TECHNICAL PAPERS
Sep 1, 1997

Extreme-Value Statistics for Frost Penetration Depths in Northeastern United States

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 123, Issue 9

Abstract

Extreme-value statistics for the maximum depth of soil freezing are developed based on model-derived soil freezing estimates for the northeastern United States. The model used is shown to be quite accurate at estimating the annual maximum depth of soil freezing using only daily air temperature, snow depth, and precipitation data. These data are available from a relatively dense network of climatological observing stations, permitting the development of a regional climatology of extreme soil freezing levels. The performance of a suite of theoretical probability distributions for representing the resulting distributions of extreme soil freezing depths is also investigated, and the Gumbel distribution is chosen to provide the best regional representation of soil freezing extremes. The results suggest that maximum soil freezing levels within the northeastern United States are found across eastern Maine and north-central Pennsylvania. South of these areas, freezing levels decrease because of warmer temperatures, while to the north decreases in the depth of maximum soil freezing can be attributed to deeper and more persistent snow cover. The results provide physically based information for establishing building codes that rely on soil freezing information.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Aldrich, H. P., and Paynter, H. M. (1953). “Analytical studies of freezing and thawing of soils.”Tech. Rep. 42, First Interim Rep., U.S. Army Corps of Engrs., New England Div., Arctic Constr. and Frost Effects Lab. (ACFEL), Boston, Mass.
2.
Cary, J. W., Campbell, G. S., and Papendick, R. I.(1978). “Is the soil frozen or not? An algorithm using weather records.”Water Resour. Res., 14(6), 1117–1122.
3.
Cember, R. P., and Wilks, D. S. (1993). “Climatological atlas of snowfall and snow depth for the northeastern United States and southeastern Canada.”Publ. RR 93-1, Northeast Regional Climate Ctr., Cornell Univ., Ithaca, N.Y.
4.
Clare, F., and Kennison, D. (1989). “NCAR graphics guide to new utilities.”Rep., Nat. Ctr. for Atmospheric Res., Boulder, Colo.
5.
Crandell, J. H., Lund, E. M., Bruen, M. G., and Nowak, M. S. (1994). “Design guide for frost-protected shallow foundations.”Rep., Nat. Homebuilders Assoc. Res. Ctr., Upper Marlboro, Md.
6.
DeGaetano, A. T., Eggleston, K. L., and Knapp, W. W.(1995). “A method to estimate missing daily maximum and minimum temperature observations.”J. Appl. Meteor., 34(2), 371–380.
7.
DeGaetano, A. T., Wilks, D. S., and McKay, M.(1996). “A physically-based model of soil freezing in humid climates using air temperature and snow cover data.”J. Appl. Meteor., 35(6), 1009–1027.
8.
Flerchinger, G. N., and Saxton, K. E.(1989). “Simultaneous heat and water model of a snow-residue-soil system—I. Theory and development.”Trans. ASAE, 32(2), 565–571.
9.
Gel'fan, A. N.(1989). “Comparison of two methods of calculating soil freezing depth.”Soviet Meteorology and Hydro., 2, 78–83.
10.
Gumbel, E. J.(1941). “The return period of flood flows.” Ann. Math. Statistics, 12(2), 163–190.
11.
Guymon, G. L., Berg, R. L., and Hromadka, T. V. (1993). “Mathematical model of frost heave and thaw settlement in pavements.”Rep. 93-2, U.S. Army Corps of Engrs., Cold Regions Res. & Engrg. Lab. (CCREL), Hanover, N.H.
12.
Hosking, J. R. M. (1991). “FORTRAN routines for use with the method of L-moments.”Res. Rep. RC-17097, IBM Corp., Yorktown Heights, N.Y.
13.
Hosking, J. R. M., and Wallace, J. R.(1993). “Some statistics useful in regional frequency analysis.”Water Resour. Res., 29(2), 271–281.
14.
Houghton, J. C.(1978). “Birth of a parent: The Wakeby distribution for modeling flood flows.”Water Resour. Res., 14(5), 1105–1109.
15.
McLain, D. H.(1974). “Drawing contours from arbitrary data points.”Comp. J., 17(3), 318–324.
16.
Ricard, J. A., Tobiasson, W., and Greatorex, A. (1976). “The field assembled frost gage.”Tech. Note, U.S. Army Corps of Engrs. Cold Regions Res. and Engrg. Lab., Hanover, N.H.
17.
Robinson, D. A. (1993). “Historical daily climatic data for the United States.”Preprints Am. Meteorological Soc. (AMS) 8th Conf. on Appl. Climatology, Boston, Mass., 264–269.
18.
Schmidlin, T. W., Edgell, D. J., and Delaney, M. A.(1992). “Design ground snow loads for Ohio.”J. Appl. Meteor., 31(6), 622–627.
19.
Simiu, E., Filliben, J. J., and Shaver, J. R.(1982). “Short-term records and extreme wind speeds.”J. Struct. Div., ASCE, 108(12), 2571–2577.
20.
United States Department of Agriculture (USDA). (1941). Climate and man, yearbook of agriculture 1941. Washington, D.C.
21.
Wilks, D. S.(1990). “Maximum likelihood estimation for the gamma distribution using data containing zeros.”J. Climate, 3(12), 1495–1501.
22.
Wilks, D. S.(1993). “Comparison of three-parameter probability distributions for representing annual extreme and partial duration precipitation series.”Water Resour. Res., 29(10), 3543–3549.
23.
Wilks, D. S. (1995). Statistical methods in the atmospheric sciences. Academic Press, San Diego, Calif.
24.
Wilks, D. S., and McKay, M.(1996). “Extreme-value statistics for snowpack water equivalent in the northeastern United States using the cooperative observer network.”J. Appl. Meteor., 35(5), 706–713.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 123Issue 9September 1997
Pages: 828 - 835

History

Published online: Sep 1, 1997
Published in print: Sep 1997

Permissions

Request permissions for this article.

Authors

Affiliations

Arthur T. DeGaetano
Sr. Res. Assoc., Northeast Regional Climate Ctr., Cornell Univ., Ithaca, NY 14853.
Daniel S. Wilks
Assoc. Prof., Dept. of Soil Crop and Atmospheric Sci., Cornell Univ., Ithaca, NY.
Megan McKay
Res. Sup. Specialist, Northeast Regional Climate Ctr., Cornell Univ., Ithaca, NY.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share