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. 2021 May 26;11:10960. doi: 10.1038/s41598-021-90539-2

Table 2.

Values of the kij entries among US divisions. In the top section, the values between Mid-Atlantic (MA) and the other divisions are obtained from fits of the first wave timing. In the central and bottom sections, the complete matrix (except the entries between MA and NE) is obtained using flight data for the first wave (from April 1st to May 31st) and the second (from September 1st to October 31st), respectively.

kij values (1st wave fits)
Division code NE MA SA ESC WSC ENC WNC M P
MA 0.72 0 0.0014 0.00075 0.0017 0.0023 0.0005 0.002 0.0053
First wave kij values (Flight data, from April 1st to May 31st)
NE 0 0.72 0.0045 0.00088 0.00087 0.0024 0.00052 0.00067 0.00091
MA 0.72 0 0.019 0.0056 0.0041 0.012 0.0025 0.0031 0.0059
SA 0.0043 0.018 0 0.0085 0.013 0.019 0.0057 0.0050 0.0067
ESC 0.00092 0.0053 0.0093 0 0.0051 0.0068 0.0023 0.0035 0.0065
WSC 0.00095 0.0038 0.014 0.0055 0 0.0092 0.0054 0.011 0.010
ENC 0.0025 0.012 0.018 0.0063 0.0086 0 0.0082 0.0079 0.0099
WNC 0.00038 0.0022 0.0056 0.0019 0.0046 0.0070 0 0.0055 0.0027
M 0.00050 0.0020 0.0042 0.0026 0.011 0.0072 0.0043 0 0.028
P 0.00084 0.0055 0.0063 0.0050 0.010 0.0092 0.0033 0.030 0
Second wave kij values (Flight data, from September 1st to October 31st)
Region-X 0.0066 0.028 0.029 0.013 0.019 0.027 0.014 0.03 0.03
NE 0 0.72 0.0028 0.00046 0.00031 0.0015 0.00026 0.00041 0.00082
MA 0.72 0. 0.011 0.002 0.0017 0.0064 0.0013 0.0021 0.0029
SA 0.0026 0.011 0 0.005 0.005 0.0096 0.003 0.0033 0.0035
ESC 0.00041 0.0019 0.0051 0 0.0019 0.0028 0.00087 0.0012 0.0015
WSC 0.00028 0.0015 0.0049 0.0018 0 0.0028 0.0016 0.004 0.0034
ENC 0.0014 0.0062 0.0089 0.0028 0.003 0 0.0039 0.0043 0.0045
WNC 0.00024 0.0013 0.0028 0.0009 0.0017 0.0038 0 0.0028 0.0016
M 0.00032 0.0017 0.0029 0.0011 0.0054 0.004 0.0026 0 0.014
P 0.00074 0.0028 0.0032 0.0014 0.0046 0.0041 0.0018 0.015 0