Research Article
Evaluating Dynamic Trends in Oilseed Production in India through Innovative Trend Analysis and Principal Component Analysis
Girish Kumar S.1 and Kalpana Polisetty2*
1Department of Mathematics and Statistics, School of Applied Sciences and Humanities, Vignan’s Foundation for Science, Technology & Research, Vadlamudi, Guntur, India-522213.
Abstract | Oilseed crops play a significant role in the Indian agriculture sector, being directly or indirectly related to human diets, country economies, and various industrial applications. This paper was designed with two prominent objectives, employing two different analytical approaches: innovative trend analysis (ITA) and principal component analysis (PCA) on oilseed production data from 1981 to 2022. Initially, ITA was applied to analyse zone-wise variations, visualize hidden trends, and assess the magnitude of the rate of change in long-term production patterns. Later, PCA was performed to identify different production patterns and highlight the key states influencing the production trends. The ITA graphs revealed various types of production patterns (monotonic, non-monotonic, and trendless) among the zones. In addition, the ITA highlighted that Rajasthan (178.2) and Madhya Pradesh (174.4) recorded the highest average growth rates (thousand tons/year), while Andhra Pradesh & Telangana (-18.5), Tamil Nadu (-17.95), and Odisha (-17.05) recorded the sharpest declines. PCA analysis captured five distinct production patterns with 80% of total variation. PC1 (explaining 45% variance) showed strong positive loadings (0.75–0.94) for major states like Maharashtra, Rajasthan, and Madhya Pradesh, while Kerala had a strong negative loading (-0.808), indicating a production decline. Both ITA and PCA analyses offer important information to help understand the differences in oilseed production across regions and over time, which can guide policy choices for sustainable farming and zonal prioritization.
Received | June 24, 2025; Accepted | November 8, 2025; Published | March 24, 2026
*Correspondence | Kalpana Polisetty, Department of Mathematics and Statistics, School of Applied Sciences and Humanities, Vignan’s Foundation for Science, Technology & Research, Vadlamudi, Guntur, India-522213; Email: [email protected]
Citation | Kumar, G.S. and K. Polisetty. 2026. Evaluating dynamic trends in oilseed production in india through innovative trend analysis and principal component analysis. Sarhad Journal of Agriculture, 42(1): 519-532.
DOI | https://dx.doi.org/10.17582/journal.sja/2026/42.1.519.532
Keywords | Oilseed production, Statistical methods, Innovative trend analysis, Principal component analysis, Trend analysis, India
Copyright: 2026 by the authors. Licensee ResearchersLinks Ltd, England, UK.
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Introduction
One of the key pillars of India’s economy is the agricultural sector, which facilitates different activities such as the manufacturing, distribution, and consumption of goods. Approximately 21% of India’s total gross value added is contributed by the agriculture sector, and nearly 50% of the population relies on agricultural activities for their livelihood (Saruk and Rayalu, 2024). This clearly demonstrates that agriculture plays a major role in maintaining the stability of a nation’s economy (Kalpana, 2017b; Manoj, 2023). A wide variety of crops are cultivated in India, among which oilseed crops are considered particularly important. Approximately 20.8% of agricultural land is dedicated to oilseed cultivation, contributing nearly 10% to total crop production, making India the fourth-largest producer of oilseeds globally.
Oilseeds are generally categorized as either edible or non-edible according to their industrial and human consumption uses. Edible oilseeds are consumable, and these oils are energy-dense foods rich in oil content, vitamins, and minerals, providing moderate levels of fiber and both saturated and unsaturated fatty acids. These oils are not only important for human consumption but also have a significant role in industrial value. Non-edible oilseeds are used for industrial purposes, for example, the production of products such as paints, soaps, pharmaceuticals, hair oils, textiles, and varnishes (Sittal et al., 2019). Simply put, the oilseeds sector plays a crucial role in agriculture as well as national economies globally due to the extensive benefits it offers for human diet and industrial applications. Traditionally cultivated oilseed crops in India include sesame, groundnut, niger, soybean, castor, rapeseed-mustard, safflower, and sunflower (Raghunadha et al., 2022).
Several factors, including the steady rise in human consumption, growing domestic demand, and expanding industrial use of vegetable oils, have significantly contributed to the increased demand for oilseed production. To tackle this situation, the Indian government implemented several missions and projects between 1985 and 2014 with the aim of rising oilseed production. Under these programs, nine major oilseed crops were cultivated to support the growth of the oilseed sector and to overcome the gap between demand and supply (Jainuddin et al., 2021). In response to the issue of growing demand for oilseed production, various statistical methods (path analysis, annual compound growth rate, decomposition analysis, Cuddy-Della Valle instability index, etc.) were applied. These methods play a role in understanding the trend patterns of oilseed production.
For instance, Raghunadha et al. (2022) analyse d various types of oilseed crops such as sunflower, groundnut, castor, niger, sesame, and palm oil in Andhra Pradesh, while Jainuddin et al. (2021) extended this analysis to oilseeds across India. Viswanatha and Immanuelraj (2017) assessed the spatiotemporal growth rates of edible oilseeds in India’s leading producing states, focusing on area, production, and yield using compound growth rates. Regression models have also been constructed to estimate growth rates for groundnut crops (Kalpana, 2016) and castor oil production (Kalpana, 2017a) in India.
Trend analysis is essential for handling long-term data, which helps to understand the effects of past interventions, patterns, and movements and forecast likely future trends. Most of the researchers are widely applied in many diverse fields, including agriculture, finance, climate studies, healthcare, and more. Trend analysis can be performed either parametric methods (e.g., linear regression, polynomial regression, ARIMA, and exponential smoothing) or non-parametric methods (e.g., Cox-Stuart, Mann-Kendall (MK) test, ITA, Spearman’s rho test, and Sen’s slope estimator). Non-parametric methods are particularly well-suited to handle any kind of data. Therefore, it is not necessary to make rigorous parametric rules when handling data that has outliers, skewed distributions, and non-linear connections (Khalili et al., 2016; Zichen et al., 2020). Non-parametric methods, particularly the MK test, ITA and Sen’s slope estimator, are widely applied by several researchers to study the trends in rainfall, temperature, and other agricultural variables. For example, Praveen et al. (2020), Nur et al. (2023), Krushna et al. (2024), Muthaiah et al. (2024), and Kalpana et al. (2020) evaluated trend patterns in rainfall, while Alemu and Dioha (2020), Sarita et al. (2020), Monforte and Ragusa (2022), Al-Mutairi et al. (2023) and Ghaderpour et al. (2024) analysed temperature trends. These methods are expanded in agriculture to study the trend patterns of crop production such as castor (Kalpana et al., 2019), wheat (Kalpana and Kiran, 2020), rice (Kalpana et al., 2021), food grains (Kalpana et al., 2023), and sugarcane (Kalpana and Siva, 2025) have also used trend analysis techniques have also been used. Furthermore, Hemalatha et al. (2022) analyzed the hydropower generation trends of SAARC countries, including Bangladesh, Pakistan, India, and Sri Lanka.
ITA is an add-on advanced methodology of the Mann-Kendall test and is increasingly used to study complex structured trends of time series datasets. This method is widely recommended to identify hidden trends in visual form (Yavuz 2018; Caloiero, 2020; Kalpana and Chesneau, 2024). For example, Ishfaq et al. (2022) utilized the ITA method to study the variations in climate across high, medium, and low levels of rainfall and air temperature values over recent decades in the Jhelum basin of the Kashmir Valley. Kalpana and Chesneau (2024) used ITA to analyse CO₂ emissions trends across various sectors, such as coal, oil, gas, and cement, in India and China. Saplioglu et al. (2014) investigated streamflow trends in the western Mediterranean basin of Turkey, while Sonali et al. (2013) analyse d temperature trends across India using the MK and ITA methods. Kisi (2015) demonstrated that ITA graphical plots are more effective at detecting hidden trends in pan evaporation than the MK and SR tests.
Ay and Kisi (2015) used the ITA method to conduct trend analysis in order to identify rainfall trends in six different regions of Turkey. According to the findings, Samsun and Trabzon showed considerable rising growth, while the other four regions showed no discernible trends. Dabanli et al. (2016) highlighted the differences between the MK test and ITA method in their application to hydro-meteorological data from the Ergene basin in Turkey. Air temperature and heatwave trend patterns of northwestern Mexico were assessed using linear data correction, ITA method, and Spearman’s rho test. The analysis highlighted that temperature and heat heatwaves indicated rising trends (Martinez-Austria et al., 2016). Elouissi et al. (2016) investigated monthly rainfall trends across twenty-five locations in the MACTA watershed, Algeria, using the ITA method. The results revealed that northern region followed decreasing trends, and the southern region indicated increasing trends during the period 1970–2011. In the Coruh River basin of Turkey, trends in maximum hydrologic drought variables for nine stations were analyse d. While the MK test showed no significant trends, both the modified MK test and the ITA method detected positive and negative trends at different stations, with the results aligning well with each other (Tosunoglu and Kisi, 2017).
Nayana et al. (2022) applied multivariate adaptive regression splines to forecast wheat yield through principal component analysis, which helps to identify the top wheat-producing states based on key factors such as cultivation area, yield, and production from 1962 to 2018. This approach helped improve prediction accuracy by focusing on the most influential features. Neetu et al. (2024) forecasted yield using PCA and OLS regression on cotton crop data from 1964 to 2015. PCA enhanced the accuracy of forecasting by reducing dimensionality while retaining key information.
Hence, previous researchers have performed basic statistical methods to analyse the trends of oilseed production. Globally, no one focuses on visualizing trends or identifying key states influencing oilseed production. To address these gaps, this study applies an advanced trend analysis method (i.e., ITA) to examine temporal changes in oilseed production trends. In continuation, a multivariate statistical method (i.e., PCA) is performed to capture distinct production patterns and major influencing states at the zone/state level in India. So, the novelty of this research lies in the combined use of ITA and PCA to provide a more comprehensive understanding of oilseed production dynamics.
Materials and Methods
Data
Data on the annual total production of oilseeds (both edible and non-edible) has been collected from the Reserve Bank of India, covering 24 Indian states over a 42-year period (1981–2022). This extensive time series is considered adequate for examining patterns and tracking variations in oilseed production. Annual trend analysis is conducted to explore regional differences in output.
Innovative trend analysis
The ITA method, which was first introduced by Sen (2012). Unlike traditional methods, ITA does not rely on statistical assumptions such as serial correlation, normality of distribution, and data length. This nonparametric approach is specifically designed to visually inspect and identify both monotonic trends (increasing or decreasing) and non-monotonic trends within time series datasets. Sen (2017) enhanced the ITA method by introducing a calculation framework for deriving monotonic trends and conducting significance tests. Simply put, ITA not only graphically visualizes the trend but also estimates slope of trend, similar to the Theil-Sen estimator.
However, Theil-Sen remains a widely accepted method for quantifying trend magnitude, particularly for linear trends, whereas ITA is more effective in detecting nonlinear trend patterns (Junli et al. 2018; Zhou et al., 2018; Malik et al., 2019; Ali et al., 2019; Kuriqi et al., 2020; Pour et al., 2020; Jayanta et al., 2020; Liaqat et al., 2022). This makes it an effective tool for analysing the strength and direction of trends, especially in complex datasets like agricultural production data. The detailed procedure for constructing the ITA plot is discussed below.
Step 1: The time-series data (1981–2022) is divided into two equal periods such as 1981-2001 and 2002-2022.
Step 2: The data in each half is arranged separately in ascending order.
Step 3: Consider, the first half (y1) of the data is plotted on the X-axis, and the second half (y2)is plotted on the Y-axis of a Cartesian coordinate system. A 45-degree line (also called the 1:1 line) is draw on the scatter plot.
Step 4: Control Limits (CL): The CLs for the plot are defined as y1 ± 0.05(ȳ1) at 95% confidence.
Step 5: The scatter plot is analysed by the following ways:
If the data points lie on the 1:1 line, it indicates that there is no trend in the data.
If the data points are positioned above the 1:1 line, it suggests a monotonic increasing trend.
If the data points fall below the 1:1 line, it indicates a monotonic decreasing trend.
If the data points are scattered above and below the 1:1 line, it indicates a non-monotonic trend.
Step 6: Significance of trend is verified by the following rules:
If the data points (few or all) fall outside the control limits, it implies that the data exhibits a significant trend (either monotonic or non-monotonic).
If all points are within these limits, it suggests that there is no trend over period.
Sen (2017) the magnitude of the trend slope (S) form is defined as

Where n is the number of data points in each period, y1and y2 represent the averages of the first and second halves of the series, respectively. The value of S represents the trend indicator and positive value of S indicates an increasing trend, while a negative value indicates a decreasing trend. The confidence limits of the trend slope follow a standard normal probability density function with zero mean and standard deviation (σs) are given as follows:
CL(1-a) = 0±ScriXσs
Where

⍴ ȳ² ȳ¹ = The correlation between the two average values in stochastic nature
Principal component analysis
Principal component analysis (PCA) is a statistical technique used to reduce the dimensionality of datasets with interrelated quantitative variables while retaining the maximum possible variance. It transforms correlated variables into a smaller set of uncorrelated principal components, ranked by the variance they explain. This method helps reveal underlying patterns, making complex datasets easier to interpret. PCA is widely applied in pattern recognition, where it identifies key variables that represent most of the dataset’s variability (Jackson et al., 1991; Helena et al., 2000; Chowdhury and Husain, 2020; Gaurav et al., 2021; Ahmed, 2023). By simplifying high-dimensional data, it enhances analysis efficiency and supports data-driven decision-making across various fields. PCA provides valuable insights with minimal information loss by arranging principal components (PC) in descending order of variance, with PC1 capturing the highest share than the remaining PC’s. Here, factor loadings classify variables as strong (≥0.75), moderate (0.75–0.50), or weak (0.50–0.30), reflecting their relative contribution within a component rather than their overall importance (Liu et al., 2003; Vieira et al., 2012). Principal components are interpreted based on loading scores. In the context of production, suppose states with high positive loading scores indicate key contributors to production trends; states with high negative loading scores suggest the decline trend of production, and states with loading scores near zero are considered to have minimal influence on the components. PCA is a commonly used method for selecting independent variables and discarding highly correlated or redundant variables. The PCA involves five main steps as follows:
The original data matrix is listed as given by:

Where xab = production of oilseeds in the ath state during the bth year; a = 1, 2, ..., m and the originally measured data are standardized to mitigate the impact of dimension with Z score standardization:

Where Zab represents the standardized variable, xb and sb are the mean and standard deviation production across all states for year b Correlation coefficient matrix is determined based on the following equation

The eigenvalues and eigenvectors are then calculated as follows
Fi = vi1x1 * + vi2x2 * + … + vinxn*
Where vi is eigen vectors and is the standardized parameter.
Results
The fundamental descriptive statistics are computed for zone-wise oilseed production from 1981 to 2022 in India and presented in Table 1. The results revealed that substantial zonal variations. It means the states with the lowest production are Kerala (0.2 thousand tons), Manipur (0.4 thousand tons), and Mizoram (0.6 thousand tons). On the other hand, Gujarat and Rajasthan stood out as the top producers, with output levels of 7132.1 thousand tons and 9295.8 thousand tons, respectively. When considering average production, Kerala recorded the smallest average output at 5.969 thousand tons, whereas Madhya Pradesh achievedthe highest average production with 5047.1905 thousand tons of oilseed. According to Yitea et al.,(2021), the variability of oilseed production is classified using the coefficient of variation (CV).
The states of Bihar, Assam, and Uttar Pradesh belong to the low variability (CV < 20%) category. Karnataka,
Table 1: Descriptive statistics of zone-wise annual oilseed production from 1981 to 2022
|
Zones |
States |
Min. |
Max. |
Average |
Standard Deviation |
Coefficient of Variation |
|
Northern |
Jammu & Kashmir |
2.7 |
124.2 |
46.3582 |
17.8638 |
38.5343 |
|
Haryana |
117.2 |
1431 |
756.8262 |
335.0254 |
44.2672 |
|
|
Himachal pradesh |
3.1 |
12 |
6.9905 |
1.9962 |
28.5559 |
|
|
Punjab |
56.8 |
306.1 |
128.7452 |
73.1076 |
56.7847 |
|
|
Uttar Pradesh |
787.2 |
1713 |
1133.5929 |
208.5732 |
18.3993 |
|
|
Rajasthan |
625.6 |
9295.8 |
4031.2476 |
2328.5171 |
57.7617 |
|
|
Northeastern |
Arunachal pradesh |
6.6 |
37.8 |
24.9357 |
8.671 |
34.7735 |
|
Assam |
112 |
215.2 |
163.75 |
25.7661 |
15.735 |
|
|
Manipur |
0.4 |
32.8 |
9.842 |
13.2775 |
134.9066 |
|
|
Meghalaya |
3.4 |
15.3 |
7.8958 |
3.8616 |
48.9064 |
|
|
Mizoram |
0.6 |
12.3 |
4.0663 |
2.7552 |
67.7564 |
|
|
Nagaland |
1.6 |
84.6 |
41.8086 |
28.2564 |
67.5851 |
|
|
Tripura |
2.4 |
14.4 |
6.767 |
3.7751 |
55.7871 |
|
|
Sikkim |
4.3 |
15.1 |
7.8104 |
2.3946 |
30.6589 |
|
|
Madhya pradesh |
833.3 |
9276 |
5047.1905 |
2432.4595 |
48.1943 |
|
|
Eastern |
Bihar |
104.9 |
173.9 |
133.5762 |
14.1445 |
10.5891 |
|
Odisha |
91.1 |
940.9 |
326.831 |
285.2835 |
87.2878 |
|
|
West Bengal |
170 |
1277.5 |
609.8881 |
301.3257 |
49.4067 |
|
|
Western |
Gujarat |
398.2 |
7132.1 |
3574.031 |
1750.7029 |
48.984 |
|
Maharashtra |
839.8 |
6937.8 |
3017.2357 |
1660.4236 |
55.0313 |
|
|
Southern |
APT |
1093.6 |
3390 |
1840.7774 |
563.9854 |
30.6384 |
|
Karnataka |
749.7 |
1888.7 |
1257.1262 |
323.2149 |
25.7106 |
|
|
Kerala |
0.2 |
18.6 |
5.969 |
5.4588 |
91.4515 |
|
|
Tamil nadu |
461.8 |
1968.3 |
1171.6952 |
322.3443 |
27.5109 |
Himachal Pradesh, and Tamil Nadu are classified as having medium variability (20% < CV < 30%), and the remaining states fall into the high variability category (CV > 30%).
Next, the ITA method was applied using R, and the results are visually presented in Figures 1 and Figure 2, while the estimated slopes are summarized in T. Based on , eleven states—Arunachal Pradesh, Assam, Gujarat, Maharashtra, Meghalaya, Manipur, Haryana, Madhya Pradesh, Nagaland, Rajasthan, and West Bengal—exhibit monotonic increasing trends.
increasing trends. The scatter plots reveal that the data points for these states are far away above the +5% line and 1:1 line. These observations indicate a consistently increasing monotonic trend with a high tendency. However, Assam displays a lower tendency for monotonic increase, as its data points are near to the above +5% range and the 1:1 line. This suggests a less pronounced but still positive monotonic trend in Assam. In continuity, 1 state (Tripura) only follows a non-monotonic increasing trend.
Furthermore, from Figure 2 results, a monotonic decreasing trend is observed across 7 states: Kerala, Karnataka, Odisha, Punjab, Uttar Pradesh, Andhra Pradesh & Telangana (APT), and Tamil Nadu. Of these, Karnataka and Uttar Pradesh displayed only a slight declining tendency because the data points are plotted marginally below the -5% threshold and the 1:1 reference line. In contrast, Kerala, Odisha, Punjab, APT, and Tamil Nadu exhibited a pronounced declining tendency, evidenced by a greater scatter of data points below the -5% threshold from the 1:1 reference line. Three states (Mizoram, Sikkim, and Himachal Pradesh) demonstrated non-monotonic decreasing trends, and two states (Jammu & Kashmir and Bihar) showed no significant trend at the 95% confidence level.
Table 2 presents the average growth and decline rates of production trends across all zones of India. The findings indicate that 3 out of 24 (12.5%) states, such as Jammu & Kashmir, Himachal Pradesh, and Tamil Nadu, do not exhibit any significant trends at the 5% level of significance. The majority of the states, 21 (87.5%), exhibit statistically significant trends. Of these, 11 (52.38%) states follow a rising trend, while the remaining 10 (47.62%) states show a decreasing trend in oilseed production.
Table 2: Zone-wise trend slopes estimated using the ITA method
|
Zones |
States |
Slope (ITA) |
Control limit (95%) |
Nature of trend |
Sig. |
|
|
Lower |
Upper |
|||||
|
Northern |
Jammu & Kashmir |
-0.0706 |
-0.1534 |
0.1534 |
↓ |
NO |
|
Haryana |
21.2673 |
-1.4921 |
1.4921 |
↑ |
YES |
|
|
Himachal pradesh |
0.0009 |
-0.0136 |
0.0136 |
↑ |
NO |
|
|
Punjab |
-5.2347 |
-0.2234 |
0.2234 |
↓ |
YES |
|
|
Uttar Pradesh |
-8.505 |
-0.6589 |
0.6589 |
↓ |
YES |
|
|
Rajasthan |
178.1995 |
-14.379 |
14.379 |
↑ |
YES |
|
|
Northeastern |
Arunachal pradesh |
0.5921 |
-0.0339 |
0.0339 |
↑ |
YES |
|
Assam |
0.7902 |
-0.1589 |
0.1589 |
↑ |
YES |
|
|
Manipur |
0.7827 |
-0.1064 |
0.1064 |
↑ |
YES |
|
|
Meghalaya |
0.2359 |
-0.0402 |
0.0402 |
↑ |
YES |
|
|
Mizoram |
-0.0771 |
-0.0191 |
0.0191 |
↓ |
YES |
|
|
Nagaland |
2.3069 |
-0.3394 |
0.3394 |
↑ |
YES |
|
|
Tripura |
0.0046 |
-0.0129 |
0.0129 |
↑ |
NO |
|
|
Sikkim |
-0.0788 |
-0.0163 |
0.0163 |
↓ |
YES |
|
|
Madhya pradesh |
174.429 |
-13.3264 |
13.3264 |
↑ |
YES |
|
|
Eastern |
Bihar |
-0.2449 |
-0.0783 |
0.0783 |
↓ |
YES |
|
Odisha |
-17.0524 |
-1.3599 |
1.3599 |
↓ |
YES |
|
|
West bengal |
22.7367 |
-1.9455 |
1.9455 |
↑ |
YES |
|
|
Western |
Gujarat |
109.7145 |
-5.8596 |
5.8596 |
↑ |
YES |
|
Maharashtra |
122.6025 |
-4.7921 |
4.7921 |
↑ |
YES |
|
|
Southern |
APT |
-18.5037 |
-4.1965 |
4.1965 |
↓ |
YES |
|
Karnataka |
-12.3254 |
-1.5779 |
1.5779 |
↓ |
YES |
|
|
Kerala |
-0.4451 |
-0.0381 |
0.0381 |
↓ |
YES |
|
|
Tamil nadu |
-17.9501 |
-1.3444 |
1.3444 |
↓ |
YES |
|
In addition to that, the analysis further highlights that Rajasthan (Northern) experiences the most significant increase trend in oilseed production, with the highest positive slope of 178.2 thousand tons/year, followed by Madhya Pradesh (174.4290 thousand tons/year) in northeastern and Maharashtra (122.6025 thousand tons/year) in western. Also, Western (Gujarat=109.7145), northern (Haryana=26.27), and eastern (West Bengal=22.7367) zones emerged as the leading regions in oilseed production, surpassing other zones. Conversely, the largest decline trend in production is observed in APT, with a negative slope of -18.5 thousand tons/year, trailed by Tamil Nadu (-17.9501 thousand tons/year) and Odisha (-17.0524 thousand tons/year). The average rate of change in thousand tons per year varies from -18.5037 for the state of APT to 178.1995 for Rajasthan.
After assessing zonal trends through ITA, PCA was applied to uncover inter-state relationships and dominant production structures. Table 3 provides strong evidence supporting the suitability of applying principal component analysis (PCA) to the oilseed data using SPSS. The calculated value of Kaiser-Meyer-Olkin (KMO) is 0.75, which indicates that the sample size is adequate for factor analysis. As per Kaiser and Rice (1974), if the KMO value is above 0.6, it is considered acceptable, and values above 0.7 suggest good sampling adequacy. Additionally, Bartlett’s test of sphericity is significant when p < 0.05 (Polit and Beck, 2016), confirming that the correlation matrix is not an identity matrix, meaning that the variables are sufficiently correlated to justify PCA. Therefore, the results validate the appropriateness of applying PCA to the given dataset.
Table 3: Results of KMO and bartlett’s test
|
Kaiser-Meyer-Olkin Measure of sampling adequacy. |
0.750 |
|
|
Bartlett's test of sphericity |
Approx. Chi-Square |
1168.264 |
Figure 3 visually or structurally illustrates the scree plot of eigenvalues, while Table 4 summarizes the eigenvalues and percentage variance of each principal component. These helps to decide how many PCs can be considered for the study. It is observed that the first five components related to eigenvalues only exhibit greater than or equal to one. Also, these five components collectively explain almost 80% of the total variance, demonstrating the suitability of PCA for dimensionality reduction while preserving critical information. So the study is focused on five distinct uncorrelated patterns in oilseed production across states, which are presented in Table 5.
Among these, PC1 emerges as the most dominant, accounting for 45% of the total variation in oilseed production. States are classified based on the magnitude of their factor loadings on PC1. States with high positive loadings in PC1 include Maharashtra (0.946), Rajasthan (0.941), Madhya Pradesh (0.897), West Bengal (0.872), Haryana (0.849), Gujarat (0.805), Arunachal Pradesh (0.785), and Nagaland (0.769), indicating that these states contribute strongly and consistently to national oilseed production.
Table 4: Component-wise eigenvalues and percentage of variance
|
Component |
Initial eigenvalues |
% of Variance |
Cumulative % |
|
1 |
10.78 |
44.918 |
44.918 |
|
2 |
3.459 |
14.414 |
59.332 |
|
3 |
2.381 |
9.922 |
69.254 |
|
4 |
1.508 |
6.285 |
75.538 |
|
5 |
1.086 |
4.525 |
80.063 |
|
6 |
0.969 |
4.037 |
84.101 |
|
7 |
0.764 |
3.183 |
87.283 |
|
8 |
0.698 |
2.91 |
90.193 |
|
9 |
0.46 |
1.916 |
92.109 |
|
10 |
0.406 |
1.693 |
93.801 |
|
11 |
0.364 |
1.515 |
95.316 |
|
12 |
0.283 |
1.18 |
96.496 |
|
13 |
0.204 |
0.85 |
97.346 |
|
14 |
0.155 |
0.644 |
97.989 |
|
15 |
0.108 |
0.449 |
98.439 |
|
16 |
0.083 |
0.347 |
98.786 |
|
17 |
0.071 |
0.294 |
99.08 |
|
18 |
0.057 |
0.236 |
99.317 |
|
19 |
0.053 |
0.219 |
99.536 |
|
20 |
0.041 |
0.172 |
99.707 |
|
21 |
0.029 |
0.121 |
99.829 |
|
22 |
0.024 |
0.101 |
99.93 |
|
23 |
0.01 |
0.044 |
99.973 |
|
24 |
0.006 |
0.027 |
100 |
States such as Manipur (0.640) and Meghalaya (0.657) show moderate positive loadings, suggesting a moderate level of influence on overall production. In contrast, Kerala (-0.808) shows a strong negative loading, reflecting a marked decline in oilseed production, while Odisha (-0.720) and Punjab (-0.662) exhibit moderate negative loadings.
Table 5: Rotated component matrix with factor loadings for selected principal components
|
States |
Component |
||||
|
PC1 |
PC 2 |
PC 3 |
PC 4 |
PC 5 |
|
|
Maharashtra |
0.946 |
||||
|
Rajasthan |
0.941 |
||||
|
Madhya pradesh |
0.897 |
||||
|
West bengal |
0.872 |
||||
|
Haryana |
0.849 |
||||
|
Kerala |
-0.808 |
||||
|
Gujarat |
0.805 |
||||
|
Arunachal pradesh |
0.785 |
||||
|
Nagaland |
0.769 |
||||
|
Odisha |
-0.720 |
-0.614 |
|||
|
Punjab |
-0.662 |
||||
|
Meghalaya |
0.657 |
||||
|
Manipur |
0.640 |
||||
|
Karnataka |
0.855 |
||||
|
APT |
0.792 |
||||
|
Bihar |
0.722 |
||||
|
Tamil nadu |
|||||
|
Tripura |
0.825 |
||||
|
Assam |
0.787 |
||||
|
Jammu & Kashmir |
|||||
|
Himachal pradesh |
0.840 |
||||
|
Mizoram |
0.717 |
||||
|
Sikkim |
|||||
|
Uttar pradesh |
0.891 |
||||
The subsequent components (i.e., PC2, PC3, PC4, and PC5) are captured for additional, distinct production patterns. Here, PC2 explains 14% of the variance, with Karnataka (0.855) and APT (0.792) as major contributors compared to Bihar (0.722), suggesting regional variations. In the case of PC3, it accounts for 10% of the variance, with Tripura (0.825) and Assam (0.787) as key contributors. Next, PC4 (6% variance) is dominated by Himachal Pradesh (0.840) and Mizoram (0.717), while Odisha (-0.614) acted as a declining trend pattern. Lastly, PC5, contributing 5% of the variance, highlights Uttar Pradesh (0.891) as a significant player in oilseed production.
Discussion
ITA results revealed clear zone-wise variations in oilseed production trends across India, with positive trends in some states contrasting sharply with negative trends in others. However, the southern zone states showed declining trends, whereas the western zone states showed rising trends, and the northern, northeastern, and eastern zone states showed mixed trends. Possible reasons include variations in cultivated area, rainfall, irrigation, and technology adoption. This aligns with the quantitative results presented earlier. PCA effectively distinguished high-and low-performing states, and along with ITA, consistently identified Rajasthan, Madhya Pradesh, Maharashtra, West Bengal, Gujarat, and Haryana as the top producers. These findings align with RBI Statistics (2024), confirming the reliability of the analyses. Such spatial differences in oilseed production have important implications for India’s agricultural economy, as dependence on a few high-performing states can affect national self-sufficiency and increase vulnerability to climatic or market fluctuations. The persistent decline in oilseed production in Andhra Pradesh, Telangana, Tamil Nadu, and Odisha underscores the urgent need for targeted measures, including improved seed access, better irrigation management, and stronger technical support systems. Over time, the persistence of zonal differences despite national initiatives suggests a renewed focus on technological dissemination and resource-efficient practices. Collectively, these findings emphasize the need to address structural and climatic constraints in lagging states to ensure balanced oilseed production growth across India.
Conclusions
The trend analysis using the ITA method revealed significant regional disparities in oilseed production in India from 1981 to 2022. ITA figures showed that 11 states exhibited a monotonically increasing trend, 1 state showed a non-monotonic increase, 7 states demonstrated a monotonically decreasing trend, 3 states exhibited a non-monotonic decrease, and 2 states showed no significant trend at the 95% confidence level. Andhra Pradesh & Telangana, Tamil Nadu, and Odisha states experienced the sharpest declines, while Rajasthan, followed by Madhya Pradesh and Maharashtra, were key growth leaders. In addition to that, the remaining states showed mixed trends, whereas the southern states faced a consistent decline in production. Next, PCA loadings further indicated that Maharashtra, Rajasthan, Madhya Pradesh, West Bengal, Haryana, Gujarat, Arunachal Pradesh, Nagaland, and Kerala had a strong association with PC1 and were identified as major contributors. These patterns highlight regional disparities in oilseed production, identifying key states driving production growth and others facing declines. Addressing these disparities is vital for achieving equitable and sustainable oilseed production growth across India.
Recommendations
Further studies should integrate climatic and socio-economic variables to strengthen understanding of regional variations. Policy efforts should prioritize region-specific technological dissemination, irrigation improvement, and seed access programs to reduce disparities.
Funding
No funding was received for conducting this study.
Data Availability
The data used in this study was obtained from the Reserve Bank of India (RBI) and is available on its official website [https://data.rbi.org.in/BOE/OpenDocument/2409211437/OpenDocument/opendoc/openDocument.jsp?logonSuccessful=true&shareId=3].
Ethics approval
All authors have read, understood, and have complied as applicable with the statement on “Ethical responsibilities of Authors” as found in the Instructions for Authors.
Acknowledgements
The authors gratefully acknowledge the Reserve Bank of India (RBI) for freely providing the data used in this study. The availability of these data significantly supported the analysis and outcomes of the research.
Novelty Statement
This study offers an integrated application of Innovative Trend Analysis (ITA) and Principal Component Analysis (PCA) to systematically examine long-term zonal and state-level oilseed production dynamics in India. The approach reveals latent production patterns and key regional contributors, providing robust insights for targeted policy formulation and sustainable agricultural planning.
Author’s Contribution
Girish Kumar S: Study conception and design, data collection, analysis and interpretation of results, draft manuscript preparation.
Kalpana Polisetty: Study conception and design, analysis and interpretation of results, draft manuscript preparation,
All authors reviewed and approved the final version of the manuscript.
Generative AI or AI assisted technology statement
AI tools were used only for language editing and grammar improvement. The authors are fully responsible for the content, results, and conclusions of this manuscript.
Conflict of interest
The authors declare that there is no conflict of interest to disclose.
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