Table 3 The summarized results of the Mann–Kendall test and the Sen slope method for trend estimation of variables including maximum temperature (Tmax), minimum temperature (Tmin), diurnal temperature range (DTR), precipitation (PT), relative humidity (RH), and carbon dioxide emission (CO2) in Mississippi from 1970 to 2020.

From: Climate trends and maize production nexus in Mississippi: empirical evidence from ARDL modelling

Series\test

Tmax

Tmin

DTR

PT

RH

CO2

Kendall tau

Sen slope

Kendall tau

Sen slope

Kendall tau

Sen slope

Kendall tau

Sen slope

Kendall tau

Sen slope

Kendall tau

Sen slope

March

0.139

0.032

0.146

0.030

0.012

0.001

 − 0.095

 − 0.193

0.047

0.021

April

0.014

0.003

0.101

0.015

 − 0.078

 − 0.008

0.090

0.194

0.157

0.060

May

0.103

0.012

0.178

0.022

 − 0.092

 − 0.009

 − 0.087

 − 0.183

0.003

0.000

June

0.051*

0.007*

0.373***

0.035***

 − 0.261**

 − 0.028**

0.095

0.163

0.125

0.036

July

 − 0.006

 − 0.001

0.262**

0.024**

 − 0.401***

 − 0.031***

0.119

0.147

0.068

0.022

August

0.066*

0.009*

0.299**

0.027**

 − 0.201*

 − 0.019*

0.158

0.269

 − 0.009

 − 0.004

September

0.143

0.021

0.183

0.027

0.006

0.001

 − 0.063

 − 0.112

 − 0.110

 − 0.060

MGS

0.176*

0.013*

0.422***

0.027***

 − 0.252**

 − 0.015**

0.057

0.432

0.027

0.011

0.669***

0.514***

Mean

28.56 °C

16.02 °C

12.54 °C

48.49 mm

66.73%

53.58 million metric tons (Mmt)

  1. Kendall tau negative (–) value signifies downward (decreasing) trend, and positive ( +) value indicates upward (increasing) trend with its value ranging between -1 and 1, and its absolute value signifies the strength of the trend. As the absolute value of Kendall tau approach 1, the strength of the trend becomes strong. The Sen slope value represents the rate of change (of variable) per year. Kendall tau is a pure number (unitless) as it is a correlation coefficient and Sen slope units are °C/year (for Tmax, Tmin, and DTR), mm/year (for PT), percentage/year (for RH), and Mmt/year (for CO2). The negative (–) value of Sen slope means the rate of decrease per year while the positive ( +) value represents the rate of increase per year. Significance: “*” p < 0.05, “**” p < 0.01, and “***” p < 0.001.