Given the different ways of estimating errors in DEMs
(e.g. spatially uniform, fuzzy inference
systems, user-specified spatially variable, etc.), there will be lots of possible combinations for propagating those errors
into the DoD. In addition there are at least three possibilities for what one does with the propagated errors into the DoD:
- Simple minimum level of detection thresholding
- Probabilistic thresholding (e.g. Lane et al. 2003; pp. 252-254)
- Weighted probabilistic thresholding (e.g. Lane et al. 2003; pp. 252-254)
you use probabilistic thresholds, you can also use Bayes Theorem to
update the probability that change is real with additional information
by the following steps:
- Treat the probabilities estimated from the propagated errors as an a prior probablity
- Specify a conditional probability with additional information you may have (e.g. spatial coherence filter)
- Calculate the posterior probability with Bayes Theorem and use this to threshold the DoD
In the previous version of the software (DoD 3.0
a wizard guided the user through six potential pathways that
represented different combinations of techniques for estimating errors,
updating probabilities and thresholding DoDs (See flowchart at right).
In GCD 4.0 more combinations of these techniques are allowed and we
anticipate that in GCD 5.0
even more combinations will be allowed. The choice of which 'pathway'
is best can not be prescribed and is something that a user needs to
exercise judgment with based on their data and motivations for doing
change detection in the first place.
- Chapter 4 of Wheaton JM. 2008. Uncertainty
in Morphological Sediment Budgeting of Rivers. Unpublished
PhD Thesis, University of Southampton, Southampton, 412 pp.
- Lane SN,
Westaway RM and Hicks DM. 2003. Estimation of erosion and deposition
volumes in a large, gravel-bed, braided river using synoptic remote
sensing. Earth Surface Processes and Landforms. 28(3): 249-271. DOI: 10.1002/esp.483.