Broadscale Landscape Mapping Provides Insight into the Commonwealth of Dominica and Surrounding Islands Offshore Environment
Abstract
:1. Introduction
Approach
2. Materials and Methods
2.1. Study Area
2.2. Data
2.2.1. Bathymetric Data
2.2.2. Satellite and Oceanographic Model Derived Variables
2.3. Landscape Mapping
- Principal component analysis (PCA). PCA was conducted on the nine input variables to reduce the data to linearly independent Principal Components (PCs) and remove collinearity. These PCs account for the greatest variance in the data without needing to predetermine which variables should be used for the analysis. PCs with eigenvalues less than 1 are traditionally discarded following the Kaiser-Guttman criterion; however, the initial eigenvalues calculated from the larger dataset had one borderline value and so the study was performed using both values >1 and >0.97. A Varimax rotation of the retained PCs was performed, to clarify the loadings matrix structure, and the subsequent analysis was performed on the resulting rotated PCs (RPCs).
- Determine optimum number of clusters. A predefined number of clusters must be input into the K-means clustering algorithm. Here we used both the Calinski-Harabasz index (C-H) [40] and the elbow method [22] to determine the number of clusters. The C-H index is the ratio of the sum of inter-cluster variance to the intra-cluster variance; the highest value indicates the optimum number of clusters. The elbow method assesses the variance within clusters against a range of cluster values (here 1–15). The point at which increasing the number of clusters does not significantly lower the intra-cluster variance is the optimum number of clusters.
- K-means clustering. K-means clustering is a common algorithm used to partition marine environmental data [17,41]. The number of clusters for K-means clustering must be specified for this analysis; both the Calinski-Harabasz index (C-H) [40] and the elbow method [22] will be used to determine this value in an objective way. The K-means clustering algorithm uses an iterative method, whereby cluster centres are randomly allocated, and each data point is temporarily assigned to the cluster that minimises the distance between the focal point and the centre of the cluster in the multidimensional PC space. The centre points are then repeatedly shifted, the distances recalculated, and the data points re-allocated to the closest cluster centres, until the positions of the centroids are optimal or until the specified number of iterations has been reached.
- Landscape map. The final cluster value for each data point was plotted against the point location to create a landscape map of the study regions. Boxplots summarising the distribution of the original input abiotic variables against the K-means cluster values were created to assess the influence of the abiotic inputs on the cluster solution and determine the physical characteristics of each cluster.
- Confusion Index Map. To assess how well each data point fitted within its assigned cluster, a confusion index map was created using the inverse distance squared in attribute space between the data observation and each K-means cluster centre to give a cluster membership value. A quantitative uncertainty measurement can be calculated using, for each data point, the ratio of the second highest membership value versus the highest, known as a confusion index (CI) [19]. If the data point is well characterised by the assigned cluster, the CI value will approach zero. Conversely, if the data point is not dominated by the assigned cluster, and the membership values are spread across several clusters, the value will be closer to one. These values were plotted against the data observation location to create a confusion map. For more detail, see Hogg et al. [18].
3. Results
3.1. PCA and Eigenvalues
3.1.1. Larger Study Area
3.1.2. Smaller Study Area
3.2. Clustering and K-Means
3.2.1. Larger Study Area
3.2.2. Smaller Study Area
3.3. Broadscale Landscape Map
3.3.1. Larger Study Area
3.3.2. Smaller Study Area
3.4. Confusion Index Map
3.4.1. Larger Study Area
3.4.2. Smaller Study Area
4. Discussion
4.1. The Marine Landscape around Dominica
4.2. Unsupervised Classification: Methodological Considerations
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Bathymetric Derivatives | Description | Calculated |
---|---|---|
Slope | Gradient of bathymetry | Slope Spatial Analyst Tool in ArcMap (using a 3 × 3 cell neighbourhood) |
Topographic Position Index | Compares elevation of focal cell to all cells in a specified neighbourhood | Land Facet Corridor Tools extension in ArcMap, radius of 4 cells (1000 m) |
Terrain Ruggedness Index | The mean difference between a focal cell and the surrounding cells in a specified neighbourhood | SAGA GIS Terrain Analysis Morphometry, radius of 4 cells (1000 m) |
Plan Curvature | Curvature of the surface perpendicular to the slope direction | Curvature Spatial Analyst Tool in ArcMap (using a 3 × 3 cell neighbourhood) |
Satellite and Oceanographic Model Variables | Source | Calculated |
---|---|---|
Net Primary Production (mg C/m2/day) | Oregon State University Vertically Generalised Production Model | Monthly data averaged over 3 years (January 2016–December 2018) |
Salinity (PSU) | Copernicus Global Ocean Model Timeseries | |
Temperature (°C) | ||
Current (m/s) |
Larger Study Area | PC1 | PC2 | PC3 | PC4 | PC5 | PC6 | PC7 | PC8 | PC9 |
---|---|---|---|---|---|---|---|---|---|
Standard deviation | 1.684 | 1.411 | 1.330 | 0.990 | 0.862 | 0.611 | 0.468 | 0.294 | 0.057 |
Proportion of Variance (%) | 31.500 | 22.122 | 19.643 | 10.894 | 8.263 | 4.148 | 2.436 | 0.958 | 0.036 |
Cumulative Proportion (%) | 31.500 | 53.622 | 73.265 | 84.159 | 92.422 | 96.570 | 99.006 | 99.964 | 100.000 |
Eigenvalue | 2.835 | 1.991 | 1.768 | 0.980 | 0.744 | 0.373 | 0.219 | 0.086 | 0.003 |
Abiotic Variables (E3, Large) | RPC 1 | RPC 2 | RPC 3 |
---|---|---|---|
Depth | 0.829 | - | - |
Slope | - | 0.974 | - |
Plan Curvature | - | - | 0.943 |
Topographic Position Index | - | - | 0.942 |
Terrain Ruggedness Index | - | 0.975 | - |
Salinity | 0.837 | - | - |
Current | 0.352 | 0.441 | - |
Temperature | 0.908 | - | - |
Net Primary Productivity | 0.532 | - | - |
Abiotic Variables (E4, Large) | RPC 1 | RPC 2 | RPC 3 | RPC 4 |
---|---|---|---|---|
Depth | 0.592 | - | - | 0.642 |
Slope | - | 0.989 | - | - |
Plan Curvature | - | - | 0.944 | - |
Topographic Position Index | - | - | 0.942 | - |
Terrain Ruggedness Index | - | 0.989 | - | - |
Salinity | 0.908 | - | - | - |
Current | 0.556 | 0.315 | - | - |
Temperature | 0.909 | - | - | - |
Net Primary Productivity | 0.055 | - | - | 0.928 |
Smaller Study Area | PC 1 | PC 2 | PC 3 | PC 4 | PC 5 | PC 6 | PC 7 | PC 8 | PC 9 |
---|---|---|---|---|---|---|---|---|---|
Standard deviation | 1.661 | 1.471 | 1.300 | 0.936 | 0.818 | 0.714 | 0.487 | 0.306 | 0.031 |
Proportion of Variance (%) | 30.642 | 24.058 | 18.790 | 9.737 | 7.431 | 5.657 | 2.637 | 1.037 | 0.011 |
Cumulative Proportion (%) | 30.642 | 54.700 | 73.490 | 83.228 | 90.659 | 96.315 | 98.952 | 99.989 | 100.000 |
Eigenvalue | 2.758 | 2.165 | 1.691 | 0.876 | 0.669 | 0.509 | 0.237 | 0.093 | 0.001 |
Abiotic Variables (E3, Small) | RPC 1 | RPC 2 | RPC 3 |
---|---|---|---|
Depth | 0.798 | - | - |
Slope | - | 0.948 | - |
Plan Curvature | - | - | 0.937 |
Topographic Position Index | - | - | 0.931 |
Terrain Ruggedness Index | - | 0.948 | - |
Salinity | 0.893 | - | - |
Current | 0.338 | 0.535 | - |
Temperature | 0.951 | - | - |
Net Primary Productivity | - | −0.490 | - |
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Wardell, C.; Huvenne, V.A.I. Broadscale Landscape Mapping Provides Insight into the Commonwealth of Dominica and Surrounding Islands Offshore Environment. Remote Sens. 2022, 14, 1820. https://doi.org/10.3390/rs14081820
Wardell C, Huvenne VAI. Broadscale Landscape Mapping Provides Insight into the Commonwealth of Dominica and Surrounding Islands Offshore Environment. Remote Sensing. 2022; 14(8):1820. https://doi.org/10.3390/rs14081820
Chicago/Turabian StyleWardell, Catherine, and Veerle A. I. Huvenne. 2022. "Broadscale Landscape Mapping Provides Insight into the Commonwealth of Dominica and Surrounding Islands Offshore Environment" Remote Sensing 14, no. 8: 1820. https://doi.org/10.3390/rs14081820
APA StyleWardell, C., & Huvenne, V. A. I. (2022). Broadscale Landscape Mapping Provides Insight into the Commonwealth of Dominica and Surrounding Islands Offshore Environment. Remote Sensing, 14(8), 1820. https://doi.org/10.3390/rs14081820