## 3 Results
### Determination of Land-Cover Changes
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Coverages** & **Footprint** & **Soundness of the Transition** & **Description** \\ \hline _W to S_ & _3.1_ & _1.0_ & _Soil wins. Soil replaces water._ \\ \hline W to We & \(-2.5\) & \(-1.0\) & Wetland wins. Wetland does not replace water. \\ \hline W to Mo & \(-3.9\) & \(-0.8\) & Moorland wins. Moorland does not replace water. \\ \hline _C to Pz_ & _1.0_ & _0.7_ & _Pasture wins. Pasture replaces cultivation._ \\ \hline C to S & \(-0.4\) & \(-7.0\) & Soil wins. Soil does not replace the crop. \\ \hline C to Mo & \(-2.4\) & \(-0.9\) & Moorland wins. Moorland does not replace cultivation. \\ \hline Pz to C & \(-0.8\) & \(-0.4\) & Crop wins. Crop does not replace pasture. \\ \hline Pz to S & \(-2.6\) & \(-1.0\) & Soil cover wins. Soil does not replace pasture. \\ \hline Pz to We & \(-0.1\) & \(-4.0\) & Wetland wins. Wetland does not replace pasture. \\ \hline Pz to Mo & \(-3.0\) & \(-1.0\) & Moorland wins. Moorland does not replace pasture. \\ \hline PF to C & \(-0.2\) & \(-3.3\) & Crop wins. Crop does not replace forest plantations. \\ \hline PF to S & \(-1.0\) & \(-8.0\) & Soil wins. Soil replaces forest plantations. \\ \hline PF to Mo & \(-0.5\) & \(-1.5\) & Moorland wins. Moorland does not replace forest plantations. \\ \hline _PF to Pz_ & _1.0_ & _0.6_ & _Pasture wins. Pasture replaces forest plantations._ \\ \hline S to C & \(-0.9\) & \(-1.0\) & Crop wins. Crop does not replace soil. \\ \hline S to PF & \(-0.4\) & \(-0.6\) & Forest plantations win. Forest plantations does not replace soil. \\ \hline S to We & \(-1.0\) & \(-0.8\) & Wetland wins. Wetland does not replace soil. \\ \hline S to Mo & \(-0.5\) & \(-4.0\) & Moorland wins. Moorland does not replace soil. \\ \hline _S to Pz_ & _0.7_ & _0.4_ & _Pasture wins. Pasture replaces soil._ \\ \hline S to W & \(-0.1\) & \(-0.4\) & Water wins. Water is not a substitute for soil. \\ \hline We to C & \(-0.7\) & \(-0.5\) & Crop wins. Crop does not replace wetland. \\ \hline We to W & \(-2.6\) & \(-1.0\) & Water wins. Water does not replace wetland. \\ \hline We to Mo & \(-0.1\) & \(-4.0\) & Moorland wins. Moorland does not replace wetland. \\ \hline _We to Pz_ & _3.9_ & _1.0_ & _Pasture wins. Pasture replaces wetlands._ \\ \hline We to S & \(-0.2\) & \(-5.3\) & Soil wins. Soil does not replace wetland. \\ \hline Mo to C & \(-0.6\) & \(-0.3\) & Crop wins. Crop does not replace moorland. \\ \hline _Mo to Pz_ & _5.0_ & _2.0_ & _Pasture wins. Pasture replaces moorland._ \\ \hline Mo to PF & \(-0.4\) & \(-1.0\) & Forest plantations win. Forest plantations do not replace moorland. \\ \hline Mo to PS & \(-0.4\) & \(-0.4\) & Soil wins. Soil does not replace moorland. \\ \hline Mo to We & \(-0.6\) & \(-0.1\) & Wetland wins. Wetland does not replace moorland. \\ \hline Mo to W & \(-0.2\) & \(-0.4\) & Water wins. Water does not replace moorland. \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Systematic transitions in terms of gains from hedging changes. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Coverages** & **Footprint** & **Soundness of the Transition** & **Description** \\ \hline _W to S_ & _1.6_ & _0.9_ & _Water cover loses. Soil replaces water._ \\ \hline W to We & \(-1.1\) & \(-1.0\) & Water cover loses. Wetland does not replace water. \\ \hline W to Mo & \(-0.5\) & \(-1.0\) & Water cover loses. Moorland does not replace water. \\ \hline _C to Pz_ & _1.0_ & _0.8_ & _Crop loses. Pasture replaces crop._ \\ \hline C to S & \(-2.7\) & \(-1.0\) & Crop loses. Soil does not replace the crop. \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Systematic transitions in terms of losses caused by coverage changes. From 2000 to 2010 (Table 5), the increase in land cover was presented as follows. Pasture soils (Pz) had the greatest increase, increasing from 11% to 16.4%, with a persistence of 9%, a gain of 7.4% and a loss of 2%. Crop cover (C) increased from 10.7% to 14.5%, with a persistence of 8%, a gain of 6.5% and a loss of 2.7%.