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Table 1 Results from 50,000 simulations of inventory of the complexly arranged population of individual trees (Fig. 1a) to estimate individual tree mean basal area, number of individuals in the population and population total basal area, together with their standard errors. In some simulations it was assumed that a list sampling frame was available and, in others, it was assumed that only an area sampling frame list was available. Sample size (s) was 50 individuals. Sample plot size for Method 1 was 5-m square plots and for Method 2 was 25-m square plots

From: Simple random sampling of individual items in the absence of a sampling frame that lists the individuals

 

Individual tree mean basal area (m2)

Number of trees in the population

Population total basal area (m2)

True value

0.662

720

476

True standard error of a sample

0.036

Sampling with an area sampling frame—Method 1

 Mean of all simulations

0.662

734

486

 Standard error of simulation mean estimates

0.036

104

74

 Mean of estimates of standard error of simulation means

0.036

102

75

Sampling with an area sampling frame—Method 2

 Mean of all simulations

0.662

723

478

 Standard error of simulation mean estimates

0.036

43

35

 Mean of estimates of standard error of simulation means

0.036

42

35

Sampling with a list sampling frame

 Mean of all simulations

0.662

476

 Standard error of simulation mean estimates

0.035

25

 Mean of estimates of standard error of simulation means

0.035

25