## Characteristic Numbers of Tracer Load (independent of tides)

### From BAWiki

A graphic sketch for the definition of the various characteristic numbers of tracer load is not available. Due to the fact that they are defined in complete analogy to salinity we do refer here to the respective graphical representations of the characteristic numbers of salinity (independent of tides) for further insight.

## Contents

- 1 Motivation
- 2 Definitions for the tide-independent characteristic numbers of tracer concentration
- 2.1 Program NCANALYSE
- 2.1.1 Maximum Value of Tracer
- 2.1.2 Minimum Value of Tracer
- 2.1.3 Mean Value of Tracer
- 2.1.4 Maximum Tracer Difference
- 2.1.5 Standard Deviation of Tracer
- 2.1.6 Variance of Tracer
- 2.1.7 Duration of High Tracer
- 2.1.8 Duration of Low Tracer
- 2.1.9 Relative Frequency Distribution of Tracer
- 2.1.10 Cumulative Frequency Distribution of Tracer
- 2.1.11 Exceedance Frequency of Tracer Limits
- 2.1.12 Underflow Frequency of Tracer Limits
- 2.1.13 Quantiles of Tracer

- 2.2 Program LZKSF
- 2.3 Maximum Variation of Tracer Load=
- 2.3.1 Maximum (Rate of) Increase of Tracer Load
- 2.3.2 Maximum (Rate of) Decrease of Tracer Load
- 2.3.3 Standard Deviation of Tracer Load
- 2.3.4 Variance of Tracer Load
- 2.3.5 Duration of High Tracer Load
- 2.3.6 Duration of Low Tracer Load
- 2.3.7 Advective Tracer Transport
- 2.3.8 Mean Advective Tracer Transport
- 2.3.9 Maximum Advective Tracer Transport
- 2.3.10 Minimum Advective Tracer Transport

- 2.1 Program NCANALYSE

## Motivation

Calculation and graphic display of several tide-independent characteristic numbers of tracer concentration can yield additional insight into tracer concentration related phenomena of natural coastal and/or inland waters. In contrast to the computation of the tidal characteristic numbers of tracer concentration 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 tracer concentration may deviate strongly from the average (tide-dominated) conditions, as well as for the
- determination of characteristic values of tracer concentration 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 tracer concentration values which occur during an arbitrary period one can calculate also the maximum tracer concentration difference for this time span. This is a good indicator for the natural variability of tracer concentration.
- Maximum values for the (rate of) increase and (rate of) decrease of tracer concentration are an additional measure for the characterization of e.g. extreme runoff situations.
- From the computed times for the duration of high tracer concentration and the duration of low tracer concentration one can draw conclusions with respect to the impact of tracer concentration on organisms living in the water or along the beaches.
- The variance of the time-dependent tracer concentration evolution with respect to mean tracer concentration can be used as an indicator for the dynamics of a natural water system.

**An automatic analysis of all tide-independent characteristic numbers of tracer concentration is carried through by the computer programs LZKSF and NCANALYSE.**

## Definitions for the tide-independent characteristic numbers of tracer concentration

### Program NCANALYSE

#### Maximum Value of Tracer

Highest (local) value of tracer within the period of data analysis.

Example figures: maximum value of tracer.

Data analysis: NCANALYSE.

#### Minimum Value of Tracer

Lowest (local) value of tracer within the period of data analysis.

Example figures: minimum value of tracer.

Data analysis: NCANALYSE.

#### Mean Value of Tracer

Mean value of tracer within the period of data analysis.

Example figures: mean value of tracer.

Data analysis: NCANALYSE.

#### Maximum Tracer Difference

Difference in tracer between maximum and minimum value within the period of data analysis.

Example figures: maximum tracer difference.

Data analysis: NCANALYSE.

#### Standard Deviation of Tracer

Standard deviation of tracer within the period of data analysis.

Computed for permanently flooded areas only.

Example figures: standard deviation of tracer.

Data analysis: NCANALYSE.

#### Variance of Tracer

Variance of tracer within the period of data analysis.

Computed for permanently flooded areas only.

Example figures: variance of tracer.

Data analysis: NCANALYSE.

#### Duration of High Tracer

Time span for which tracer lies *above* a certain threshold within an arbitrary period of time.

Example figures: duration of high tracer.

Data analysis: NCANALYSE.

#### Duration of Low Tracer

Time span for which tracer lies *below* a certain threshold within an arbitrary period of time.

Example figures: duration of low tracer.

Data analysis: NCANALYSE.

#### Relative Frequency Distribution of Tracer

Relative frequency of tracer within given tracer intervals.

Example figures: relative frequency distribution of tracer.

Data analysis: NCANALYSE.

#### Cumulative Frequency Distribution of Tracer

Cumulative frequency of tracer within given tracer intervals.

Example figures: cumulative frequency distribution of tracer.

Data analysis: NCANALYSE.

#### Exceedance Frequency of Tracer Limits

Exceedance frequency of tracer limits within the period of data analysis.

Example figures: exceedance frequency of tracer limits.

Data analysis: NCANALYSE.

#### Underflow Frequency of Tracer Limits

Underflow frequency of tracer limits within the period of data analysis.

Example figures: underflow frequency of tracer limits.

Data analysis: NCANALYSE.

#### Quantiles of Tracer

Tracer value of a time series which is not exceeded of a certain percentage of tracer values in the serie.

Computed for permanently flooded areas only.

Example figures: quantiles of tracer Q_0.05, Q_0.50, Q_0.95.

Data analysis: NCANALYSE.

### Program LZKSF

#### Maximum Value of Tracer Load

Highest value of tracer concentration within an arbitrary period of time.

Example: not available.

#### Minimum Value of Tracer Load

Lowest value of tracer concentration within an arbitrary period of time.

Example: not available.

#### Mean Value of Tracer Load

Arithmetic mean of tracer concentration for an arbitrary period of time.

Example: not available.

### Maximum Variation of Tracer Load=

Difference in tracer concentration between highest and lowest tracer concentration for an arbitrary period of time.

Example: not available.

#### Maximum (Rate of) Increase of Tracer Load

Maximum increase of tracer concentration (within one hour) within an arbitrary period of time.

Example: not available.

#### Maximum (Rate of) Decrease of Tracer Load

Maximum decrease of tracer concentration (within one hour) within an arbitrary period of time.

Example: not available.

#### Standard Deviation of Tracer Load

Standard deviation of tracer concentration with respect to the mean value of tracer concentration within an arbitrary period of time.

Example: not available.

#### Variance of Tracer Load

Variance of tracer concentration with respect to the mean value of tracer concentration within an arbitrary period of time.

Example: not available.

#### Duration of High Tracer Load

Period of time during which tracer concentration lies above a specific threshold for tracer concentration.

Example: not available.

#### Duration of Low Tracer Load

Period of time during which tracer concentration lies below a specific threshold for tracer concentration.

Example: not available.

#### Advective Tracer Transport

Tracer volume, which is transported through a cross section over a period of time.

Example: not available.

#### Mean Advective Tracer Transport

Mean value of tracer transport within a period of time.

Example: not available.

#### Maximum Advective Tracer Transport

Highest value of tracer transport within a period of time.

Example: not available.

#### Minimum Advective Tracer Transport

Lowest value of tracer transport within a period of time.

Example: not available.

back to Analysis of Calculated Results