AgRadiance AgRadiance

AgRadiance Method

How the model works

Light, microclimate, soil water and crop growth are solved together, point by point across the pitch, on the project's own geometry, weather, soil and crop calendar.

  • Published models
  • Calibrated against experiments
  • Tested on unseen sites

01

Light

The array is built in 3D from the layout: modules, posts and, for trackers, the rotation through the day. Light is ray-traced onto a grid across the pitch for every hour of the year.

71 %

of open-field light in the farming zone

annual, showcase study

Under the modules
57 %
Between the rows
74 %
Tracker rows in 3D with the ground coloured by annual light: darker under each row, brighter between the rows
Annual light at crop height, % of the open field50 %100 %
Annual light across the field from the ray-traced showcase run: shade along each tracker row, brighter strips between them.

02

Microclimate

An hourly energy balance of the canopy gives the conditions the crop actually grows in under the modules, between the rows and at the edges.

−3.4 °C

leaf temperature on the hottest days

farming zone against the open field, ten hottest days

daily maximum air temperature
−0.4 °C
Leaf heat days above 35 °C
Open field
16
Under the array
7

03

Soil water

Soil water is solved per grid point down to 2 m. Modules shed rain onto drip lines; shade cuts evaporation; the crop draws water by its own roots.

−50 %

irrigation in a dry year

330 instead of 665 m³/ha for the same yield

water use, median year
−14 %
drainage below the roots
160 mm
Side section of two tracker rows: soil water to 2 m depth below, modelled wheat above, shorter under the modules
Soil water, mid-April to mid-Junedrierwetter
Soil water to 2 m during grain filling, with the modelled wheat above it: shorter in the shade under the modules, with a bare strip along each pile line. It is driest mid-row, where the roots draw hardest. Depth drawn at 1.5×.

04

Crop growth

Crop growth uses published, open-source process models, WOFOST, DSSAT and STICS among them: phenology, leaf area, biomass and yield respond to the light, temperature and water each point receives.

Every result is run over multiple weather years, with named dry, hot and wet years, and reported as P10–P90 ranges against the open field.

86 %

of open-field wheat yield

whole parcel, rainfed, median of twenty seasons

Output
Yield per zone and per crop against the open field
Seasons
Multiple weather years, named dry, hot and wet years
Uncertainty
P10–P90 ranges, not a single average

Twenty seasons, whole parcel

Dot: median (P50). Bar: P10–P90 across seasons and crop parameters. Line = open field.

Wheat Rainfed
86 %
Wheat Irrigated
85 %
Spinach Rainfed
72 %
Spinach Irrigated
71 %
Pasture Rainfed
80 %
Pasture Irrigated
80 %
Show the data
P50P10P90
Wheat, Rainfed86 %77 %105 %
Wheat, Irrigated85 %79 %103 %
Spinach, Rainfed72 %69 %77 %
Spinach, Irrigated71 %70 %72 %
Pasture, Rainfed80 %77 %83 %
Pasture, Irrigated80 %78 %84 %

Crop yield by zone

Rainfed, median year. Each crop against its own open field (line = 100 %).

  • Wheat
  • Spinach
  • Pasture
Under the modules
Wheat
86 %
Spinach
63 %
Pasture
74 %
Between the rows
Wheat
100 %
Spinach
74 %
Pasture
86 %
Farming zone
Wheat
98 %
Spinach
73 %
Pasture
84 %
Show the data
ZoneWheatSpinachPasture
Under the modules86 %63 %74 %
Between the rows100 %74 %86 %
Farming zone98 %73 %84 %

05

Farmability

Machinery passage between the rows, clearance under the modules and headland turns are checked for the farm's own equipment. Turns are planned as U-, omega or reversing T-turns, so the headland depth in the layout is the one the machines need.

Plan view of tracker rows with planned omega turns for a tractor and implement at the headland
Headland turns planned for every lane change: omega turns for a tractor with implement.

Calibrated, then tested against data it has not seen

  1. 01

    Published models

    Crop, soil-water and light models from the scientific literature, not a black box.

  2. 02

    Staged calibration

    Phenology first, then growth and yield, with a target error of nRMSE ≤ 0.20.

  3. 03

    Leave-one-site-out validation

    Whole sites are held out of calibration and predicted blind, so the test is honest.

  4. 04

    Checked against field trials

    Study results are set against published agrivoltaic field trials for the same crops.

Simulated yields against published field trials

Share of the open-field yield. Field trials: 17 yield observations from seven agrivoltaic trials. Showcase study: P10–P90 over twenty seasons, whole parcel, rainfed.

  • Published field trials
  • Showcase study
Wheat
Published field trials
54–103 %
Showcase study
77–105 %
Spinach
Published field trials
31–74 %
Showcase study
69–77 %
Pasture
Published field trials
69–128 %
Showcase study
77–83 %
Show the data
Published field trialsShowcase study
Wheat54–103 %77–105 %
Spinach31–74 %69–77 %
Pasture69–128 %77–83 %

What you receive

A technical report, branded and signed, or an unbranded Word document for a chapter or appendix of your own permit file.

  • Yield per zone and per crop against the open field
  • Water balance and irrigation demand
  • Microclimate under the array
  • PV yield and land equivalent ratio
  • Machinery access and headland depth
  • Figures and tables for permitting

Working on an agrivoltaic project?

Design, permitting, due diligence or bankability: tell us where the project stands. We reply within one business day.