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proportion of forest plots #326
Proportion of sample plots that meet the forest definition of NFI, i.e. are covered by "forest without shrub forest" or "shrub forest".

altitudinal vegetation belts (NaiS; 6 classes) #2633
Altitudinal vegetation belts in the system used in the guidelines for monitoring the sustainability and performance of protection forests (NaiS; Frehner et al. 2005), reduced to six classes. The variable represents a simplification of the NaiS altitudinal vegetation belts with ten classes (NAISHSTKOMB) in which the classes «hyperinsubric» and «colline» are merged with «colline with beech» to form the class «hyperinsubric and colline» and the class «lower montane» with «upper montane» and «lower/upper montane» to form the class «lower and upper montane». The information is based on the altitudinal vegetation belts determined by experts (accessible forest sample plots of NFI4 on the 1.4-km network; Arge Frehner et al. 2020), as well as on the altitudinal vegetation belts modelled for the period 1981-2010 (other sample plots; Zischg et al. 2021).

area of largest gap (5 classes) #1338
Sample plots without/with gaps ≥100 m² from canopy edge to canopy edge that intersect with the interpretation area (50 × 50 m), classified according to the area of the largest gap into five classes. Reference: aerial photo interpretation

protection forest region #829
Demarcation of Switzerland used in NFI for protection forest analyses. The six protection forest regions were derived from the economic regions by combining individual regions according to natural and statistical criteria.

protection forests (2022): accessible forest #2681
Accessible forest, i.e. «forest without shrub forest» or «shrub forest» that can be accessed on foot and is situated in a forest that the cantons designated «protection forest» in 2022 according to the harmonised criteria of SilvaProtect-CH (Losey & Wehrli 2013).

1.4-km grid #410
NFI's sampling grid with a mesh size of 1.4 km. The 1.4-km grid is the grid size covering all the previous terrestrial Inventories, which is why it is also called the base grid.

Estimates and standard error of the estimates

The results published in the NFI tables are estimates for variables in the Swiss forest (population parameters) whose true values are not known and must therefore be extrapolated (estimated) from the NFI sample data.

The extrapolations carry uncertainties. However, the accuracy of the extrapolations can be reliably estimated from the NFI sample, which is designed to be a random sample. To this end, all NFI tables include a second figure in addition to the estimate itself, namely the standard error of the estimate.

In most tables the percent standard error is reported (±%), but the absolute standard error (±) is also reported occasionally, especially for estimated percentages. The relationship between absolute and percent standard error is as follows:

percent standard error = absolute standard error / estimate × 100

absolute standard error = percent standard error × estimate / 100

Information on the forest road network is based on a full survey of all forest roads. In this case, there is no need to specify a standard error because there is no uncertainty caused by sampling.

Confidence interval of the estimate

With the estimate and the standard error of the estimate, the limits of the so-called confidence interval of the estimate can be calculated as:

lower limit = estimate – tQ × absolute standard error

upper limit = estimate + tQ × absolute standard error

If the simple standard error is used for the calculation (tQ = 1), then the 68% confidence interval is formed. In this case, the true value of the population parameter has a 68% probability of lying within this confidence interval of the estimate. If the double standard error is used (tQ = 2), then there is a 95% probability that the true value lies within this 95% confidence interval.

Significance of the estimate

The confidence interval can be used to statistically test whether the estimated population parameter is larger or smaller than a specific reference or target value, or whether two estimated population parameters truly differ (in the real population). For practical applications, proceed as follows: if a reference value lies outside the confidence interval, the estimated population value can be interpreted as being significantly different from it; if it lies within the confidence interval, the difference between the estimated population parameter and the reference value can be interpreted as random or not significant. When two population parameters are compared, they can be interpreted as differing significantly if their confidence intervals do not overlap.

Dealing with missing values

When calculating a results table, data are not always available for all combinations of characteristics^* of the classification variables and regional demarcation applied. In most cases, this indicates that the attribute estimated with the respective target variable does not occur or occurs only very rarely. Usually, the value 0 is used (imputed). However, as this value is not based on direct measurements, the associated standard error is represented with a full stop [.]. If the imputed value of 0 is referred to in the calculation, e.g. in the case of percentages or certain change estimates, no value can be entered. In this case, the estimated value and standard error are both represented with a full stop [.].

For example, no Arolla pines have been found and measured in the Swiss Plateau to date (growing stock of Arolla pines by production region). The values can be assumed to be missing because Arolla pine does not occur in the Swiss Plateau and therefore the growing stock there must be 0.

^* e.g. ‘Arolla pine’ characteristic of the classification variable ‘tree species’ and ‘Swiss plateau’ characteristic of the ‘regional demarcation’

Changes

There are two types of changes in the NFI:

The first type involves specific target variables relating to components of change, such as increment, fellings, mortality and losses. These target variables are only available for two consecutive inventory cycles, e.g. NFI3–NFI4. In the evaluation of components of change, the classification variable characteristic of the second inventory cycle is assigned to the first inventory cycle. These evaluations therefore do not take into account potential changes in a classification variable characteristic from the earlier to the later inventory (e.g. from private to public ownership).

With the second type of change, the difference in target variables, such as number of stems, growing stock or forest area, is used to assess the change between two inventory cycles. Target variables are generally used to represent states, such as that in NFI4, but can also indicate the net change between any two inventory cycles, e.g. NFI1–NFI4. In evaluations of change using these target variables, the change in a classification variable characteristic is considered in the analysis. Consequently, one can detect, for example, that the forest area without shrub forest increased between the two inventory cycles. This only has an effect on classification variables whose characteristic (class) can actually change, e.g. the affiliation with a forest area or the tree condition.

NFI4
proportion of forest plots
altitudinal vegetation belts (NaiS; 6 classes) · area of largest gap (5 classes)
regional demarcation: protection forest region
unit: %, column total
evaluation area: protection forests (2022): accessible forest
grid: 1.4-km grid
state 2009/17
		protection forest region
		Jura + Plateau		Northwestern Alps		Northeastern Alps		Southwestern Alps		Southeastern Alps		Southern Alps		Switzerland
altitudinal vegetation belts (NaiS; 6 classes)	area of largest gap (5 classes)	%	±	%	±	%	±	%	±	%	±	%	±	%	±
n/a	n/a	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	no gap (<100 m2)	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	small gap 100-500 m2)	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	medium gap (500-1000 m2)	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	large gap (1000-5000 m2)	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	very large gap (>5000 m2)	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	total	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
upper subalpine	n/a	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	no gap (<100 m2)	0.0	.	0.0	.	0.0	.	0.0	.	1.4	0.6	1.2	0.4	0.5	0.1
	small gap 100-500 m2)	0.0	.	0.0	.	0.0	.	3.1	0.8	1.6	0.6	1.1	0.4	1.0	0.2
	medium gap (500-1000 m2)	0.0	.	0.0	.	0.0	.	3.4	0.9	2.5	0.7	0.6	0.3	1.0	0.2
	large gap (1000-5000 m2)	0.0	.	0.2	0.2	0.0	.	3.4	0.9	4.9	1.0	1.2	0.4	1.6	0.2
	very large gap (>5000 m2)	0.0	.	0.0	.	0.0	.	0.5	0.3	0.0	.	0.1	0.1	0.1	0.1
	total	0.0	.	0.2	0.2	0.0	.	10.3	1.5	10.4	1.5	4.3	0.8	4.2	0.4
subalpine	n/a	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	no gap (<100 m2)	0.0	.	1.7	0.5	0.8	0.5	1.4	0.6	2.5	0.8	1.2	0.4	1.4	0.2
	small gap 100-500 m2)	0.0	.	2.0	0.6	1.3	0.6	8.7	1.4	7.1	1.2	5.0	0.8	4.2	0.4
	medium gap (500-1000 m2)	0.0	.	3.1	0.7	0.3	0.3	7.5	1.3	6.8	1.2	2.7	0.6	3.5	0.3
	large gap (1000-5000 m2)	0.0	.	3.7	0.8	1.3	0.6	8.8	1.4	13.9	1.7	3.9	0.8	5.4	0.4
	very large gap (>5000 m2)	0.0	.	0.0	.	0.0	.	1.0	0.5	0.7	0.4	0.2	0.2	0.3	0.1
	total	0.0	.	10.6	1.3	3.7	1.0	27.4	2.2	31.0	2.2	13.0	1.3	14.8	0.7
high-montane	n/a	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	no gap (<100 m2)	0.0	.	3.4	0.8	1.6	0.6	5.5	1.1	8.1	1.3	5.0	0.9	4.2	0.4
	small gap 100-500 m2)	0.0	.	6.4	1.0	3.1	0.9	17.6	1.9	13.1	1.6	8.3	1.1	8.5	0.5
	medium gap (500-1000 m2)	0.0	.	5.7	0.9	2.5	0.8	7.4	1.3	9.6	1.4	4.0	0.8	5.1	0.4
	large gap (1000-5000 m2)	0.0	.	5.0	0.9	4.5	1.1	11.7	1.6	14.5	1.7	6.2	0.9	7.2	0.5
	very large gap (>5000 m2)	0.0	.	1.0	0.4	0.3	0.3	0.7	0.4	1.7	0.6	0.0	.	0.6	0.2
	total	0.0	.	21.5	1.7	12.0	1.6	43.0	2.4	46.9	2.4	23.6	1.6	25.6	0.8
lower and upper montane	n/a	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	no gap (<100 m2)	27.4	2.6	18.2	1.6	23.4	2.2	4.5	1.0	2.9	0.8	11.5	1.3	13.9	0.7
	small gap 100-500 m2)	27.8	2.6	24.3	1.8	28.6	2.3	2.4	0.7	3.0	0.8	9.6	1.2	15.2	0.7
	medium gap (500-1000 m2)	8.5	1.6	10.5	1.3	11.3	1.6	1.2	0.5	2.3	0.7	4.4	0.8	6.3	0.5
	large gap (1000-5000 m2)	4.8	1.2	10.0	1.2	13.7	1.8	2.7	0.8	1.8	0.6	4.7	0.8	6.3	0.5
	very large gap (>5000 m2)	0.0	.	0.3	0.2	1.1	0.5	0.0	.	0.2	0.2	0.1	0.1	0.3	0.1
	total	68.4	2.7	63.3	2.0	78.1	2.1	10.8	1.5	10.3	1.4	30.4	1.8	42.0	0.9
submontane	n/a	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	no gap (<100 m2)	10.8	1.8	2.5	0.6	2.1	0.8	1.0	0.5	0.0	.	0.0	.	2.1	0.3
	small gap 100-500 m2)	13.9	2.0	1.2	0.5	2.4	0.8	0.7	0.4	0.2	0.2	0.0	.	2.2	0.3
	medium gap (500-1000 m2)	3.1	1.0	0.2	0.2	1.4	0.6	0.0	.	0.5	0.3	0.0	.	0.6	0.2
	large gap (1000-5000 m2)	3.4	1.1	0.6	0.3	0.3	0.3	0.0	.	0.0	.	0.0	.	0.5	0.1
	very large gap (>5000 m2)	0.4	0.4	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	0.0
	total	31.6	2.7	4.5	0.9	6.3	1.3	1.7	0.6	0.7	0.4	0.0	.	5.5	0.4
hyperinsubric and colline	n/a	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	no gap (<100 m2)	0.0	.	0.0	.	0.0	.	2.2	0.7	0.2	0.2	13.9	1.3	3.6	0.3
	small gap 100-500 m2)	0.0	.	0.0	.	0.0	.	1.9	0.7	0.2	0.2	9.6	1.2	2.6	0.3
	medium gap (500-1000 m2)	0.0	.	0.0	.	0.0	.	0.7	0.4	0.0	.	2.2	0.6	0.6	0.2
	large gap (1000-5000 m2)	0.0	.	0.0	.	0.0	.	2.0	0.7	0.0	.	2.8	0.7	1.0	0.2
	very large gap (>5000 m2)	0.0	.	0.0	.	0.0	.	0.0	.	0.2	0.2	0.1	0.1	0.1	0.1
	total	0.0	.	0.0	.	0.0	.	6.8	1.2	0.7	0.4	28.7	1.6	7.8	0.4
total	n/a	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.	0.0	.
	no gap (<100 m2)	38.2	2.8	25.8	1.8	27.9	2.3	14.6	1.7	15.2	1.7	32.8	1.8	25.7	0.8
	small gap 100-500 m2)	41.7	2.9	33.9	2.0	35.4	2.5	34.5	2.3	25.3	2.1	33.6	1.9	33.6	0.9
	medium gap (500-1000 m2)	11.5	1.9	19.5	1.6	15.5	1.9	20.2	2.0	21.6	2.0	14.0	1.4	17.3	0.7
	large gap (1000-5000 m2)	8.2	1.6	19.4	1.6	19.8	2.0	28.5	2.2	35.1	2.3	19.0	1.5	22.0	0.8
	very large gap (>5000 m2)	0.4	0.4	1.4	0.5	1.4	0.6	2.2	0.7	2.8	0.8	0.6	0.3	1.4	0.2
	total	100.0	.	100.0	.	100.0	.	100.0	.	100.0	.	100.0	.	100.0	.

Table citation

Abegg, M.; Ahles, P.; Allgaier Leuch, B.; Cioldi, F.; Didion, M.; Düggelin, C.; Fischer, C.; Herold, A.; Meile, R.; Rohner, B.; Rösler, E.; Speich, S.; Temperli, C.; Traub, B.,
2023: Swiss national forest inventory - Result table No. 1396943. Birmensdorf, Swiss Federal Research Institute WSL

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