Correlation analysis
The disease occurred at 31.5
oC maximum temperature, 22.0
oC minimum temperature, 87% RH I, 50% RH II, 4.5 SSH, 5.9 km/h wind speed and reached maximum intensity at 30.0
oC maximum temperature, 21.1
oC minimum temperature, 84% RH I, 52.0% RH II, 4.7 SSH, 5.7km/h wind speed in Bt hybrids (RCH659 BG II and Suraj Bt). In the hybrids (RCH659 BG II and Suraj Bt) the rust disease intensity starts by 44
th meteorological week (
i.
e. first week of November) with 10.8 and 8.8 PDI and attains its peak intensity by 52
nd meteorological week (
i.
e. last week of December) with 54.1 and 42.7 PDI respectively. In the varieties (CCH 15 and Suraksha) the disease intensity initiates by 47th meteorological week (
i.
e. third week of November) and reaches its peak intensity by 52nd meteorological week (
i.
e. last week of December) with 27.3 and 15.3 PDI respectively.
The disease progress with respect to different meteorological week and weather parameters such as rainy days, rainfall, temperature, relative humidity, sunshine hours and windspeed were recorded during the two-cropping seasons from August 2021 to January 2023 in accordance with hybrids and varieties were depicted in Fig 1. Simple correlation showed that disease intensity has positive correlation with maximum temperature (0.257,0.323,0.118 and 0.215), relative humidity I (0.294,0.293,0.171 and 0.208) and windspeed (0.575,0.550,0.505 and 0.552) whereas, negative correlation was observed with rainfall, minimum temperature, relative humidity II and sunshine hours during the two cropping years respectively (Table 1). The Correlation values ‘r=0.545’ for windspeed was found to be significantly correlated with the disease. Literature on cotton rust epidemiology is inadequate. In case of soybean rust caused by
P.
pachyrhyzii, temperature, RH and leaf wetness duration played critical role for infection (
Nunkumar, 2006). Significant negative correlation of minimum temperature with per cent disease index of soybean rust was observed by
Pankaj Baiswar et al. (2013).
Bhattiprolu et al., (2016) conducted studies on different varieties and hybrids of cotton such as Narasimha, L 604, NSPHH 5, Bunny, Jaadoo BG II and RCH 2 BG II to investigate the factors influencing rust progression. They concluded that for Bunny hybrid, both relative humidity (RH I) and sunshine hours (SSH) were influential in rust development. In Bunny BG II, rust severity was primarily driven by SSH. Jaadoo BG II and RCH 2 BG II hybrids showed rust severity influenced by SSH, either independently or in combination with evaporation. Specific cultivars exhibited distinct factors affecting rust development. For example, maximum temperature notably impacted L 604, while minimum temperature played a significant role in NSPHH 5. RH I was a key factor in Narasimha, L 604 and Bunny, whereas evaporation was significant in Bunny BG II. In our study it was observed that simple correlation showed the disease intensity has positive correlation with maximum temperature, relative humidity I and windspeed whereas, negative correlation was observed with rainfall, minimum temperature, relative humidity II and sunshine hours during these cropping years (2021-2022 and 2022-2023 respectively) in both hybrids (RCH 659 BG II and Suraj Bt) and varieties (CCH 15 and Suraksha).
Independent t test analysis
Independent t test analysis were carried for all the weather parameters against per cent disease intensity (PDI) using data analysis pack in Excel. The results obtained from the analysis were depicted in Table 2. The weather parameters such as min temp, RH (Morning and Evening), Windspeed which seems to be significant against PDI were discussed in detail. Other weather parameters such as rainfall, max temp and sunshine hours seems to be non-significant against PDI. For the minimum temperature, the test statistic turns out to be 4.536 and the corresponding p-value is 0.0002 for RCH659 BG II. For Suraj Bt- t value (-2.263) with p-value is 0.032. t value for CCH15 is -3.780 and p-value (0.0008). For Suraksha, t value (2.990) and p-value (0.0099). Since this p-value is less than 0.05, it is evident to say that the correlation between the two variables is statistically significant. The Chi-square test of Independence is a statistical method used to evaluate the relationship between two or more categorical variables. It is commonly employed in various research fields to determine if there are significant associations between variables. The Chi-Square analysis resulted in a Chi-Square statistic (χ²) of 19.43, with 10 degree of freedom. The associated p-value was 0.04, below the alpha level of 0.05, suggesting a statistically significant association between weather variables and PDI for cotton rust.
Regression analysis
Study the effect of weather on the disease development regression equations were derived and coefficient of determination (R2) were calculated. Typically, a regression analysis is done for one of two purposes: In order to predict the value of the dependent variable for individuals where some information concerning the explanatory variables are available, or in order to estimate the effect of some explanatory variables (
i.
e. weather variables) on the dependent variable (
i.
e. PDI). The coefficient of determination is a statistical measurement which examines how differences in one variable (
i.
e. PDI) can be explained by the difference in a second variable (
i.
e. weather variables) when predicting the outcome of a given event. In other words, this coefficient assesses how strong the linear relationship is between two variables and is heavily relied on by investors when conducting trend analysis. The coefficient of determination (R2) revealed that weather variables contributed 72, 87, 72 and 84 per cent effect on the disease incidence (Table 3) in 2021-2022 and 2022-2023 cropping years respectively. The regression equations derived for all the hybrids (RCH659 BGII and Suraj Bt) and varieties (CCH 15 and Suraksha) for two cropping seasons showed that windspeed and sunshine hours are the most important factor for the disease development. Multiple regression analysis of pooled data showed that weather parameters including RH I, SSH and windspeed significantly influenced the development of rust disease. Multiple regression analysis of pooled data showed that weather parameters including RH I, SSH and windspeed significantly influenced the development of rust disease. Independent t-test analysis indicates that as p-value is less than 0.05, it is sufficient to prove with evidence that the correlation between the two variables (
viz.,max temp, RH morning, RH evening and windspeed against PDI) were found to be statistically significant.
The goodness of fit in a statistical model is crucial for assessing its accuracy and effectiveness. Various measures evaluate how well a regression model represents the data, commonly known as “regression errors.” Coefficient of Determination (R²) measures how well a regression model replicates observed outcomes. Ranging from 0 to 1, a higher R² indicates a better fit. From our study, R² values for the weather variables are 0.72, 0.87, 0.72, 0.74 which indicates better fit. The weather variables, windspeed and minimum temperature showed positive trend line against PDI for RCH659BGII and Suraksha while rest of the weather variables showed negative trend line (Fig 2). The choice of goodness-of-fit measure depends on the context and goals of the analysis. R² serves as an interpretable percentage indicating the explained variability. A balance of these measures ensures a comprehensive evaluation of regression model performance.
Variation in rust intensity to the tune of 20.4% to 55.0% in different hybrids can be explained by weather factors. For every one-degree Celsius decrease in maximum temperature there was corresponding increase of rust intensity from 1.0% to 10.1% in different hybrids. With respect to increase in windspeed and sunshine hours, the disease intensity also increases. These observations indicate the importance of varieties/hybrids in developing prediction models for the disease. Guidance for farmers on control measures can be formulated by analysing disease onset and observations across various different meteorological weeks for cotton rust disease. The correlation of weather parameters with PDI of
Fusarium wilt in pigeon pea indicated that significant and positively correlation with maximum and minimum temperature and negative correlation with evening relative humidity
(Nagaraju et al., 2022).
Similar observations were made by various researchers showed that the correlation analysis showed a positive correlation with sunshine hours (SSH) wherein significant negative correlation between rust incidence and maximum temperature, minimum temperature, rainfall (Rf) and rainfall days (Rd) in hybrids. On the other hand, varieties showed a significant negative correlation of PDI with maximum temperature, minimum temperature, RH II, Rf and Rd. The results of multiple regression analysis indicated that maximum and minimum temperatures had a significant influence on the progression of rust in all entries. Rf and Rd had partial influence across all entries and SSH showed partial influence in the case of L 1060, NDLH 1938 and RCH 2 BG II. (
Anonymous, 2023). In recent times, the effects of global climate change have intensified the focus on weather-based disease prediction models to mitigate the sudden onset of crop diseases
(Nath et al., 2023). Despite taking precautions such as utilizing resistant varieties and applying fungicides, rust still inflicted significant damage under specific meteorological conditions.