Watershed Model Simulator: Integrated Water Balance for Catchment Analysis

simulator intermediate ~10 min
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Q = 360 mm/yr — total watershed streamflow (40% of precipitation)

With 900 mm/yr precipitation, 15% impervious cover, 1.5m soil depth, and 10% slope, the watershed yields approximately 360 mm/yr of streamflow, with 500 mm lost to ET and 40 mm recharging groundwater.

Formula

P = Q + ET + ΔS (water balance)
R/P = a × Imp + b × S / Ds (empirical runoff ratio)
GW_recharge = (1 - Imp) × (P - ET - R_pervious)

The Watershed as a System

A watershed — the land area draining to a common outlet — is the fundamental unit of hydrology. Every drop of rain landing within its boundaries follows one of several paths: running off the surface, infiltrating into soil, evaporating back to the atmosphere, transpiring through plants, or percolating to groundwater. Integrated watershed models track all these pathways simultaneously to predict streamflow, water quality, and ecological health.

Partitioning Precipitation

The fate of rainfall depends on a hierarchy of factors: impervious surfaces shed water immediately; vegetated surfaces intercept and evaporate a fraction; soil absorbs water at a rate controlled by texture, moisture, and depth; slopes determine how long water has to infiltrate before flowing downhill. This simulation computes the annual water balance, showing how each parameter shifts the partition among runoff, ET, recharge, and streamflow.

Land Use and the Hydrologic Response

Converting forest to farmland increases runoff and reduces ET. Urbanization amplifies the effect dramatically — impervious surfaces bypass the soil entirely. Research consistently shows that crossing 10% impervious cover begins degrading stream health, and above 25%, stream ecosystems are severely impaired. The simulation visualizes this transition as you adjust the impervious fraction slider.

Toward Sustainable Watersheds

Effective watershed management balances human water needs with ecosystem requirements. Low-impact development (green roofs, rain gardens, permeable pavement) attempts to maintain pre-development hydrology. Watershed models inform these decisions by quantifying how proposed land-use changes will alter the water balance — enabling planners to evaluate tradeoffs between development and environmental protection before breaking ground.

FAQ

What is a watershed model?

A watershed model is a mathematical representation of hydrological processes within a drainage basin. It tracks how precipitation is partitioned among surface runoff, infiltration, evapotranspiration, groundwater recharge, and streamflow. Models range from simple water balance equations to complex distributed simulations.

What is the water balance equation?

The fundamental water balance states P = Q + ET + ΔS, where P is precipitation, Q is streamflow, ET is evapotranspiration, and ΔS is change in storage (soil moisture + groundwater). Over long periods, ΔS approaches zero, so P ≈ Q + ET — the Budyko framework exploits this simplification.

How does urbanization affect watershed hydrology?

Increasing impervious surfaces reduces infiltration, increases surface runoff volume and peak rates, reduces groundwater recharge and baseflow, increases flood frequency, degrades water quality through pollutant washoff, and raises stream temperatures. The effect becomes measurable above 10% impervious cover.

What is baseflow and why does it matter?

Baseflow is the portion of streamflow sustained by groundwater discharge during dry periods. It maintains aquatic habitats, dilutes pollutants, and provides reliable water supply. Urbanization and excessive groundwater pumping reduce baseflow, causing streams to dry up between storms.

Sources

Embed

<iframe src="https://homo-deus.com/lab/hydrology/watershed-model/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub