Short Communication
In absence of reliable models and prevailing data paucity expert judgments constitute a valuable alternative for land degradation assessments. Yet, these qualitative expert opinions are branded as subjective and non-reproducible as tests for consistency are missing and qualitative classes remain difficult to interpret. This communication summarizes formal procedures to test expert judgment for consistency, reproducibility while correlation with quantitative data makes qualitative judgments interpretable.
Land Degradation
Devastating effects of land degradation on natural resource quality, landscape heritages and ecology have far reaching consequences for current and future human well-being [1]. The cry for action to curb the catastrophic effects of land degradation at national scale, the level where most decisions on land use take place, seem, therefore, justified [2]. Yet, assessing degradation processes at larger scale is not an easy task. Despite vast resources spent on development of degradation models there are hitherto no reliable quantitative assessment methods available to prioritize interventions at regional or national scale. The main reason is the chaotic [3] and highly unpredictable nature of the degradation process that is influenced by many factors, some of which are poorly understood [4]. Indeed absence of dense and long term monitoring networks impede explanation of the yearto- year variation of land degradation in its geographical dependence of natural resources and land use [5]. Instead land degradation assessments increasingly resort on qualitative expert opinions [6] that express the state of land degradation in ordered qualitative classes [7]; information that is easy to collect and inexpensive. Yet, principal criticism on uniformity, reproducibility and interpretability permeate these assessments and this communication aims to address these concerns and by introducing tests for consistency, formalizing the relationship between expert judgments and explanatory variables and quantifying boundaries of the qualitative assessments.
Consistency
Consistency can be tested by comparing expert judgments on land degradation for similar combinations of spatially explicit information on biophysical conditions, land use and where available socio-economic information. In practice, these attributes are categorized and spatially overlaid to identify map units (of analysis) that are unique in their combination of spatial attributes. The state of degradation for obtained combinations is assessed by experts. Reporting on consistency compares, for identical sites, the frequency of similar expert judgments and detailed specification on one or more class deviations [8].
Reproducibility
The relationship between expert assessments and a set of explanatory variables is formalized by estimating a qualitative response model. Land degradation is represented by an unknown continuous variable y and related to independent variables x.
Assuming additive error terms the underlying process is represented as:
where i are observations, Β the parameters to be estimated and ei the disturbance, independent across observations. Ordered land degradation classes are observed as zi. Adjacent intervals of yi correspond with qualitative information zi, as follows:
Disturbances ei of the probability model are assumed to possess a logistic distribution, leading to a cumulative logistic transformation function ?, with explicit form: 1+ e-1 (μi - Β X).
Parameters Β and thresholds (μ1,….., μn-1) are simultaneously estimated by maximizing probability of a correct classification by experts. Significance of estimated parameters is tested by Chi-square statistics while a likelihood ratio tests overall quality of the estimation. Accuracy of the estimated model is evaluated by a hit ratio, the percentage of correctly predicted observations, while a 10-fold crossvalidation verifies model robustness for inclusion or exclusion of observations.
Interpretability
Boundaries of the ordered qualitative response models can be quantified by using real-valued process data [9] as independent variables in the above described estimation against expert classes as dependent variables. The estimation expresses qualitative class boundaries into quantitative values generated by the degradation process. Specifically, by default, cut- off points of expert classes is equal to the cumulative probability value of 0.5. Hence, we can define:
Expresses threshold values μi in physical units of the degradation process.
Key Role
Formalizing expert assessments plays a key role in addressing land degradation hazard. Expert judgments can be collected fast and relatively cheap while formal test procedures can strengthen the expert capacity to ensure that assessments are applied with confidence.
References
- Sustainable Development Knowledge Platform. Sustainable Development. 2018.
- Global land outlook - Key messages. United Nations Convention to Combat Desertification. 2017.
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- Bastola S, Dialynas YG, Bras RL, Noto LV, Istanbulluoglu E. The role of vegetation on gully erosion stabilization at a severely degraded landscape: A case study from Calhoun Experimental Critical Zone Observatory. Geomorphology. 2018; 308: 25-39.
- Vanmaercke M, Poesen J, Van Mele B, Demuzere M, Bruynseels A, Golosov V. How fast do gully headcuts retreat? Earth-Science Reviews. 2016; 154: 336-355.
- Blanco PD, Hardtke LA, Rostagno CM, Del Valle HF, Metternicht GI. Soil Degradation in Peninsula Valdes: Causes, Factors, Processes, and Assessment Methods. Late Cenozoic of Península Valdés, Patagonia, Argentina. 2017; 191-213.
- Abrahams D. Overland Flow: Hydraulics and Erosion Mechanics. 1992.
- Sonneveld BGJS, Bai Z, Ndiaye DS, Bindraban PS. Comparing Rainfall Use Efficiency Trends with Expert Judgments for Nation-Wide Land Degradation Assessments: The Case of Senegal. Journal of Sustainable Development. 2012; 5: 116-135.
- Greene WH. Econometric Analysis. 1991.