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Calcimator

Water Budget Calculator

Calculate the water balance for a watershed or region. Determine storage change from precipitation, evapotranspiration, runoff, and groundwater outflow.

About this calculator

This calculator applies the fundamental hydrologic water-balance equation -- Storage Change (deltaS) = Precipitation - Evapotranspiration - Surface Runoff - Groundwater Outflow -- to tell you whether a watershed gained or lost water in storage (soil moisture, groundwater, surface water) over the budget period. Precipitation is the only term that adds water to the system in this equation; the other three all subtract from it, and all four terms carry an equal, unweighted coefficient of magnitude 1 -- a one-millimeter change in Precipitation shifts Storage Change by exactly as much as a one-millimeter change in any single loss term, since the equation is a plain sum and difference, not a weighted one. At this calculator's default values Precipitation happens to be the numerically largest of the four (900 mm versus 500/200/50 mm for the loss terms), which is typical for a real watershed since the loss terms draw from what Precipitation supplies, but that's a property of the example numbers, not a structural weighting built into the formula. A positive Storage Change means the watershed is gaining water (a Surplus), a negative value means it's losing water faster than it's being replenished (a Deficit), and the exact break-even point depends on your specific loss totals -- at this calculator's defaults, storage tips from surplus to deficit once Surface Runoff alone exceeds 350 mm, holding the other terms fixed.

The P/ET Ratio (Precipitation divided by Evapotranspiration) shown here is a simplified wetness indicator, not the standard climate-classification Aridity Index -- the real UNEP Aridity Index divides Precipitation by potential evapotranspiration (the water a fully-watered surface could lose to the atmosphere, an independent measure of atmospheric demand) and classifies climates as humid above a 0.65 threshold and arid, semi-arid, or dry sub-humid below it. This calculator instead reuses the water balance's own actual Evapotranspiration term above (already limited by whatever water was actually available, not atmospheric demand), so read a ratio above 1 as "Precipitation exceeded this period's actual water loss to ET" and below 1 as "it didn't" -- a rough within-calculator wetness signal, not a substitute for a real climate classification. This is a simplified, lumped-parameter water budget suited to a first-pass regional or watershed-scale estimate -- it doesn't account for soil storage capacity, snowpack, or within-period timing, so a real hydrologic study would typically model these terms over shorter time steps and account for how water moves between storage compartments, not just the net change.

Inputs

mm
mm
mm
mm

Results

Storage Change (ΔS)

150 mm

≈ 2 credit cards

Budget Status

Surplus

ET (% of Precip)55.6%
Runoff (% of Precip)22.2%
GW Outflow (% of Precip)5.6%
Storage (% of Precip)16.7%
Volume Change per km²150,000 m³
P/ET Ratio (Simplified)1.8
Runoff Ratio0.222
Precip Volume900,000 m³
How to Use This Calculator
  1. Enter Precipitation, Evapotranspiration, and Surface Runoff.
  2. Set Groundwater Outflow.
  3. Review Storage Change (ΔS) (mm) and Budget Status.
  4. Use ET (% of Precip) and Runoff (% of Precip) to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Precipitation

PrecipitationStorage Change (ΔS)Budget Status
450-300 mmDeficit
675-75 mmDeficit
1,350600 mmSurplus
2,2501,500 mmSurplus

What each input means

Precipitation
Total precipitation input for the budget period in millimeters
Evapotranspiration
Total water lost to evaporation and plant transpiration in millimeters
Surface Runoff
Total surface water leaving the watershed boundary in millimeters
Groundwater Outflow
Net groundwater leaving the basin through subsurface flow in millimeters

How this is calculated

Formula

ΔS = P - ET - R - GW_out

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Precipitation = 900, Evapotranspiration = 500, Surface Runoff = 200, Groundwater Outflow = 50 = 4 input(s) provided
  2. Calculate Storage Change
    Storage Change
    150 = 150
  3. Calculate Budget Status
    Budget Status
    Surplus = Surplus
  4. Calculate ET
    ET
    55.6 = 55.6
  5. Calculate Runoff
    Runoff
    22.2 = 22.2

Engine last updated . Checked against 4 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

Is Precipitation weighted more heavily than the loss terms in Storage Change?

No -- Storage Change is a plain sum and difference (Precipitation minus Evapotranspiration, Surface Runoff, and Groundwater Outflow), and all four terms carry an identical, unweighted coefficient: a one-millimeter change in Precipitation moves Storage Change by exactly the same amount as a one-millimeter change in any single loss term. Precipitation is often the largest individual number in a real watershed's water budget, which is why the surplus/deficit outcome tends to track it closely in practice, but that's a consequence of typical magnitudes, not a structural weighting built into the equation.

What does a negative Storage Change (Deficit) actually mean?

It means more water left the watershed through evapotranspiration, surface runoff, and groundwater outflow than arrived as precipitation over the budget period -- the watershed is drawing down its stored water (soil moisture, groundwater, or surface storage) to make up the difference. A sustained deficit over multiple budget periods is the kind of signal that shows up in declining groundwater levels or streamflow during drought.

What does the P/ET Ratio tell me that Storage Change doesn't?

P/ET Ratio (Precipitation divided by this budget's actual Evapotranspiration) is a simplified wetness indicator independent of the runoff and groundwater terms -- values above 1 mean Precipitation exceeded actual ET losses for the period, while values below 1 mean it didn't. It is not the standard climate-classification Aridity Index, which divides Precipitation by potential (not actual) evapotranspiration and uses a 0.65 humid/dryland threshold -- this ratio is a rough within-calculator signal, separate from the specific storage-change result for a single budget period, not a substitute for a real climate classification.

Does this calculator account for how water moves between storage types?

No -- it produces a single net Storage Change figure that lumps soil moisture, groundwater, and surface storage together as one "storage" term, following the basic water-balance equation. A full hydrologic study would typically separate these compartments and model shorter time steps to capture seasonal timing, snowpack, and soil infiltration capacity, none of which this simplified regional-scale budget represents.

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