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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Agron.</journal-id>
<journal-title>Frontiers in Agronomy</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Agron.</abbrev-journal-title>
<issn pub-type="epub">2673-3218</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fagro.2024.1352219</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Agronomy</subject>
<subj-group>
<subject>Mini Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A mini-review on data science approaches in crop yield and disease detection</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Valleggi</surname>
<given-names>Lorenzo</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1716393"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Stefanini</surname>
<given-names>Federico Mattia</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/855364"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Statistics, Computer Science, Application (DISIA), University of Florence</institution>, <addr-line>Florence</addr-line>, <country>Italy</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Environmental Science and Policy, University of Milan</institution>, <addr-line>Milan</addr-line>, <country>Italy</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Simone Ugo Maria Bregaglio, Council for Agricultural and Economics Research (CREA), Italy</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Alexa Lamm, University of Georgia, United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Lorenzo Valleggi, <email xlink:href="mailto:lorenzo.valleggi@unifi.it">lorenzo.valleggi@unifi.it</email>; Federico Mattia Stefanini, <email xlink:href="mailto:federico.stefanini@unimi.it">federico.stefanini@unimi.it</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>04</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>6</volume>
<elocation-id>1352219</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>03</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Valleggi and Stefanini</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Valleggi and Stefanini</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Agriculture constitutes a sector with a considerable environmental impact, a concern that is poised to increase with the projected growth in population, thereby amplifying implications for public health. Effectively mitigating and managing this impact demands the implementation of intelligent technologies and data-driven methodologies collectively called precision agriculture. While certain methodologies enjoy widespread acknowledgement, others, despite their lesser prominence, contribute meaningfully. This mini-review report discusses the prevalent AI technologies within precision agriculture over the preceding five years, with a specific emphasis on crop yield prediction and disease detection domains extensively studied within the current literature. The primary objective is to give a comprehensive overview of AI applications in agriculture, spanning machine learning, deep learning, and statistical methods. This approach aims to address a notable gap wherein existing reviews predominantly focus on singular aspects rather than presenting a unified and inclusive perspective.</p>
</abstract>
<kwd-group>
<kwd>machine learning</kwd>
<kwd>precision agriculture</kwd>
<kwd>statistical learning</kwd>
<kwd>crop yield</kwd>
<kwd>disease detection</kwd>
<kwd>sustainability</kwd>
</kwd-group>
<counts>
<fig-count count="1"/>
<table-count count="1"/>
<equation-count count="1"/>
<ref-count count="71"/>
<page-count count="8"/>
<word-count count="3888"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Climate-Smart Agronomy</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Agriculture plays a central role in the global economy, offering vital income generation and employment opportunities (<xref ref-type="bibr" rid="B48">Phasinam et&#xa0;al., 2022</xref>). It holds critical responsibilities in ensuring food quality and safety, preserving the environment, fostering integrated rural development, and maintaining social structure and cohesion in rural areas (<xref ref-type="bibr" rid="B39">Loizou et&#xa0;al., 2019</xref>). For instance, in 2022, the European Union&#x2019;s agricultural sector played a crucial economic role, contributing significantly with a gross value added of 222.3 billion euros. This amount represented about 1.4% of the total gross domestic product (GDP) of Europe. Particularly noteworthy was the relative increase in the estimated agricultural income per annual work unit, reaching a level 44.3% higher than that observed in 2015 (<xref ref-type="bibr" rid="B23">Eurostat, 2023</xref>). Furthermore, agriculture remained a crucial employer, with a staggering 8.7 million individuals employed in the agricultural sector across Europe in 2020, affirming its continued prominence within the EU (<xref ref-type="bibr" rid="B22">Eurostat, 2020</xref>). These data are projected to further surge in response to the expected increase in the global population, reaching 9.7 billion by 2050 (<xref ref-type="bibr" rid="B47">Pew Research Center, 2019</xref>). As evident from the data, the most substantial population increase is expected in Africa, with a projected boost of approximately 92.3% (<xref ref-type="bibr" rid="B47">Pew Research Center, 2019</xref>). Following by Latin America and Asia, which are expected to experience population growth by about 21% and 15.23%, respectively (<xref ref-type="bibr" rid="B47">Pew Research Center, 2019</xref>). The surge in population in specific regions has led to a notable escalation in food demand. A significant publication by <xref ref-type="bibr" rid="B5">Alexandratos and Bruinsma (2012)</xref> underscores the imperative need to increase global agricultural production by 60% to meet this growing food requirement. Developing countries are faced with an even greater challenge, as they would need to enhance agricultural output by 77%, while developed countries should aim for a 24% increase (<xref ref-type="bibr" rid="B40">Malhi et&#xa0;al., 2021</xref>). Consequently, the environmental impact of the agricultural sector has amplified, and in the next four decades, the emissions will increase by more than 60% (<xref ref-type="bibr" rid="B26">Fr&#xf3;na et&#xa0;al., 2019</xref>). In general, agriculture accounts for more than 11% of the total anthropogenic emission from direct source (<xref ref-type="bibr" rid="B42">Maraseni and Qu, 2016</xref>), and this value grows about 3-6% if the storage, transportation, packaging and agricultural input production are included (<xref ref-type="bibr" rid="B65">Tan et&#xa0;al., 2022</xref>). Considering direct agricultural emissions, 81% of the global ammonia (<italic>NH</italic>
<sub>3</sub>) is reached by the agronomic sector (<xref ref-type="bibr" rid="B19">Damme et&#xa0;al., 2021</xref>) as a result of the increase in animal feeding operation (<xref ref-type="bibr" rid="B57">Schultz et&#xa0;al., 2019</xref>). <italic>NH</italic>
<sub>3</sub> has a high impact on the ecosystem leading to the acidification and eutrophication phenomena and also has a key role in the Particulate Matter 2.5 micrometers (<italic>PM</italic>
<sub>2</sub>.<sub>5</sub>) generation which is responsible for serious health problems such as chronic obstructive pulmonary disorder and lung cancer (<xref ref-type="bibr" rid="B37">Lelieveld et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B7">Apte et&#xa0;al., 2018</xref>). Other emissions from the agricultural sector are methane (<italic>CH</italic>
<sub>4</sub>) and nitrous oxide (<italic>N</italic>
<sub>2</sub>
<italic>O</italic>) which are greenhouse gases (GHGs) and contribute to climate change. They are produced during the enteric fermentation, manure management, synthetic fertilizer, manure management, synthetic fertilizers, rice cultivation, manure applied to soils and pastures, crop residues, cultivation of organic soils, and burning of crop residues (<xref ref-type="bibr" rid="B29">Han et&#xa0;al., 2019</xref>). So it is undeniable that agriculture has a very large influence on climate change, which also has a negative effect on agriculture itself. Indeed, agriculture, being highly susceptible to climate variations, experiences adverse consequences due to significant fluctuations in temperature and rainfall. These variations directly influence crop yields and quality, posing challenges to food production and agricultural sustainability. For instance, extended precipitations could delay production processes due to muddy soils and inaccessible fields for machinery, high temperatures cause the lack of winter chill induces a negative effect on the quality of asparagus and rhubarb and affect flowering time, the increase of <italic>CO</italic>
<sub>2</sub> induce the reduction of micro and macronutrients in lettuce, celery (<xref ref-type="bibr" rid="B14">Bisbis et&#xa0;al., 2018</xref>).</p>
<p>In order to mitigate the impact of climate change on agriculture and simultaneously reduce agriculture&#x2019;s contribution to climate change embracing new technologies based on Data Science is required. In fact, data-driven decision-making holds the potential to revolutionize farming practices by enabling more efficient utilization of water, pesticides, and fertilizers, thereby minimizing environmental impacts (<xref ref-type="bibr" rid="B4">Akkem et&#xa0;al., 2023</xref>).</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Data science in agriculture</title>
<p>Nowadays, there are many new technologies based on the Internet of Things (IoT), wireless connection, cloud computing, and block-chain technology that have the potential to revolutionize crop monitoring. An example, is remote sensing technologies, such as satellite-based (Sentinel-3) or Unmanned Aerial Vehicle (UAV) systems, utilize spectral images to calculate reflected radiation (<xref ref-type="bibr" rid="B67">Toth and J&#xf3;&#x17a;k&#xf3;w, 2016</xref>). These images, when subjected to data analysis, provide valuable vegetation indices, including the widely used Normalized Difference Vegetation Index (NDVI) (<xref ref-type="bibr" rid="B62">Skakun et&#xa0;al., 2018</xref>), which assesses crop health based on the Red and Near Infrared reflectance. Beyond general vegetation indices, specific pigment content can be evaluated using remote sensing data. For instance, the Normalized Red Index quantifies chlorophyll levels, while the Normalized Green Index focuses on other pigments, excluding chlorophyll (<xref ref-type="bibr" rid="B51">Qi et&#xa0;al., 1994</xref>). In addition to remote sensing, field wireless sensor networks are employed to measure vital weather variables, such as temperature, air humidity, soil moisture, pH and so on (<xref ref-type="bibr" rid="B50">Priya and Yuvaraj, 2019</xref>). All these technologies guide agriculture toward a digital revolution, leading to the rise of precision agriculture (PA), which tackles the customization of agricultural practices to fit the unique characteristics of each crop, field, and environmental context. It advocates the adoption of cutting-edge technologies and data-driven approaches to effectively address the inherent heterogeneities within a field (<xref ref-type="bibr" rid="B25">Finger et&#xa0;al., 2019</xref>), providing an increase in terms of productivity using less natural resources such as energy and water (<xref ref-type="bibr" rid="B45">Pathan et&#xa0;al., 2020</xref>). PA finds broad applicability across various agricultural practices, offering valuable benefits in terms of resource efficiency and enhanced crop management. For instance, in the context of irrigation, PA enables precise water delivery, avoiding wastage and ensuring optimal water utilization. Similarly, in fertilization, PA plays a crucial role in identifying specific areas within the field where nutrients are needed, thereby providing targeted support to plant growth and minimizing resource losses due to over-application. Furthermore, PA&#x2019;s impact extends to pest control and disease detection, where early warnings through predictive models enable proactive intervention, reducing potential damage and optimizing treatment strategies (<xref ref-type="bibr" rid="B58">Shafi et&#xa0;al., 2019</xref>). In <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> are reported the domains where PA techniques are applied.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Distribution of the precision agriculture&#x2019;s publications in for each domain by <xref ref-type="bibr" rid="B38">Liakos et&#xa0;al. (2018)</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-06-1352219-g001.tif"/>
</fig>
<p>As evident from the data, the majority of publications in precision agriculture are concentrated in the crop domains (green). Specifically, disease detection (22%) and yield prediction (20%) stand out as the dominant subsections in research. The third most studied domain is livestock production, accounting for 12% of the publications. These new technologies are available in agriculture, paving the way for big data, and making it attractive for advanced data analysis methodologies such as Deep learning (DL) and Machine learning (ML), making them the most used in the recent literature for PA applications (<xref ref-type="bibr" rid="B9">Ayoub Shaikh et&#xa0;al., 2022</xref>). Here below are reported recent literatures about ML and DL techniques regarding Yield prediction and Disease detection, since these are the domains in which precision agriculture is most studied, then, another common class of model in PA applications is reviewed.</p>
<sec id="s2_1">
<label>2.1</label>
<title>Prominent machine and deep learning techniques employed in precision agriculture applications</title>
<p>Crop yield prediction is one of the most important sectors belonging to precision agriculture because accurate model predictions help farmers to optimize crop management, although this task remains quite complex due to the hierarchical nature of crop yield that involves variables ranging from plant genotype to environmental descriptors along time and space. Some of the most recent publications propose semiparametric DL networks to encode nonlinear relationships between variables, for instance, <xref ref-type="bibr" rid="B32">Jeong et&#xa0;al. (2022)</xref> developed an early stage prediction of rice yield at pixel scale methodology using as input variables: vegetation indices, transplanting dates, minimum and maximum of temperatures, solar radiation, administrative information, yearly rice maps. The outputs of the remote-sensing integrated crop model (RSCM) (<xref ref-type="bibr" rid="B49">Pistenma et&#xa0;al., 1977</xref>) was used to train five different DL models. The model selected was the Long Short-Term Memory combined with 1D-Convolutional Neural Network (CNN), also a comparison between the county-scale model and pixel-scale model was done, county-scale yields lack the significant advantages of satellite images and are less sensitive to spatial variations within each county region, while the pixel-scale crop yield better-representing variations within a region. CNNs are also used for strawberry cultivation to detect and count mature, immature strawberries, and blossoms, through UAV and near-ground digital images in order to predict strawberry yield and perfect harvesting time (<xref ref-type="bibr" rid="B71">Zhou et&#xa0;al., 2021</xref>). Another DL technique which finds application in crop yield prediction is deep neural networks which are multilayer feed-forward neural networks very useful with large datasets. Their training commonly involves gradient-based methods, though this can introduce challenges such as converging slowly or getting trapped in local minima due to the initialization of the random weights. To address this issue, a fusion of deep neural networks and genetic algorithms has been explored. This combination aims to address the issue of local minima by identifying a reduced-dimensional subspace of weights. This integration becomes especially relevant when environmental and genotype data are employed for accurate crop yield prediction (<xref ref-type="bibr" rid="B13">Bi and Hu, 2021</xref>).</p>
<p>The disease detection is vital to avoid loss of yield and quality of the crop, since pesticides were usually applied uniformly to the whole field, the classification and prediction of the early stage of the disease and finding critical infestation areas, are crucial in order to avoid economic losses and environmental problems, using mainly hourly weather data ranged from two to five years (<xref ref-type="bibr" rid="B24">Fenu and Malloci, 2021</xref>). Within this field ML techniques have been introduced for disease management, such as the work by <xref ref-type="bibr" rid="B12">Bhatia et&#xa0;al. (2022)</xref>. This study conducted a comparative analysis of three ML methods, namely k-Nearest Neighbor (k-NN), Support Vector Machine (SVM), and Na&#xa8;&#x131;ve Bayes (NB). The aim was to develop an optimized spray prediction model against powdery mildew, by exploiting the tomato powdery mildew dataset (TPMD). This dataset encompasses a range of weather variables like temperature, relative humidity, wind speed, and global radiation, along with leaf wetness data. The findings of this study indicated that SVM exhibited the most favorable classification performance, thus rendering it the most suitable choice for this particular prediction task. Furthermore, a hybrid variant of the SVM was introduced for the detection of powdery mildew. In this approach, SVM worked as a wrapper, enhancing the training set and minimizing the possibility of sample mislabeling. Subsequently, a logistic regression model was applied to the refined training set, leading to a reduction of the classification error (<xref ref-type="bibr" rid="B11">Bhatia et&#xa0;al., 2020</xref>). The Random Forest (RF) has been proposed as a machine learning classifier against tomato diseases. A RF uses leaf images of Early Blight, Late Blight, Septoria Leaf spot, Spidermite, Mosaic Virus, Yellow leaf curl virus, to classify the healthy and diseased plant leaves (<xref ref-type="bibr" rid="B28">Govardhan and M B, 2019</xref>). RFs have been observed that outperform other supervised ML and DL algorithms such as CNN, SVM and k-NN for the classification of maize plant leaf diseases (<xref ref-type="bibr" rid="B8">Arora et&#xa0;al., 2020</xref>).</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Mechanistic-deterministic models in precision agriculture applications</title>
<p>Big data leads to the use of another class of model, namely the mechanistic-deterministic model (MDM), which are not based on statistical relationships between variables, but they model biophysical processes accounting for deterministic relationships between crop growth and environmental, management and genetic factors. MDM are useful to understand complex crop-related phenomena and to optimally manage the agrosystems (<xref ref-type="bibr" rid="B44">Pasquel et&#xa0;al., 2022</xref>). These characteristics makes them a widespread tool in the agroenvironmental field, since they can work without massive amounts of data that can be time-consuming and expensive to collect, such as disease observations at level of leaf. Among the many applications developed in this model framework, below a comprehensive selection of models is summarized.</p>
<p>AquaCrop a prominent crop modeling tool by the FAO, predicts crop biomass and yield under diverse water management scenarios. Comprising multiple modules, each simulating aspects of agroecosystems with unique equations, its main components are outlined. The Phenology module identifies plant development stages, while the Climate module includes variables like air temperatures, rainfall, and evapotranspiration demand. The Soil module manages daily water balance, considering soil characteristics. The Canopy module models soil surface coverage, influenced by stress and phenological stage. The Biomass module (<xref ref-type="disp-formula" rid="eq1">Equation 1</xref>) calculates plant biomass over time using the formula:</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>W</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>B</italic> signifies final biomass, <italic>WP</italic> represents water productivity (biomass per cumulative transpiration unit), and <italic>Tr</italic> denotes daily crop transpiration. The remaining components quantify this equation. Dependencies exist among components, like the influence of carbon dioxide levels on water productivity (Climate), and the connection between green canopy cover and the Soil module. Green canopy cover is affected by air temperatures and evapotranspiration (Climate), creating a web of interdependencies (<xref ref-type="bibr" rid="B52">Raes et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B63">Steduto et&#xa0;al., 2009</xref>). AquaCrop&#x2019;s versatility spans various locations and seasons, facilitating its application in a wide range of contexts. Notably, it has been successfully coupled with remote sensing data, specifically green fractional vegetation cover, to estimate maize growth and total above-ground dry biomass in Belgium (<xref ref-type="bibr" rid="B43">Mohamed Sallah et&#xa0;al., 2019</xref>). Additionally, its efficacy has been demonstrated in investigating diverse irrigation treatments in Semi-Arid Tropical areas of India (<xref ref-type="bibr" rid="B68">Umesh et&#xa0;al., 2022</xref>), as well as exploring varied soil conditions&#x2019; impact on maize growth (<xref ref-type="bibr" rid="B59">Shan et&#xa0;al., 2022</xref>).</p>
<p>Another famous MDM is the decision support system for agrotechnology transfer (DSSAT) (<xref ref-type="bibr" rid="B33">Jones et&#xa0;al., 2003</xref>). It covers a wide range of applications, such as fertilization management (<xref ref-type="bibr" rid="B60">Si et&#xa0;al., 2021</xref>), irrigation management (<xref ref-type="bibr" rid="B41">Malik and Dechmi, 2019</xref>), impacts of the climate change (<xref ref-type="bibr" rid="B30">Hasan and Rahman, 2020</xref>), and so on. One of the main characteristics of DSSAT is that has been developed using a modular approach, where each module has a distinct goal and works independently using different MDM. For instance, the <italic>Soil module</italic> provides information about soil water, using CERES-Wheat model (<xref ref-type="bibr" rid="B54">Ritchie and Otter, 1985</xref>), simulating information about: the daily changes in soil water content due to infiltration of rainfall and irrigation, vertical drainage, unsaturated flow, soil evaporation, and root water uptake processes. The CROPGRO model (<xref ref-type="bibr" rid="B15">Boote et&#xa0;al., 1998</xref>) employs input data regarding crop growth, including optimal temperatures for various developmental stages, information on photosynthesis, and nitrogen fixation. It uses this information to simulate parameters such as the emergence day, harvest maturity date, daily senescent plant matter, and other critical elements for determining plant stress, such as the nitrogen stress factor. The modular structure of DSSAT makes easy for user the integration of new modules with different goals e.g. livestock management, also in different programming languages. They are other MDMs whose structure is based on different sub-models, but they achieve the same goal, the optimal agrosystem management (<xref ref-type="bibr" rid="B17">Brown et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B21">de Wit et&#xa0;al., 2019</xref>). A compartmental model has been proposed for pest management by <xref ref-type="bibr" rid="B55">Savary et&#xa0;al. (2012)</xref> which proposed a susceptible-exposed-infectious-removed model (SEIR model) which is composed by four compartments: healthy (H), latent (L), infectious (I), and post-infectious sites (P) epidemics, coupled with other variables such as: crop growth, tissue senescence disease (induced by disease or physiological) and the spatial aggregation of the disease. Those compartments are used to simulate the rice and wheat disease (<xref ref-type="bibr" rid="B56">Savary et&#xa0;al., 2015</xref>) over a 120-day duration using a daily time step.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Statistical methods in precision agriculture application</title>
<p>&#x201c;Pure&#x201d; statistical methods remain less prevalent in PA applications; however, they continue to play a significant role in specific sectors of agriculture. For instance, statistical approaches like Mixed Effects Models (MEM) are commonly employed in genome-wide association studies (GWAS) for crop breeding prediction, exemplified by the prominence of studies such as <xref ref-type="bibr" rid="B10">Berhe et&#xa0;al. (2021)</xref> use of Mixed Effects Models. In the domain of GWAS, Principal Component Analysis (PCA) is also frequently used due to its ability to reduce data complexity by transforming it into a limited number of Principal Components. These components can subsequently be incorporated as covariates in MEM, often employed to capture population structures (<xref ref-type="bibr" rid="B1">Abdi et&#xa0;al., 2023</xref>). PCA&#x2019;s suitability for various GWAS applications, including genotype-by-environment interaction analysis and trait selection for yield modeling, further underscores its importance (<xref ref-type="bibr" rid="B2">Abdipour et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B3">Ahakpaz et&#xa0;al., 2021</xref>). In the domain of soil mapping, geostatistical techniques like regression kriging continue to maintain prominence due to their consideration of spatial autocorrelation, a factor not fully embraced by many ML methods (<xref ref-type="bibr" rid="B31">Heuvelink and Webster, 2022</xref>). Conversely, within crop yield prediction and disease detection studies, statistical methodologies such as regression models (<xref ref-type="bibr" rid="B18">Chen et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B36">Kodaty and Halavath, 2021</xref>) and Bayesian networks (<xref ref-type="bibr" rid="B35">Kocian et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B61">Singh and Gupta, 2020</xref>) have been proposed. In <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, the studies cited in the text above are reported, including information about the goal of the study, the variables and the method used.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>AI studies in precision agriculture.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Reference</th>
<th valign="top" align="left">Goal</th>
<th valign="top" align="left">Variables</th>
<th valign="top" align="left">Model used</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B32">Jeong et&#xa0;al., 2022</xref>)</td>
<td valign="top" align="left">Prediction of rice yields</td>
<td valign="top" align="left">Daily solar radiation, temperature vegetation indices, yearly paddy maps, county and province information</td>
<td valign="top" align="left">1D-CNN</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B71">Zhou et&#xa0;al., 2021</xref>)</td>
<td valign="top" align="left">Strawberry maturity status detection and classification</td>
<td valign="top" align="left">Strawberry UAV images and<break/>near-ground digital camera images</td>
<td valign="top" align="left">CNN</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B13">Bi and Hu, 2021</xref>)</td>
<td valign="top" align="left">Predictive modeling on crop yield</td>
<td valign="top" align="left">Genotype and Phenotype data</td>
<td valign="top" align="left">DNN</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B12">Bhatia et&#xa0;al., 2022</xref>)</td>
<td valign="top" align="left">Spray scheduling for tomato powdery mildew</td>
<td valign="top" align="left">Temperature, relative humidity, wind speed and global radiation, leaf wetness</td>
<td valign="top" align="left">k-NN,<break/>SVM,<break/>NB</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B28">Govardhan and M B, 2019</xref>)</td>
<td valign="top" align="left">Tomato diseases classification&#x2003;</td>
<td valign="top" align="left">Tomato healthy and diseased leaf image</td>
<td valign="top" align="left">RF</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B8">Arora et&#xa0;al., 2020</xref>)</td>
<td valign="top" align="left">Maize diseases classification</td>
<td valign="top" align="left">Maize healthy and diseased leaf images</td>
<td valign="top" align="left">CNN,<break/>SVM,<break/>k-NN</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B43">Mohamed Sallah et&#xa0;al., 2019</xref>)</td>
<td valign="top" align="left">Estimation of maize growth</td>
<td valign="top" align="left">Soil characteristics, temperature, relative humidity, evapotraspiration, precipitation</td>
<td valign="top" align="left">AquaCrop</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B68">Umesh et&#xa0;al., 2022</xref>)</td>
<td valign="top" align="left">Assessment of the climate change on maize</td>
<td valign="top" align="left">Soil characteristics, temperature, relative humidity, evapotraspiration, precipitation, wind speed, CO2</td>
<td valign="top" align="left">AquaCrop</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B59">Shan et&#xa0;al., 2022</xref>)</td>
<td valign="top" align="left">Maize growth simulation under different conditions</td>
<td valign="top" align="left">Soil characteristics, temperature, relative humidity, evapotraspiration, precipitation, wind speed, CO2</td>
<td valign="top" align="left">AquaCrop</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B66">Ter&#xe1;n-Chaves et&#xa0;al., 2022</xref>)</td>
<td valign="top" align="left">Calibration and validation<break/>for perennial ryegrass growth</td>
<td valign="top" align="left">Soil characteristics, temperature, relative humidity, evapotraspiration, precipitation, wind speed, CO2, phenological data</td>
<td valign="top" align="left">AquaCrop</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B6">Alvar-Beltr&#xe1;n et&#xa0;al., 2023</xref>)</td>
<td valign="top" align="left">Irrigation management of maize,<break/>quinoa and tomato</td>
<td valign="top" align="left">Temperature, precipitation, field management,<break/>plant phenology and soil profile conditions</td>
<td valign="top" align="left">AquaCrop</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B60">Si et&#xa0;al., 2021</xref>)</td>
<td valign="top" align="left">Fertilization management, of drip-irrigated winter wheat</td>
<td valign="top" align="left">Weather data, soil data, crop genetic coefficients,<break/>and management information</td>
<td valign="top" align="left">DSSAT-CERES-<break/>Wheat</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B41">Malik and Dechmi, 2019</xref>)</td>
<td valign="top" align="left">Irrigation management of maize, alfa-alfa, wheat, barley<break/>and sunflower</td>
<td valign="top" align="left">Weather data, soil data, crop genetic coefficients,<break/>and management information</td>
<td valign="top" align="left">DSSAT</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B30">Hasan and Rahman, 2020</xref>)</td>
<td valign="top" align="left">Effect of the climate change on rice yield</td>
<td valign="top" align="left">Weather data, soil data, crop genetic coefficients,<break/>and management information</td>
<td valign="top" align="left">DSSAT</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B53">Rai et&#xa0;al., 2022</xref>)</td>
<td valign="top" align="left">Long-term impacts of no-tillage and conventional tillage on crop yield</td>
<td valign="top" align="left">Soil profile data, weather data</td>
<td valign="top" align="left">DSSAT-<break/>CERES-<break/>Maize,<break/>&#xa0;<break/>DSSAT- CROPGRO-<break/>Soybean</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B20">Della Nave et&#xa0;al., 2022</xref>)</td>
<td valign="top" align="left">Estimation forage sorghum phenology</td>
<td valign="top" align="left">NDVI, Temperature, solar radiation, precipitation, soil conditions, genotype data, biomass accumulation, management information</td>
<td valign="top" align="left">APSIM</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B16">Brischetto et&#xa0;al., 2021</xref>)</td>
<td valign="top" align="left">Infection prediction of Plamopara viticola</td>
<td valign="top" align="left">Temperature, relative humidity, precipitation, leaf wetness, wind speed,<break/>airborne sporangia</td>
<td valign="top" align="left">Weather-Driven model</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B10">Berhe et&#xa0;al., 2021</xref>)</td>
<td valign="top" align="left">Marker-trait association</td>
<td valign="top" align="left">Genomic and phenotypic data</td>
<td valign="top" align="left">MEM</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B3">Ahakpaz et&#xa0;al., 2021</xref>)</td>
<td valign="top" align="left">Grain yield of barley genotypes</td>
<td valign="top" align="left">Genotype data, precipitation</td>
<td valign="top" align="left">AMMI-PCA, PLS</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B2">Abdipour et&#xa0;al., 2019</xref>)</td>
<td valign="top" align="left">Identification of phenotypic and genotypic outlier and alleles associated with spike traits</td>
<td valign="top" align="left">Genomic and phenotypic data</td>
<td valign="top" align="left">MEM-PCA</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B36">Kodaty and Halavath, 2021</xref>)</td>
<td valign="top" align="left">Paddy leaf blast disease prediction</td>
<td valign="top" align="left">Temperature, precipitation, nitrogen usage, disease obsevations</td>
<td valign="top" align="left">LR</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B18">Chen et&#xa0;al., 2020</xref>)</td>
<td valign="top" align="left">Grape downy mildew prediction</td>
<td valign="top" align="left">Disease onset, temperature, precipitation</td>
<td valign="top" align="left">GLM, LASSO, GB, RF</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B61">Singh and Gupta, 2020</xref>)</td>
<td valign="top" align="left">Pest management</td>
<td valign="top" align="left">Crop health, pest activity, temperature, precipitation, humidity</td>
<td valign="top" align="left">BN</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B35">Kocian et&#xa0;al., 2020</xref>)</td>
<td valign="top" align="left">Crop growth prediction</td>
<td valign="top" align="left">Temperature, solar irradiance, vapor-pressure, evapotranspiration, LAI, dry weight</td>
<td valign="top" align="left">DBN</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B64">Stefanini and Valleggi, 2022</xref>)</td>
<td valign="top" align="left">Plasmopara viticola prediction</td>
<td valign="top" align="left">Temperature, humidity, incidence, number of spores</td>
<td valign="top" align="left">BN</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B70">Valleggi et&#xa0;al., 2024</xref>)</td>
<td valign="top" align="left">Maize yield prediction</td>
<td valign="top" align="left">Temperature, humidity, phenotypic data</td>
<td valign="top" align="left">BN</td>
</tr>
<tr>
<td valign="top" align="left">(<xref ref-type="bibr" rid="B69">Valleggi et&#xa0;al., 2023</xref>)</td>
<td valign="top" align="left">Treatment selection against<break/>Plasmopara viticola</td>
<td valign="top" align="left">Disease incidence, year of observation</td>
<td valign="top" align="left">LR</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>1D-CNN, 1D-Convolutional neural network; CNN, Convolutional neural network; DNN, Deep neural network; k-NN, k-nearest neighbours; SVM, support vector machine; RF, random forest; NB, naive bayes; MEM, mixed effect model; PLS, partial least squares; AMMI-PCA, additive main effects and multiplicative interaction-principal component analysis; LR, logistic regression; GLM, generalized linear model; GB, gradient boosting; BN, bayesian network; DBN, dynamic bayesian network; LASSO, least absolute shrinkage and selection operator.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s3" sec-type="discussion">
<label>3</label>
<title>Discussion</title>
<p>The objective of this concise review is to offer a comprehensive overview of the prevailing data science methodologies, highlighting their popularity and significance in the field. Indeed, an extensive portion of the literature is focused on machine learning and deep learning because the black-box/opaque AI methodologies may require less work from experts, albeit at the price of much more computational work because of the big sample size required. On the other hand, mechanistic-deterministic models take the other part of the literature with many applications ranging from fertilization management to disease predictions, but they often neglect the inferential uncertainty, with the risk of falsely over-accurate inferential statements. The MDMs clearly offer significant advantages in agrosystem management, enabling predictions across various scenarios of interest. To achieve this predictive power, a crucial step often involves calibration, which entails identifying optimal, context-specific parameter values (input values) for solving the underlying equations. These parameter values might be initially unknown, necessitating a comparison of observed data with predictions generated by the MDM. This process serves to assess the accuracy of the input values and is called trial-and-error procedure. Conversely, if the input values are sourced from literature or established knowledge, they are considered tuning parameters. However, regardless of the approach taken, both methods fail to quantify the forecast uncertainty inherent in the model (<xref ref-type="bibr" rid="B34">Kennedy and O&#x2019;Hagan, 2001</xref>). In crop modelling with MDMs, the trial-and-error procedure is the most used (<xref ref-type="bibr" rid="B20">Della Nave et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B53">Rai et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B66">Ter&#xe1;n-Chaves et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B6">Alvar-Beltr&#xe1;n et&#xa0;al., 2023</xref>) where the authors use historical data or build new experiments to achieve their prediction goals. Statistical procedures can be employed in the input value selection phase to facilitate uncertainty quantification in predictions. However, their application within these studies remains circumscribed, in part due to the involved nature of these techniques, but also for the prominent role played by the adopted calibration method on the resulting prediction errors (<xref ref-type="bibr" rid="B27">Gao et&#xa0;al., 2020</xref>).</p>
<p>The literature cited in this work highlights the limited number of contributions dealing with statistical methodologies in the PA field, particularly for crop yield prediction and disease detection; future work might consider the quantitative integration of the expert&#x2019;s degree of belief into the decision-making processes of agriculture (<xref ref-type="bibr" rid="B69">Valleggi et&#xa0;al., 2023</xref>, <xref ref-type="bibr" rid="B70">2024</xref>). This starting step also seems helpful in fully harnessing the power of modern structural causal models (<xref ref-type="bibr" rid="B46">Pearl, 2009</xref>) and improving decision-making in PA (<xref ref-type="bibr" rid="B64">Stefanini and Valleggi, 2022</xref>).</p>
</sec>
<sec id="s4" sec-type="author-contributions">
<title>Author contributions</title>
<p>LV: Conceptualization, Writing &#x2013; original draft. FS: Conceptualization, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<sec id="s6" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s7" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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