Temporal Matching of Unsupervised Cluster Structures for Monitoring Post-Catastrophic Floodplain Dynamics: A Case Study of Khortytsia Island
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Remote Sensing Metrics, Vegetation Data Sources, and EUNIS Habitat Identification
2.3. Preparation of Input Raster Data for Spectral Indices
2.4. Pooled z-Scaling of Predictors
2.5. Forming a Joint Sample of Pixels
2.6. Primary Clustering
2.7. Temporal Tracking and Identification of Superclusters
2.8. Spatial Memory and Markers of Spatial Identity
2.9. Construction of a Trajectory-Wide Cluster Library and Evaluation of Index Informativeness
2.10. Cluster Prediction for Full Rasters
2.11. Time-Integrated Cluster Model, Contextual Clustering, Temporal Diagnostics, and Analysis of Supercluster Compositional Dynamics
2.12. Second-Order Superclustering: Contextual Scenic Similarity
2.13. Identification of Second-Order Superclusters Based on Local Contextual Proximity
2.14. Analysis of the Temporal Compositional Dynamics of Second-Order Superclusters
2.15. Temporal Dynamics in Cluster Number
2.16. Validation of the Transition from a Common Sample to the Entire Raster
2.17. Settings for the Temporal Matching and Spatial-Memory Procedures in the Khortytsia Island Case Study
3. Results
3.1. Temporal Dynamics of Cluster Number
3.2. Validation of the Transition from the Common Sample to the Entire Raster
3.3. Interpretation of Clusters (Land Cover Classes) in Terms of EUNIS Habitat Types
3.4. Ordination of Spectral Classes in PCA Space and Interpretation of Principal Component Axes
3.5. Spectral Indices Underlying the Differentiation of Habitat-Related Classes
3.6. Seasonal Dynamics of Spectral Classes Along PCA and Residual PCA Axes
3.7. Second-Order Superclusters and Their Correspondence to EUNIS Habitat Categories
3.8. Temporal Dynamics of Second-Order Superclusters
4. Discussion
4.1. Hierarchical Organisation of Clusters Derived from Unsupervised Classification of Remote Sensing Data
4.2. Evolution of the Nominal Identifier Within the Cluster Hierarchy
4.3. The Raster Paradigm and the Hierarchical Shift in Clustering Criteria
4.4. Ecological and Landscape Interpretation of the Cluster Hierarchy
4.5. Ecological Interpretation and Practical Relevance of Higher-Order Clusters
4.6. Limitations and Implications for Future Research
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Symbol in Manuscript | Script Parameter | Value Used | Role in the Algorithm | Basis for Setting |
|---|---|---|---|---|
| memory_alpha | 0.8 | Weight of spatial memory relative to feature similarity in the combined matching score | Set to give greater weight to spatial inheritance during temporal matching | |
| memory_sigma | 3.5 | Scaling parameter converting feature-space distance into similarity | Set empirically for the feature-similarity transformation | |
| time_match_max_dist | 15.0 | Maximum centroid distance allowing absorption into an existing global cluster | Set as a permissive upper bound for admissible feature-space matching | |
| memory_min_spatial | 0.000 | Minimum spatial score required before absorption is considered | Set to avoid excluding matches on spatial grounds alone | |
| memory_min_score | 0.30 | Minimum combined score required for absorption into an existing global cluster | Set as the main acceptance threshold for temporal matching | |
| spatial_dilution_power | 1.0 | Controls attenuation of the spatial identity marker after reassignment | Default retained | |
| spatial_marker_floor | 0.0 | Lower bound for the spatial identity marker | Default retained | |
| spatial_marker_eps | Small constant preventing exact zeros in the marker values | Default retained | ||
| memory_eta | 0.07 | Learning coefficient in the spatial presence memory update | Default retained | |
| memory_gamma | 0.005 | Forgetting coefficient in the spatial presence memory update | Default retained |
| Rank | Model | Description | AIC | Δ(AIC) | Deviance of Explained | Radj2 |
|---|---|---|---|---|---|---|
| 1 | nb1 | linear global trend | 263.95 | 0.00 | 0.10 | 0.08 |
| 2 | nb2 | smooth global trend | 263.95 | 0.00 | 0.10 | 0.08 |
| 3 | nb4 | linear trend + common season | 263.95 | 0.00 | 0.10 | 0.08 |
| 4 | nb5 | smooth trend + common season | 263.95 | 0.00 | 0.10 | 0.08 |
| 5 | nb0 | intercept only | 264.20 | 0.25 | 0.00 | 0.00 |
| 6 | nb3 | common seasonal curve | 264.20 | 0.25 | 0.00 | 0.00 |
| 7 | nb7 | year effect + common season | 266.59 | 2.64 | 0.16 | 0.12 |
| 8 | nb6 | year effect | 266.59 | 2.64 | 0.16 | 0.12 |
| 9 | nb8 | year effect + year-specific season | 267.21 | 3.25 | 0.20 | 0.15 |
| Test | Df | Deviance | p-Value |
|---|---|---|---|
| NB0 vs. NB1: global linear trend | 1 | 2.25 | 0.134 |
| NB0 vs. NB2: global smooth trend | 1 | 2.25 | 0.134 |
| NB0 vs. NB3: common season | 0 | 0.00 | <0.001 |
| NB1 vs. NB4: season beyond linear trend | 0 | 0.00 | <0.001 |
| NB2 vs. NB5: season beyond smooth trend | 0 | 0.00 | <0.001 |
| NB0 vs. NB6: year effect | 3 | 3.61 | 0.307 |
| NB6 vs. NB7: common season beyond the year | 0 | 0.00 | <0.001 |
| NB7 vs. NB8: year-specific season | 1 | 0.75 | 0.391 |
| Rank | Model | Description | Df | AIC | Δ(AIC) | Deviance of Explained | Radj2 |
|---|---|---|---|---|---|---|---|
| 1 | m8 | Year effect + year-specific season | 12 | 221.48 | 0.00 | 0.48 | 0.39 |
| 2 | m9 | Smooth trend + year effect + year-specific season | 12 | 222.77 | 1.29 | 0.48 | 0.38 |
| 3 | m8w | Year effect + wavy global trend | 9 | 227.98 | 6.50 | 0.36 | 0.29 |
| 4 | m8gp | Year effect + GP global trend | 9 | 228.23 | 6.74 | 0.36 | 0.28 |
| 5 | m6 | Year effect | 5 | 236.96 | 15.48 | 0.16 | 0.12 |
| 6 | m7 | Year effect + common season | 5 | 236.96 | 15.48 | 0.16 | 0.12 |
| 7 | m1 | Linear global trend | 3 | 237.09 | 15.60 | 0.10 | 0.09 |
| 8 | m2gp | Gaussian process global trend | 3 | 237.09 | 15.60 | 0.10 | 0.09 |
| 9 | m2w | Wavy global trend (k = 8) | 3 | 237.09 | 15.61 | 0.10 | 0.09 |
| 10 | m2 | Smooth global trend | 3 | 237.09 | 15.61 | 0.10 | 0.09 |
| 11 | m5 | Smooth trend + common season | 3 | 237.09 | 15.61 | 0.10 | 0.09 |
| 12 | m5w | Wavy trend + common season | 3 | 237.09 | 15.61 | 0.10 | 0.09 |
| 13 | m4 | Linear trend + common season | 3 | 237.09 | 15.61 | 0.10 | 0.09 |
| 14 | m5gp | Gaussian process trend + common season | 3 | 237.09 | 15.61 | 0.10 | 0.09 |
| 15 | m0 | Intercept only | 2 | 241.54 | 20.06 | 0.00 | 0.00 |
| 16 | m3 | Common seasonal curve | 2 | 241.54 | 20.06 | 0.00 | 0.00 |
| Class | A | C | D | E | F | G | H | I | J | K | L | M | N | O | P | UA (%) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | 46.0k | 35 | 172 | 552 | 10 | 47 | 31 | 90 | 291 | 4 | 30 | 503 | 15 | 318 | 1 | 95.6 |
| C | 22 | 20.6k | 0 | 22 | 47 | 11 | 104 | 0 | 1 | 11 | 3 | 0 | 4 | 1 | 40 | 98.7 |
| D | 464 | 0 | 4.8k | 1 | 4 | 2 | 0 | 179 | 39 | 23 | 9 | 65 | 1 | 137 | 44 | 83.1 |
| E | 636 | 74 | 1 | 17.6k | 14 | 92 | 97 | 100 | 108 | 20 | 1 | 623 | 1 | 221 | 0 | 89.8 |
| F | 51 | 127 | 20 | 9 | 2.3k | 58 | 45 | 119 | 8 | 34 | 42 | 125 | 19 | 2 | 48 | 76.4 |
| G | 136 | 69 | 10 | 133 | 18 | 1.7k | 18 | 29 | 0 | 31 | 60 | 5 | 40 | 2 | 40 | 73.7 |
| H | 57 | 204 | 3 | 42 | 10 | 34 | 2.5k | 11 | 18 | 40 | 3 | 41 | 14 | 36 | 124 | 80.0 |
| I | 356 | 1 | 246 | 62 | 29 | 8 | 9 | 8.4k | 239 | 72 | 20 | 602 | 10 | 99 | 14 | 82.6 |
| J | 70 | 5 | 23 | 243 | 7 | 4 | 35 | 263 | 10.7k | 56 | 38 | 897 | 6 | 359 | 170 | 83.1 |
| K | 96 | 44 | 54 | 18 | 59 | 65 | 44 | 122 | 169 | 2.3k | 259 | 88 | 62 | 38 | 78 | 66.2 |
| L | 25 | 5 | 2 | 3 | 50 | 37 | 3 | 49 | 43 | 147 | 4.2k | 18 | 89 | 0 | 94 | 88.2 |
| M | 1264 | 7 | 70 | 732 | 76 | 9 | 18 | 280 | 575 | 20 | 15 | 24.4k | 15 | 111 | 45 | 88.3 |
| N | 239 | 102 | 4 | 0 | 29 | 45 | 18 | 1 | 3 | 50 | 124 | 26 | 1.6k | 21 | 9 | 70.2 |
| O | 762 | 5 | 239 | 588 | 2 | 1 | 80 | 94 | 368 | 7 | 0 | 199 | 11 | 6.9k | 0 | 74.5 |
| P | 3 | 118 | 64 | 2 | 42 | 38 | 37 | 27 | 112 | 40 | 117 | 64 | 10 | 11 | 9.0k | 93.0 |
| PA (%) | 91.7 | 96.3 | 84.0 | 88.0 | 85.2 | 78.6 | 82.5 | 86.0 | 84.5 | 80.9 | 85.4 | 88.2 | 84.2 | 83.5 | 92.7 | – |
| Plant Association * | Land Cover Class (Cluster) | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | C | D | E | F | G | H | I | J | K | L | M | N | O | P | |
| 1 | – | – | – | – | – | 64.3 | – | – | 22.1 | – | – | – | 29.6 | 22.4 | – |
| 2 | – | 20.4 | – | – | – | 20.6 | – | – | 53.4 | 14.4 | – | 21.0 | 16.9 | 11.1 | – |
| 3 | – | – | – | – | – | – | – | – | 6.4 | 42.3 | – | 51.1 | – | – | – |
| 4 | – | – | – | – | – | 15.1 | – | – | 18.2 | – | – | – | 53.4 | 16.8 | – |
| 5 | – | 12.9 | – | – | 8.1 | – | 58.3 | – | – | – | – | – | – | – | – |
| 6 | – | 12.9 | – | – | 13.3 | – | – | – | – | – | 75.0 | – | – | – | – |
| 7 | – | 44.6 | – | – | 22.3 | – | – | – | – | 16.4 | – | 27.9 | – | – | – |
| 8 | – | – | – | 9.2 | 36.0 | – | 22.3 | – | – | – | – | – | – | – | 12.8 |
| 9 | 38.0 | – | 15.1 | 10.8 | 10.2 | – | – | 24.1 | – | 14.4 | – | – | – | 33.0 | 13.8 |
| 10 | 9.7 | – | – | – | – | – | – | – | – | – | – | – | – | – | 11.2 |
| 11 | – | – | 9.4 | – | 10.2 | – | – | – | – | – | 25.0 | – | – | – | 39.0 |
| 12 | 12.2 | – | – | – | – | – | 19.4 | – | – | – | – | – | – | – | 14.1 |
| 13 | – | – | – | 18.4 | – | – | – | 45.0 | – | 12.5 | – | – | – | – | – |
| 14 | 10.2 | – | 8.8 | 15.4 | – | – | – | 13.4 | – | – | – | – | – | – | – |
| 15 | 5.6 | – | – | – | – | – | – | – | – | – | – | – | – | – | 3.1 |
| 16 | 13.0 | – | – | – | – | – | – | 17.5 | – | – | – | – | – | – | 6.0 |
| 17 | 11.2 | – | 15.8 | 46.2 | – | – | – | – | – | – | – | – | – | 11.1 | – |
| 18 | – | 9.3 | 5.6 | – | – | – | – | – | – | – | – | – | – | – | – |
| 19 | – | – | 13.3 | – | – | – | – | – | – | – | – | – | – | 5.6 | – |
| 20 | – | – | 32.0 | – | – | – | – | – | – | – | – | – | – | – | – |
| Sample areas | 122 | 56 | 82 | 82 | 55 | 24 | 60 | 93 | 20 | 39 | 43 | 30 | 22 | 48 | 102 |
| Spectral Index | Index Rank | PCA1 | PCA2 | rPCA1 | rPCA2 | rPCA3 | rPCA4 |
|---|---|---|---|---|---|---|---|
| AC_Index | 20 | – | 0.200 | 0.508 | −0.523 | – | 0.212 |
| BIG2 | 11 | – | – | −0.277 | −0.546 | – | −0.289 |
| CIGRN | 7 | – | – | – | – | – | – |
| GLI | 14 | – | – | – | −0.336 | – | −0.294 |
| GNDVI | 18 | – | – | – | – | – | – |
| LSWI | 32 | −0.202 | – | – | – | – | 0.244 |
| MNDW | 1 | – | 0.259 | −0.264 | – | – | – |
| MSAVI | 33 | – | – | – | – | – | – |
| MTVI2 | 15 | −0.203 | – | – | – | – | – |
| NBRI | 6 | −0.211 | – | – | – | – | – |
| NDBaI | 5 | – | – | −0.219 | – | – | 0.263 |
| NDChla | 19 | – | – | – | – | −0.277 | −0.209 |
| NDGCI | 8 | – | – | – | – | – | – |
| NDI | 28 | 0.216 | – | – | – | – | −0.207 |
| NDII | 12 | – | – | −0.241 | – | – | – |
| NDIO | 22 | – | −0.264 | – | −0.211 | 0.366 | – |
| NDNIRBlue | 17 | – | −0.330 | – | – | – | – |
| NDRE | 29 | −0.201 | – | – | – | – | – |
| NDREI | 24 | – | – | – | – | – | – |
| NDTI | 2 | – | – | – | – | 0.272 | – |
| NDTSM | 10 | – | – | – | – | – | – |
| NDVI | 9 | – | – | – | – | – | – |
| NDWI1 | 34 | – | – | – | – | – | – |
| NDWI2 | 4 | – | 0.267 | −0.211 | – | 0.275 | 0.300 |
| RBNDVI | 30 | – | – | – | – | – | – |
| RedEdge_NDVI1 | 25 | −0.203 | – | – | – | – | – |
| RedEdge_NDVI2 | 31 | −0.202 | – | – | – | – | – |
| REDI | 26 | – | – | – | – | – | – |
| RENDVI | 27 | −0.203 | – | – | – | – | – |
| RI | 3 | – | 0.289 | −0.252 | – | – | – |
| SIPI | 36 | – | – | – | – | – | – |
| SVSI | 23 | – | −0.247 | −0.240 | – | 0.384 | – |
| TCI_BRIGHT | 21 | – | −0.317 | −0.389 | – | −0.413 | 0.382 |
| TCI_GREEN | 16 | −0.212 | – | – | – | – | – |
| TCI_WET | 13 | – | 0.297 | – | – | 0.338 | −0.257 |
| VARI | 35 | – | – | – | – | −0.266 | – |
| Cluster | Label | Habitat | Index_1 | Index_2 | Index_3 |
|---|---|---|---|---|---|
| 1 | A | T1474 Central and eastern Pontic poplar forests | MNDW | CIGRN | NDWI2 |
| 2 | B | C2.3 Permanent non-tidal, smooth-flowing watercourses | MNDW | NDTSM | NDGCI |
| 3 | C | F9.1282 Ponto-Sarmatic riverine willow scrub | RI | NDWI2 | AC_Index |
| 4 | D | R11 Pannonian and Pontic sandy steppe | MNDW | NDBaI | RI |
| 5 | E | T1315 Sarmatic riverine oak forests | NDTI | MNDW | NDVI |
| 6 | F | Q62 Periodically exposed shore with stable, mesotrophic sediments with pioneer or ephemeral vegetation | TCI_WET | SVSI | CIGRN |
| 7 | G | C3.6 Unvegetated or sparsely vegetated shores with soft or mobile sediments (with a predominance of Bromo tectorum-Corispermetum leptopteri) | TCI_BRIGHT | AC_Index | SVSI |
| 8 | H | Q5132 Typha angustifolia beds | NDWI2 | NDBaI | RI |
| 9 | I | V37 Annual anthropogenic herbaceous vegetation | NDBaI | MNDW | RI |
| 10 | J | C3.6 Unvegetated or sparsely vegetated shores with soft or mobile sediments (with a predominance of Chenopodietum stricti) | AC_Index | SVSI | TCI_BRIGHT |
| 11 | K | C3.6 Unvegetated or sparsely vegetated shores with soft or mobile sediments (with a predominance of Portulacetum oleracei) | TCI_BRIGHT | TCI_WET | NDIO |
| 12 | L | Q61 Periodically exposed shore with stable, eutrophic sediments with pioneer or ephemeral vegetation | NDNIRBlue | NDREI | RBNDVI |
| 13 | M | C3.6 Unvegetated or sparsely vegetated shores with soft or mobile sediments (with a predominance of Portulacetum oleracei and BC Cyperus fuscus) | NDREI | AC_Index | RBNDVI |
| 14 | N | C3.6 Unvegetated or sparsely vegetated shores with soft or mobile sediments (dominated by Amarantho retroflexi-Echinochloetum cruris-galli) | TCI_BRIGHT | TCI_WET | SVSI |
| 15 | O | C3.6 Unvegetated or sparsely vegetated shores with soft or mobile sediments (dominated by Populetum nigro-albae) | TCI_BRIGHT | TCI_WET | SVSI |
| 16 | P | Q51 Tall-helophyte bed | NDTI | NBRI | NDVI |
| Habitat | Second-Order Superclusters | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| T1474 | – | – | – | – | 32.6 | 28.9 | – | 76.9 | 96.6 | 40.4 |
| C2.3 | 19.7 | 100.0 | 48.0 | – | – | – | – | – | – | – |
| F9.1282 | – | – | – | 7.2 | 1.7 | 34.4 | – | – | – | – |
| R11 | – | – | – | 10.3 | 40.8 | 2.0 | 5.2 | 8.9 | 1.5 | 4.3 |
| T1315 | – | – | – | 28.7 | 12.0 | 1.2 | 4.4 | 3.2 | 1.9 | – |
| Q62 | – | – | – | 10.1 | 3.3 | 7.5 | – | – | – | – |
| C3.6 | 7.6 | – | – | 12.7 | – | – | – | – | – | – |
| Q5132 | – | – | – | 2.3 | 1.9 | 16.9 | – | – | – | 4.7 |
| V37 | – | – | – | 2.2 | 1.4 | 0.8 | 38.7 | – | – | 50.6 |
| C3.6 | 4.3 | – | 2.6 | 16.6 | – | – | – | – | – | – |
| C3.6 | 16.2 | – | – | 9.8 | – | – | – | – | – | – |
| Q61 | – | – | 40.5 | – | – | – | – | – | – | – |
| C3.6 | 10.7 | – | 8.9 | – | – | – | – | – | – | – |
| C3.6 | 32.5 | – | – | – | – | – | – | – | – | – |
| C3.6 | 9.1 | – | – | – | – | – | – | – | – | – |
| Q51 | – | – | – | – | 6.4 | 8.2 | 51.7 | 11.0 | – | – |
| Second-Order Supercluster | EUNIS Code | Trend | SEASON | Dynamic_Type | ||
|---|---|---|---|---|---|---|
| Radj2 | p-Level | Radj2 | p-Level | |||
| 1 | C3 | 0.45 | 0.001 | 0.07 | 0.001 | directional trend |
| 2 | C2 | 0.33 | 0.001 | 0.03 | 0.06 | directional trend |
| 3 | Q6 | 0.23 | 0.001 | 0.19 | 0.001 | mixed |
| 4 | T13 | 0.35 | 0.001 | 0.17 | 0.001 | directional trend |
| 5 | R1 | 0.04 | 0.005 | 0.24 | 0.001 | seasonal |
| 6 | F9 | 0.11 | 0.001 | 0.21 | 0.001 | seasonal |
| 7 | Q5 | 0.05 | 0.001 | 0.22 | 0.001 | seasonal |
| 8 | T14/R1/Q5 | 0.11 | 0.001 | 0.31 | 0.001 | seasonal |
| 9 | T14 | 0.05 | 0.004 | 0.18 | 0.001 | seasonal |
| 10 | V37 | 0.45 | 0.001 | 0.09 | 0.001 | directional trend |
| Conceptual Feature | Primary Cluster | First-Order Supercluster | Second-Order Supercluster |
|---|---|---|---|
| Nominal identifier | Unique | Coordinated across different time slices based on spectral and spatial similarity | Coordinated across space and time based on patch–mosaic invariance |
| Method of delineation | Pixel-wise classification | Pixel-wise classification | Pixel-wise classification |
| Criterion | Spectral homogeneity | Spectral homogeneity and spatial continuity | Profile of affinities to first-order superclusters |
| Ecological interpretation | Lower-level habitat type | Lower-level habitat type | Higher-level habitat type |
| Landscape interpretation | Ecotope | Ecotope | Chorological unit (microchore) |
| Landscape memory and recognition | Implicitly universalised snapshot memory | Persistence, forgetting, and novelty | Memory and recognition of invariant spatiotemporal mosaics |
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Tutova, H.; Lisovets, O.; Kunakh, O.; Zhukov, O. Temporal Matching of Unsupervised Cluster Structures for Monitoring Post-Catastrophic Floodplain Dynamics: A Case Study of Khortytsia Island. Land 2026, 15, 624. https://doi.org/10.3390/land15040624
Tutova H, Lisovets O, Kunakh O, Zhukov O. Temporal Matching of Unsupervised Cluster Structures for Monitoring Post-Catastrophic Floodplain Dynamics: A Case Study of Khortytsia Island. Land. 2026; 15(4):624. https://doi.org/10.3390/land15040624
Chicago/Turabian StyleTutova, Hanna, Olena Lisovets, Olha Kunakh, and Olexander Zhukov. 2026. "Temporal Matching of Unsupervised Cluster Structures for Monitoring Post-Catastrophic Floodplain Dynamics: A Case Study of Khortytsia Island" Land 15, no. 4: 624. https://doi.org/10.3390/land15040624
APA StyleTutova, H., Lisovets, O., Kunakh, O., & Zhukov, O. (2026). Temporal Matching of Unsupervised Cluster Structures for Monitoring Post-Catastrophic Floodplain Dynamics: A Case Study of Khortytsia Island. Land, 15(4), 624. https://doi.org/10.3390/land15040624

