Part 3: How light fades in water

The filtering effect of water described above implies that light intensity decreases as light travels through water. We can predict this effect with a relationship called the light extinction equation:

Id = I0 e-kd

This formula says that the intensity of light at the surface of the ocean (I0) will decay at an exponential rate as depth (d) increases. The constant controlling this decay rate is the clarity of the water (k). When water is very clear, k will be small; when water contains silt or plankton, k will be larger and less light will get through.

The information we have is enough to calculate k for any of the days where light measurements were taken at the Mobil platform and at the bottom sensors. When we plot k instead of the light intensities, it is easier to see the changes in water clarity over time.

Can you rearrange the light extinction equation to calculate k ? (Click for answer.)

The graph at right shows a marked decrease in water clarity (high k values) during the summer months. Because corals depend on light, these kinds of measurements are important for monitoring the health of the reef ecosystem.

  Why would water clarity decrease during the summer? What could have happened in the middle of August to abruptly increase water clarity? (Click for discussion.)

 

This graph shows how the water over the East Flower Garden Bank filters out light at different times of the year.

The color of water
Light in water
How light fades in the water

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Page updated 4/24/98
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