Environ Monit Assess (2010) 164:403–421
DOI 10.1007/s10661-009-0902-0
Monitoring landscape metrics by point sampling: accuracy
in estimating Shannon’s diversity and edge density
Habib Ramezani · Sören Holm ·
Anna Allard · Göran Ståhl
Received: 22 January 2009 / Accepted: 6 April 2009 / Published online: 5 May 2009
© Springer Science + Business Media B.V. 2009
Abstract Environmental monitoring of lands-
capes is of increasing interest. To quantify land-
scape patterns, a number of metrics are used,
of which Shannon’s diversity, edge length, and
density are studied here. As an alternative to
complete mapping, point sampling was applied
to estimate the metrics for already mapped
landscapes selected from the National Inventory
of Landscapes in Sweden (NILS). Monte-Carlo
simulation was applied to study the performance
of different designs. Random and systematic sam-
plings were applied for four sample sizes and five
buffer widths. The latter feature was relevant for
edge length, since length was estimated through
the number of points falling in buffer areas around
edges. In addition, two landscape complexities
were tested by applying two classification schemes
with seven or 20 land cover classes to the NILS
data. As expected, the root mean square error
(RMSE) of the estimators decreased with increas-
ing sample size. The estimators of both metrics
were slightly biased, but the bias of Shannon’s
diversity estimator was shown to decrease when
H. Ramezani (B ) · S. Holm · A. Allard · G. Ståhl
Department of Forest Resource Management,
Swedish University of Agriculture Science, SLU,
901 83 Umeå, Sweden
e-mail: Habib.Ramezani@srh.slu.se,
Ramezani.habib@gmail.com
sample size increased. In the edge length case, an
increasing buffer width resulted in larger bias due
to the increased impact of boundary conditions;
this effect was shown to be independent of sample
size. However, we also developed adjusted esti-
mators that eliminate the bias of the edge length
estimator. The rates of decrease of RMSE with in-
creasing sample size and buffer width were quan-
tified by a regression model. Finally, indicative
cost–accuracy relationships were derived showing
that point sampling could be a competitive alter-
native to complete wall-to-wall mapping.
Keywords Monitoring landscapes ·
Landscape pattern metrics ·
Root mean square error ·
Monte-Carlo simulation · Bias · Cost efficiency ·
Wall-to-wall · Buffer area
Introduction
Due to rapid and global changes in our environ-
ment, there is a need for environmental monitor-
ing and assessment at broad scales such as the
landscape level (Turner et al. 2001; Ricotta et al.
2003). Large-scale monitoring programs have in-
creasingly been established over the past decades;
for instance, the Environmental Monitoring and
Assessment Program of the US Environment
Protection Agency (1994), the Norwegian 3Q