Uncertainties Associated with Arithmetic Map Operations in GIS.

Abstract:

:Arithmetic map operations are very common procedures used in GIS to combine raster maps resulting in a new and improved raster map. It is essential that this new map be accompanied by an assessment of uncertainty. This paper shows how we can calculate the uncertainty of the resulting map after performing some arithmetic operation. Actually, the propagation of uncertainty depends on a reliable measurement of the local accuracy and local covariance, as well. In this sense, the use of the interpolation variance is proposed because it takes into account both data configuration and data values. Taylor series expansion is used to derive the mean and variance of the function defined by an arithmetic operation. We show exact results for means and variances for arithmetic operations involving addition, subtraction and multiplication and that it is possible to get approximate mean and variance for the quotient of raster maps.

journal_name

An Acad Bras Cienc

authors

Yamamoto JK,Kikuda AT,Rampazzo GJ,Leite CBB

doi

10.1590/0001-3765201820170589

subject

Has Abstract

pub_date

2018-08-01 00:00:00

pages

2025-2048

issue

2 suppl 1

eissn

0001-3765

issn

1678-2690

pii

S0001-37652018000502025

journal_volume

90

pub_type

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