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Related Concept Videos

Uncertainty: Overview00:59

Uncertainty: Overview

In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor 't,' or...
Weighted Mean00:57

Weighted Mean

While taking the arithmetic, geometric, or harmonic mean of a sample data set, equal importance is assigned to all the data points. However, all the values may not always be equally important in some data sets. An intrinsic bias might make it more important to give more weightage to specific values over others.
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this particular...
Estimation of the Physical Quantities01:05

Estimation of the Physical Quantities

On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...

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Updated: Jul 3, 2026

Trajectory Data Analyses for Pedestrian Space-time Activity Study
16:14

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

Uncertainty-aware MAR planning with spatially explicit data-driven weighting.

Constantinos F Panagiotou1, Tiago Martins2, Ioannis Varvaris3

  • 1Eratosthenes Centre of Excellence, 82 Franklin Roosevelt, Limassol, 3012, Cyprus; Department of Civil Engineering and Geomatics, Cyprus University of Technology, Limassol, 3036, Cyprus.

The Science of the Total Environment
|July 1, 2026
PubMed
Summary
This summary is machine-generated.

Managed aquifer recharge (MAR) planning in Portugal

Keywords:
Data-driven weightingManaged aquifer rechargeProbabilistic suitability mappingSpatially explicit MCDAUncertainty-aware decision-support

Related Experiment Videos

Last Updated: Jul 3, 2026

Trajectory Data Analyses for Pedestrian Space-time Activity Study
16:14

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

Area of Science:

  • Hydrogeology and Water Resource Management
  • Environmental Science and Engineering
  • Geographic Information Systems (GIS) and Spatial Analysis

Background:

  • Managed aquifer recharge (MAR) is crucial for augmenting water availability and preserving groundwater quality.
  • Traditional MAR suitability assessments often lack robust uncertainty quantification.
  • Stakeholder involvement is key in selecting MAR suitability criteria.

Purpose of the Study:

  • To develop and apply an uncertainty-aware GIS-based multicriteria decision analysis (MCDA) framework for MAR suitability assessment.
  • To reduce subjectivity in criterion weighting and quantify uncertainty in MAR planning.
  • To identify robust MAR candidate areas in the Sado and Ribeira do Alentejo River Basins.

Main Methods:

  • Integrated GIS-MCDA with stratified stochastic sampling and Moran's I correlogram for weight generation.
  • Employed both correlation-based and Principal Component Analysis (PCA)-based weighting approaches.
  • Generated suitability-map ensembles to analyze spatial heterogeneity and uncertainty.

Main Results:

  • Most of the study area showed low-to-moderate MAR suitability (78% and 65% under PCA- and correlation-based methods, respectively).
  • The PCA-based approach exhibited greater variability in criterion importance compared to the correlation-based approach.
  • A final classification identified robust MAR candidate zones, conditionally suitable areas, and zones with low suitability or high uncertainty.

Conclusions:

  • The proposed uncertainty-aware GIS-MCDA framework offers a transferable methodology for evidence-based MAR planning.
  • Explicitly accounting for spatial heterogeneity and autocorrelation improves MAR suitability assessment reliability.
  • This approach facilitates informed decision-making and prioritization for MAR projects under uncertainty.