Shoreline development index

Lakes in Saskatchewan with varying shoreline development indices (islands included): Peter Pond - 1.5, Churchill - 4.1, Ile a la Crosse - 8.2

The shoreline development index of a lake is the ratio of the length of the lake's shoreline to the circumference of a circle with the same area as the lake.^[1] It is given in equation form as ${\textstyle D_{L}={\frac {L}{2{\sqrt {\pi A}}}}}$ , where ${\textstyle D_{L}}$ is shoreline development, $L$ is the length of the lake's shoreline, and $A$ is the lake's area. The index can also include the length of island shoreline, modifying the formula to ${\textstyle D_{L+L_{i}}={\frac {L+L_{i}}{2{\sqrt {\pi A}}}}}$ , where $L_{i}$ is the combined length of the lake's islands' shoreline.^[2] Shoreline development correlates strongly with lake area.^[3]

References

^ Aronow, Saul (1982). "Shoreline development ratio". Beaches and Coastal Geology. Springer US. pp. 754–755. ISBN 978-0-387-30843-2. Retrieved December 19, 2020. {{cite book}}: Invalid |ref=harv (help)
^ Rawson, D. S. (1960). "A Limnological Comparison of Twelve Large Lakes in Northern Saskatchewan". Limnology and Oceanography. 5 (2): 195–211. ISSN 0024-3590. Retrieved December 19, 2020. {{cite journal}}: Invalid |ref=harv (help)
^ Koshinsky, Gordon D. (1970). "The Morphometry of Shield Lakes in Saskatchewan". Limnology and Oceanography. 15 (5): 695–701. ISSN 0024-3590. Retrieved December 19, 2020. {{cite journal}}: Invalid |ref=harv (help)

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[1] Aronow, Saul (1982). "Shoreline development ratio". Beaches and Coastal Geology. Springer US. pp. 754–755. ISBN 978-0-387-30843-2. Retrieved December 19, 2020. {{cite book}}: Invalid |ref=harv (help)

[2] Rawson, D. S. (1960). "A Limnological Comparison of Twelve Large Lakes in Northern Saskatchewan". Limnology and Oceanography. 5 (2): 195–211. ISSN 0024-3590. Retrieved December 19, 2020. {{cite journal}}: Invalid |ref=harv (help)

[3] Koshinsky, Gordon D. (1970). "The Morphometry of Shield Lakes in Saskatchewan". Limnology and Oceanography. 15 (5): 695–701. ISSN 0024-3590. Retrieved December 19, 2020. {{cite journal}}: Invalid |ref=harv (help)

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