Proportion_occupied

Proportion_occupied is an analysis export variable available in exported integration analyses.

It reports the proportion of the water-column depth with Sv at or above a threshold and considers all samples in the analysis domain. The exported Proportion_occupied is equivalent to the 'Proportion occupied' as used by Urmy et al. (2012).

Algorithm

Proportion occupied equals the integral of the indicator function X of z between the minimum and maximum depths of the analysis domain, divided by the difference between those depths.

Where:

Pocc is the Proportion_occupied (unitless).
z is the depth (m) within the analysis domain.
z1, z2 are the minimum and maximum depths of the analysis domain, respectively.
X(z) is an indicator function that equals 1 when sv(z) is greater than or equal to the threshold, and 0 otherwise.
sv(z)

is the sample volume-backscattering coefficient at z.

Sample volume-backscattering coefficient equation

Sv (dB re 1 m-1) is the mean volume backscattering strength of the sample at z.

Notes:
  • svthresh is the linear sample volume-backscattering coefficient corresponding to the Minimum threshold specified in the dB domain on the Data page of the Variable Properties dialog box for the Sv variable used for the analysis export.
  • Thresholded Sv (dB) values are handled as 0 in the linear domain.
  • When the Analysis setting Include the volume of no-data samples is not selected, no-data samples are excluded from the calculation.

See also

About analysis
About analysis variables