

Urban Growth Boundary Calculator

Analyze urban growth boundary capacity from population projections, vacant land inventory, and target density to determine expansion needs.

About this calculator

The Urban Growth Boundary Calculator projects how much housing capacity a city needs inside its growth boundary over a planning horizon, then compares that against the capacity its vacant and redevelopable land can actually supply at a target density. Current Population compounds forward at the Annual Growth Rate over the Planning Horizon to produce Projected Population, and Current Population is the input the projection responds to most strongly, since it's the base every year of compounding growth multiplies from. Housing Units Needed converts the resulting Population Growth into units using Avg. Household Size, while Land Capacity combines Vacant Buildable Land at Target Density with Redevelopable Land's capacity gain (the difference between Target Density and Current Avg. Density, since redevelopment adds capacity only for the density increase, not the land's full new-density yield).

Raising Target Density or Vacant Buildable Land both raise Land Capacity in units, which is how a jurisdiction can accommodate more growth without expanding its boundary. Avg. Household Size has no effect on Land Capacity itself -- it only converts between population and housing-unit figures on the demand side, not the supply side, so it doesn't change how many units the land can hold. When Land Capacity falls short of Housing Units Needed, the calculator flags that a boundary expansion is needed and estimates how many additional acres would close the gap at the target density. This is a planning-level compound-growth projection, not a substitute for an actual buildable-lands inventory or growth-management study.

Inputs

years
acres
acres
units/acre
units/acre

Results

Projected Population

74,297

Housing Units Needed

9,719

Population Growth24,297
Land Capacity (units)5,800
Unit Surplus / Deficit-3,919
Years of Capacity11.9 years
UGB ExpansionYes — UGB expansion required
Expansion Needed392 acres
Infill Potential29%
Total Capacity Population14,500
How to Use This Calculator
  1. Enter Current Population, Annual Growth Rate, and Planning Horizon.
  2. Set Vacant Buildable Land, Redevelopable Land, and Current Avg. Density.
  3. Adjust Target Density, Avg. Household Size as needed.
  4. Review Projected Population and Housing Units Needed.
  5. Use Population Growth and Land Capacity (units) to inform your decision.

How the result changes with Current Population

Current PopulationProjected PopulationHousing Units Needed
25,00037,1494,860
37,50055,7237,290
75,000111,44614,579
125,000185,74324,298

What each input means

Current Population
Current population within the urban growth boundary.
Annual Growth Rate
Expected annual population growth rate. US average is ~0.5-1%; fast-growth cities 2-4%.
Planning Horizon
Number of years the UGB must accommodate growth. Typical is 20 years.
Vacant Buildable Land
Acres of vacant land within the UGB suitable for residential development.
Redevelopable Land
Acres of underutilized land that could be redeveloped at higher density.
Current Avg. Density
Average current residential density of developed areas within the UGB.
Target Density
Target residential density for new development and redevelopment.
Avg. Household Size
Average number of persons per household.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    8 parameters
    Current Population = 50000, Annual Growth Rate = 2, Planning Horizon = 20, Vacant Buildable Land = 500, Redevelopable Land = 200, Current Avg. Density = 6, Target Density = 10, Avg. Household Size = 2.5 = 8 input(s) provided
  2. Calculate Projected Population
    Projected Population
    74297 = 74297
  3. Calculate Housing Units Needed
    Housing Units Needed
    9719 = 9719
  4. Calculate Population Growth
    Population Growth
    24297 = 24297
  5. Calculate Land Capacity
    Land Capacity
    5800 = 5800

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does a small change in growth rate matter so much over a 20-year horizon?

Population growth compounds annually rather than adding a flat amount each year, so even a modest difference in Annual Growth Rate -- say 2% versus 3% -- produces a meaningfully different Projected Population after 20 years of compounding, the same way a difference in interest rate compounds into a large gap in an investment balance over time. That's why small, defensible growth-rate assumptions matter more than they might first appear.

Why doesn't Avg. Household Size affect how much housing capacity the land provides?

Land Capacity is a supply-side figure driven entirely by acreage and density -- Vacant Buildable Land and Redevelopable Land multiplied by Target Density (and the density gain from redevelopment). Avg. Household Size only converts between population figures and housing-unit figures on the demand side, translating Population Growth into Housing Units Needed, so it never changes how many units the land itself can physically hold.

Why does Redevelopable Land contribute less capacity per acre than Vacant Buildable Land?

Vacant land starts from zero, so its full Target Density becomes new capacity. Redevelopable land is already built at Current Avg. Density, so redeveloping it only adds the difference between the target and current density -- an acre going from 6 to 10 units per acre gains 4 units of new capacity, not 10, because the existing 6 units per acre were already there.

What does it mean when UGB Expansion says expansion is needed?

It means Housing Units Needed over the planning horizon exceeds Land Capacity -- the units the vacant and redevelopable land inside the current boundary could supply at your target density -- so the projected population can't be accommodated without either expanding the boundary, raising the target density further, or slowing growth. Expansion Needed (acres) estimates how much additional land would close that specific gap.

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