Provider: Ingenta Connect
Database: Ingenta Connect
Content: application/x-research-info-systems
TY - ABST
AU - van Oort, P. A. J.
AU - Stein, A.
AU - Bregt, A. K.
AU - de Bruin, S.
AU - Kuipers, J.
TI - A Variance and Covariance Equation for Area Estimates with a Geographic Information System
JO - Forest Science
PY - 2005-08-01T00:00:00///
VL - 51
IS - 4
SP - 347
EP - 356
KW - forestry science
KW - polygons
KW - forest
KW - area
KW - forest resources
KW - forestry
KW - GIS
KW - forestry research
KW - natural resources
KW - natural resource management
KW - forest management
KW - environmental management
KW - error
KW - covariance
N2 - Geographic Information Systems automatically calculate the area of a polygon from the coordinate values of the vertices that describe its boundary. Uncertainty in these coordinate values results in uncertainty in area estimates. Earlier articles showed how area uncertainty of individual
polygons could be calculated. In this article we propose a covariance equation to quantify the impact of uncertainty in the position of a vertex on uncertainty in the area of all polygons sharing this vertex. The approach is based on the assumption of absence of spatial correlation in positional
errors, but includes variation in the positional accuracy. The equations were implemented and applied to a case study area, described by a set of 97 adjacent polygons with different per unit area utility values (€/ha). We were then able to calculate how uncertainty in the coordinate values
propagated into uncertainty in the utility value of the complete set of polygons. FOR. SCI. 51(4):347–356.
UR - http://www.ingentaconnect.com/content/saf/fs/2005/00000051/00000004/art00007
ER -