RHT

Ecology & Environment

Rainwater Harvesting Trend Calculator

Project annual rainfall, gross roof catchment, demand coverage, and cumulative harvested volume across the selected horizon.

First-year harvest potential (L)-
Final-year rainfall assumption-
Final-year harvest potential (L)-
Final-year gross demand coverage-
Final minus first-year harvest (L)-
Final rainfall versus starting year-

Decision view

Annual rainwater harvest projection

Annual rainwater harvest projectionProjection year is the x-axis; annual harvest potential in liters follows the exact compounded rainfall path.
Exact scenario comparisonAnnual rainfall trend (%) changes while all other entered assumptions remain constant.
Annual rainfall trend (%)First-year harvest potential (L)Final-year rainfall assumptionFinal-year harvest potential (L)Final-year gross demand coverageFinal minus first-year harvest (L)Final rainfall versus starting year

Period-by-period detail

Annual rainfall and gross harvest projection

Every year compounds the entered rainfall trend and recalculates harvest potential and gross demand coverage.

How to use Rainwater Harvesting Trend Calculator

  1. Enter starting rainfall, annual trend, roof area, efficiency, demand, and horizon.
  2. Read the final-year outputs.
  3. Use the annual table and cumulative curve to inspect the whole path.

Calculator guide

Understanding Rainwater Harvesting Trend Calculator

A rainfall trend compounds year by year, so harvest potential follows the same percentage path while roof area and runoff efficiency remain fixed.

Convert the annual trend Each later year retains 98.5% of the preceding year's rainfall assumption.
Calculate first-year harvest The mm·m² identity produces liters directly.
Compound to the final year Fifteen projection years contain fourteen annual changes from year 1.
Convert final rainfall to harvest The final annual gross potential remains above the entered annual demand.

Calculation method

How the calculation works

Project a rainwater-harvesting trend by compounding annual rainfall change and translating each year into catchment yield and demand coverage. Compound the entered rainfall change from the starting year, then multiply each year's rainfall depth by catchment area and runoff efficiency.

Detailed calculation process

Compound rainfall and translate it into annual harvest

The default starts at 900 mm, changes by -1.5% annually for 15 years, uses 180 m² of roof at 85% efficiency, and compares with 100,000 L annual demand.

General formula: g = 1 + r/100R_t = R_1 g^(t-1)H_t = R_t A etaC_t = 100H_t/DH_cum,N = sum(t=1..N) H_t One millimetre of rain on one square metre equals one litre. The trend factor compounds rainfall, and fixed area and efficiency convert each projected depth directly to liters.

What each symbol means

r, g Annual rainfall trend (%) and decimal growth factor (dimensionless).
R_1, R_t Starting and year-t rainfall (mm).
A Catchment area (m²).
eta Runoff efficiency as a decimal.
H_t Year-t gross harvest potential (L).
D Entered annual demand (L).
C_t Gross demand coverage in year t (%).
N Projection horizon (years).

Worked substitution with the default inputs

1. Convert the annual trend g = 1 + (-1.5)/100g = 0.985 Each later year retains 98.5% of the preceding year's rainfall assumption.
2. Calculate first-year harvest eta = 85/100 = 0.85H_1 = 900(180)(0.85)H_1 = 137,700 L The mm·m² identity produces liters directly.
3. Compound to the final year R_15 = 900(0.985)^(15-1)R_15 = 728.366 mm Fifteen projection years contain fourteen annual changes from year 1.
4. Convert final rainfall to harvest H_15 = 728.366(180)(0.85)H_15 = 111,440.016 LC_15 = 100(111,440.016)/100,000 = 111.440% The final annual gross potential remains above the entered annual demand.
5. Reconcile the change Delta_H = 111,440.016 - 137,700Delta_H = -26,259.984 L728.366/900 = 80.930% Harvest and rainfall share the same 80.930% final-to-start ratio because area and efficiency are fixed.

The default annual potential falls from 137,700 L to 111,440 L while the full 15-year cumulative curve records every intervening year.

Purpose-built visual

Cumulative harvest area curve

Annual harvest forms a changing line while the shaded cumulative series shows how volume accumulates through the horizon.

Live inputs Every plotted quantity is recalculated from the current form values.
Decision context Reference lines and endpoints retain their actual units.
Reconciliation The visual and calculation steps close to the displayed result.

Worked situations

Practical examples

  • The default starts at 900 mm, changes by -1.5% annually for 15 years, uses 180 m² of roof at 85% efficiency, and compares with 100,000 L annual demand.
  • The default annual potential falls from 137,700 L to 111,440 L while the full 15-year cumulative curve records every intervening year.

Better inputs

Useful tips

  • Change one assumption at a time and compare the live result and visual.
  • Keep all entered quantities on the units stated beside their fields.
  • Retain extra precision through intermediate steps and round only reported results.

Before relying on the result

Limitations and common mistakes

  • The smooth compound trend is not a climate forecast.
  • Storage, overflow, first flush, seasonal timing, drought, and water quality are excluded.
  • Gross coverage can exceed 100% without proving that demand can be met at every date.

Reference

Key terms

Catchment yield
Rainfall depth times receiving area before or after stated efficiency.
Compound trend
A percentage change applied to each preceding year.
Gross coverage
Annual potential divided by annual entered demand.

Important note

Calculated from the entered environmental values using the displayed model. Measurement quality, local conditions, system boundaries, and source data affect interpretation.

Frequently asked questions

Why is the exponent t minus 1?

Year 1 is the starting value, so no annual change has occurred yet.

Why does mm times m² equal liters?

A 1 mm layer over 1 m² is 0.001 m³, which is 1 liter.

Does coverage include tank size?

No. It is an annual gross comparison only.

Can a negative trend reach negative rainfall?

No for valid rates above -100%; the compound factor stays nonnegative.