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Table 1 K-S test and best fit parameters of the based cases and the port configurations

From: Theoretical study of the effect of ports in the formation of city systems

Statistical

Closed

Open

Two

Corner

Lateral

Exponweibull

Lognormal

Lognormal

Exponweibull

Lognormal

Distributionks-test

(0.0857,

(0.1168,

(0.1168,

(0.0857,

(0.1168,

 

0.8553)

0.4736)

0.4736)

0.8553)

0.4736)

Best fit

(4.1411,

(10.7450,

(11.2687,

(3.7110,

(10.7428,

 

0.5415,

34,195.3987,

34,195.3987,

0.5548,

34,195.3987,

 

28,518.8760,

11.8154)

6.5101)

33,491.4490,

11.8124)

 

96,076.2683)

  

106,816.1286)

 

Spearman correlation

NA

NA

(0.1092, 8.0638e−08)

(− 0.0488, 0.0166)

(0.0019, 0.9253)

  1. KS test and Spearman correlation: (value, p-value). Estimated parameters of best fit: (parameters, loc, scale). The exponentiated Weibull (exponweibull) distribution shows a probability density function of the form f(x,α,c) = ac[1 − exp(− xc)]α−1exp(− xc)xc−1 where x > 0 > 0,c > 0. The lognormal distribution shows a probability density function of the form \(f(x,s) = \frac{1}{{sx\sqrt {2\pi } \exp }}\left( { - \frac{{\log^{2} (x)}}{{2s^{2} }}} \right)\) where x > 0,s > 0