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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 program [[LZKMF]].'''
'''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==


===Maximum 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 within an arbitrary period.<br />
===Maximum Depth (HB)===
Example: not yet available
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===
===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]].


Minumum depth within an arbitrary period.<br />
===Mean Depth (MB)===
Example: not yet available
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]].


===Mean Depth===
===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]].


Mean depth within an arbitrary period.<br />
===Change of Depth===
Example: not yet available
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]].


===Maximum Variation of Depth===
===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''::<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]].


Difference between maximum depth and minimum depth within an arbitrary period.<br />
===Standard Deviation of Depth===
Example: not yet available
Standard deviation of depth with respect to the mean depth MB within an arbitrary period of time.
Always larger or equal to zero.<br />
<!-- [[Example figures: Standard Deviation of Depth]]. -->
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].


===Change of Depth===
===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.<br />
<!-- [[Example figures: Variance of Depth]]. -->
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].


Difference between the final and initial depth within an arbitrary period.<br />
===Duration of Large Depth===
Example: not yet available
Time span for which depth lies above a certain threshold within an arbitrary period of time.<br />
<!-- [[Example figures: Duration of Large Depth]]. -->
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].


===Maximum Increase of Depth===
===Duration of Small Depth===
Time span for which depth lies below a certain threshold within an arbitrary period of time.<br />
<!-- [[Example figures: Duration of Small Depth]]. -->
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].


Maximum increase of depth compared with an inital depth for all locations within an arbitrary period.<br />
===Frequency Distribution of Depth===
Example: not yet available
Relative frequency for which depth values are within an interval.<br />
<!-- [[Example figures: Frequency Distribution of Depth]]. -->
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].


===Maximum Decrease of Bottom===
===Cumulative Frequency Distribution of Depth===
Maximum decrease of depth compared with an initial depth for all locations within an arbitrary period.<br />
Cumulative frequency for which depth values are within an interval.<br />
Example: not yet available
<!-- [[Example figures: Cumulative Distribution of Depth]]. -->
No example figure available so far.<br />
Data analysis: [[NCANALYSE]].


===Sum of Vertical Erosion===
===Frequency for the Exceedence of Depth Levels===
Sum over all increases of depth within an arbitrary period.<br />
Relative frequency for which depth values are above a specific threshold.<br />
Example: not yet available
<!-- [[Example figures: Frequency for the Exceedence of Depth Levels]]. -->
No example figure available so far. <br />
Data analysis: [[NCANALYSE]].


===Sum of Vertical Deposition===
===Frequency for the Underflow of Depth Levels===
Sum over all decreases of depth within an arbitrary period.<br />
Relative frequency for which depth values are below a specific threshold.<br />
Example: not yet available
<!-- [[Example figures: Frequency for the Underflow of Depth Levels]]. -->
No example figure available so far. <br />
Data anlysis: [[NCANALYSE]].


===Ratio for Deposition/Erosion (DepEro)===
===Quantiles of Depth===
Characteristic number for the ratio of deposition to erosion within an arbitrary period:
Depth level for a time serie which is not exceeded by a certain percentage of present depth values. . <br />
+1: Only deposition was found within the period;
* <!-- a) [[Example figures: Median Q_0.50]] --> No example figure available so far for ''Median''.
-1: Only erosion was found within the period.<br />
* <!-- 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''.
Example: not yet available
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.

back to Analysis of Calculated Results

Overview

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