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Characteristic Numbers of Morphodynamics (independent of tides): Difference between revisions

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(→‎Maximum Depth (HB): text translated from German to English)
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[[de: Tideunabhängige Kennwerte der Morphodynamik]]
[[de: Tideunabhängige Kennwerte der Morphodynamik]]
[[category:Characteristic Numbers (independent of the presence of tides)]]
[[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]
[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==
==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.
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]].'''
'''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==
==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.
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)===
===Maximum Depth (HB)===
Line 18: Line 18:


===Minimum Depth (NB)===
===Minimum Depth (NB)===
Kleinste Sohltiefe innerhalb einer beliebigen Zeitspanne.<br />  
Smallest depth within arbitrary period of time.<br />  
<!-- [[Beispielgrafiken: Minimale Sohltiefe]]. -->  
<!-- [[Example figures: Minimum Depth]]. -->  
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[LZKMF]] und [[NCANALYSE]].
Data analysis: [[LZKMF]] and [[NCANALYSE]].


===Mean Depth (MB)===  
===Mean Depth (MB)===  
Arithmetischer Mittelwert der Sohltiefen innerhalb einer beliebigen Zeitspanne.<br />  
Arithmetic mean of the depth for an arbitrary period of time.<br />  
<!-- [[Beispielgrafiken: Mittlere Sohltiefe]]. -->  
<!-- [[Example figures: Mean Depth]]. -->  
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[LZKMF]] und [[NCANALYSE]].
Data analysis: [[LZKMF]] and [[NCANALYSE]].


===Maximum Variation of Depth (HB-NB)===
===Maximum Variation of Depth (HB-NB)===
Tiefenunterschied zwischen der maximalen Sohltiefe HB und der minimalen Sohltiefe NB innerhalb einer beliebigen Zeitspanne.
Difference in depth between HB and NB for an arbitrary period of time.
Die maximale Variation der Sohltiefe ist stets größer oder gleich Null.<br />
Maximum variation of depth is always larger or equal to zero.<br />
<!-- [[Beispielgrafiken: Maximale Variation der Sohltiefe]]. -->   
<!-- [[Example figures: Maximum Variation of Depth]]. -->   
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[LZKMF]] und [[NCANALYSE]].
Data analysis: [[LZKMF]] and [[NCANALYSE]].


===Change of Depth===
===Change of Depth===
Sohltiefenunterschied zwischen dem End- und dem Anfangszustand innerhalb einer beliebigen Zeitspanne.
Depth difference between final and initial depth. Change of depth may be larger than zero, zero or less than zero.<br/ >
Die Veränderung der Sohltiefe kann größer als Null, Null, oder kleiner als Null sein.<br/ >
<!-- [[Example figures: Change of Depth]]. -->   
<!-- [[Beispielgrafiken: Veränderung der Sohltiefe]]. -->   
No example figure available so far.<br />
Noch keine Beispielgrafik vorhanden.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].
Analyseprogramm: [[LZKMF]] und [[NCANALYSE]].


===Maximum Increase of Depth===
===Maximum Increase of Depth===
Maximale Zunahme der Sohltiefe im Vergleich mit der anfänglichen Tiefe innerhalb einer beliebigen Zeitspanne .Für jede Position wird also die Differenz zwischen der maximalen Tiefe HB und der anfänglichen Tiefe ermittelt.
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 />
Die maximale Zunahme der Sohltiefe ist stets größer oder gleich Null.<br />
<!-- [[Example figures: Maximum Increase of Depth]]. -->   
<!-- [[Beispielgrafiken: Maximale Zunahme der Sohltiefe]]. -->   
No example figure available so far.<br />
Noch keine Beispielgrafik vorhanden.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].
Analyseprogramm: [[LZKMF]] und [[NCANALYSE]].


===Maximum Decrease of Depth===
===Maximum Decrease of Depth===
Maximale Abnahme der Sohltiefe im Vergleich mit der anfänglichen Tiefe innerhalb einer beliebigen Zeitspanne .Für jede Position wird also die Differenz zwischen der minimalen Tiefe NB und der anfänglichen Tiefe ermittelt.
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 />
Die maximale Abnahme der Sohltiefe ist stets kleiner oder gleich Null.<br />
<!-- [[Example figures: Maximum Increase of Depth]]. -->   
<!-- [[Beispielgrafiken: Maximale Abnahme der Sohltiefe]]. -->   
No example figure available so far.<br />
Noch keine Beispielgrafik vorhanden.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].
Analyseprogramm: [[LZKMF]] und [[NCANALYSE]].


===Sum of Vertical Erosion===
===Sum of Vertical Erosion===
Summe über alle Zunahmen der Sohltiefe innerhalb einer beliebigen Zeitspanne.
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 />
Die Summe der Erosion ist stets größer oder gleich Null.<br />
<!-- [[Example figures: Sum of Vertical Erosion]]. -->   
<!-- [[Beispielgrafiken: Summe der Erosion]]. -->   
No example figure available so far.<br />
Noch keine Beispielgrafik vorhanden.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].
Analyseprogramm: [[LZKMF]] und [[NCANALYSE]].


===Sum of Vertical Deposition===
===Sum of Vertical Deposition===
Summe über alle Abnahmen der Sohltiefe innerhalb einer beliebigen Zeitspanne.
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 />
Die Summe der Deposition ist stets kleiner oder gleich Null.<br />
<!-- [[Example figures: Sum of Vertical Deposition]]. -->   
<!-- [[Beispielgrafiken: Summe der Deposition]]. -->   
No example figure available so far.<br />
Noch keine Beispielgrafik vorhanden.<br />
Data analysis: [[LZKMF]] and [[NCANALYSE]].
Analyseprogramm: [[LZKMF]] und [[NCANALYSE]].


===Activity of Bathymetry===
===Activity of Bathymetry===
Die Beträge der Kenngrößen ''Summe der Erosion'' und ''Summe der Deposition'' werden addiert.
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 />
Die Aktivität der Sohle ist stets größer oder gleich Null.<br />
<!-- [[Example figures: Activity of Bathymetry]]. -->   
<!-- [[Beispielgrafiken: Aktivität der Sohle]]. -->   
No example figure available so far.<br />
Noch keine Beispielgrafik vorhanden.<br />
Data analysis: [[NCANALYSE]].
Analyseprogramm: [[NCANALYSE]].


===Ratio for Deposition/Erosion===
===Ratio for Deposition/Erosion===
Kennzahl für das Verhältnis von Deposition und Erosion innerhalb einer beliebigen Zeitspanne:<br/ >
Characteristic number for the relative intensity of deposition and [[erosion]] for an arbitrary period of time:<br/ >
+1: nur Deposition;<br/ >
+1: deposition only;<br/ >
-1: nur Erosion.<br/ >
-1: [[erosion]] only.<br/ >
<!-- [[Beispielgrafiken: Kennzahl Deposition/Erosion]]. -->   
<!-- [[Example figures: Ratio for Deposition/Erosion]. -->   
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[LZKMF]].
Data analysis [[LZKMF]].


===Ratio for Erosion/Deposition===
===Ratio for Erosion/Deposition===
Kennzahl für das Verhältnis von Erosion und Deposition innerhalb einer beliebigen Zeitspanne. Ist der Quotient aus ''Veränderung der Sohltiefe'' und ''Aktivität der Sohle''. Es gilt:<br / >
Characteristic number for the relative intensity of [[erosion]] and deposition for an arbitrary period of time. Quotient of ''change of depth'' and ''activity of bathymetry''::<br / >
+1: nur Erosion;<br />
+1: [[erosion]] only;<br />
-1: nur Deposition.<br />
-1: deposition only.<br />
<!-- [[Beispielgrafiken: Kennzahl Erosion/Deposition]]. -->   
<!-- [[Example figures: Ratio for Erosion/Deposition]]. -->   
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Standard Deviation of Depth===
===Standard Deviation of Depth===
Standardabweichung der Sohltiefe bezogen auf die mittlere Sohltiefe MB innerhalb einer beliebigen Zeitspanne.
Standard deviation of depth with respect to the mean depth MB within an arbitrary period of time.
Ist stets größer oder gleich Null.<br />
Always larger or equal to zero.<br />
<!-- [[Beispielgrafiken: Standardabweichung der Sohltiefe]]. -->  
<!-- [[Example figures: Standard Deviation of Depth]]. -->  
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Variance of Depth===
===Variance of Depth===
Varianz der Sohltiefe bezogen auf die mittlere Sohltiefe MB innerhalb einer beliebigen Zeitspanne.
Variance of depth with respect to the mean depth MB within an arbitrary period of time.
Wert ist stets größer oder gleich Null.<br />
Always larger or equal to zero.<br />
<!-- [[Beispielgrafiken: Varianz der Sohltiefe]]. -->  
<!-- [[Example figures: Variance of Depth]]. -->  
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Duration of Large Depth===
===Duration of Large Depth===
Zeitraum, für den die Sohltiefe einen vorgegebenen Grenzwert überschreitet.<br />
Time span for which depth lies above a certain threshold within an arbitrary period of time.<br />
<!-- [[Beispielgrafiken: Dauer großer Sohltiefe]]. -->  
<!-- [[Example figures: Duration of Large Depth]]. -->  
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Duration of Small Depth===
===Duration of Small Depth===
Zeitraum, für den die Sohltiefe einen vorgegebenen Grenzwert unterschreitet.<br />
Time span for which depth lies below a certain threshold within an arbitrary period of time.<br />
<!-- [[Beispielgrafiken: Dauer geringer Sohltiefe]]. -->  
<!-- [[Example figures: Duration of Small Depth]]. -->  
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Frequency Distribution of Depth===
===Frequency Distribution of Depth===
Relative Häufigkeit, mit der Sohltiefen innerhalb eines Intervalls vorhanden sind.<br />
Relative frequency for which depth values are within an interval.<br />
<!-- [[Beispielgrafiken: Häufigkeitsverteilung der Sohltiefe]]. -->  
<!-- [[Example figures: Frequency Distribution of Depth]]. -->  
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Cumulative Frequency Distribution of Depth===
===Cumulative Frequency Distribution of Depth===
Kumulative Häufigkeit, mit der Sohltiefen innerhalb eines Intervalls vorhanden sind.<br />
Cumulative frequency for which depth values are within an interval.<br />
<!-- [[Beispielgrafiken: Kumulative Häufigkeitsverteilung der Sohltiefe]]. -->  
<!-- [[Example figures: Cumulative Distribution of Depth]]. -->  
Noch keine Beispielgrafik vorhanden.<br />
No example figure available so far.<br />
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Frequency for the Exceedence of Depth Levels===
===Frequency for the Exceedence of Depth Levels===
Relative Häufigkeit, mit der Sohltiefen einen vorgegebenen Grenzwert überschreiten.<br />
Relative frequency for which depth values are above a specific threshold.<br />
<!-- [[Beispielgrafiken: Häufigkeit der Überschreitung von Sohltiefen-Grenzwerten]]. -->  
<!-- [[Example figures: Frequency for the Exceedence of Depth Levels]]. -->  
Noch keine Beispielgrafik vorhanden. <br />
No example figure available so far. <br />
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].


===Frequency for the Underflow of Depth Levels===
===Frequency for the Underflow of Depth Levels===
Relative Häufigkeit, mit der Sohltiefen einen vorgegebenen Grenzwert unterschreiten.<br />
Relative frequency for which depth values are below a specific threshold.<br />
<!-- [[Beispielgrafiken: Häufigkeit der Unterschreitung von Sohltiefen-Grenzwerten]]. -->  
<!-- [[Example figures: Frequency for the Underflow of Depth Levels]]. -->  
Noch keine Beispielgrafik vorhanden. <br />
No example figure available so far. <br />
Analyseprogramm: [[NCANALYSE]].
Data anlysis: [[NCANALYSE]].


===Quantiles of Depth===
===Quantiles of Depth===
Sohltiefenwert einer Zeitreihe, der von einem bestimmten prozentualen Anteil der vorliegender Sohltiefenwerte nicht überschritten wird. <br />
Depth level for a time serie which is not exceeded by a certain percentage of present depth values. . <br />
* <!-- a) [[Beispielgrafik: Median Q_0.50]] --> Noch keine Beispielgrafik ''Median'' vorhanden.
* <!-- a) [[Example figures: 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]] --> Noch keine Beispielgrafiken ''Q_01, Q_05, Q_95, Q_99'' vorhanden.
* <!-- b) [[Example figures: Quantiles 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''.
Analyseprogramm: [[NCANALYSE]].
Data analysis: [[NCANALYSE]].
 
 


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Latest revision as of 09:26, 21 October 2022

Graphical representationof tide independent characteristic numbers of morphodynamics (with German text only). This graphical representation is also available in 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.
No example figure available so far.
Data analysis: LZKMF and NCANALYSE.

Minimum Depth (NB)

Smallest depth within arbitrary period of time.
No example figure available so far.
Data analysis: LZKMF and NCANALYSE.

Mean Depth (MB)

Arithmetic mean of the depth for an arbitrary period of time.
No example figure available so far.
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.
No example figure available so far.
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.
No example figure available so far.
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.
No example figure available so far.
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.
No example figure available so far.
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.
No example figure available so far.
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.
No example figure available so far.
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.
No example figure available so far.
Data analysis: NCANALYSE.

Ratio for Deposition/Erosion

Characteristic number for the relative intensity of deposition and erosion for an arbitrary period of time:
+1: deposition only;
-1: erosion only.
No example figure available so far.
Data analysis LZKMF.

Ratio for Erosion/Deposition

Characteristic number for the relative intensity of erosion and deposition for an arbitrary period of time. Quotient of change of depth and activity of bathymetry::
+1: erosion only;
-1: deposition only.
No example figure available so far.
Data analysis: NCANALYSE.

Standard Deviation of Depth

Standard deviation of depth with respect to the mean depth MB within an arbitrary period of time. Always larger or equal to zero.
No example figure available so far.
Data analysis: NCANALYSE.

Variance of Depth

Variance of depth with respect to the mean depth MB within an arbitrary period of time. Always larger or equal to zero.
No example figure available so far.
Data analysis: NCANALYSE.

Duration of Large Depth

Time span for which depth lies above a certain threshold within an arbitrary period of time.
No example figure available so far.
Data analysis: NCANALYSE.

Duration of Small Depth

Time span for which depth lies below a certain threshold within an arbitrary period of time.
No example figure available so far.
Data analysis: NCANALYSE.

Frequency Distribution of Depth

Relative frequency for which depth values are within an interval.
No example figure available so far.
Data analysis: NCANALYSE.

Cumulative Frequency Distribution of Depth

Cumulative frequency for which depth values are within an interval.
No example figure available so far.
Data analysis: NCANALYSE.

Frequency for the Exceedence of Depth Levels

Relative frequency for which depth values are above a specific threshold.
No example figure available so far.
Data analysis: NCANALYSE.

Frequency for the Underflow of Depth Levels

Relative frequency for which depth values are below a specific threshold.
No example figure available so far.
Data anlysis: NCANALYSE.

Quantiles of Depth

Depth level for a time serie which is not exceeded by a certain percentage of present depth values. .

  • No example figure available so far for Median.
  • No example figure available so far for Q_01, Q_05, Q_95, Q_99.

Data analysis: NCANALYSE.


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