Samples

The algorithms on this page are used in analysis calculations for Sv echograms, Single target echograms and Single target echograms with detected fish tracks. Each echogram has a specific data point type which is considered in an algorithm. The data point types are as follows:

Echogram	Data point type
Sv	Sv samples
Single target	Single target
Single target with detected fish tracks	Single target that is the end of a fish track.

Where a "set of samples s" is discussed, the echogram dictates the data point type used for the members of the set.

Good_samples
Bad_data no data_samples
Bad data empty water samples
No_data_samples
Samples_above_surface_exclusion
Samples_below_bottom_exclusion
Samples_in_domain

Good_samples (no units)

Let A be the set of Sv samples, or single targets or fish tracks s in the analysis domain being considered. Then:

where

A

= the set of Sv samples, single targets, or fish tracks in the analysis domain.

Ns

= The number of Sv samples, single targets or fish tracks in the analysis domain subject to analysis = Good_samples.

= 0 if Sv sample, single target or fish track s is not in the analysis domain, this includes Bad_data_empty_water_samples

1 otherwise, including below threshold data

Notes:

This forms the denominator in the Sv_mean calculation for single beam data.
An empty cell is defined as Good_samples = 0.

Bad_data_no_data_samples

Let A be the set of samples s in the analysis domain being considered. Then:

where

A

= the set of samples in the analysis domain.

Nb

= The number of bad data (no data) samples in the analysis domain = Bad_data_no_data_samples.

Notes:

*The Analysis setting Include volume of no data samples allows no-data samples to contribute to the Thickness_mean.
This will affect primary and downstream integration calculations. No-data samples may occur in a number of ways (no-data samples, samples within
applied bad data (no data) regions and samples in pings with a bad line status).
For further information refer to About analysis domains: Analysis based on regions and samples.

*Post Echoview 5.2, no data samples within bad data regions are deemed as bad_data_samples for integration and analysis results. Prior to Echoview 5.2,
no data samples within bad data regions were counted as no_data_samples.

= 1 if sample s in a Bad data(no data) region and the Analysis setting Apply bad data regions is used

0 otherwise

Bad_data_empty_water_samples

Let A be the set of samples s in the analysis domain being considered. Then:

Bad data empty water samples

where

A

= the set of samples in the analysis domain.

Ne

= The number of bad data (empty water) samples in the analysis domain = Bad_data_empty_water_samples.

= 1 if sample s in a Bad data(empty water) region and the Analysis setting Apply bad data regions is used

0 otherwise

No_data_samples

Let A be the set of samples s in the analysis domain being considered. Then:

where

A

= the set of samples in the analysis domain.

Nn

= The number of no data samples in the analysis domain = No_data_samples.

Note: Post Echoview 5.2, no data samples within bad data regions are deemed as bad_data_samples for integration and analysis results.

Prior to Echoview 5.2, no data samples within bad data regions were counted as no_data_samples

= 1 if sample s is no data. No-data samples may occur in a number of ways (no-data samples, samples within applied bad data (no data) regions and samples in pings with a bad line status).
For further information refer to About analysis domains: Analysis based on regions and samples.

0 otherwise

Samples_Above_Surface_Exclusion

Let A be the set of samples s in the analysis domain being considered. Then:

where

A = the set of samples s in the analysis domain.

NSamples_Above_Surface_Exclusion = The number of samples above the Exclude above line in the analysis domain = Samples_Above_Surface_Exclusion The Exclude above line is specified under the Exclusions and Analysis section on the Analysis page of the Variable Properties dialog box.

=
1 if sample s is above the Exclude above line

0 otherwise

Samples_Below_Bottom_Exclusion

Let A be the set of samples s in the analysis domain being considered. Then:

where

A = the set of samples s in the analysis domain.

NSamples_Below_Bottom_Exclusion
=
The number of samples above the Exclude below line in the analysis domain = Samples_Below_Bottom_Exclusion

The Exclude below line is specified under the Exclusions and Analysis section on the Analysis page of the Variable Properties dialog box.

=
1 if sample s is above the Exclude below line

0 otherwise

Samples_In_Domain

NSamples_In_Domain = Ns + Nb + Ne+ Nn + NSamples_Above_Surface_Exclusion + NSample_Below_Bottom_Exclusion

where

NSamples _In_Domain = the number of samples in the analysis domain = Samples_In_Domain

Ns =
the number of samples in the analysis domain subject to analysis = Good_samples.

See also Good_samples algorithm.

Nb =
the number of Bad data (no data) samples in the analysis domain = Bad_data_no_data_samples.

Note: Post Echoview 5.2, no data samples within bad data regions are deemed as bad_data_samples for integration and analysis results.

Prior to Echoview 5.2, no data samples within bad data regions were counted as no_data_samples.

See also Bad_data_(no data) samples algorithm.

Ne =
the number of Bad data (empty water) samples in the analysis domain = Bad_data_empty_water_samples.

See also Bad data (empty water) algorithm.

Nn =
the number of no data samples in the analysis domain = No_data_samples.

Note: Post Echoview 5.2, no data samples within bad data regions are deemed as bad_data_samples for integration and analysis results.

Prior to Echoview 5.2, no data samples within bad data regions were counted as no_data_samples.

See also No_data_samples algorithm.

NSamples_above_surface_exclusion =
The number of samples above the Exclude above line in the analysis domain = Samples_Above_Surface_Exclusion

The Exclude above line is specified under the Exclusions and Analysis section on the Analysis page of the Variable Properties dialog box.

See also Samples_Above_Surface_Exclusion algorithm.

NSamples_below_bottom_exclusion
=
The number of samples above the Exclude below line in the analysis domain = Samples_Below_Bottom_Exclusion

The Exclude below line is specified under the Exclusions and Analysis section on the Analysis page of the Variable Properties dialog box.

See also Samples_Below_Bottom_Exclusion algorithm.

Note:

The total number of samples in an analysis domain which are not above an exclude-above line or below an exclude-below line can be calculated as:

Good_samples + Bad_data_no_data_samples + Bad_data_empty_water_samples + No_data_samples

A count of the total number of samples excluded is not currently available.

A	= the set of Sv samples, single targets, or fish tracks in the analysis domain.
Ns	= The number of Sv samples, single targets or fish tracks in the analysis domain subject to analysis = Good_samples.
	=	0 if Sv sample, single target or fish track s is not in the analysis domain, this includes Bad_data_empty_water_samples
		1 otherwise, including below threshold data

A	= the set of samples in the analysis domain.
Nb	= The number of bad data (no data) samples in the analysis domain = Bad_data_no_data_samples. Notes: The Analysis setting Include volume of no data samples* allows no-data samples to contribute to the Thickness_mean. This will affect primary and downstream integration calculations. No-data samples may occur in a number of ways (no-data samples, samples within applied bad data (no data) regions and samples in pings with a bad line status). For further information refer to About analysis domains: Analysis based on regions and samples. *Post Echoview 5.2, no data samples within bad data regions are deemed as bad_data_samples for integration and analysis results. Prior to Echoview 5.2, no data samples within bad data regions were counted as no_data_samples.
	=	1 if sample s in a Bad data(no data) region and the Analysis setting Apply bad data regions is used
		0 otherwise

A	= the set of samples in the analysis domain.
Ne	= The number of bad data (empty water) samples in the analysis domain = Bad_data_empty_water_samples.
	=	1 if sample s in a Bad data(empty water) region and the Analysis setting Apply bad data regions is used
		0 otherwise

A	= the set of samples in the analysis domain.
Nn	= The number of no data samples in the analysis domain = No_data_samples. Note: Post Echoview 5.2, no data samples within bad data regions are deemed as bad_data_samples for integration and analysis results. Prior to Echoview 5.2, no data samples within bad data regions were counted as no_data_samples
	=	1 if sample s is no data. No-data samples may occur in a number of ways (no-data samples, samples within applied bad data (no data) regions and samples in pings with a bad line status). For further information refer to About analysis domains: Analysis based on regions and samples.
		0 otherwise

A	=	the set of samples s in the analysis domain.
NSamples_Below_Bottom_Exclusion	=	The number of samples above the Exclude below line in the analysis domain = Samples_Below_Bottom_Exclusion The Exclude below line is specified under the Exclusions and Analysis section on the Analysis page of the Variable Properties dialog box.
	=		1 if sample s is above the Exclude below line
			0 otherwise

NSamples _In_Domain	=	the number of samples in the analysis domain = Samples_In_Domain
Ns	=	the number of samples in the analysis domain subject to analysis = Good_samples. See also Good_samples algorithm.
Nb	=	the number of Bad data (no data) samples in the analysis domain = Bad_data_no_data_samples. Note: Post Echoview 5.2, no data samples within bad data regions are deemed as bad_data_samples for integration and analysis results. Prior to Echoview 5.2, no data samples within bad data regions were counted as no_data_samples. See also Bad_data_(no data) samples algorithm.
Ne	=	the number of Bad data (empty water) samples in the analysis domain = Bad_data_empty_water_samples. See also Bad data (empty water) algorithm.
Nn	=	the number of no data samples in the analysis domain = No_data_samples. Note: Post Echoview 5.2, no data samples within bad data regions are deemed as bad_data_samples for integration and analysis results. Prior to Echoview 5.2, no data samples within bad data regions were counted as no_data_samples. See also No_data_samples algorithm.
NSamples_above_surface_exclusion	=	The number of samples above the Exclude above line in the analysis domain = Samples_Above_Surface_Exclusion The Exclude above line is specified under the Exclusions and Analysis section on the Analysis page of the Variable Properties dialog box. See also Samples_Above_Surface_Exclusion algorithm.
NSamples_below_bottom_exclusion	=	The number of samples above the Exclude below line in the analysis domain = Samples_Below_Bottom_Exclusion The Exclude below line is specified under the Exclusions and Analysis section on the Analysis page of the Variable Properties dialog box. See also Samples_Below_Bottom_Exclusion algorithm.