基于机器学习的径流预测(Python)

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from datetime import datetime
plt.rcParams['figure.figsize'] = (15, 7)
image1 = plt.imread("river basin.jpg")
plt.imshow(image1)
image2 = plt.imread("/besos.jpg")
plt.imshow(image2)
df=pd.read_excel("Copy of rainfall data edited(1).xlsx", index_col= 'Date')
df
df.shape
(2922, 10)
df.info()
<class 'pandas.core.frame.DataFrame'>
DatetimeIndex: 2922 entries, 2003-01-01 to 2010-12-31
Data columns (total 10 columns):
 #   Column           Non-Null Count  Dtype  
---  ------           --------------  -----  
 0   year             2922 non-null   int64  
 1   Barcelona_fabra  2922 non-null   float64
 2   Barcelona        2922 non-null   float64
 3   Sabadell_aero    2922 non-null   float64
 4   Garriga          2922 non-null   float64
 5   Castellar        2922 non-null   float64
 6   Llica            2922 non-null   float64
 7   el_Mogent        2922 non-null   float64
 8   Mogoda           2922 non-null   float64
 9   Gramenet         2922 non-null   float64
dtypes: float64(9), int64(1)
memory usage: 251.1 KB
df.drop("year", axis=1, inplace= True)
df.head()
columns = [0, 1, 2]
i = 1
values = df.values
# define figure object and size
plt.figure(figsize=(15,12))
# plot each column with a for loop
for variable in columns:
     plt.subplot(len(columns), 1, i)
     plt.plot(values[:, variable])
     plt.xlabel('day',fontsize=15)
     plt.ylabel('Rainfall (mm)',fontsize=15)
     plt.title(df.columns[variable], y=0.5, loc='right')
     plt.tick_params(labelsize=15)
     plt.grid()
     plt.ioff()
     i += 1
plt.show()
columns = [3,4,5,6,7,8]
i = 1
values = df.values
# define figure object and size
plt.figure(figsize=(15,20))
# plot each column with a for loop
for variable in columns:
     plt.subplot(len(columns), 1, i)
     plt.plot(values[:, variable])
     plt.xlabel('day',fontsize=15)
     plt.ylabel('Streamflow (m3/s)',fontsize=15)
     plt.title(df.columns[variable], y=0.5, loc='right')
     plt.tick_params(labelsize=15)
     plt.grid()
     plt.ioff()
     i += 1
plt.show()
#Lag creation
def lag_creation(df, lag_start, lag_end, columns, inplace=False, freq=1):
    if not inplace:
        df = df.copy()
    for col in columns:
        for i in range(lag_start, lag_end, freq):
            df["lag_"+str(i)+"_"+col] = df[col].shift(i)
    if not inplace:
        return df


#Encoding the cyclical properties of time
def date_features(df, inplace=False):
    if not inplace:
        df = df.copy()
    df.index = pd.to_datetime(df.index)
    df['day_sin'] = np.sin(df.index.dayofweek*(2.*np.pi/7))
    df['day_cos'] = np.cos(df.index.dayofweek*(2.*np.pi/7))
    df['month_sin'] = np.sin(df.index.dayofweek*(2.*np.pi/12))
    df['month_cos'] = np.cos(df.index.dayofweek*(2.*np.pi/12))
    if not inplace:
        return df


#Data normalization
from sklearn.preprocessing import MinMaxScaler
def Normalize_columns(df, columns, inplace=False):
    if not inplace:
        df = df.copy()
    sc = MinMaxScaler()
    df[columns] = sc.fit_transform(df[columns])
    if not inplace:
        return df
#Cross-correlation
def crosscorr(datax, datay, lag=0, wrap=False):


    if wrap:
        shiftedy = datay.shift(lag)
        shiftedy.iloc[:lag] = datay.iloc[-lag:].values
        return datax.corr(shiftedy)
    else:
        return datax.corr(datay.shift(lag))
df.head(200)
plt.plot(np.arange(0, 6), [crosscorr(df['Gramenet'], df['Barcelona'], lag) for lag in range(0, 6)])
plt.title('Q_Gramenet - P_Barcelona cross-correlation', fontsize=15)
plt.xlabel('Lags',fontsize=15)
plt.ylabel('Correlation coefficient',fontsize=15)
plt.tick_params(labelsize=15)
plt.grid()
plt.ioff()
plt.show();
freq=1


Normalize_columns(df, ['Barcelona', 'Barcelona_fabra', 'Sabadell_aero', 'Garriga', 'Llica', 'el_Mogent', 'Mogoda', 'Gramenet'], inplace=True)
lag_creation(df, 1, 2, ['Barcelona'], inplace=True, freq=freq)
lag_creation(df, 1, 2, ['Barcelona_fabra'], inplace=True, freq=freq)
lag_creation(df, 1, 2, ['Sabadell_aero'], inplace=True, freq=freq)
lag_creation(df, 1, 2, ['Garriga'], inplace=True, freq=freq)
lag_creation(df, 1, 2, ['Llica'], inplace=True, freq=freq)
lag_creation(df, 1, 2, ['el_Mogent'], inplace=True, freq=freq)
lag_creation(df, 1, 2, ['Mogoda'], inplace=True, freq=freq)
lag_creation(df, 1, 3, ['Gramenet'], inplace=True, freq=freq)
date_features(df, inplace=True)
df.dropna(inplace=True)
df
from sklearn.model_selection import train_test_split
from sklearn.model_selection import cross_val_score
from sklearn.metrics import accuracy_score
from sklearn.metrics import r2_score
from sklearn.metrics import mean_squared_error
df.index = pd.to_datetime(df.index)
df.info()
<class 'pandas.core.frame.DataFrame'>
DatetimeIndex: 2920 entries, 2003-01-03 to 2010-12-31
Data columns (total 22 columns):
 #   Column                 Non-Null Count  Dtype  
---  ------                 --------------  -----  
 0   Barcelona_fabra        2920 non-null   float64
 1   Barcelona              2920 non-null   float64
 2   Sabadell_aero          2920 non-null   float64
 3   Garriga                2920 non-null   float64
 4   Castellar              2920 non-null   float64
 5   Llica                  2920 non-null   float64
 6   el_Mogent              2920 non-null   float64
 7   Mogoda                 2920 non-null   float64
 8   Gramenet               2920 non-null   float64
 9   lag_1_Barcelona        2920 non-null   float64
 10  lag_1_Barcelona_fabra  2920 non-null   float64
 11  lag_1_Sabadell_aero    2920 non-null   float64
 12  lag_1_Garriga          2920 non-null   float64
 13  lag_1_Llica            2920 non-null   float64
 14  lag_1_el_Mogent        2920 non-null   float64
 15  lag_1_Mogoda           2920 non-null   float64
 16  lag_1_Gramenet         2920 non-null   float64
 17  lag_2_Gramenet         2920 non-null   float64
 18  day_sin                2920 non-null   float64
 19  day_cos                2920 non-null   float64
 20  month_sin              2920 non-null   float64
 21  month_cos              2920 non-null   float64
dtypes: float64(22)
memory usage: 524.7 KB
X = df.drop('Gramenet', axis=1)
y = df['Gramenet']
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)
from sklearn.linear_model import LinearRegression
from sklearn.svm import SVR
from sklearn.ensemble import RandomForestRegressor
from sklearn.preprocessing import StandardScaler
param_grid = {
    'C': [0.1, 1, 10, 100,1000],
    'gamma': [0.001, 0.01, 0.1, 1]
}
svr = SVR(kernel='rbf')
from sklearn.model_selection import KFold, cross_val_score
kfold = KFold(n_splits=10, shuffle=True, random_state=42)
best_score = -np.inf
best_params = None
for C in param_grid['C']:
    for gamma in param_grid['gamma']:
            svr = SVR( C=C, gamma=gamma)
            scores = cross_val_score(svr, X_train, y_train, cv=kfold, scoring='neg_mean_squared_error')
            average_score = np.mean(scores)
            if average_score > best_score:
                best_score = average_score
                best_params = { 'C': C, 'gamma': gamma}


print(f'Best parameters: {best_params}')
print(f'Best score: {-best_score}')
Best parameters: {'C': 1000, 'gamma': 0.01}
Best score: 0.0023295391574644246
svr_model = SVR(kernel='rbf', C=100, epsilon=0.0001, gamma=0.1)
svr_model.fit(X_train, y_train)
SVR(C=100, epsilon=0.0001, gamma=0.1)
y_pred = svr_model.predict(X_test)
mse = mean_squared_error(y_test, y_pred)
print(round(mse,4))
0.0004
r2 = r2_score(y_test, y_pred)
print(round(r2,4))
0.8517
pip install hydroeval
import hydroeval as he
# Hydrograph plot for both training and test periods
plt.scatter(df.iloc[int(len(df)*0.80):].index, df.iloc[int(len(df)*0.80):].Gramenet, color ='b', label= "observed")
plt.scatter(df.iloc[:int(len(df)*0.80)].index, df.iloc[:int(len(df)*0.80)].Gramenet, color ='b')
plt.plot(df.iloc[int(len(df)*0.80):].index, y_pred, 'orange', label="simulated")
plt.plot(df.iloc[:int(len(df)*0.80)].index, y_train, 'orange')
plt.axvline(13596, 0, 80, linestyle='--')
plt.figtext(0.75, 0.7, "Testing period", fontsize = 20)
plt.figtext(0.35, 0.7, "Training period", fontsize = 20)
plt.title("Observed and simulated streamflow discharge", fontsize=15)
plt.xlabel('Year',fontsize=15)
plt.ylabel('Streamflow discharge (m3/s)',fontsize=15)
plt.tick_params(labelsize=15)
plt.grid()
plt.legend(fontsize="x-large")
plt.figure(figsize=(7,15))
plt.show()

Linear Regression

plt.scatter(df.iloc[int(len(df)*0.80):].index, df.iloc[int(len(df)*0.80):].Gramenet, color ='b', label= "observed")
plt.scatter(df.iloc[:int(len(df)*0.80)].index, df.iloc[:int(len(df)*0.80)].Gramenet, color ='b')
plt.plot(df.iloc[int(len(df)*0.80):].index, y_pred1, 'orange', label="simulated")
plt.plot(df.iloc[:int(len(df)*0.80)].index, y_train, 'orange')
plt.axvline(13596, 0, 80, linestyle='--')
plt.figtext(0.75, 0.7, "Testing period", fontsize = 20)
plt.figtext(0.35, 0.7, "Training period", fontsize = 20)
plt.title("Observed and simulated streamflow discharge", fontsize=15)
plt.xlabel('Year',fontsize=15)
plt.ylabel('Streamflow discharge (m3/s)',fontsize=15)
plt.tick_params(labelsize=15)
plt.grid()
plt.legend(fontsize="x-large")
plt.show()

Random forest regressor

# Hydrograph plot for both training and test periods
plt.scatter(df.iloc[int(len(df)*0.80):].index, df.iloc[int(len(df)*0.80):].Gramenet, color ='b', label= "observed")
plt.scatter(df.iloc[:int(len(df)*0.80)].index, df.iloc[:int(len(df)*0.80)].Gramenet, color ='b')
plt.plot(df.iloc[int(len(df)*0.80):].index, y_pred2, 'orange', label="simulated")
plt.plot(df.iloc[:int(len(df)*0.80)].index, y_train, 'orange')
plt.axvline(13596, 0, 80, linestyle='--')
plt.figtext(0.75, 0.7, "Testing period", fontsize = 20)
plt.figtext(0.35, 0.7, "Training period", fontsize = 20)
plt.title("Observed and simulated streamflow discharge", fontsize=15)
plt.xlabel('Year',fontsize=15)
plt.ylabel('Streamflow discharge (m3/s)',fontsize=15)
plt.tick_params(labelsize=15)
plt.grid()
plt.legend(fontsize="x-large")
plt.show()
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担任《Mechanical System and Signal Processing》等审稿专家,擅长领域:现代信号处理,机器学习,深度学习,数字孪生,时间序列分析,设备缺陷检测、设备异常检测、设备智能故障诊断与健康管理PHM等。

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