Outdoor Lighting and Crime - Amper
Outdoor Lighting and Crime - Amper
Outdoor Lighting and Crime - Amper
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TDU = 0.15 S + 0.5 A + 0.1 V.<br />
The total upward flux reflected from the built environment TRU is the total downwards flux<br />
multiplied by the effective reflectance of the terrain, RT:<br />
TRU = (0.85 S + 0.5 A + 0.9 V) RT.<br />
The total upward flux is<br />
TU = TDU + TRU.<br />
As an estimate of typical conditions, put A = 0.3 S <strong>and</strong> V= 0.1 S. Then the total upward flux<br />
becomes<br />
TU = (0.31 + 1.09 RT ) S.<br />
But the total flux emitted by all sources, T, is given by<br />
T = S + A + V, ie 1.4 S.<br />
Therefore the fraction of total flux that is directed upward, the Upward Fraction UF is<br />
UF = TU / T = 0.221 + 0.779 RT.<br />
As a check, UF = 1 when RT = 1. This indicates, correctly, that with a perfectly reflecting<br />
terrain, all emitted light would eventually travel in directions above the horizontal.<br />
A typical value for RT in a city is about 0.1. This results in 29.9% of the total light being<br />
radiated above the horizontal, consistent with the fraction (1/3) generally thought typical with<br />
present inefficient lighting practices. Of the Upward Fraction in this example, 0.221/0.299 or<br />
74% consists of light directly radiated above the horizontal from the light sources, ie unused<br />
light waste. The remainder is used light waste. This is consistent with the impression that the<br />
light seen in close city views from aircraft at night mostly comes directly from luminaires,<br />
unshielded lamps, undraped windows <strong>and</strong> illuminated signs rather than from illuminated areas<br />
such as paved surfaces, walls <strong>and</strong> vegetation.<br />
If all such upward unused waste light were absorbed by a hypothetical instant installation of<br />
full-cutoff shields (somewhat impracticably including all advertising signs, floodlit structures<br />
etc.), then skyglow would be reduced immediately to 26% of its former value, all else<br />
remaining unchanged. Given that skyglow is typically increasing by about 10% or more a<br />
year, it would take only about 14 years or less for the skyglow to reattain its previous value.<br />
The exponential growth would then resume its increase beyond the level it was at when<br />
interrupted by the full-cutoff transformation. This is why a permanent solution to the<br />
skyglow problem must involve m<strong>and</strong>atory caps on total outdoor light flux or energy use as<br />
well as restrictions on direct light emission above the horizontal.<br />
If the instant shielding introduction were restricted to streetlights, the immediate reduction in<br />
skyglow would be to 0.107/0.299 or to 36%. This would give less than 5 years of respite<br />
from the growth of skyglow. The time would be even shorter if the mean terrain reflectance<br />
were higher than 0.1, eg 4 years if RT = 0.15.<br />
The Upward Fraction is shown in the following table for various values of RT, along with the<br />
ratio of UF to its value for RT = 0.1. This ratio shows how increased values of RT would<br />
increase the upward flux measured by a satellite.<br />
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