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Addressing Bias in Snow Water Equivalent Measurements

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Addressing Bias in Snow Water

Equivalent Measurement

Methods

Jordan French

Special Acknowledgments to:

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What is the significance of snow?

 Largest precipitation type in northwestern US

https://imagesus-ssl.homeaway.com/mda01/eea58316-8e6e-4176-b574-5d9ca4d59406.1.10/Medicine-Bow-Peak-a-winter-wonderland.jpg

http://travellogs.us/2009%20Logs/Wyoming%202009/09-45%20Wheatland/IMG_5649haypppp.JPG

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Snowfall Measurement Methods

 Snotel

 Hotplate snow gauge

 Manual “snowboard” method

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Project in upstate NY Lake snow effects

 Discrepancy between methods

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Hypotheses

1. The scale measurement of weight (precision ± 0.3 %) agrees with the value of a standard weight - within measurement error - and this agreement is apparent regardless of temperature.

2. The manual method measurement of SWE compares well with the hotplate measurement of SWE.

 Objective: Improved confidence in snowfall measurements is expected to result from this research

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Weighing Precision

 Mean: ҧ𝑥𝑝 = 1 𝑁 ෍ 𝑁=1 10 𝑥𝑖 where 𝑥𝑖 = 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑚𝑒𝑛𝑡 𝑜𝑓 𝑤𝑒𝑖𝑔ℎ𝑡  Standard Deviation: ҧ𝑥 𝐴 = 1 𝑁 ෍ 𝑁=1 10 (𝑥𝑖−𝑥0)  Relative Precision: 𝜎𝑃 ҧ𝑥

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Weighing Accuracy

 Average departure from reference: ҧ𝑥 𝐴 = 1 𝑁 ෍ 𝑁=1 10 (𝑥𝑖−𝑥0) Standard Deviation of departure:

𝜎𝐴 = 1 𝑁 − 1 ෍ 𝑁=1 10 (𝑥𝑖 − 𝑥0)2 where 𝑥0 = 𝑟𝑒𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑚𝑎𝑠𝑠

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Snow Water Equivalent Measurement

Procedure

1. Single snow event

2. Extract snow core with tube 3. Determine weight of snow

𝑆𝑊𝐸 = 𝑚𝑠𝑛𝑜𝑤Τ𝜌𝐻2𝑂 ∗ ( Τ1 𝐴) 𝜌 = 𝑆𝑊𝐸ൗ𝑑 ∗ (𝜌𝐻2𝑂)

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Snowboard Method Results

Tube 1 Tube 2 Tube 3

Snow Depth (mm) 20 20 20 SWE (mm) 0.448 0.442 1.329 ρ (kg/m^3) 22.384 22.090 66.452

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Conclusion

 More fieldwork to be done

https://www.nps.gov/romo/images/lg_melt.jpg

http://tedmuller.us/Outdoor/Hiking/2012/2012img/Aug02/37.jpg

References

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