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Analysis — the statistical diagnostic of your plots

In a nutshell: Analysis records nothing. It gathers the basal area surveys made on a domain, one or more parcels and a period, and turns them into a statistical diagnostic: the mean value per hectare of each variable, how much it varies from plot to plot, and the precision of your estimate.

It is the stand diagnostic in the Pro Silva way: it answers "what is the growing stock of this parcel?", but also "are my plots enough to say so?".


1. What Analysis computes

The unit of calculation is the plot: one basal area survey, made from a route in the Observations module. A route can carry several surveys: each one is a plot. For each plot, the app already knows the basal area, the stem density and the deadwood — the figures of its summary.

Analysis lines these plot values up, variable by variable, and computes their statistics: one row per plot in a spreadsheet, one column per variable, as in the "Diag" tab of the Pro Silva workbook.

The first report available is the Diagnostic. Others will follow.


2. Choosing the scope

Open Analysis from the home screen.

  1. Domain: the one in the banner is suggested; changing it here also changes the active domain.
  2. Parcels: all are ticked at first. Untick those you are not interested in. The counter shows how many are kept.
  3. Period: start date and end date, both included — a survey made on the end date counts.

Below the selection, the app shows how many basal area surveys (plots) the scope contains. The Diagnostic button shows that number; it stays greyed out while there is no plot.

The Analysis screen: the period, the domain, the ticked parcels, then the number of plots available and the Diagnostic button.
The Analysis screen: the period, the domain, the ticked parcels, then the number of plots available and the Diagnostic button.

An observation that is not attached to any parcel never enters the Analysis. If surveys are missing, check their parcel in the observation's detail.


3. The Diagnostic report

At the top, a reminder of the scope: the domain, each parcel with its number of plots, the period and the total. The ↩ arrow at the top right takes you back to the scope.

Then come three sections, always in this order:

  1. Basal area (m²/ha);
  2. Stem density (stems/ha);
  3. Deadwood (m³/ha).

Each section begins with a definition of the variable, expanded the first time and collapsed afterwards: tap Definition to read it again.

The top of the report: the scope, then the Basal area section with its definition.
The top of the report: the scope, then the Basal area section with its definition.

Reading a table

The first column stays fixed; swipe the table to the left to see the other variables. Long-press a statistic's name to show its definition.

A — marks a value that makes no sense for the sample: a standard deviation with a single plot, a coefficient of variation when the mean is zero.


4. The three sections

Basal area (m²/ha)

ColumnWhat it holds
G Timberthe living stems counted with the relascope (Timber gesture), all classes, unclassified included
G TGB, G GB, G BM, G PBthe same, by diameter class
G Coppicecoppice, estimated with the point-centred quarter method
G Polethe poles in the 10 m circle
G Deadtrees standing dead, counted with the relascope
G Condemned*condemned trees — a subtotal of G Timber
The Basal area section: the statistics table, to swipe to see every column.
The Basal area section: the statistics table, to swipe to see every column.

Stem density (stems/ha)

The same columns, as stems per hectare: N Timber, N TGB, N GB, N BM, N PB, N Coppice, N Pole, N Dead.

A stem counted with the relascope without a diameter class counts in the basal area, but not in the density: its diameter is needed to convert it into stems per hectare. Their number is shown under the table.

Deadwood (m³/ha)

ColumnWhat it holds
V lyingthe volume of the pieces crossed along the three transects
V standingthe volume of standing dead trees (11 × G Dead)
V totalboth together, on the plots where the transects were walked
The Deadwood section, and under each table the colour key of the relative error.
The Deadwood section, and under each table the colour key of the relative error.

Zero or "not surveyed": a difference that matters

A plot where a population was surveyed and found absent counts as zero: it is information, and leaving it out would inflate the mean. A plot where it was not surveyed is simply left out of that column. That is why n can change from one column to the next.

PopulationCounts as zero if…Left out if…
Timberno stem counted— (the relascope sweep is assumed at every plot)
Polesyou pressed No polesno pole and no "No poles"
Coppiceall four quarters are emptyno coppice surveyed, or 1 to 3 empty quarters ("truncated plot")
Lying deadwoodthe transects are recorded emptyno transect walked

Plots with truncated coppice (1 to 3 empty quarters) are not computed yet: their number is shown under the table.


5. The statistics, row by row

RowNameWhat it tells you
nCountthe number of plots used for the column
MeanMeanthe estimate of the variable per hectare for the scope
MedMedianhalf the plots above, half below; a large gap with the mean betrays a few extreme plots
σStandard deviationthe spread around the mean: about two plots in three lie within one standard deviation
MADMean absolute deviationthe average distance from a plot to the mean, less sensitive to extremes
CVCoefficient of variationthe standard deviation relative to the mean, in %: the higher, the more heterogeneous the stand
CI 95 %Confidence intervalthe true mean has 95 chances in 100 of lying within Mean ± CI
RERelative errorthe CI relative to the mean, in %: the precision of your estimate
Max · MinExtremesthe highest and the lowest plot
Q3 · Q1Quartilesthree quarters / one quarter of the plots below this value; half the plots lie in between
SEStandard errorthe uncertainty on the mean itself (σ / √n)
IQRInterquartile rangeQ3 − Q1: the range of the middle half of the plots
n₀Zero plotshow many plots have none of this population
n req.Required plotshow many plots would give a 10 % relative error

6. Precision: should you add plots?

The RE row is coloured:

ColourRelative errorReading
Greenup to 15 %a solid estimate
Orange15 to 30 %to be consolidated
Redabove 30 %too imprecise to decide on

The relative error falls as plots are added, but slowly: it takes four times as many plots to halve it. The n req. row does the maths for you — if it reads 19 and you have 12, seven more plots would bring the error down to 10 %.


7. In short