View source for Characteristic Numbers of Temperature (independent of tides)

[[de: Tideunabhängige Kennwerte der Temperatur]]
[[category:Characteristic Numbers (independent of the presence of tides)]]
A graphic sketch for the definition of the various tidal characteristic numbers of temperature is not available. Due to the fact that they are defined in complete analogy to salinity we do refer here to the respective [[Characteristic Numbers of Salinity (independent of tides)|graphical representations of the characteristic numbers of salinity]] (independent of tides) for further insight. 

==Motivation==
Calculation and graphic display of several tide-independent characteristic numbers of temperature can yield additional insight into temperature related phenomena of natural coastal and/or inland waters. In contrast to the computation of the [[Tidal Characteristic Numbers of Temperature|tidal characteristic numbers of temperature]] the tide-independent numbers can be preferable used for

* natural waters which are not dominated by the tides, e.g. like the coastal waters and estuaries along the Baltic Sea coast of Germany, or in
* extreme situations, like for example periods of high or low fresh water runoff, when temperature may deviate strongly from the average (tide-dominated) conditions, as well as for the
* determination of characteristic values of temperature for an arbitrary long (or short) period of time. 

In particular there are several useful applications possible for this type of data analysis:
* In addition to informations about the highest and lowest temperature values which occur during an arbitrary period one can calculate also the maximum temperature difference for this time span. This is a good indicator for the natural variability of temperature.
* Maximum values for the (rate of) increase and (rate of) decrease of temperature are an additional measure for the characterization of e.g. extreme runoff situations.
* From the computed times for the duration of high temperature and the duration of low temperature one can draw conclusions with respect to the impact of temperature on organisms living in the water or along the beaches.
* The variance of the time-dependent temperature evolution with respect to mean temperature can be used as an indicator for the dynamics of a natural water system. 

'''An automatic analysis of all tide-independent characteristic numbers of temperature is carried through by the computer programs [[LZKSF]] and [[NCANALYSE]].'''

==Definitions for the Tide-Independent Characteristic Numbers of Temperature==

===Program [[NCANALYSE]]===

====Maximum Value of Temperature====
Highest (local) value of temperature within the period of data analysis.<br />
<!-- [[Example figures: maximum value of temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Minimum Value of Temperature====
Lowest (local) value of temperature within the period of data analysis.<br />
<!-- [[Example figures: minimum value of temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Mean Value of temperature====
Mean value of temperature  within the period of data analysis.<br />
<!-- [[Example figures: mean value of temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Maximum Temperature Difference====
Difference in temperature between maximum and minimum value within the period of data analysis.<br />
<!-- [[Example figures: maximum temperature difference]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Standard Deviation of Temperature====
Standard deviation of temperature within the period of data analysis.<br />
Computed for permanently flooded areas only.<br />
<!-- [[Example figures: standard deviation of temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Variance of Temperature====
Variance of temperature within the period of data analysis.<br />
Computed for permanently flooded areas only.<br />
<!-- [[Example figures: variance of temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Duration of High Temperature====
Time span for which temperature lies ''above'' a certain threshold within an arbitrary period of time.<br />
<!-- [[Example figures: duration of high temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Duration of Low Temperature====
Time span for which temperature lies ''below'' a certain threshold within an arbitrary period of time.<br />
<!-- [[Example figures: duration of low temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Relative Frequency Distribution of Temperature====
Relative frequency of temperature within given temperature intervals.<br />
<!-- [[Example figures: relative frequency distribution of temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Cumulative Frequency Distribution of Temperature====
Cumulative frequency of temperature within given temperature intervals.<br />
<!-- [[Example figures: cumulative frequency distribution of temperature]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Exceedance Frequency of Temperature Limits====
Exceedance frequency of temperature limits within the period of data analysis.<br />
<!-- [[Example figures: exceedance frequency of temperature limits]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Underflow Frequency of Temperature Limits====
Underflow frequency of temperature limits within the period of data analysis.<br />
<!-- [[Example figures: underflow frequency of temperature limits]]. <br /> -->
Data analysis: [[NCANALYSE]].

====Quantiles of Temperature====
Temperature value of a time series which is not exceeded of a certain percentage of temperature values in the serie. <br />
Computed for permanently flooded areas only.<br />
<!-- * a) [[Example figures: median of temperature Q_0.50]] -->
<!-- * b) [[Example figures: quantiles of temperature Q_0.01, Q_0.05, Q_0.95, Q_0.99]] -->
Data analysis: [[NCANALYSE]].

===Program [[LZKSF]]===

====Maximum Value of Temperature====
Highest value of temperature within an arbitrary period of time.<br />
Example: not available.

====Minimum Value of Temperature====
Lowest value of temperature within an arbitrary period of time.<br />
Example: not available.

====Mean Value of Temperature====
Arithmetic mean of temperature for an arbitrary period of time.<br />
Example: not available.

====Maximum Emperature Difference====
Difference in temperature between highest and lowest temperature for an arbitrary period of time.<br />
Example: not available.

====Maximum (Rate of) Increase of Temperature====
Maximum increase of temperature (within one hour) within an arbitrary period of time.<br />
Example: not available.

====Maximum (Rate of) Decrease of Temperature====
Maximum decrease of temperature (within one hour) within an arbitrary period of time.<br />
Example: not available.

====Standard Deviation of Temperature====
Standard deviation of temperature with respect to the mean value of temperature within an arbitrary period of time.<br />
Example: not available.

====Variance of Temperature====
Variance of temperature with respect to the mean value of temperature within an arbitrary period of time.<br />
Example: not available.

====Duration of high temperature====
Period of time during which temperature lies above a specific threshold for temperature.<br />
Example: not available.

====Duration of low temperature====
Period of time during which temperature lies below a specific threshold for temperature.<br />
Example: not available. 

====Advective Heat Transport====
Amount of heat, which is transported through a cross section over a period of time.<br />
Example: not available. 

====Mean Advective Heat Transport====
Mean value of heat transport within a period of time.<br />
Example: not available. 

====Maximum Advective Heat Transport====
Highest value of heat transport within a period of time.<br />
Example: not available. 

====Minimum Advective Heat Transport====
Lowest value of heat transport within a period of time.<br />
Example: not available. 



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