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1 | (16) |
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1 | (1) |
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2 | (1) |
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1.3 Impact of Climate Change in Global Context |
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3 | (1) |
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1.4 Impact of Climate Change on Agriculture |
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4 | (1) |
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1.5 Climatological Parameters Affecting Crop Yeild |
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5 | (1) |
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1.5.1 Maximum and Minimum Temperature |
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5 | (1) |
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5 | (1) |
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6 | (1) |
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6 | (1) |
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6 | (3) |
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8 | (1) |
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1.7 Downscaling Techniques and Their Application |
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9 | (6) |
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1.7.1 Dynamical Downscaling |
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9 | (2) |
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1.7.2 Statistical Downscaling |
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11 | (1) |
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1.7.3 Statistical--Dynamical Downscaling |
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12 | (3) |
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1.8 Multiple Linear Regression |
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15 | (1) |
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1.9 Principal Component Analysis (PCA) |
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15 | (1) |
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15 | (2) |
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2 Principal Component Analysis in Transfer Function |
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17 | (10) |
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2.1 Transfer Function/Regression Method |
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17 | (2) |
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19 | (1) |
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2.2.1 The Simple Linear Regression Model |
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19 | (1) |
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2.2.2 The Multiple Linear Regression Model |
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19 | (1) |
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2.2.3 Polynomial Regression Models |
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20 | (1) |
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2.2.4 Nonlinear Regression |
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20 | (1) |
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2.3 Principal Component Analysis (PCA) |
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20 | (3) |
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2.3.1 Advantages and Disadvantages of PCA |
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21 | (1) |
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2.3.2 Applications of Principal Components |
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22 | (1) |
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2.4 Principal Component Regression (PCR) |
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23 | (4) |
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2.4.1 Calculating Principal Components |
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23 | (1) |
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2.4.2 Rules for Retaining Principal Components |
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24 | (1) |
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2.4.3 Development of Principal Component Regression (PCR) |
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25 | (2) |
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27 | (12) |
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3.1 Review of Works on Climate Change |
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27 | (1) |
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3.2 Review of Works on Downscaling Techniques |
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28 | (5) |
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3.3 Review of Works on Multiple Linear Regressions |
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33 | (1) |
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3.4 Review of Works on Principal Component Analysis and Principal Component Regression |
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33 | (6) |
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4 Study Area and Data Collection |
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39 | (6) |
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4.1 Agroclimatic Zones by the Planning Commission |
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39 | (1) |
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4.2 Subagroclimatic Zones of Gujarat |
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39 | (4) |
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41 | (1) |
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41 | (1) |
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42 | (1) |
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42 | (1) |
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42 | (1) |
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42 | (1) |
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42 | (1) |
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43 | (1) |
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44 | (1) |
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45 | (6) |
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5.1 Multiple Linear Regression Model |
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45 | (1) |
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5.2 Principal Component Regression Model |
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46 | (1) |
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47 | (2) |
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5.3.1 Root Mean Squared Error (RMSE) |
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47 | (1) |
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5.3.2 Correlation Coefficient (r) |
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47 | (1) |
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5.3.3 Coefficient of Determination (R2) |
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48 | (1) |
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5.3.4 Discrepancy Ratio (D.R.) |
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48 | (1) |
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5.4 Analysis of MLR and PCR Models |
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49 | (2) |
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51 | (12) |
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6.1 MLR Model During Training and Validation |
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51 | (4) |
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6.1.1 Multiple Linear Regression During Training |
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51 | (1) |
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6.1.2 Multiple Linear Regression During Validation |
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52 | (3) |
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6.2 PCR Model During Training and Validation |
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55 | (5) |
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6.2.1 Principal Component Regression During Training |
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58 | (1) |
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6.2.2 PCR During Validation |
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58 | (2) |
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6.3 Comparison of MLR and PCR Models Using Performance Indices |
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60 | (1) |
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6.4 Analysis of MLR and PCR Models Developed |
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61 | (2) |
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63 | (2) |
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7.1 Conclusions Based on the Study |
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63 | (2) |
References |
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