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Python | 岭回归

  • 2026-07-02 21:52:15
Python | 岭回归

一、数据准备

以2001—2024年年度植被净初级生产力和气温降水辐射数据为例:

二、输出结果

三、Python代码

import osimport numpy as npimport rasterioimport matplotlib.pyplot as pltplt.rcParams["font.sans-serif"] = ["SimHei"]plt.rcParams["axes.unicode_minus"] = Falsefrom sklearn.linear_model import Ridge, RidgeCVfrom sklearn.metrics import r2_scorefrom tqdm import tqdmnpp_dir = r"D:\python代码\岭回归\净初级生产力NPP"climate_dir = r"D:\python代码\岭回归\气温tmean降水pr辐射srad"out_dir = r"D:\python代码\岭回归\输出结果"os.makedirs(out_dir, exist_ok=True)years = list(range(20012025))variables = ["tmean""pr""srad"]variable_names = ["气温""降水""辐射"]min_years = 10alphas = np.logspace(-3360)out_nodata = -9999.0def find_tif(folder, keyword, year):    files = os.listdir(folder)    for file in files:        name = file.lower()        if name.endswith((".tif"".tiff")):            if keyword.lower() in name and str(year) in name:                return os.path.join(folder, file)    return Nonedef read_tif(path):    with rasterio.open(path) as src:        arr = src.read(1).astype(np.float32)        nodata = src.nodata        profile = src.profile.copy()        if nodata is not None:            arr[arr == nodata] = np.nan        arr[np.isinf(arr)] = np.nan    return arr, profiledef read_stack(folder, keyword):    stack = []    profile = None    for year in years:        path = find_tif(folder, keyword, year)        if path is None:            raise FileNotFoundError(f"没有找到 {keyword}{year} 年数据")        arr, p = read_tif(path)        if profile is None:            profile = p            h, w = arr.shape        else:            if arr.shape != (h, w):                raise ValueError(f"{path} 的行列号和其他数据不一致")        stack.append(arr)    return np.stack(stack, axis=0), profiledef normalize(x):    xmin = np.nanmin(x)    xmax = np.nanmax(x)    if not np.isfinite(xmin) or not np.isfinite(xmax):        return None    if np.isclose(xmax - xmin, 0):        return None    return (x - xmin) / (xmax - xmin)def trend(x, t):    ok = np.isfinite(x) & np.isfinite(t)    if ok.sum() < min_years:        return np.nan    if np.isclose(np.nanmax(x[ok]) - np.nanmin(x[ok]), 0):        return 0.0    return np.polyfit(t[ok], x[ok], 1)[0]def save_tif(arr, profile, filename):    path = os.path.join(out_dir, filename)    profile = profile.copy()    profile.update(dtype=rasterio.float32, count=1, nodata=out_nodata, compress="lzw")    data = arr.astype(np.float32)    data[~np.isfinite(data)] = out_nodata    with rasterio.open(path, "w", **profile) as dst:        dst.write(data, 1)    print(f"已输出:{path}")print("读取NPP数据")npp, profile = read_stack(npp_dir, "NPP")print("读取气候数据")climate = {}for var in variables:    climate[var], _ = read_stack(climate_dir, var)rows, cols = npp.shape[1], npp.shape[2]year_arr = np.array(years, dtype=np.float32)coef = np.full((3, rows, cols), np.nan, dtype=np.float32)relative = np.full((3, rows, cols), np.nan, dtype=np.float32)absolute = np.full((3, rows, cols), np.nan, dtype=np.float32)dominant = np.full((rows, cols), np.nan, dtype=np.float32)r2_map = np.full((rows, cols), np.nan, dtype=np.float32)npp_trend = np.full((rows, cols), np.nan, dtype=np.float32)print("开始岭回归")for r in tqdm(range(rows)):    for c in range(cols):        y0 = npp[:, r, c]        if np.all(~np.isfinite(y0)):            continue        x0 = np.column_stack([            climate["tmean"][:, r, c],            climate["pr"][:, r, c],            climate["srad"][:, r, c]        ])        ok = (            np.isfinite(y0) &            np.isfinite(x0[:, 0]) &            np.isfinite(x0[:, 1]) &            np.isfinite(x0[:, 2])        )        if ok.sum() < min_years:            continue        y = y0[ok]        x = x0[ok, :]        t = year_arr[ok]        if np.isclose(np.nanmax(y) - np.nanmin(y), 0):            continue        yn = normalize(y)        if yn is None:            continue        xn = np.zeros_like(x, dtype=np.float32)        good = True        for k in range(3):            temp = normalize(x[:, k])            if temp is None:                good = False                break            xn[:, k] = temp        if not good:            continue        try:            model_cv = RidgeCV(alphas=alphas)            model_cv.fit(xn, yn)            model = Ridge(alpha=model_cv.alpha_)            model.fit(xn, yn)            pred = model.predict(xn)            co = model.coef_            coef[:, r, c] = co            r2_map[r, c] = r2_score(yn, pred)            npp_trend[r, c] = trend(y, t)            x_trend = np.array([                trend(xn[:, 0], t),                trend(xn[:, 1], t),                trend(xn[:, 2], t)            ], dtype=np.float32)            y_range = np.nanmax(y) - np.nanmin(y)            abs_value = co * x_trend * y_range            absolute[:, r, c] = abs_value            total = np.nansum(np.abs(abs_value))            if total > 0:                rel_value = np.abs(abs_value) / total * 100                relative[:, r, c] = rel_value                dominant[r, c] = np.nanargmax(rel_value) + 1        except:            continuefor k, name in enumerate(variable_names):    save_tif(coef[k], profile, f"回归系数_{name}.tif")    save_tif(relative[k], profile, f"相对贡献率_{name}_百分比.tif")    save_tif(absolute[k], profile, f"绝对贡献_{name}.tif")save_tif(dominant, profile, "主导因子.tif")save_tif(r2_map, profile, "岭回归_R2.tif")save_tif(npp_trend, profile, "NPP变化趋势.tif")valid_relative = []labels = []for k, name in enumerate(variable_names):    data = relative[k]    data = data[np.isfinite(data)]    data = data[(data >= 0) & (data <= 100)]    valid_relative.append(data)    labels.append(name)plt.figure(figsize=(85))bins = np.linspace(010051)for data, label in zip(valid_relative, labels):    if len(data) > 0:        density, edges = np.histogram(data, bins=bins, density=True)        x = (edges[:-1] + edges[1:]) / 2        y = density * 100        plt.plot(x, y, linewidth=2, label=label)plt.xlabel("Relative Contributions (%)")plt.ylabel("PDF (%)")plt.legend()plt.tight_layout()fig_path = os.path.join(out_dir, "相对贡献率_PDF图.png")plt.savefig(fig_path, dpi=300)plt.close()print(f"已输出:{fig_path}")print("全部完成")print("主导因子编码:1=气温,2=降水,3=辐射")

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  1. CONNECT:[ UseTime:0.000848s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001604s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000607s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000585s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001200s ]
  6. SELECT * FROM `set` [ RunTime:0.000530s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001273s ]
  8. SELECT * FROM `article` WHERE `id` = 491266 LIMIT 1 [ RunTime:0.000942s ]
  9. UPDATE `article` SET `lasttime` = 1783099760 WHERE `id` = 491266 [ RunTime:0.023596s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000785s ]
  11. SELECT * FROM `article` WHERE `id` < 491266 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001206s ]
  12. SELECT * FROM `article` WHERE `id` > 491266 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001913s ]
  13. SELECT * FROM `article` WHERE `id` < 491266 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.028422s ]
  14. SELECT * FROM `article` WHERE `id` < 491266 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.007451s ]
  15. SELECT * FROM `article` WHERE `id` < 491266 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.004247s ]
0.210763s