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The Nonlinear Pattern of Sea Levels: A Case Study of North America

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Nonlinear Approaches in Engineering Applications


Here I analyze the relative sea level signals from the tide gauges of North America. Linear and parabolic fittings are used to compute relative rates of rise and accelerations. There are 20 long-term-trend (LTT) tide gauges along the (Pacific) West Coast of North America. The average relative rate of rise is −0.38 mm/year, and the average acceleration is +0.0012 mm/year2. There are 33 LTT tide gauges of the (Atlantic) East Coast of North America. The average relative sea level rise is 2.22 mm/year, and the average acceleration is +0.0027 mm/year2.

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  1. Chambers, D., Merrifield, M. A., & Nerem, R. S. (2012). Is there a 60-year oscillation in global mean sea level? Geophysical Research Letters, 39, 18.

    Article  Google Scholar 

  2. Schlesinger, M., & Ramankutty, N. (1994). An oscillation in the global climate system of period 65-70 years. Nature, 367, 723–726.

    Article  Google Scholar 

  3. Galloway, D. L., Jones, D. R. & Ingebritsen, S. E. (1999). Land subsidence in the United States (Vol. 1182). United States Geological Survey. Retrieved from

  4. Galloway, D. L., Bawden, G. W., Leake, S. A., & Honegger D. G. (2008). Land subsidence hazards. In R. L. Baum, D. L. Galloway, & E. L. Harp (Eds.), Landslide and land subsidence hazards to pipelines (chapter 2). U.S. Geological Survey Open-File Report 2008-1164. Retrieved from

  5. National Research Council. (1991). Mitigating losses from land subsidence in the United States (58p). Washington, DC: National Academy Press.

    Google Scholar 

  6. Davis, G. H. (1987). Land subsidence and sea level rise on the Atlantic Coastal Plain of the United States. Environmental Geology and Water Sciences, 10(2), 67–80.

    Article  Google Scholar 

  7. Johnson, D. W. (1917). Is the Atlantic coast sinking? Geographical Review, 3(2), 135–139.

    Article  Google Scholar 

  8. Karegar, M. A., Dixon, T. H., & Engelhart, S. E. (2016). Subsidence along the Atlantic Coast of North America: Insights from GPS and late Holocene relative sea level data. Geophysical Research Letters, 43(7), 3126–3133.

    Article  Google Scholar 

  9. United States Geological Survey. (2000). Land subsidence in the United States. United States Geological Survey Fact Sheet-087-00. Retrieved from

  10. Galloway, D. L., & Sneed, M. (2013). Analysis and simulation of regional subsidence accompanying groundwater abstraction and compaction of susceptible aquifer systems in the USA. Boletín de la Sociedad Geológica Mexicana, 65(1), 123–136.

    Article  Google Scholar 

  11. Blewitt, G., Kreemer, C., Hammond, W. C., & Gazeaux, J. (2016). MIDAS robust trend estimator for accurate GNSS station velocities without step detection. Journal of Geophysical Research, 121.

    Google Scholar 

  12. Wöppelmann, G., & Marcos, M. (2016). Vertical land motion as a key to understanding sea level change and variability. Reviews of Geophysics, 54(1), 64–92.

    Article  Google Scholar 

  13. Houston, J. R., & Dean, R. G. (2011). Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. Journal of Coastal Research, 27, 409–417.

    Article  Google Scholar 

  14. Boretti, A. (2012). Short term comparison of climate model predictions and satellite altimeter measurements of sea levels. Coastal Engineering, 60, 319–322.

    Article  Google Scholar 

  15. Boretti, A. (2012). Is there any support in the long term tide gauge data to the claims that parts of Sydney will be swamped by rising sea levels? Coastal Engineering, 64, 161–167.

    Article  Google Scholar 

  16. Parker, A. (2013). Sea level trends at locations of the United States with more than 100 years of recording. Natural Hazards, 65(1), 1011–1021.

    Article  Google Scholar 

  17. Parker, A., & Ollier, C. D. (2017). California sea level rise: Evidence based forecasts vs. model predictions. Ocean & Coastal Management, 149, 198–209.

    Article  Google Scholar 

  18. Parker, A., & Ollier, C. D. (2017). Short-term tide gauge records from one location are inadequate to infer global sea-level acceleration. Earth Systems and Environment, 1(2), 17.

    Article  Google Scholar 

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Boretti, A. (2020). The Nonlinear Pattern of Sea Levels: A Case Study of North America. In: Jazar, R., Dai, L. (eds) Nonlinear Approaches in Engineering Applications. Springer, Cham.

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