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

[[de: Tideunabhängige Kennwerte der Morphodynamik]]
[[category:Characteristic Numbers (independent of the presence of tides)]]
[http://www.baw.de/downloads/wasserbau/mathematische_verfahren/pre_postpr/pdf/lzkmf-de.pdf Graphical representation]of tide independent characteristic numbers of morphodynamics (with German text only). This graphical representation is also available in [http://www.baw.de/downloads/wasserbau/mathematische_verfahren/pre_postpr/eps/lzkmf-de1.eps Encapsulated PostScript format]
==Motivation==
Calculation and graphic display of several tide-independent characteristic numbers of morphodynamics can yield additional insight into medium or long term phenomena of natural coastal and/or inland waters. The computation of the tide-independent numbers can be preferably used for the analysis of changes in the bathymetrie during an arbitrary period.

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

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

The characterstic numbers are derived from bathymetric depth, which is defined positive downwards. Due to this definition, erosion (deepening) corresponds to an increase in depth, whereas deposition (shallowing) corresponds to a decrease in depth.

===Maximum Depth (HB)===
Largest depth within an arbitrary period of time.<br /> 
<!-- [[Example figures: Maximum Depth]]. --> 
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Minimum Depth (NB)===
Smallest depth within arbitrary period of time.<br /> 
<!-- [[Example figures: Minimum Depth]]. --> 
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Mean Depth (MB)=== 
Arithmetic mean of the depth for an arbitrary period of time.<br /> 
<!-- [[Example figures: Mean Depth]]. --> 
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Maximum Variation of Depth (HB-NB)===
Difference in depth between HB and NB for an arbitrary period of time.
Maximum variation of depth is always larger or equal to zero.<br />
<!-- [[Example figures: Maximum Variation of Depth]]. -->  
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Change of Depth===
Depth difference between final and initial depth. Change of depth may be larger than zero, zero or less than zero.<br/ >
<!-- [[Example figures: Change of Depth]]. -->  
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Maximum Increase of Depth===
Maximum increase of depth with respect to depth at initial time for an arbitrary period of time. For any location the difference between maximum depth HB and initial depth is evaluated. Maximum increase of depth is always larger than or equal to zero.<br />
<!-- [[Example figures: Maximum Increase of Depth]]. -->  
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Maximum Decrease of Depth===
Maximum decrease of depth with respect to depth at initial time for an arbitrary period of time. For any location the difference between minimum depth NB and initial depth is evaluated. Maximum decrease of depth is always less than or equal to zero.<br />
<!-- [[Example figures: Maximum Increase of Depth]]. -->  
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Sum of Vertical Erosion===
Sum over all time steps with (net) vertical erosion for an arbitrary period of time. Sum of vertical erosion is always larger or equal to zero.<br />
<!-- [[Example figures: Sum of Vertical Erosion]]. -->  
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Sum of Vertical Deposition===
Sum over all time steps with (net) vertical deposition for an arbitrary period of time. Sum of vertical deposition is always less or equal to zero.<br />
<!-- [[Example figures: Sum of Vertical Deposition]]. -->  
No example figure available so far.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].

===Activity of Bathymetry===
Absolute values for ''sum of vertical erosion'' and ''sum of vertical deposition'' are added. Activity of bathymetry is always larger or equal to zero.<br />
<!-- [[Example figures: Activity of Bathymetry]]. -->  
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].

===Ratio for Deposition/Erosion===
Characteristic number for the relative intensity of deposition and erosion for an arbitrary period of time:<br/ >
+1: deposition only;<br/ >
-1: erosion only.<br/ >
<!-- [[Example figures: Ratio for Deposition/Erosion]. -->  
No example figure available so far.<br />
Data analysis [[LZKMF]].

===Ratio for Erosion/Deposition===
Characteristic number for the relative intensity of erosion and deposition for an arbitrary period of time. Qutient of ''change of depth'' and ''activity of bathymetry''::<br / >
+1: erosion only;<br />
-1: deposition only.<br />
<!-- [[Example figures: Ratio for Erosion/Deposition]]. -->  
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].

===Standard Deviation of Depth===
Standardabweichung der Sohltiefe bezogen auf die mittlere Sohltiefe MB innerhalb einer beliebigen Zeitspanne.
Ist stets größer oder gleich Null.<br />
<!-- [[Beispielgrafiken: Standardabweichung der Sohltiefe]]. --> 
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].

===Variance of Depth===
Varianz der Sohltiefe bezogen auf die mittlere Sohltiefe MB innerhalb einer beliebigen Zeitspanne.
Wert ist stets größer oder gleich Null.<br />
<!-- [[Beispielgrafiken: Varianz der Sohltiefe]]. --> 
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].

===Duration of Large Depth===
Zeitraum, für den die Sohltiefe einen vorgegebenen Grenzwert überschreitet.<br />
<!-- [[Beispielgrafiken: Dauer großer Sohltiefe]]. --> 
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].

===Duration of Small Depth===
Zeitraum, für den die Sohltiefe einen vorgegebenen Grenzwert unterschreitet.<br />
<!-- [[Beispielgrafiken: Dauer geringer Sohltiefe]]. --> 
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].

===Frequency Distribution of Depth===
Relative Häufigkeit, mit der Sohltiefen innerhalb eines Intervalls vorhanden sind.<br />
<!-- [[Beispielgrafiken: Häufigkeitsverteilung der Sohltiefe]]. --> 
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].

===Cumulative Frequency Distribution of Depth===
Kumulative Häufigkeit, mit der Sohltiefen innerhalb eines Intervalls vorhanden sind.<br />
<!-- [[Beispielgrafiken: Kumulative Häufigkeitsverteilung der Sohltiefe]]. --> 
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].

===Frequency for the Exceedence of Depth Levels===
Relative Häufigkeit, mit der Sohltiefen einen vorgegebenen Grenzwert überschreiten.<br />
<!-- [[Beispielgrafiken: Häufigkeit der Überschreitung von Sohltiefen-Grenzwerten]]. --> 
No example figure available so far. <br />
Data analysis: [[NCANALYSE]].

===Frequency for the Underflow of Depth Levels===
Relative Häufigkeit, mit der Sohltiefen einen vorgegebenen Grenzwert unterschreiten.<br />
<!-- [[Beispielgrafiken: Häufigkeit der Unterschreitung von Sohltiefen-Grenzwerten]]. --> 
No example figure available so far. <br />
Data anlysis: [[NCANALYSE]].

===Quantiles of Depth===
Sohltiefenwert einer Zeitreihe, der von einem bestimmten prozentualen Anteil der vorliegender Sohltiefenwerte nicht überschritten wird. <br />
* <!-- a) [[Beispielgrafik: Median Q_0.50]] --> No example figure available so far for ''Median''.
* <!-- b) [[Beispielgrafiken: Quantile Q_0.01, Q_0.05, Q_0.95, Q_0.99]] --> No example figure available so far for ''Q_01, Q_05, Q_95, Q_99''.
Data analysis: [[NCANALYSE]].

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