A Novel Graph-Based Innovative Trend Analysis Technique for Studying the Crop Trends in Kerala, India

This study introduces a novel graph-based innovative trend analysis (GBITA) technique for detecting trends in time series data, thus fundamentally challenging conventional assumptions in trend assessment. Unlike traditional methods, which often rely on the assumption of a serial correlation, the pro...

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Main Authors: Chalissery Mincy Thomas, Archana Nair
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:AgriEngineering
Subjects:
Online Access:https://www.mdpi.com/2624-7402/7/2/36
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author Chalissery Mincy Thomas
Archana Nair
author_facet Chalissery Mincy Thomas
Archana Nair
author_sort Chalissery Mincy Thomas
collection DOAJ
description This study introduces a novel graph-based innovative trend analysis (GBITA) technique for detecting trends in time series data, thus fundamentally challenging conventional assumptions in trend assessment. Unlike traditional methods, which often rely on the assumption of a serial correlation, the proposed methodology only requires that the data values conform to a non-negative distribution. The effectiveness of GBITA was validated through 200 Monte Carlo simulations, and it was subsequently applied to analyze the productivity and cultivated area of paddy and coconut crops across Kerala and its 14 districts. The results indicate an upward trend in the productivity of both crops; however, the area under paddy cultivation is decreasing, while the coconut cultivation area is increasing. Notably, the southern districts of Kerala exhibited a declining trend in both the productivity and cultivated area for these crops. This innovative approach holds promise for broader applications across various crop varieties and regions, with potential implications for fields such as statistics, economics, and computer science.
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spelling doaj-art-cbd6e086bff7487e9a3b3bb9cd7d40da2025-08-20T03:11:18ZengMDPI AGAgriEngineering2624-74022025-02-01723610.3390/agriengineering7020036A Novel Graph-Based Innovative Trend Analysis Technique for Studying the Crop Trends in Kerala, IndiaChalissery Mincy Thomas0Archana Nair1Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Kochi Campus, Kochi 682024, IndiaDepartment of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Kochi Campus, Kochi 682024, IndiaThis study introduces a novel graph-based innovative trend analysis (GBITA) technique for detecting trends in time series data, thus fundamentally challenging conventional assumptions in trend assessment. Unlike traditional methods, which often rely on the assumption of a serial correlation, the proposed methodology only requires that the data values conform to a non-negative distribution. The effectiveness of GBITA was validated through 200 Monte Carlo simulations, and it was subsequently applied to analyze the productivity and cultivated area of paddy and coconut crops across Kerala and its 14 districts. The results indicate an upward trend in the productivity of both crops; however, the area under paddy cultivation is decreasing, while the coconut cultivation area is increasing. Notably, the southern districts of Kerala exhibited a declining trend in both the productivity and cultivated area for these crops. This innovative approach holds promise for broader applications across various crop varieties and regions, with potential implications for fields such as statistics, economics, and computer science.https://www.mdpi.com/2624-7402/7/2/36graph-based techniqueMonte Carlo simulationsserial correlationtime seriestrend
spellingShingle Chalissery Mincy Thomas
Archana Nair
A Novel Graph-Based Innovative Trend Analysis Technique for Studying the Crop Trends in Kerala, India
AgriEngineering
graph-based technique
Monte Carlo simulations
serial correlation
time series
trend
title A Novel Graph-Based Innovative Trend Analysis Technique for Studying the Crop Trends in Kerala, India
title_full A Novel Graph-Based Innovative Trend Analysis Technique for Studying the Crop Trends in Kerala, India
title_fullStr A Novel Graph-Based Innovative Trend Analysis Technique for Studying the Crop Trends in Kerala, India
title_full_unstemmed A Novel Graph-Based Innovative Trend Analysis Technique for Studying the Crop Trends in Kerala, India
title_short A Novel Graph-Based Innovative Trend Analysis Technique for Studying the Crop Trends in Kerala, India
title_sort novel graph based innovative trend analysis technique for studying the crop trends in kerala india
topic graph-based technique
Monte Carlo simulations
serial correlation
time series
trend
url https://www.mdpi.com/2624-7402/7/2/36
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