热带地理 ›› 2020, Vol. 40 ›› Issue (5): 903-918.doi: 10.13284/j.cnki.rddl.003279
收稿日期:
2019-12-30
修回日期:
2020-03-09
出版日期:
2020-09-28
发布日期:
2020-10-10
通讯作者:
欧阳婷萍
E-mail:245283134@qq.com;oyangtp@m.scnu.edu.cn
作者简介:
贺辰戋(1994—),男,陕西西安人,硕士研究生,主要从事环境磁学与土壤磁学研究,(E-mail)基金资助:
Chenjian He1(), Tingping Ouyang1,2(
), Shasha Peng2
Received:
2019-12-30
Revised:
2020-03-09
Online:
2020-09-28
Published:
2020-10-10
Contact:
Tingping Ouyang
E-mail:245283134@qq.com;oyangtp@m.scnu.edu.cn
摘要:
本文利用广州市范围内的350个表层土壤样品χlf、χARM/SIRM、HIRM等14个磁学参数的测试结果,在对各磁学参数分别进行统计特征分析和正态性检验的基础上,对满足正态或近似正态分布的磁学参数进行趋势分析。利用确定性插值法(包括反距离权重法和径向基函数法)和地统计法(包括普通克里金法和泛克里金法)对14个磁学参数进行空间插值并根据交叉验证法(比较不同插值方法的交叉验证参数)的结果,比较地统计法和确定性插值法的预测误差,从而确定14个磁学参数的最优插值方法。结果表明:1)地统计法中,χARM、χlf、χhf、S100、S300、S-100、SIRM和HIRM的普通克里金法插值效果最好;SIRM/χ的泛克里金法插值效果最好;χARM/SIRM和S-300的普通克里金法(OK)和泛克里金法(UK)的插值效果接近。OK法作为最常用的地统计空间插值方法,在表土磁学参数上也相较于UK适用范围更广。2)确定性插值法中,χARM、χlf、χhf、χfd(%)、χARM/χ、χARM/SIRM、HIRM的径向基函数法插值效果最优;S100、S-100、S-300和SIRM的反距离权重法插值效果最优;反距离权重法和径向基函数法均可作为χfd、SIRM/χ、S300的插值方法。3)综合比较地统计法和确定性插值法,发现χARM、χlf、χhf、χfd、χfd(%)、χARM/χ、χARM/SIRM、S300、HIRM的空间插值应采用径向基函数法;S100、S-100和S-300的空间插值应选择反距离权重法;而SIRM/χ和SIRM空间插值建议分别采用泛克里金法和普通克里金法。
中图分类号:
贺辰戋, 欧阳婷萍, 彭莎莎. 广州市表层土壤磁学性质的空间插值方法比较[J]. 热带地理, 2020, 40(5): 903-918.
Chenjian He, Tingping Ouyang, Shasha Peng. Comparative Study on Spatial Interpolation of Surface Soil Magnetic Properties in Guangzhou City[J]. Tropical Geography, 2020, 40(5): 903-918.
表1
本文用到的磁学参数及相应的测试仪器/计算方法"
磁学参数代码 | 名称 | 物理意义 | 测量仪器/计算方法 |
---|---|---|---|
χlf | 低频磁化率 | 反映样品中磁性颗粒的总含量 | 卡帕桥多频各向异性磁化率仪(MFK1),频率1 |
χhf | 高频磁化率 | 反映样品中除超顺磁颗粒以外 的磁性颗粒含量 | 卡帕桥多频各向异性磁化率仪(MFK1),频率3 |
χARM | 非磁滞剩磁磁化率 | 反映样品中磁性颗粒的含量, 对单畴颗粒敏感 | 交变退磁仪(D2000)100 mT峰值场叠加0.05 mT直流场下获得、双速旋转磁力仪(JR-6)测试ARM,然后利用χARM =ARM/DC计算得到χARM,其中DC为0.05 mT的弱直流磁场 |
χfd | 频率磁化率 | 反映样品中超顺磁颗粒的含量 | χfd= χlf?χhf(刘青松 等,2009) |
χfd(%) | 频率磁化率系数 | 反映样品中超顺磁颗粒对磁化 率的贡献 | χfd(%) =χfd /χlf×100%(刘青松 等,2009) |
SIRM | 饱和等温剩磁 | 反映样品中磁性颗粒的含量 | 脉冲磁化仪(IM-10-30)2T下获得,双速旋转磁力仪(JR-6)测试 |
HIRM | 硬剩磁 | 反映样品中硬磁性颗粒的含量 | HIRM = (SIRM+IRM-300mT)/2(吴翼 等,2013) |
χARM/χ | 非磁滞剩磁磁化率与磁化率的比值 | 反映样品中磁性颗粒的粗细, 值越大颗粒越细 | 如指标所示计算 |
SIRM/χ | 饱和等温剩磁与磁化率的比值 | 如指标所示计算 | |
χARM/SIRM | 非磁滞剩磁磁化率与饱和等温剩磁的比值 | 如指标所示计算 | |
S100 | S-比值 | 反映样品中软磁性矿物与硬 磁性矿物的相对含量 | 100 mT磁场下的等温剩磁(IRM100mT)与SIRM的比值 |
S300 | S-比值 | 300 mT磁场下的等温剩磁(IRM300mT)与SIRM的比值 | |
S-100 | S-比值 | 反向100 mT磁场下的等温剩磁(IRM-100mT)与SIRM的比值 | |
S-300 | S-比值 | 反向300 mT磁场下的等温剩磁(IRM-300m)与SIRM的比值 |
表2
磁学参数的描述性统计与K-S检验"
磁学参数 | 最小值 | 最大值 | 平均值 | 标准差 | 变异系数/% | K-S |
---|---|---|---|---|---|---|
χARM(10-8m3/kg) | 3.617 | 1 182.120 | 147.417 | 193.943 | 131.561 | 0.00 |
χlf (10-8m3/kg) | 0.801 | 990.109 | 46.549 | 82.795 | 177.868 | 0.00 |
χhf (10-8m3/kg) | 0.759 | 988.641 | 44.506 | 81.262 | 182.586 | 0.00 |
χfd (10-8m3/kg) | 0.001 | 23.664 | 2.043 | 3.003 | 147.029 | 0.00 |
χfd(%) | 0.014 | 17.790 | 4.989 | 3.630 | 72.749 | 0.00 |
χARM/χ | 0.291 | 34.630 | 3.842 | 2.182 | 56.798 | 0.00 |
χARM/SIRM(10-5m/A) | 1.010 | 560.100 | 41.670 | 35.002 | 83.998 | 0.00 |
SIRM/χ (kA/m) | 2.133 | 49.257 | 10.536 | 4.549 | 43.174 | 0.00 |
S100 | 0.010 | 0.939 | 0.636 | 0.126 | 19.831 | 0.06 |
S300 | 0.076 | 0.976 | 0.833 | 0.103 | 12.381 | 0.00 |
S-100 | 0.039 | 0.920 | 0.697 | 0.130 | 18.723 | 0.00 |
S-300 | 0.113 | 1.001 | 0.845 | 0.101 | 11.995 | 0.00 |
SIRM(10-6Am2/kg) | 92.800 | 98 064.500 | 5 060.193 | 8 469.926 | 167.383 | 0.00 |
HIRM(10-5Am2/kg) | 1.254 | 784.516 | 53.510 | 71.880 | 134.330 | 0.00 |
表3
磁学参数普通克里金(OK)插值的交叉验证结果"
磁学参数 | 变换 | 趋势 | 模型 | ME | RMSE | MSE | RMSSE | ASE | ASE-RMSE |
---|---|---|---|---|---|---|---|---|---|
χARM(10-8m3/kg) | Log | 二阶 | 环状 | 7.211 7 | 132.911 9 | -0.101 2 | 1.255 2 | 213.705 3 | 80.793 4 |
球状 | 7.157 4 | 132.995 8 | -0.105 1 | 1.268 2 | 211.871 0 | 78.875 3 | |||
指数 | 6.475 2 | 139.563 4 | -0.120 5 | 1.174 9 | 237.331 0 | 97.767 6 | |||
高斯 | 8.155 9 | 133.752 1 | -0.091 3 | 1.166 4 | 227.996 2 | 94.244 2 | |||
χlf (10-8m3/kg) | Log | 二阶 | 环状 | -3.793 1 | 73.770 1 | -0.284 2 | 2.636 5 | 54.248 3 | -19.521 8 |
球状 | -3.264 0 | 73.684 0 | -0.280 4 | 2.512 9 | 56.802 0 | -16.882 1 | |||
指数 | -3.739 7 | 73.876 3 | -0.308 4 | 2.562 4 | 52.737 4 | -21.138 9 | |||
高斯 | -3.233 4 | 74.073 8 | -0.282 2 | 2.567 2 | 56.929 1 | -17.144 8 | |||
χhf (10-8m3/kg) | Log | 二阶 | 环状 | -3.995 6 | 72.633 8 | -0.295 4 | 2.756 8 | 50.377 2 | -22.256 6 |
球状 | -3.460 6 | 72.585 2 | -0.289 7 | 2.624 8 | 53.005 2 | -19.580 0 | |||
指数 | -3.911 6 | 72.767 2 | -0.319 1 | 2.683 0 | 49.155 7 | -23.611 5 | |||
高斯 | -3.470 1 | 72.904 8 | -0.290 8 | 2.683 7 | 53.002 4 | -19.902 4 | |||
χARM/SIRM (10-5m/A) | Log | 一阶 | 环状 | -0.946 0 | 33.543 3 | -0.051 0 | 1.532 2 | 19.325 9 | -14.217 4 |
球状 | -0.979 4 | 33.510 5 | -0.054 5 | 1.534 0 | 19.143 1 | -14.367 4 | |||
指数 | -0.469 9 | 33.512 7 | -0.029 1 | 1.388 7 | 20.859 4 | -12.653 4 | |||
高斯 | -0.927 7 | 33.592 0 | -0.054 3 | 1.572 5 | 19.293 7 | -14.298 3 | |||
SIRM/χ (kA/m) | Log | 一阶 | 环状 | -0.080 3 | 4.102 5 | -0.066 6 | 1.332 4 | 3.315 3 | -0.787 2 |
球状 | -0.075 4 | 4.099 4 | -0.062 8 | 1.321 3 | 3.338 4 | -0.761 0 | |||
指数 | -0.097 6 | 4.108 9 | -0.068 5 | 1.378 5 | 3.234 7 | -0.874 2 | |||
高斯 | -0.079 7 | 4.091 1 | -0.064 7 | 1.323 3 | 3.325 3 | -0.765 8 | |||
S100 | Box-Cox | 二阶 | 环状 | -0.000 5 | 0.117 8 | 0.013 5 | 1.020 2 | 0.117 4 | -0.000 4 |
球状 | -0.000 5 | 0.117 5 | 0.007 5 | 1.003 7 | 0.118 4 | 0.000 9 | |||
指数 | 0.000 4 | 0.118 3 | 0.015 8 | 1.028 0 | 0.116 0 | -0.002 3 | |||
高斯 | -0.000 7 | 0.117 6 | 0.007 3 | 1.000 6 | 0.118 8 | 0.001 2 | |||
S300 | Box-Cox | 二阶 | 环状 | 0.001 0 | 0.091 7 | 0.021 1 | 1.154 4 | 0.080 3 | -0.011 4 |
球状 | 0.000 9 | 0.091 9 | 0.022 5 | 1.168 9 | 0.079 8 | -0.012 1 | |||
指数 | 0.001 9 | 0.092 1 | 0.031 0 | 1.215 7 | 0.076 3 | -0.015 8 | |||
高斯 | 0.001 0 | 0.091 4 | 0.020 0 | 1.148 4 | 0.080 5 | -0.010 9 | |||
S-100 | Box-Cox | 二阶 | 环状 | 0.001 2 | 0.119 0 | 0.023 6 | 1.084 7 | 0.110 8 | -0.008 3 |
球状 | 0.000 8 | 0.119 2 | 0.017 7 | 1.047 7 | 0.114 5 | -0.004 7 | |||
指数 | 0.000 6 | 0.118 8 | 0.014 5 | 1.051 5 | 0.114 2 | -0.004 7 | |||
高斯 | 0.000 6 | 0.118 8 | 0.015 7 | 1.043 3 | 0.114 8 | -0.004 0 | |||
S-300 | Box-Cox | 二阶 | 环状 | 0.001 7 | 0.089 3 | 0.029 8 | 1.195 5 | 0.075 4 | -0.013 9 |
球状 | 0.001 9 | 0.089 5 | 0.029 6 | 1.189 9 | 0.075 6 | -0.013 9 | |||
指数 | 0.002 0 | 0.090 1 | 0.026 1 | 1.172 6 | 0.076 4 | -0.013 7 | |||
高斯 | 0.001 8 | 0.089 2 | 0.029 7 | 1.190 0 | 0.075 5 | -0.013 7 | |||
SIRM (10-6Am2/kg) | Log | 二阶 | 环状 | -1.160 4 | 6 506.389 8 | -0.205 3 | 1.734 7 | 7 132.710 1 | 626.320 3 |
球状 | 4.830 5 | 6 509.011 3 | -0.202 1 | 1.686 5 | 7182.3925 | 673.3813 | |||
指数 | -37.189 2 | 6 566.430 2 | -0.222 7 | 1.782 4 | 6763.5871 | 197.1569 | |||
高斯 | 7.831 1 | 6 503.241 7 | -0.196 1 | 1.695 3 | 7222.9150 | 719.6732 | |||
HIRM (10-5Am2/kg) | Log | 二阶 | 环状 | -0.821 3 | 58.852 4 | -0.205 7 | 1.883 4 | 51.5473 | -7.3051 |
球状 | -0.217 1 | 59.095 7 | -0.164 9 | -0.164 9 | 53.4453 | -5.6504 | |||
指数 | -1.081 7 | 61.324 1 | -0.201 9 | 1.715 8 | 56.8566 | -4.4675 | |||
高斯 | -0.219 4 | 58.860 0 | -0.186 0 | 1.765 1 | 53.7368 | -5.1232 |
表4
磁学参数泛克里金(UK)插值的交叉验证结果"
磁学参数 | 变换 | 趋势 | 模型 | ME | RMSE | MSE | RMSSE | ASE | ASE-RMSE |
---|---|---|---|---|---|---|---|---|---|
χARM (10-8m3/kg) | Log | 二阶 | 环状 | 7.323 1 | 139.703 4 | -0.079 2 | 0.836 1 | 369.379 7 | 229.676 4 |
球状 | 7.055 1 | 140.346 8 | -0.084 7 | 0.858 7 | 366.770 2 | 226.423 3 | |||
指数 | 4.334 1 | 138.481 2 | -0.092 5 | 0.880 4 | 355.265 6 | 216.784 4 | |||
高斯 | 7.861 1 | 139.982 0 | -0.082 8 | 0.843 6 | 371.516 1 | 231.534 1 | |||
χlf (10-8m3/kg) | Log | 二阶 | 环状 | -4.101 8 | 72.385 0 | -0.134 7 | 1.017 5 | 122.783 4 | 50.398 4 |
球状 | -4.437 5 | 70.425 3 | -0.132 5 | 1.037 2 | 128.798 0 | 58.372 7 | |||
指数 | -4.565 5 | 71.929 4 | -0.138 3 | 1.053 5 | 115.914 3 | 43.984 9 | |||
高斯 | -3.625 3 | 72.716 4 | -0.133 3 | 1.005 8 | 128.918 2 | 56.201 8 | |||
χhf (10-8m3/kg) | Log | 二阶 | 环状 | -4.361 2 | 70.977 5 | -0.138 2 | 1.044 9 | 114.797 1 | 43.819 6 |
球状 | -4.462 3 | 68.937 9 | -0.134 7 | 1.066 2 | 121.824 2 | 52.886 3 | |||
指数 | -4.297 9 | 68.478 7 | -0.137 9 | 1.139 8 | 116.456 6 | 47.977 9 | |||
高斯 | -2.598 2 | 70.079 9 | -0.114 9 | 1.051 2 | 127.981 0 | 57.901 1 | |||
χARM/SIRM (10-5m/A) | Log | 一阶 | 环状 | -0.901 0 | 33.471 0 | -0.060 1 | 1.637 2 | 21.231 8 | -12.239 2 |
球状 | -0.894 2 | 33.415 6 | -0.055 8 | 1.691 3 | 20.791 4 | -12.624 2 | |||
指数 | -0.478 3 | 33.382 7 | -0.031 7 | 1.510 3 | 21.856 1 | -11.526 5 | |||
高斯 | 0.934 1 | 33.661 2 | -0.064 0 | 1.645 0 | 21.448 2 | -12.213 0 | |||
SIRM/χ (kA/m) | Log | 一阶 | 环状 | -0.111 0 | 4.115 2 | -0.063 2 | 1.296 1 | 3.459 1 | -0.656 1 |
球状 | -0.107 2 | 4.114 4 | -0.064 2 | 1.301 4 | 3.443 5 | -0.670 9 | |||
指数 | -0.113 8 | 4.105 3 | -0.066 8 | 1.279 2 | 3.502 7 | -0.602 6 | |||
高斯 | -0.076 8 | 4.129 1 | -0.061 0 | 1.319 4 | 3.504 1 | -0.625 0 | |||
S100 | Box-Cox | 二阶 | 环状 | -0.004 3 | 0.163 7 | 0.027 6 | 1.000 7 | 0.143 2 | -0.020 5 |
球状 | -0.009 0 | 0.229 5 | 0.019 7 | 1.005 6 | 0.148 7 | -0.080 8 | |||
指数 | 0.001 3 | 0.122 5 | 0.036 3 | 1.049 5 | 0.118 0 | -0.004 4 | |||
高斯 | -0.003 7 | 0.161 0 | 0.027 5 | 0.996 9 | 0.142 8 | -0.018 2 | |||
S300 | Box-Cox | 二阶 | 环状 | 0.002 3 | 0.094 2 | 0.053 5 | 1.149 6 | 0.085 6 | -0.008 6 |
球状 | 0.003 0 | 0.094 2 | 0.058 9 | 1.155 4 | 0.088 0 | -0.006 3 | |||
指数 | 0.007 2 | 0.123 1 | 0.066 6 | 1.191 6 | 0.096 4 | -0.026 7 | |||
高斯 | 0.002 0 | 0.095 0 | 0.052 3 | 1.155 4 | 0.086 8 | -0.008 1 | |||
S-100 | Box-Cox | 二阶 | 环状 | 0.003 3 | 0.122 6 | 0.051 1 | 1.046 0 | 0.120 9 | -0.001 7 |
球状 | 0.004 2 | 0.122 4 | 0.054 1 | 1.052 3 | 0.117 5 | -0.004 9 | |||
指数 | 0.001 3 | 0.123 1 | 0.037 3 | 1.065 5 | 0.119 0 | -0.004 1 | |||
高斯 | 0.003 3 | 0.123 7 | 0.052 4 | 1.053 6 | 0.121 2 | -0.002 5 | |||
S-300 | Box-Cox | 二阶 | 环状 | 0.004 6 | 0.090 9 | 0.077 0 | 1.177 0 | 0.078 8 | -0.012 1 |
球状 | 0.004 5 | 0.091 0 | 0.080 5 | 1.190 8 | 0.078 5 | -0.012 5 | |||
指数 | 0.003 6 | 0.091 1 | 0.067 6 | 1.165 1 | 0.080 2 | -0.010 9 | |||
高斯 | 0.004 0 | 0.092 1 | 0.078 0 | 1.174 2 | 0.081 6 | -0.010 5 | |||
SIRM (10-6Am2/kg) | Log | 二阶 | 环状 | -122.876 0 | 6 449.196 5 | -0.121 2 | 0.926 3 | 17 379.145 8 | 10 929.949 3 |
球状 | -128.563 4 | 6 461.123 0 | -0.127 5 | 0.986 4 | 16 582.582 7 | 10 121.459 6 | |||
指数 | -98.082 1 | 6 475.628 5 | -0.106 3 | 0.899 9 | 17 889.512 7 | 11 413.884 3 | |||
高斯 | -40.977 3 | 6 410.017 2 | -0.112 6 | 0.896 6 | 18 731.884 0 | 12 321.866 7 | |||
HIRM (10-5Am2/kg) | Log | 二阶 | 环状 | -0.237 4 | 64.429 3 | -0.115 4 | 1.001 1 | 171.694 8 | 107.265 5 |
球状 | -0.344 1 | 64.758 5 | -0.108 9 | 1.016 1 | 165.732 7 | 100.974 2 | |||
指数 | -0.744 2 | 65.471 6 | -0.118 6 | 1.083 2 | 169.993 3 | 104.521 7 | |||
高斯 | 0.449 9 | 67.668 4 | -0.104 1 | 0.944 0 | 228.899 1 | 161.230 7 |
表6
磁学参数反距离权重(IDW)插值的交叉验证结果"
磁学 参数 | 权重=1 | 权重=2 | 权重=3 | 权重=4 | 权重=5 | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ME | RMSE | ME | RMSE | ME | RMSE | ME | RMSE | ME | RMSE | |||||
χARM(10-8m3/kg) | 1.047 1 | 128.208 8 | 1.405 2 | 132.789 5 | 1.685 4 | 140.695 8 | 2.115 4 | 148.418 3 | 2.667 2 | 154.623 4 | ||||
χlf (10-8m3/kg) | -0.641 7 | 74.794 8 | -1.647 4 | 75.131 0 | -1.881 0 | 76.636 8 | -1.820 4 | 78.176 8 | -1.675 9 | 79.468 9 | ||||
χhf(10-8m3/kg) | -0.644 8 | 73.706 1 | -1.665 1 | 73.996 7 | -1.901 5 | 75.405 7 | -1.842 2 | 76.847 9 | -1.701 5 | 78.060 6 | ||||
χfd(10-8m3/kg) | 0.003 0 | 2.690 4 | 0.017 7 | 2.766 2 | 0.020 5 | 2.905 5 | 0.021 8 | 3.043 4 | 0.025 6 | 3.153 8 | ||||
χfd(%) | 0.023 6 | 3.419 3 | 0.067 1 | 3.439 3 | 0.075 0 | 3.572 4 | 0.073 7 | 3.737 7 | 0.071 0 | 3.880 4 | ||||
χARM/χ | 0.018 4 | 2.177 7 | 0.022 6 | 2.223 7 | 0.020 4 | 2.318 2 | 0.017 3 | 2.402 6 | 0.012 4 | 2.454 6 | ||||
χARM/SIRM(10-5m/A) | 0.300 6 | 33.874 1 | 0.173 4 | 34.294 6 | 0.028 8 | 35.504 3 | -0.035 4 | 36.660 3 | -0.081 4 | 37.382 7 | ||||
SIRM/χ(kA/m) | 0.011 1 | 4.112 9 | 0.074 4 | 4.172 6 | 0.100 3 | 4.377 9 | 0.110 9 | 4.615 6 | 0.119 6 | 4.824 4 | ||||
S100 | 0.000 2 | 0.119 6 | -0.001 5 | 0.120 8 | -0.003 0 | 0.126 6 | -0.004 2 | 0.133 4 | -0.005 2 | 0.138 9 | ||||
S300 | -0.000 3 | 0.095 2 | -0.001 6 | 0.095 6 | -0.002 4 | 0.100 2 | -0.003 0 | 0.105 9 | -0.003 5 | 0.110 7 | ||||
S-100 | 0.000 1 | 0.120 9 | -0.001 6 | 0.121 8 | -0.002 9 | 0.127 3 | -0.003 8 | 0.133 9 | -0.004 4 | 0.139 3 | ||||
S-300 | 0.000 1 | 0.092 5 | -0.001 1 | 0.092 9 | -0.001 8 | 0.097 2 | -0.002 3 | 0.102 6 | -0.002 7 | 0.107 1 | ||||
SIRM(10-6Am2/kg) | 44.596 8 | 6 456.401 1 | 26.827 9 | 6 679.320 9 | 8.487 0 | 6 996.133 9 | 8.402 7 | 7 298.996 9 | 23.292 1 | 7 563.901 4 | ||||
HIRM(10-5Am2/kg) | 0.204 9 | 59.099 8 | 0.408 9 | 61.473 1 | 0.127 5 | 64.220 4 | -0.073 0 | 66.750 8 | -0.085 8 | 68.977 1 |
表7
磁学参数径向基函数(RBF)插值的交叉验证结果"
磁学 参数 | 规则样条函数 | 张力样条函数 | 高次曲面函数 | 反高次曲面函数 | 薄板样条函数 | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ME | RMSE | ME | RMSE | ME | RMSE | ME | RMSE | ME | RMSE | |||||
χARM(10-8m3/kg) | 0.493 7 | 133.385 3 | 0.400 5 | 131.791 0 | 0.789 0 | 144.762 0 | 0.032 3 | 130.309 2 | 1.281 8 | 164.688 1 | ||||
χlf (10-8m3/kg) | -0.327 0 | 76.625 3 | -0.247 3 | 76.366 8 | -0.914 0 | 79.272 0 | 0.397 0 | 76.625 8 | -0.979 2 | 81.363 1 | ||||
χhf (10-8m3/kg) | -0.331 5 | 75.508 2 | -0.249 9 | 75.265 0 | -0.926 0 | 78.018 4 | 0.406 2 | 75.530 5 | -0.993 2 | 79.806 5 | ||||
χfd(10-8m3/kg) | 0.004 5 | 2.785 1 | 0.002 6 | 2.756 7 | 0.012 1 | 3.040 2 | -0.018 2 | 2.699 9 | 0.014 0 | 3.468 9 | ||||
χfd(%) | 0.006 6 | 3.447 9 | 0.003 8 | 3.423 2 | 0.000 7 | 3.714 0 | -0.028 2 | 3.433 1 | -0.024 6 | 4.236 7 | ||||
χARM/χ | 0.002 1 | 2.259 2 | 0.002 0 | 2.236 9 | -0.005 2 | 2.479 7 | -0.004 2 | 2.176 3 | -0.010 9 | 2.788 9 | ||||
χARM/SIRM(10-5m/A) | -0.031 2 | 34.872 0 | -0.009 8 | 34.591 7 | -0.279 9 | 37.723 5 | 0.010 4 | 33.900 0 | -0.570 6 | 41.884 6 | ||||
SIRM/χ(kA/m) | 0.023 8 | 4.185 6 | 0.017 6 | 4.152 8 | 0.063 0 | 4.589 9 | -0.009 1 | 4.115 1 | 0.104 9 | 5.362 7 | ||||
S100 | -0.000 7 | 0.120 2 | -0.000 5 | 0.119 5 | -0.001 5 | 0.128 3 | 0.000 5 | 0.119 3 | -0.001 9 | 0.142 8 | ||||
S300 | -0.000 5 | 0.095 6 | -0.000 4 | 0.095 0 | -0.000 7 | 0.102 4 | 0.000 5 | 0.095 2 | -0.000 4 | 0.113 6 | ||||
S-100 | -0.000 6 | 0.121 2 | -0.000 5 | 0.120 6 | -0.001 0 | 0.128 3 | 0.000 6 | 0.120 8 | -0.000 7 | 0.141 1 | ||||
S-300 | -0.000 4 | 0.092 7 | -0.000 3 | 0.092 2 | -0.000 5 | 0.098 9 | 0.000 6 | 0.092 5 | -0.000 1 | 0.109 4 | ||||
SIRM(10-6Am2/kg) | 16.980 9 | 6 705.550 6 | 16.986 7 | 6 650.202 8 | 12.207 4 | 7 069.443 1 | 24.409 1 | 6 602.762 7 | 51.871 6 | 7 784.194 4 | ||||
HIRM(10-5Am2/kg) | 0.059 6 | 61.434 1 | 0.050 5 | 60.960 6 | 0.030 5 | 65.412 3 | -0.622 5 | 59.609 2 | 0.180 7 | 74.296 1 |
Barima Y S, Angaman D M, N'Gouran K P, N'KoffiN' A, Kardel F,Cannière C D and Samson R. 2014. Assessing Atmospheric Particulate Matter Distribution Based on Saturation Isothermal Remanent Magnetization of Herbaceous and Tree Leaves in a Tropical Urban Environment.Science of the Total Environment, 470/471: 975-982. | |
Canbay M, Aydin A and Kurtulus C.2010.Magnetic Susceptibility and Heavy-Metal Contamination in Topsoils along the Izmit Gulf Coastal Area and IZAYTAS (Turkey). Journal of Applied Geophysics, 70(1): 46-57. | |
董志南,郑拴宁,赵会兵,董仁才.2015.基于空间插值的风场模拟方法比较分析.地球信息科学学报,17(1):37-44.[Dong Zhinan, Zheng Shuanning, Zhao Huibing and Dong Rencai. 2015. Comparative Analysis of Methods of Wind Field Simulation Based on Spatial Interpolation. Journal of Geo-Information Science, 17(1): 37-44. ] | |
Eldeiry A A and Garcial A. 2010. Comparison of Ordinary Kriging, Regression Kriging, and Cokriging Techniques to Estimate Soil Salinity Using LANDSAT Images. Journal of Irrigation and Drainage Engineering, 136(6): 355-364. | |
Gotway C A, Ferguson R B, Hergert G W and Peterson T A. 1996. Comparison of Kriging and Inverse-Distance Methods for Mapping Soil Parameters.Soil Science Society of America Journal, 60(4): 1237-1247. | |
广州市统计局. 2019. 广州统计年鉴.(2019-11-14)[2020-05-10]. http://112.94.72.17/portal/queryInfo/statistics Yearbook/index. [Guangzhou Statistics Bureau. 2019. Guangzhou Statistical Yearbook 2019.(2019-11-14) [2020-05-10]. http://112.94.72.17/portal/queryInfo/statisticsYearbook/index. ] | |
Hay K L, Dearing J A, Baban S M J and Loveland P. 1997. A Preliminary Attempt to Identify Atmospherically Derived Pollution Particles in English Topsoils from Magnetic Susceptibility Measurements. Physics and Chemistry of the Earth, 22(1/2): 207-210. | |
胡克林,李保国,吕贻忠,张凤荣. 2004. 非平稳型区域土壤汞含量的各种估值方法比较. 环境科学,25(3):132-137. [Hu Kelin, Li Baoguo, Lv Yizhong and Zhang Fengrong.2004. Comparison of Various Spatial Interpolation Methods for Non-Stationary RegionalSoil Mercury Content. Environmental Science, 25(3): 132-137. ] | |
Hanesch M and Scholger R. 2002. Mapping of Heavy Metal Loadings in Soils by Means of Magnetic Susceptibility Measurements. Environmental Geology, 42(8): 857-870. | |
Hutchinson M F. 1998. Interpolation of Rainfall Data with Thin Plate Smoothing Splines- Part I: Two Dimensional Smoothing of Data with Short Range Correlation. Journal of Geographic Information and Decision Analysis, 2(2): 139-151. | |
虎雄岗,谈树成,金艳珠,蒋顺德. 2012. 基于地形高程的云南省降雨量空间插值方法研究. 热带地理,32(4):370-377. [Hu Xionggang, Tan Shucheng, Jin Yanzhu and Jiang Shunde. 2012. Rainfall Spatial Interpolation Methods Based on Terrain Elevation Model for Yunnan Province. Tropical Geography, 32(4): 370-377. ] | |
Kamaci Z and Uysal G. 2017. Pollution Determined by Using Magnetic Susceptibility Measurements: A Case Study from İzmir-Aliağa. Acta Physica Polonica, 132(3): 487-489. | |
刘爱利,王培法,丁园圆. 2011. 地统计学概论. 北京:科学出版社. [Liu Aili, Wang Peifa and Ding Yuanyuan. 2011. Introduction to Geostatistics. Beijing: Science Press. ] | |
Laslett G M, Mcbratney A B, Pahl P J and Hutchinson H F. 2010.Comparison of Several Spatial Prediction Methods for Soil PH.European Journal of Soil Science, 38(2): 325-341. | |
龙军,张黎明,沈金泉,周碧青,毛艳玲,邱龙霞,邢世和. 2014. 复杂地貌类型区耕地土壤有机质空间插值方法研究.土壤学报,51(6):1270-1281. [Long Jun, Zhang Liming, Shen Jinquan, Zhou Biqing, Mao Yanling, Qiu Longxia and Xing Shihe. 2014. Spatial Interpolation of Soil Organic Matter in Farmlands in Areas Complex in Landform. Acta Pedologica Sinica, 51(6): 1270-1281. ] | |
刘劲松,陈辉,杨彬云,王卫,相云,赵超. 2009. 河北省年均降水量插值方法比较. 生态学报,29(7):3493-3500. [Liu Jinsong, Chen Hui, Yang Bingyun, Wang Wei, Xiang Yun and Zhao Chao. 2009. Comparison of Interpolation Methods on Annual Mean Precipitation in Hebei Province. Acta Ecologica Sinica, 29(7): 3493-3500. ] | |
李俊晓,李朝奎,殷智慧. 2013. 基于ArcGIS的克里金插值方法及其应用. 测绘通报,(9):87-90,97. [Li Junxiao, Li Zhaokui and Yin Zhihui. 2013. ArcGIS Based Kriging Interpolation Method and Its Application. Bulletin of Surveying and Mapping, (9): 87-90, 97. ] | |
李璐,姜小三,孙永远. 2011. 基于地统计学的降雨侵蚀力插值方法研究——以江苏省为例.生态与农村环境学报,27(1):88-92. [Li Lu, Jiang Xiaosan and Sun Yongyuan. 2011. Geostatistics-Based Spatial Interpolation Method for Study of Rainfall Erosivity—A Case Study of Jiangsu. Journal of Ecology and Rural Environment, 27(1): 88-92. ] | |
雷凌明,喻大松,陈玉鹏,宋卫卫,梁东立. 2014. 陕西泾惠渠灌区土壤重金属空间分布特征及来源. 农业工程学报,30(6):88-96. [Lei Liming, Yu Dasong, Chen Yupeng, Song Weiwei and Liang Dongli. 2014. Spatial Distribution and Sources of Heavy Metals in Soils of Jinghui Irrigated Area of Shaanxi, China.Transactions of the Chinese Society of Agricultural Engineering, 30(6): 88-96. ] | |
李鹏,强小科,唐艳荣,符超峰,徐新文,李续彬. 2010. 西安市街道灰尘磁化率特征及其污染指示意义.中国环境科学,30(3):309-314.[Li Peng, Qiang Xiaoke, Tang Yanrong, Fu Chaofeng, Xu Xinwei and Li Xuibin. 2010. Magnetic Susceptibility of the Dust of Street in Xi'an and the Implication on Pollution. China Environmental Science, 30(3): 309-314. ] | |
刘青松,邓成龙. 2009. 磁化率及其环境意义. 地球物理学报,52(4):1041-1048. [Liu Qingsong and Deng Chenglong. 2009. Magnetic Susceptibility and Its Environmental Significances. Chinese Journal of Geophysics, 52(4): 1041-1048. ] | |
卢升高,白世强. 2008. 杭州城区土壤的磁性与磁性矿物学及其环境意义. 地球物理学报,51(3):762-769. [Lu Shenggao and Bai Shiqiang. 2008. Magnetic Characterization and Magnetic Mineralogy of the Hangzhou Urban Soils and Its Environmental Implications. Chinese Journal of Geophysics, 51(3): 762-769. ] | |
刘玮,辛美丽,吕芳,刘梦侠,丁刚,吴海一. 2018. 关于鼠尾藻群体数量分布的三种统计模型比较. 生态学报,38(6):2031-2040. [Liu Wei, Xin Meili, Lv Fang, Liu Mengxia, Ding Gang and Wu Haiyi. 2018. Comparison of Three Statistical Models for the Quantitative Distribution of Sargassum Thunbergii Populations. Acta Ecologica Sinica, 38(6): 2031-2040. ] | |
李新,程国栋,卢玲. 2000. 空间内插方法比较. 地球科学进展,15(3):260-265. [Li Xin, Cheng Guodong and Lu Ling. 2000. Comparison of Spatial Interpolation Methods. Advances in Earth Science, 15(3): 260-265. ] | |
林忠辉,莫兴国,李宏轩,李海滨. 2002. 中国陆地区域气象要素的空间插值. 地理学报,57(1):47-56. [Lin Zhonghui, Mo Xingguo, Li Hongxuan and Li Haibin. 2002. Comparison of Three Spatial Interpolation Methods for Climate Variables in China. Acta Geographica Sinica, 57(1): 47-56. ] | |
孟庆香,刘国彬,杨勤科.2010.基于GIS的黄土高原气象要素空间插值方法.水土保持研究,17(1):10-14. [Meng Qingxiang, Liu Guobin and Yang Qinke. 2010. Spatial Interpolation Methods of Weather Data on Loess Plateau Based on GIS. Research of Soil and Water Conservation, 17(1): 10-14. ] | |
聂燕,王新,王博,许淑婧,高福元,余晔,夏敦胜,夏昕鸣. 2015. 西北典型工矿型城市街道尘埃重金属污染的环境磁学响应. 环境科学,36(9):3438-3446. [Nie Yan, Wang Xin, Wang Bo, Xu Shujing, Gao Fuyuan, Yu Ye, Xia Dunsheng and Xia Xinming. 2015. Magnetic Responses of Heavy Metals in Street Dust of Typical Mine-Based City, Northwest China. Envrionmental Science, 36(9): 3438-3446. ] | |
Penizek V and Borůvka L. 2006. Soil Depth Prediction Supported by Primary Terrain Attributes: A Comparison of Methods. Plant Soil & Environment, 52(9): 424-430. | |
秦俊桃,冯绍元,霍再林,康绍忠,王凤新. 2010. 几种地下水位空间插值方法在干旱内陆区的应用比较. 中国农业大学学报,15(5):124-129. [Qin Juntao, Feng Shaoyuan, Huo Zailin, Kang Zhaozhong and Wang Fengxin. 2010. Applications of Spatial Interpolation Methods for Groundwater Levels in Arid Inland Area. Journal of China Agricultural University, 15(5): 124-129. ] | |
Rossi R E, Mulla D J, Journel A G and Franz E H. 1992. Geostatistical Tools for Modeling and Interpreting Ecological Spatial Dependence. Ecological Monographs, 62(2): 277-314. | |
Seyedmohammadi J, Esmaeelnjad L and Shabanpour M. 2016. Spatial Variation Modelling of Groundwater Electrical Conductivity Using Geostatistics and GIS. Modeling Earth Systems and Environment, 2(4): 169. | |
孙然好,刘清丽,陈利顶. 2010. 基于地统计学方法的降水空间插值研究. 水文,30(1):14-17,58. [Sun Ranhao, Liu Qingli and Chen Liding. 2010. Study on Precipitation Interpolation Based on the Geostatistical Analyst Method. Journal of China Hydrology, 30(1): 14-17, 58. ] | |
孙智妍,周秋文,张思琪,韦小茶,马龙生. 2019. 喀斯特地区春季土壤水分空间插值方法对比. 热带地理,39(5):770-779. [Sun Zhiyan, Zhou Qiuwen, Zhang Siqi, Wei Xiaocha and Ma Longsheng. 2019. Comparison and Analysis of Different Spatial Interpolation Methods of Soil Moisture Applied in Karst Area. Tropical Geography, 39(5): 770-779. ] | |
汤国安,杨昕. 2006. ArcGIS地理信息系统空间分析实验教程. 北京:科学出版社. [Tang Guoan and Yang Xin. 2006. ArcGIS Geographic Information System Spatial Analysis Experiment Tutorial. Beijing: Science Press. ] | |
Thompson R and Oldfield F. 1986. Environmental Magnetism. London: Allen and Unwin. | |
谭万能,李志安,邹碧,丁永祯. 2005. 地统计学方法在土壤学中的应用. 热带地理,25(4):307-311. [Tan Wanneng, Li Zhian, Zou Bi and Ding Yongzhen. 2005. The Application of Geostatistics to Soil Science. Tropical Geography, 25(4): 307-311. ] | |
王博,夏敦胜,余晔,贾佳,许淑婧. 2012. 兰州城市表层土壤重金属污染的环境磁学记录. 科学通报,57(32):3078-3089. [Wang Bo, Xia Dunsheng, Yu Ye, Jia Jia and Xu Shujing. 2012. Magnetic Records of Heavy Metal Pollution in Urban Topsoil in Lanzhou, China. Chinese Science Bulletin, 57(32): 3078-3089. ] | |
王冠,陈裕颖,夏敦胜,任非凡,方爱冬,马丽娟. 2018. 上海城市表土磁性特征对重金属污染的指示作用.环境科学学报,38(8):3302-3312. [Wang Guan, Chen Yuying, Xia Dunsheng, Ren Feifan, Fang Aidong and Ma Lijuan. 2018. Magnetic Property of Urban Topsoil and Its Implication of Heavymetal Pollution in Shanghai. Acta Scientiae Circumstantiae, 38(8): 3302-3312. ] | |
王红,宫鹏,刘高焕. 2006. 黄河三角洲多尺度土壤盐分的空间分异. 地理研究,25(4):649-658. [Wang Hong, Gong Peng and Liu Gaohuan. 2006. Multi-Scale Spatial Variations in Soil Salt in the Yellow River Delta. Geographical Research, 25(4): 649-658. ] | |
汪明冲,张新长,王兮之,魏兴琥,李辉霞. 2016. 粤北岩溶区连江流域降雨侵蚀力. 热带地理,36(3):495-502. [Wang Mingchong, Zhang Xinchang, Wang Xizhi, Wei Xinghu and Li Huixia. 2016. Rainfall Erosivity in the Lianjiang Watershed in Karst Areas of Northern Guangdong, China. Tropical Geography, 36(3): 495-502. ] | |
王新,夏敦胜,王博,陈红,刘浩. 2017. 西北干旱区农田土壤磁性特征及其环境意义. 环境科学,38(8):3507-3518. [Wang Xin, Xia Dunsheng, Wang Bo, Chen Hong and Liu Hao. 2017. Magnetic Properties of Farmland Soils in Arid Regions in Northwest China and Their Environmental Implications. Environmental Science, 38(8): 3507-3518. ] | |
吴翼,朱照宇,邱世藩,饶志国. 2013. 1.95~0.40Ma黄土高原东南部风成沉积记录的亚洲冷干化进程.科学通报,58(27):2823-2831. [Wu Yi, Zhu Zhaoyu, Qiu Shifan and Rao Zhiguo. 2013. A Rock Magnetic Record of Asian Cooling and Aridification Processes During 1.95~0.40 Ma in the Southeastern Chinese Loess Plateau. Chinese Science Bulletin, 58(27): 2823-2831. ] | |
王志刚,赵永存,黄标,Darilek Jeremy Landon,孙维侠. 2010. 采样点数量对长三角典型地区土壤肥力指标空间变异解析的影响. 土壤,42(3):421-428. [Wang Zhigang, Zhao Yongcun, Huang Biao, Darilek Jeremy Landon and Sun Weixia. 2010. Effects of Sample Size on Spatial Characterization of Soil Fertility Properties in an Agricultural Area of the Yangtze River Delta Region, China. Soils, 42(3): 421-428. ] | |
徐建华. 2014. 计量地理学. 北京:高等教育出版社. [Xu Jianhua. 2014. Quantitative Geography. Beijing: Higher Education Press. ] | |
易湘生,李国胜,尹衍雨,彭景涛. 2012. 土壤厚度的空间插值方法比较——以青海三江源地区为例.地理研究,31(10):1793-1805. [Yi Xiangsheng, Li Guosheng, Yin Yanyu and Peng Jingtao. 2012. Comparison on Soil Depth Prediction among Different Spatial Interpolation Methods: A Case Study in Three-River Headwaters Region of Qinghai Province. Geographical Research, 31(10): 1793-1805. ] | |
于洋,卫伟,陈利顶,杨磊,张涵丹. 2015. 黄土高原年均降水量空间插值及其方法比较. 应用生态学报,26(4):999-1006. [Yu Yang, Wei Wei, Chen Liding, Yang Lei and Zhang Handan. 2015. Comparison on the Methods for Spatial Interpolation of the Annual Average Precipitation in the Loess Plateau Region. Chinese Journal of Applied Ecology, 26(4): 999-1006. ] | |
赵冰雪,王雷,程东亚. 2017. 安徽省气象数据空间插值方法比较与分布特征.水土保持研究,24(3):141-145. [Zhao Bingxue, Wang Lei and Cheng Dongya. 2017. Comparison of Spatial Interpolation Method for Meteorological Data and Distribution Characteristic in Anhui Province. Research of Soil and Water Conservation, 24(3): 141-145. ] | |
张甘霖,赵玉国,杨金玲,赵文君,龚子同. 2007. 城市土壤环境问题及其研究进展. 土壤学报,44(5):925-933. [Zhang Ganlin, Zhao Yuguo, Yang Jinling, Zhao Wenjun and Gong Zitong. 2007. Urban Soil Environment Issues and Research Progresses. Acta Pedologica Sinica, 44(5): 925-933. ] | |
庄国泰. 2015.我国土壤污染现状与防控策略.中国科学院院刊,30(4):477-483. [Zhuang Guotai. 2015. Current Situation of National Soil Pollution and Strategies on Prevention and Control. Bulletin of Chinese Academy of Sciences, 30(4): 477-483. ] | |
卓静,朱延年. 2017. 秦岭主脊区年降水量空间插值最优方法研究.干旱区地理,40(3):555-563. [Zhuo Jing and Zhu Yannian. 2017. Spatial Interpolation Methods of Annual Average Precipitation on Qinling Mountains. Arid Land Geography, 40(3): 555-563. ] | |
朱蕾,黄敬峰. 2007. 山区县域尺度降水量空间插值方法比较. 农业工程学报,23(7):80-85. [Zhu Lei and Huang Jingfeng. 2007. Comparison of Spatial Interpolation Method for Precipitation of Mountain Areas in County Scale.Transactions of the Chinese Society of Agricultural Engineering, 23(7): 80-85. ] | |
张仁平,张云玲,郭靖,冯琦胜,梁天刚. 2018. 新疆地区降水分布的空间插值方法比较. 草业科学,35(3):521-529. [Zhang Renping, Zhang Yunling, Guo Jing, Feng Qisheng and Liang Tiangang. 2018. Comparison of Spatial Interpolation Methods for Precipitation Distribution in Xinjiang Region. Pratacultural Science, 35(3): 521-529. ] | |
Zhang X Y, Sui Y Y, Zhang X D, Meng K and Herbert S J. 2007. Spatial Variability of Nutrient Properties in Black Soil of Northeast China. Pedosphere, 17(1): 19-29. |
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[12] | 李家会,董玉祥. 大都市区不同土地利用系统转换时空分异特征——以广州市为例[J]. 热带地理, 2018, 38(2): 264-273. |
[13] | 王珏晗,周春山. 广州市商业型健身房空间分布及其影响因素[J]. 热带地理, 2018, 38(1): 120-130. |
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