Scientific Daylight Metrics · v4.0.2

Measure Light.
Design Intelligence.

DAo Studio transforms Daylight Factor data into precise occupancy-based illuminance metrics — enabling sensor-less smart lighting control under overcast sky conditions.

Current lighting quality
0.00% DF
⚠ Acceptable
DAo 0% · DAo.con 0%
Orientation-Independent
Works for any facade
CIE Standard Sky
Overcast sky model
Published Research
University of Seville, 2019–2023
Room cross-section · real-time simulation
Lat 37°N·E_t = 300 lux
DAo ≥ 50%
DAo 30–50%
DAo < 30%
Daylight Factor
0.00%
⚠ Acceptable
DAo
0.0%
DAo.con
0.0%
DF → DAo performance curve
DAo
DAo.con
0501002%4%6%8%5%↑est.
DF — drag to simulate0.1% → 8%
Interactive Tool

DAo Calculator

Enter your Daylight Factor measurements to instantly compute DAo and DAo.con for up to 20 sensor points.

Avg DAo
0.0%
Avg DAo.con
0.0%
Points ≥ 50%
0
Points < 30%
0
Illuminance Threshold
illuminance target Et
lux
50300 · ref.1 000
Distance
from façade
DF
daylight factor
Result
01
m
%
Good
02
m
%
Good
03
m
%
Accept.
live · updates instantly
Results3 points
01DF 5.00%@ 0.3m
good
DAo0.0%
DAo.con0.0%
02DF 4.00%@ 1.5m
good
DAo0.0%
DAo.con0.0%
03DF 2.75%@ 3m
acceptable
DAo0.0%
DAo.con0.0%

Based on CIE Standard Overcast Sky · Lat 37°N · Schedule 08:00–17:00 · Threshold adjustable

Sensor map
live
drag → updates distance & DF · ref. curve Lat 37°N3 pts
1m2m3m04mFAÇADEdepth from façade65%DF 5.00%0.3 m54%DF 4.00%1.5 m37%DF 2.75%3.0 mDAo ≥ 50% goodDAo 30–50% okDAo < 30% crit.
E_t threshold0 lux
Core Concepts

Two Metrics. One Standard.

Both DAo and DAo.con use the CIE Standard Overcast Sky to evaluate daylighting performance independently of building orientation or location.

DAo

Overcast Daylight Autonomy

Measures the percentage of occupied time an indoor space reaches or exceeds the minimum illuminance threshold exclusively under overcast sky conditions.

hourly scoring — each hour: 0 or 1
08:00
0
09:00
0
10:00
1
11:00
0
12:00
0
13:00
1
14:00
1
15:00
0
16:00
0
17:00
1
18:00
0
19:00
0

Unlike traditional DA, DAo focuses on the most challenging scenario — the overcast sky. A DAo of 80% means that in 80% of occupied hours, the space has sufficient natural light without electric lighting.

binary
DAo.con

Continuous Overcast Daylight Autonomy

An advanced version that not only measures when the threshold is met but also accounts for the degree to which illuminance falls below it — providing a more nuanced evaluation.

hourly scoring — each hour: 0.0 → 1.0
08:00
0.2
09:00
0.6
10:00
1.0
11:00
0.8
12:00
0.3
13:00
1.0
14:00
1.0
15:00
0.9
16:00
0.4
17:00
1.0
18:00
0.7
19:00
0.6

Where DAo simply counts hours that meet the threshold, DAo.con weights each hour by how well it performs. A point achieving 150 lux against a 300 lux target contributes 0.5 instead of 0.

continuous
DAoDAo.con
Threshold behaviourBinary (0 or 1)Continuous (0 to 1)
Below-threshold penaltyNot countedPartial credit given
Use caseLighting control on/offDimming & smart control
SensitivityLowerHigher
360°
any orientation
Key Advantage

Orientation & Location Independent

Because both metrics are derived from the Daylight Factor — a static geometric ratio — they do not depend on building orientation or geographic location. This simplifies evaluation significantly, focusing purely on architectural design.

Data Visualization

Performance Curve

DAo and DAo.con as a function of Daylight Factor. Hover over the chart to explore values at any DF point.

DAo
DAo.con

Critical zone — DF below 1.5% gives DAo = 0%

DAo.con provides credit even below the DAo threshold

near window
DF = 5.00%
DAo64.6%
DAo.con79.7%
mid room
DF = 3.00%
DAo40.5%
DAo.con68.5%
3.9m depth
DF = 2.00%
DAo19.5%
DAo.con55.9%
DAo threshold
DF = 1.50%
DAo0.0%
DAo.con43.5%
Methodology

Scientific Foundation

Built on peer-reviewed research published in Leukos and Automation in Construction.

Calculation Formulas
Overcast Daylight Autonomy
DAo = 1N · Σ nᵢ

Fraction of occupied hours n_i where the indoor illuminance E_i (from Daylight Factor × outdoor overcast illuminance) meets or exceeds the threshold E_t.

Continuous Overcast Daylight Autonomy
DAo.con = 1N · Σ min(Eᵢ/Et, 1)

Weighted average where each occupied hour contributes min(E_i / E_t, 1), giving partial credit to hours that fall below the threshold.

Parameters
DFDaylight Factor — ratio of indoor to outdoor illuminance under overcast sky (%)
E_tIlluminance threshold — typically 300 lux for task lighting
E_iIndoor illuminance at hour i = DF × E_outdoor_overcast(i)
NTotal occupied hours in the analysis period
n_i1 if E_i ≥ E_t, 0 otherwise (for DAo)
References
2019

Overcast Daylight Autonomy: A new concept to link daylight dynamic metrics with daylight factors.

Acosta, I.; Campano, M. A.; Domínguez-Amarillo, S.; Fernández-Agüera, J.

Leukos 15(4), 254–269

2022

Dynamic analysis of office lighting smart controls management based on user requirements.

Campano, M. A.; Acosta, I.; Domínguez, S.; López-Lovillo, R.

Automation in Construction 133, 104021

2023

Continuous Overcast Daylight Autonomy (DAo.con): A New Dynamic Metric for Sensor-Less Lighting Smart Controls.

Acosta, I.; Campano, M. A.; Domínguez-Amarillo, S.; Navarro, J.

Leukos 19(3), 343–367

Developed by I. Acosta and M. A. Campano · University of Seville · 2025

Sky model

CIE Standard Overcast Sky

Uniformly overcast sky model. Luminance distribution: L(γ) ∝ (1 + 2 sinγ) / 3. Used as the reference sky for all calculations.

Input parameter

Daylight Factor

DF = Eᵢ / E₀ × 100%. Static ratio of indoor to outdoor illuminance under standard overcast sky. Orientation-independent.

Time basis

Annual Integration

Summed over all occupied hours (08:00–17:00, Mon–Fri, break excluded) across the typical meteorological year.