LIGHT
COVERAGE ON COLBY COLLEGE CAMPUS
Meghan
Cornwall ’11 and Francis Gassert ’11
ES212:
Introduction to GIS and Remote Sensing
Environmental
Studies Program,
Abstract
Outdoor
lighting is an essential component for nighttime safety on college campuses.
Outdoor lighting on
Introduction
Campus
safety is a major concern to all members of a college community. Lighting is a
critical aspect of nighttime safety, which is of highest importance on commonly
used walkways. However, there are numerous costs to lighting, including
electrical consumption and light pollution. In addition, low light areas may be
strategically placed to constrain movement. The Colby Physical Plant Department
designed and manages the outdoor light scheme on
More
specifically, the purpose of this project was to ask if and where major
walkways on Colby College campus are inadequately lit. We used GIS to analyze
outdoor light patterns on campus, including buildings and elevation differences
that may block light.
Methods
We
used ESRI’s ArcGIS software to perform the analysis. Our analysis has two main
questions: first, where does each lamp’s light hit; and second, how much is the
ground illuminated? To answer the first question, we used a viewshed analysis.
Viewshed uses an elevation map to determine what can be seen by an observer at
a given location. We combined the digital elevation maps of
Next,
we determined how much each lamp lights up the area around it. Illuminance, the
amount of light hitting a flat surface from a single light source, is
determined by the following formula:
[1]
Where
i is illuminance, l is luminous intensity of the light
source, d is the distance from the
light source and q is the difference between the normal angle of the
surface and the angle of the light. Since the surfaces of people and objects
are complex, not flat, and surface properties affect the diffusion of light, we
chose to eliminate the angle coefficient. Assuming that any lit surface is
normal to the light source (q =0) effectively simplified the equation to:
.
Luminous
intensity is measured in candela; however, the Physical Plant Department data
only stated each lamp type, bulb type, and power. We used this information to
look up the light output for an industry equivalent bulb of the given type and
power. Unfortunately industry standards only reports lumens. Lumens measure the
total light output whereas candela measures the output in any given direction.
To simplify the conversion between lumens and candela we made two assumptions.
First, we assumed that the light bulbs emit light evenly in all directions;
second, we assumed that lamp housings are completely reflective, such that
light is emitted evenly in a cone. If this is true, we can divide lumens by the
measure of the cone of emittance in steradians to get candela. The measure of
steradians in a cone of apex angle 2q is
determined with the formula
[1]. Then we determined distance using a three
dimensional distance formula (demonstrated in Figure 2). This gives us how much
light the lamp spreads at any distance (Figure 3).
Because
we needed a viewshed and illuminance analysis for each lamp, we decided to use
a Python module to perform the analysis rather than manually processing all 322
lamps. The module performed a viewshed for each lamp. Next, it calculated
illuminance for all areas hit by the lamp by taking the distance from each lamp
and then applying the formula discussed above. The module then sums the
illuminance outputs resulting in an aggregate light map of campus.
Finally,
we used an aerial photograph of campus to highlight the major walkways. We took
the light map outputted by the python module, and overlaid it with our path
data to compare the light levels and major walkways.
Results
Figure
4 shows the darkest 10% of paths on campus, and highlights areas below an
equivalent illuminance threshold of 2.76 Lux. From the resulting light map we
identified the five focus areas over the dark paths, labeled a-e. Figure 5
includes an aerial photograph of campus.
Discussion
This
study shows the illuminance on campus based on outdoor light posts only. Much
of the campus is also lit by building mounted lamps or indoor lighting.
Furthermore, this study does not include trees and bushes. Therefore, when
interpreting the light map, one can expect that areas near buildings are
actually brighter than portrayed, while other areas may be darker.
Additionally, when estimating light’s affect on safety, open clearings require
less light. Area a, the academic quad, is minimally lit, but its light level may
still be considered safe because it is an open field. Area b and d
are dimly lit in our analysis, but they are actually additionally lit by lights
mounted on the surrounding buildings. Area c is also partially lit by building
mounted lights, though it did not appear as bright through empirical observation.
Area e
leads to the athletic fields, so when the fields are in use, the field lights
light up the pathway. Most of the other highlighted paths were also near
buildings. Furthermore, we were unable to determine a definition for inadequate
and adequate light levels; the map merely shows what is lighter and what is
darker. It is important to take all these factors into consideration when
reading the map.
We
did not include trees and building mounted lights primarily because of data
availability. In addition, modeling trees’ affect on light is difficult due to
their complex shape and seasonal variation. Nonetheless, the model is built in
such a way that additional light sources can be easily included, and if a
simple model for trees was created, trees could be included as additional
blocking structures.
Taking
into consideration its assumptions and limitations, this model can be used to
assist in placement of future lights. In addition to identifying which areas on
campus are the darkest, it can be used to identify areas where there may be
more light than necessary.
Conclusion
Although
we were unable to define inadequate lighting, we successfully identified
lightest and darkest areas on campus based on our available data. From this we
identified five main dark areas, usually in open spaces. In addition, many
other dark areas were near buildings where mounted lights and/or indoor lights
would shine. Because of the complexity of designing a lighting system, this
project focuses on the current outdoor light levels. It is not intended to
dictate lighting design rather to be used as a reference tool.
References
[1]Angelo, Joseph A. The Dictionary of Space
technology, 2nd edition. Facts on File: New York. 1999.
[2]Buylighting.com <www.buylighting.com>. 2009.
4/12/2009.
[3]Colby College Physical Plant Department,
Personal Interview. 4/3/2009.
Acknowledgements
We
would like to acknowledge the following people. First of all we would like to
thank Gordon Cheesman and Andy Gockel with the Physical Plant Department at
Colby for providing the lamp data including the AutoCAD drawings and lamp
attributes. We would like to thank Manny Gimond and Philip Nyhus for all of
their guidance with the GIS. We would also like to thank the Oak Foundation.
Figures:

Figures
1, 2, and 3. Demonstrations of viewshed, distance, and illuminance calculations
on a single lamp, respectively.

Figure
4. Illuminance map highlighting the 10% darkest paths on campus and areas below
an equivalent illuminance threshold (2.76 Lux). The five focus areas are shown.

Figure
5. Outdoor light levels overlaying an aerial photograph.