2. Working with Time Series

Measurements in the Wadden Sea (2/3)

We have seen on the previous page that the course of air and water temperatures and seawater salinity yields time series which appear rather independent of each other when viewed over a few days time. The observed short-term fluctuations become less relevant if data sets covering several years time are considered.

Data covering several years

The graph below shows the time series of temperature and salinity for the period of October 2002, when the Spiekeroog time series station was put into operation, until March 2009.

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time series 2002-2009
Time series of air (red curve) and seawater temperature (blue curve) and seawater salinity measured between October 2002 and March 2009. Marks at the time axis depict 1st of April and 1st of October of the year.

Data shown in the graph above were taken in 10 minutes intervals, and the graphs show all data which have been checked for accurateness with control measurements. The accuracy is ±0.1°C and ±0.01°C for air and seawater temperature, and ±0.2 psu for salinty. Gaps in the time series are due to failure of sensors or station computer.

At first glance, what do you think of this time series?

Obviously, it gives evidence that it is hot in summer and cold in winter; certainly not a big surprise! But air and water temperature curves are almost identical, this is probably not so clear beforehand. The salinity curve looks rather irregular over the years.

Questions: Time series over several years


Monthly averaged data covering several years

We are interested in an analysis of the time series data shown in the left column, to investigate if air and water temperatures are significantly changing over the years. For this purpose and with the aim to remove the short-term fluctuations shown on the previous page, the data set has been averaged over each calender month.

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monthly averaged data
Monthly averaged time series data of air (red curve) and seawater temperature (blue curve) and salinity measured between October 2002 and March 2009. Marks at the time axis depict 1st of February, 1st of June and 1st of October of the year.

At times of global warming we are curious to find out if a trend of rising temperatures can be made out in the data set. For this purpose, best fit straight lines were calculated for air and seawater temperature data in the period of October 2002 to March 2009 and plotted in the diagram (broken lines, blue: air temperature, red: water temperature). The regression lines depict an apparent temperature rise of 1.75°C in air and 1.22°C in water! This corresponds to 0.27°C and 0.19°C per year, respectively. Extremely high, in view of the global mean temperature rise of approx. 0.8°C between 1880 and 2007, as reported by the Intergovernmental Panel of Climate Change (IPCC)!

Questions: Varying temperatures

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