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Table 1 The traditional Markov transition probability matrix (k = 4)

From: Temporal-spatial evolution analysis of carbon emission efficiency in the logistics industry of coastal provinces in China based on the super-efficiency SBM model

t/t + 1

1

2

3

4

1

m11

m12

m13

m14

2

m21

m22

m23

m24

3

m31

m32

m33

m34

4

m41

m42

m43

m44