Sealevel.infoData → 270-041


Mean Sea Level at Venezia (Arsenale), Italy  (NOAA 270-041, PSMSL 87)

Warning! Javascript is disabled, or your web browser
is incompatible with Google Charts, so this page won't
display correctly. Try Google Chrome or Mozilla Firefox.

The mean sea level (MSL) trend at Venezia (Arsenale), Italy is 0.00 mm/year with a 95% confidence interval of ± 0.00 mm/year, based on monthly mean sea level data from ???? to ????. That is equivalent to a change of 0.00 feet in 100 years. (R‑squared = (?))

The plot shows the monthly mean sea level without the regular seasonal fluctuations due to coastal ocean temperatures, salinities, winds, atmospheric pressures, and ocean currents. By default, the long-term linear trend is also shown, in red, along with its 95% confidence interval. The plotted values are relative to the most recent Mean Sea Level datum established by NOAA CO-OPS.




Boxcar smoothing:           
Line weight:           

Graph from:
Calculate using:
Show MSL from:

Data source:      

Draw projection:     

Height: pixels (default 450).
Width:  pixels (default is determined by window width).
Or, to change graph width, resize browser window and click: 

Source: ? months from NOAA + ? months from PSMSL.

Click thumbnail here for a down­load­able, book­mark­able image (except in Internet Explorer or Microsoft Edge, use PrtScn, or see NOAA's version, or PSMSL's version.)

For thumbnail a simple explan­a­tion of the mean­ing of the 95% con­fi­dence & pre­dic­tion inter­val traces shown in the graph, see this two-minute instruc­tional video, by Dr. Gerard Verschuuren.

  y = B + M·x
  y = B + M·x mm
  y = B' + M·x + A·x²
  y = B + M·x + A·x² mm
  Date range = (1935) to (2015)
  x = (date - avg(date)(date)
  slope = M = ± mm/yr
  acceleration = 2·A = 2×A = ± mm/yr²

  linear trend = ± mm/yr
  acceleration = ± mm/yr²

To see precise values, hover your mouse cursor over the graph traces (or touch the graph on a touch-screen).

The JSON data file containing all data used to produce this page may be downloaded here (see documentation). To download the seasonally-adjusted monthly MSL data from NOAA in CSV format click here, or for unadjusted ("raw") data click here.

We also have a graph of just carbon dioxide (CO2) levels, and a combined graph of CO2 and CH4.

Calculation of Confidence Intervals and Prediction Intervals for monthly Mean Sea-Level (MSL) is complicated by the fact that MSL measurement data is serially autocorrelated. That means each month's MSL measurement is correlated, to an extent which varies by location, with the MSL measurements of the previous and next months. That means there are effectively fewer independent measurements, which would cause a naive confidence interval calculation to underestimate the breadth of the intervals. The code here follows the method of Zervas 2009, “Sea Level Variations of the United States 1854-2006,” NOAA Technical Report NOS CO-OPS 053 (or here), p. 15-24, to account for autocorrelation, when calculating confidence intervals and prediction intervals. That isn't the only way to do it, though, and one of the items on my to-do list is to examine alternative approaches.

I am grateful to the following data providers:

1. PSMSL data is from the Permanent Service for Mean Sea Level, retrieved 24 Jun 2024 from For documentation see: Simon J. Holgate, Andrew Matthews, Philip L. Woodworth, Lesley J. Rickards, Mark E. Tamisiea, Elizabeth Bradshaw, Peter R. Foden, Kathleen M. Gordon, Svetlana Jevrejeva, and Jeff Pugh (2013), “New Data Systems and Products at the Permanent Service for Mean Sea Level.” Journal of Coastal Research 29(3), pp. 493-504. doi:10.2112/JCOASTRES-D-12-00175.1.

© 2016-2024