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

New Zealand Journal of Forestry Science

Table 2 Results, in the same form as Table 1, from 50,000 simulations of inventory of the squarely arranged population of individual trees illustrated in Fig. 1b. In this case, sample plot size for Method 1 was 25-m square plots and for Method 2 was 50-m square plots

	Individual tree mean basal area (m²)	Number of trees in the population	Population total basal area (m²)
True value	0.646	676	437
True standard error of a sample	0.036	–	–
Sampling with an area sampling frame—Method 1
Mean of all simulations	0.646	679	439
Standard error of simulation mean estimates	0.036	44	38
Mean of estimates of standard error of simulation means	0.036	44	37
Sampling with an area sampling frame—Method 2
Mean of all simulations	0.646	678	438
Standard error of simulation mean estimates	0.036	39	35
Mean of estimates of standard error of simulation means	0.036	39	35
Sampling with a list sampling frame
Mean of all simulations	0.646	–	437
Standard error of simulation mean estimates	0.034	–	23
Mean of estimates of standard error of simulation means	0.034	–	23