<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.2" xml:lang="en">
    <front>
        <journal-meta>
            <journal-id journal-id-type="pmc">F1000Research</journal-id>
            <journal-title-group>
                <journal-title>F1000Research</journal-title>
            </journal-title-group>
            <issn pub-type="epub">2046-1402</issn>
            <publisher>
                <publisher-name>F1000 Research Limited</publisher-name>
                <publisher-loc>London, UK</publisher-loc>
            </publisher>
        </journal-meta>
        <article-meta>
            <article-id pub-id-type="doi">10.12688/f1000research.178130.1</article-id>
            <article-categories>
                <subj-group subj-group-type="heading">
                    <subject>Research Article</subject>
                </subj-group>
                <subj-group>
                    <subject>Articles</subject>
                </subj-group>
            </article-categories>
            <title-group>
                <article-title>THE IMPACT OF CHANGING WEATHER PATTERNS ON MAIZE YIELD IN SOUTH AFRICA: EVIDENCE FROM QUANTILE REGRESSION</article-title>
                <fn-group content-type="pub-status">
                    <fn>
                        <p>[version 1; peer review: 1 approved with reservations]</p>
                    </fn>
                </fn-group>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author" corresp="yes">
                    <name>
                        <surname>Mbewana</surname>
                        <given-names>Vusi</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <uri content-type="orcid">https://orcid.org/0009-0009-8380-2319</uri>
                    <xref ref-type="corresp" rid="c1">a</xref>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Ngubane</surname>
                        <given-names>Mbongeni</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Data Curation</role>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Kaseeram</surname>
                        <given-names>Irrshad</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Data Curation</role>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <xref ref-type="aff" rid="a3">3</xref>
                </contrib>
                <aff id="a1">
                    <label>1</label>Economics, University of Zululand Faculty of Commerce Administration and Law, KwaDlangezwa, 3886, South Africa</aff>
                <aff id="a2">
                    <label>2</label>Economics, University of Zululand Faculty of Commerce Administration and Law, KwaDlangezwa, 3886, South Africa</aff>
                <aff id="a3">
                    <label>3</label>Economics, University of Zululand Faculty of Commerce Administration and Law, KwaDlangezwa, 3886, South Africa</aff>
            </contrib-group>
            <author-notes>
                <corresp id="c1">
                    <label>a</label>
                    <email xlink:href="mailto:MbewanaV@unizulu.ac.za">MbewanaV@unizulu.ac.za</email>
                </corresp>
                <fn fn-type="conflict">
                    <p>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>7</day>
                <month>4</month>
                <year>2026</year>
            </pub-date>
            <pub-date pub-type="collection">
                <year>2026</year>
            </pub-date>
            <volume>15</volume>
            <elocation-id>481</elocation-id>
            <history>
                <date date-type="accepted">
                    <day>10</day>
                    <month>3</month>
                    <year>2026</year>
                </date>
            </history>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2026 Mbewana V et al.</copyright-statement>
                <copyright-year>2026</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <self-uri content-type="pdf" xlink:href="https://f1000research.com/articles/15-481/pdf"/>
            <abstract>
                <sec>
                    <title>Background</title>
                    <p>The ongoing shifts in climate are harming maize harvests, food safety, and the economic well-being of small farmers in many low-income countries. As global heat rises, extreme weather becomes more frequent, complicating agricultural practices and food manufacturing. Farming systems in sub-Saharan Africa that rely on rain are prone to failure because of environmental pressures and poor soil quality. Future variations in weather and heat are predicted to alter nutrient cycles, crop maturation, and yields. These obstacles have grave impacts on society, leading to malnutrition and social unrest, thus positioning environmental change as a top priority for political leaders. This study investigated the impact of climate change on maize yields in South Africa context.</p>
                </sec>
                <sec>
                    <title>Methods</title>
                    <p>The annual data for maize yield were collected from the Food and Agriculture Organization (FOA) from 1981 to 2022. Monthly data covering the period 1981&#x2013;2022 for maximum temperature, minimum temperature, and precipitation were collected from the power access (NASA Power Data Viewer) database. Both the annual and monthly data were transformed into quarterly data to ensure that the series had the same number of observations. Stata 14.0 was utilized to estimate the quantile regression model.</p>
                </sec>
                <sec>
                    <title>Results</title>
                    <p>The findings showed that maize yield was positively influenced by maximum temperature, precipitation, and temperature change on land. The minimum temperatures showed mixed findings, where a negative effect was observed at the lowest quantile (25th), whereas a positive relationship was found at the highest quantiles (90th and 95th). These results imply that provinces with lower maize production were severely affected by declining minimum temperatures. In contrast, rising minimum temperatures were beneficial for provinces with higher maize production.</p>
                </sec>
                <sec>
                    <title>Conclusion</title>
                    <p>There is a need to modify planting schedules to prevent exposure to low temperatures during essential growth phases. Farmers should employ accuracy agricultural technologies to monitor temperature fluctuations and adapt to the management strategies.</p>
                </sec>
            </abstract>
            <kwd-group kwd-group-type="author">
                <kwd>Cliimate change</kwd>
                <kwd>maize yield</kwd>
                <kwd>minimum and maximum temperatures</kwd>
            </kwd-group>
            <funding-group>
                <award-group id="fund-1">
                    <funding-source>No funding</funding-source>
                    <award-id>Notapplicable</award-id>
                </award-group>
                <funding-statement>The author(s) declared that no grants were involved in supporting this work.</funding-statement>
            </funding-group>
        </article-meta>
    </front>
    <body>
        <sec id="sec5" sec-type="intro">
            <title>1. Introduction</title>
            <p>Rain-fed agriculture in sub-Saharan Africa faces significant risks of crop failure due to various stressors, with climatic factors and nutrient deficiencies being the most critical (
                <xref ref-type="bibr" rid="ref58">Siatwiinda et al., 2021</xref>). Anticipated shifts in rainfall and temperature patterns across different locations and timeframes are expected to influence water and nutrient availability, crop development, and overall yield (
                <xref ref-type="bibr" rid="ref16">Fosu-Mensah et al., 2019</xref>). The ongoing increase in global temperatures has intensified extreme weather events, creating substantial challenges for agriculture and food production (
                <xref ref-type="bibr" rid="ref59">Zhang et al., 2022a</xref>). Climate change continues to affect maize production, food security, and the livelihoods of smallholder farmers in many developing countries (
                <xref ref-type="bibr" rid="ref54">Zizinga et al., 2022</xref>). These challenges have serious consequences for human well-being, including food insecurity and conflicts arising from shortages, making climate change a critical issue for policymakers (
                <xref ref-type="bibr" rid="ref29">Magodora 2020</xref>).</p>
            <p>Several studies have explored the impacts of climate change on maize production. 
                <xref ref-type="bibr" rid="ref3">Adisa et al. (2018)</xref> found that maximum temperature positively influenced maize yields in Mpumalanga, KwaZulu-Natal, and the Free State, while minimum temperatures had a negative effect on maize production in KwaZulu-Natal. Similarly, 
                <xref ref-type="bibr" rid="ref60">Zhang et al. (2022b)</xref> reported that increasing temperature and precipitation are contributing factors to maize output and highlighted the importance of labor and material capital inputs in determining yield. 
                <xref ref-type="bibr" rid="ref30">Mapfumo et al. (2020)</xref> observed that rainfall positively affected white maize yields in the Free State, KwaZulu-Natal, and North-West, while yellow maize yields also benefited from increased rainfall in the Free State and KwaZulu-Natal. Additionally, 
                <xref ref-type="bibr" rid="ref25">Li et al. (2022)</xref> concluded that a global temperature rise of 1.5 degrees Celsius would enhance maize yields in most countries.</p>
            <p>Previous empirical studies have indicated that agricultural production is heavily influenced by climatic conditions, making the sector particularly vulnerable to climate change (
                <xref ref-type="bibr" rid="ref33">Matimolane et al., 2020</xref>). This vulnerability poses a significant risk to subtropical countries, such as South Africa, where shifting climate patterns contribute to declines in farm output (
                <xref ref-type="bibr" rid="ref10">Bouteska et al., 2024</xref>). Maize is South Africa&#x2019;s most essential grain crop, serving as both a staple food for the majority of the population and a key feed grain (
                <xref ref-type="bibr" rid="ref45">
South African Government 2023</xref>). In the South African context, most previous studies have relied on disaggregated data to assess the effects of climate change on maize yields (
                <xref ref-type="bibr" rid="ref33">Matimolane et al., 2020</xref>; 
                <xref ref-type="bibr" rid="ref30">Mapfumo et al., 2020</xref>; 
                <xref ref-type="bibr" rid="ref44">Simanjuntak et al., 2023</xref>).</p>
            <p>These studies focused on provinces declared to be high maize producers and neglected those with low maize production. Prior to 1987, there were four provinces in South Africa; hence, the majority of researchers used the data collected after nine provinces were formed (
                <xref ref-type="bibr" rid="ref44">Simanjuntak et al., 2023</xref>). Thus, data collected before 1987 were ignored. The current study addressed this gap in the literature by utilizing nationally representative time-series data and quantile regression models to accommodate farmers in provinces with lower maize production. This is the only model capable of dividing maize yield into low, medium, and high production (
                <xref ref-type="bibr" rid="ref38">Olagunju et al., 2020</xref>).</p>
            <p>To the best of our knowledge, no study has attempted to distinguish maize producers using quantile regression and incorporating temperature change on land in the regression to assess its effect on maize yield. Thus, the current study contributes to the existing literature by including temperature change on land as an indicator of climate change to examine its impact on maize yield in the South African context. It is important to investigate the impact of climate in South Africa, because almost all provinces are severely affected by changing weather patterns (
                <xref ref-type="bibr" rid="ref42">Roffe et al., 2024</xref>). The findings of the current study will inform policy interventions needed to tackle the issue of climate change among maize producers in South Africa.</p>
        </sec>
        <sec id="sec6">
            <title>2. Literature review</title>
            <p>The topic of climate change versus maize yield has been the subject of discussion for many decades. Climate change refers to scientific theories regarding the relationship between carbon dioxide (CO
                <sub>2</sub>) and heat (temperature). The onset of excessive carbon emissions causing global warming was envisaged by 
                <xref ref-type="bibr" rid="ref8">Arrhenius (1997)</xref>. The study based its findings on the fact that carbon dioxide increases temperature over time; however, the work gained attention in the mid-19
                <sup>th</sup> century, when most studies noticed changes in climate conditions. Approximately 97% of the studies concluded that CO2 emissions are significant in harming the atmosphere (
                <xref ref-type="bibr" rid="ref18">Harris et al., 2016</xref>). Lower-income economies will suffer the worst effects of global warming (
                <xref ref-type="bibr" rid="ref55">Bellon and Massetti, 2022</xref>). Moreover, the SADC community is home to lower-income economies in Africa. The IMF report continues to be poor in terms of climate vulnerability. At the same time, richer households can adapt to the climatic conditions.</p>
            <p>The economics of climate change is the introduction of the tax system (sin tax) to polluters of the atmosphere. Again, the contribution has been made to the literature on the effect of climate change on economic sectors, negative externalities, taxation, agriculture, human health, and comparisons between developed economies, emerging economies, and less developed countries. This study is interested in providing literature on the effect of climate change on maize yield and the possible gaps that exist in the literature. For example, the literature discussed below has three clusters: the effects of climate change on maize yield, food insecurity, and projections of world temperature.</p>
            <p>Previous studies have shown that climate change has no positive or negative effects on maize yield. For instance, 
                <xref ref-type="bibr" rid="ref26">Li et al. (2011)</xref> noted that reduced maize supply is associated with high product prices in the world. This study was conducted in the United States of America and China, which hold first and second place, respectively, in terms of mass production of maize in the world. Studies conducted at the beginning of the 21
                <sup>st</sup> century have projected an increase in temperature from time to time. For example, 
                <xref ref-type="bibr" rid="ref32">Mati (2000)</xref> investigated the incidence of climate change in three Kenyan regions. The study indicated that by 2030, the temperature will rise from 2.29 to 2.89, in summer. 
                <xref ref-type="bibr" rid="ref50">Xiao et al. (2022)</xref> noted that a very sharp temperature increase will occur throughout the 21
                <sup>st</sup> century and it will cause drought. The study was conducted using 20 global climate change models and the APSIM maize model in northern China. Several studies have used the APSIM model to make future projections regarding climate change in relation to maize yield. For example, 
                <xref ref-type="bibr" rid="ref28">Luo et al. (2023)</xref> noted that high temperatures are expected to reduce maize yields by 23%. This study used data from 1990 to 2012. In the same lane, feasible generalized least squares (FGLS), indicated that both minimum and maximum temperatures induce a high risk of reducing maize yield (
                <xref ref-type="bibr" rid="ref17">Guntukula and Goyari, 2020</xref>). The study used data from 1956 to 2015 in the Telangana region in southern India. 
                <xref ref-type="bibr" rid="ref27">Luhunga (2017)</xref> shared similar sentiments with Tanzania. These studies have provided both projections and the effects of climate change on maize yield. Unlike earlier studies, the latest literature confirms the negative effects of climate change on maize yields.</p>
            <p>Some studies have used temperature to measure climate change, while others have used CO
                <sub>2</sub>. 
                <xref ref-type="bibr" rid="ref59">Zhang et al. (2022a)</xref>, who in their findings indicated that both precipitation and temperature have a positive impact on maize yield, while a lack of light from the sun has negative effects. The study used a panel of 3050 informants regarded as small farmers in China, from whom data from 2009 to 2018 were extracted. However, this study lacked an indication of the temperature threshold, and the CO
                <sub>2</sub> had a positive effect on maize yield in Ghana. The study was conducted in Ghana through time series data ranging from 1990 to 2020 (
                <xref ref-type="bibr" rid="ref37">Ntiamoah et al., 2022</xref>; 
                <xref ref-type="bibr" rid="ref7">Araya et al., 2017</xref>) indicated same findings in USA. The study noted that CO
                <sub>2</sub> will increase maize yield, despite the decline projections in the 21
                <sup>st</sup> century connected to climate change.</p>
            <p>The factors that positively contribute to maize production include rain and precipitation. 
                <xref ref-type="bibr" rid="ref39">Oseni and Masarirambi (2011)</xref> indicated that most maize farms in most emerging economies in Africa are rainfed. It helps other factors and reduces food insecurity, meaning that it assists even subsistence farming done by households. The study was conducted in Swaziland using two analyses with the help of data from 1990 to 2009. 
                <xref ref-type="bibr" rid="ref20">Jones and Thornton (2003)</xref> found that emerging economies lose approximately $2 billion due to their vulnerability to climate change. The simulation model projected a 10% loss of agricultural products due to climate-related events by 2055. Similarly, 
                <xref ref-type="bibr" rid="ref34">Msowoya et al. (2016)</xref> noted that by 2050, maize yield, which depends on natural rain, is expected to decrease by 14% owing to climate events. The study was conducted in Lilongwe District, located in Malawi. On the other hand, 
                <xref ref-type="bibr" rid="ref24">Lebel et al. (2015)</xref> projected that the rain harvest of maize yield will instead increase from 24% to 50% by half a century in Africa. The aforementioned studies indicate a disagreement in the literature concerning projections of maize productivity. 
                <xref ref-type="bibr" rid="ref15">Coster and Adeoti (2015)</xref> specifically noted that rainy days&#x2019; influence high maize productivity compared to the no rain season. The study was conducted under the supervision of 346 informants who participated in the study in Nigeria. The same sentiment was reported by 
                <xref ref-type="bibr" rid="ref49">Wu et al. (2021)</xref> in China.</p>
            <p>On the other hand, 
                <xref ref-type="bibr" rid="ref40">Ray et al. (2019)</xref> insisted on the negative impact of climate change on maize production, including other major agricultural productivity such as rice, avocado, barley, sorghum, oil plant, soybean, wheat, and sugar cane. The linear equation model indicated that Europe, Australia, and Southern Africa suffered worse impacts, whereas Latin America was safe. It is not surprising that they have an advantage in maize productivity. 
                <xref ref-type="bibr" rid="ref22">Kogo et al. (2019)</xref> reviewed the literature from 1990 to 2018 on this topic and found that CERES and APSIM models were dominant in such investigations. This study noted that current studies during the time of writing predicted a reduction in maize yield by the end of the current century. The same results are confirmed by 
                <xref ref-type="bibr" rid="ref46">Tachie-Obeng, Akponikp&#x00e8;, and Adiku (2013)</xref> and (
                <xref ref-type="bibr" rid="ref46">Tachie-Obeng, Akponikp&#x00e8;, and Adiku 2013</xref>) in Ghana,</p>
            <p>The same sentiment was delivered by 
                <xref ref-type="bibr" rid="ref1">Abera et al. (2018)</xref>, who in their study projected maize yield as from to 1980&#x2013;2010, 2011 to 2039, 2040to 2069 and 2070&#x2013;2099. The findings indicate that maize yield is expected to decrease from 43% to 24% by the end of the century. Similarly, 
                <xref ref-type="bibr" rid="ref11">Byjesh et al. (2010)</xref> and (
                <xref ref-type="bibr" rid="ref11">Byjesh, Kumar, and Aggarwal 2010</xref>), projection indicated that a high temperature from 2020 to 2080 will be accompanied by a decline in maize production in India. However, high rainfall increases maize productivity. Therefore, studies that project the future highly note the future decline in light of high temperatures.</p>
            <p>Although South Africa is equally a maize producer, they are few studies that are worried about climate change on maize productivity. This section briefly describes these studies in detail. According to 
                <xref ref-type="bibr" rid="ref14">Choruma, Akamagwuna, and Odume (2022)</xref> maize productivity is expected to decrease by 24% by the end of the 21
                <sup>st</sup> century. The temperature is expected to increase to over 50% of the projected EPIC simulation model, which was conducted in Eastern Cape, South Africa, using data ranging from 1980 to 2010. This incident is partly because the majority of farmers still depend on rain-fed farms. Hence, more farmers are aware of climate change issues and use timing strategies for farming throughout the year (
                <xref ref-type="bibr" rid="ref4">Akanbi, Davis, and Ndarana 2021</xref>). The study was conducted in Vaal through interviews with the informants, and descriptive statistics and a multinomial model were employed in the study.</p>
            <p>
                <xref ref-type="bibr" rid="ref2">Abraha and Savage (2006)</xref> noted that CO
                <sub>2</sub> and temperature are the main factors that affect maize yield in Cedara, KZN Province. The ClimGen simulation indicated that precipitation affected maize less than the former. 
                <xref ref-type="bibr" rid="ref31">Masipa (2017)</xref> noted that climate change is a treatment of overall food security in South Africa and food inflation. These studies have raised awareness of climate change and the creation of alternatives to rainwater. 
                <xref ref-type="bibr" rid="ref23">Landman et al. (2018)</xref> noted that the maximum temperature is expected to increase by 4&#x00a0;&#x00b0;C&#x00a0;&#x00b0;C at the end of the century. This study used the linear recalibration model in the Southern African region, which covers other economies located around the SA. Similarly, 
                <xref ref-type="bibr" rid="ref13">Chemura et al. (2022)</xref> noted that the South African region is projected to face more dry days than rainy days. Projection was performed using the maize stability model from 1986 to 2064. Therefore, future projections indicate a misfortunate future in relation to maize productivity and food security.</p>
            <p>In addition to the contrasting findings of the studies above concerning changes in climate change on maize yield. In this study, it was noted that the literature covers other regions and few studies cover South Africa as an economy. Equally important, most studies cover a region located in a country and not the entire country. It is also observed that there is no study in literature that has used temperature change on land; this remains one of the contributions of the study in literature.</p>
        </sec>
        <sec id="sec7">
            <title>3. Methodology</title>
            <p>The study relies on a positivism research paradigm that posits that reality can be studied from an objective point of view, given the quantitative nature of the variables studied. In this section, the nature of the data, the quantile regression model, and diagnostic tests are explained. Monthly meteorological data (maximum temperature, minimum temperature, and precipitation) were extracted from power access data spanning 1981 to 2022. On the other hand, the annual data for maize yield and temperature change on land (that was later transformed into quarterly data) were downloaded from the Food and Agriculture Organization which covered a period of 1981 to 2022.</p>
            <p>Maize yield studies in different parts of the world have used this variable as an important factor that indicates food security in the form of maize productivity and other items made from maize. It has been used as a dependent and continuous variable based on data availability. Several studies in the literature have used it in the same way, such as 
                <xref ref-type="bibr" rid="ref12">Chandio et al. (2023)</xref>, 
                <xref ref-type="bibr" rid="ref18">Harris et al. (2016)</xref>, and 
                <xref ref-type="bibr" rid="ref37">Ntiamoah et al. (2022)</xref>, to count the few used in economics.</p>
            <p>The minimum and maximum temperatures (
                <xref ref-type="table" rid="T1">
Table 1</xref>) were both separate variables used in this study. The minimum temperature implies the lowest temperature recorded in a particular region in a specific period, which could be understood as cool. The maximum temperature can be understood as the highest temperature recorded in a particular region, such as heat. They are measured in Celsius (see the table below). 
                <xref ref-type="bibr" rid="ref23">Landman et al. (2018)</xref> and 
                <xref ref-type="bibr" rid="ref17">Guntukula and Goyari (2020)</xref> used both the temperature variables as explanatory variables.</p>
            <table-wrap id="T1" orientation="portrait" position="float">
                <label>
Table 1. </label>
                <caption>
                    <title>Measurement and description of variables.</title>
                </caption>
                <table content-type="article-table" frame="hsides">
                    <thead>
                        <tr>
                            <th align="left" colspan="1" rowspan="1" valign="top">Variable</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Description</th>
                            <th align="left" colspan="1" rowspan="1" valign="top">Measurement</th>
                        </tr>
                    </thead>
                    <tbody>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="top">LNYied</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Log of Maize yield</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Kg/ha</td>
                        </tr>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="top">TCL</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Temperature change on Land</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Degrees Celsius</td>
                        </tr>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="top">MINT</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Minimum daily temperature</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Degrees Celsius</td>
                        </tr>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="top">MAXT</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Maximum daily temperature</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Degrees Celsius</td>
                        </tr>
                        <tr>
                            <td align="left" colspan="1" rowspan="1" valign="top">PREC</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Precipitation</td>
                            <td align="left" colspan="1" rowspan="1" valign="top">Rainfall in millimeters</td>
                        </tr>
                    </tbody>
                </table>
            </table-wrap>
            <p>Precipitation has been cited as a favorable variable for maize (
                <xref ref-type="bibr" rid="ref26">Li et al., 2011</xref>; 
                <xref ref-type="bibr" rid="ref35">Murray-Tortarolo et al., 2018</xref>). It has been used as a measure of rainfall in the region, as measured in millimeters. Most maize farms in emerging economies still rely on this variable ( 
                <xref ref-type="bibr" rid="ref6">Ammani et al., 2013</xref>).</p>
            <sec id="sec8">
                <title>3.1 Quantile regression model</title>
                <p>The objective of this study was to investigate the effects of temperature, rainfall, and temperature on maize yield. As the literature indicates, many studies have investigated different econometric models. For example, 
                    <xref ref-type="bibr" rid="ref36">Noorunnahar et al. (2023)</xref> used the ARDL model and 
                    <xref ref-type="bibr" rid="ref12">Chandio et al. (2023)</xref> used both the former and VECM. The dominant models involve the CERES and APSIM simulations (
                    <xref ref-type="bibr" rid="ref22">Kogo et al., 2019</xref>). Therefore, we used a quantile regression model in this study. The model allows the researcher to study the response of the explanatory variables to different levels of the dependent variables (
                    <xref ref-type="bibr" rid="ref56">Mbewana and Kaseeram, 2024</xref>). For example, the effect of temperature on small, medium, and large producers of maize. As indicated previously, the dominant studies in the literature cover only the region of the economy, and in this study, we are interested in the entire economy of SA. This means that we consider small farmers and regions with large farmers specializing in maize productivity. The model was not used in this study, excluding 
                    <xref ref-type="bibr" rid="ref57">Nyamekye et al. (2016)</xref>, who investigated the effect of human capital on maize productivity in Ghana. Maize yield takes the following form, according to (
                    <xref ref-type="bibr" rid="ref36">Noorunnahar et al., 2023</xref>)
                    <disp-formula id="e1">

                        <mml:math display="block">
                            <mml:mi>Y</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mi>f</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi>x</mml:mi>
                                    <mml:mn>1</mml:mn>
                                </mml:msub>
                                <mml:msub>
                                    <mml:mi>x</mml:mi>
                                    <mml:mn>2</mml:mn>
                                </mml:msub>
                                <mml:mo>&#x2026;</mml:mo>
                                <mml:msub>
                                    <mml:mi>x</mml:mi>
                                    <mml:mn>0</mml:mn>
                                </mml:msub>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                            <mml:mspace width="0.25em"/>
                        </mml:math>

                        <label>(1)</label>
</disp-formula>
                </p>
                <p>Where Y denotes maize yield as a dependent variable and x denotes explanatory variables such as temperature. Other studies have used CO
                    <sub>2</sub> instead of temperature such a (
                    <xref ref-type="bibr" rid="ref12">Chandio et al., 2023</xref>). The quantile regression model was first introduced by 
                    <xref ref-type="bibr" rid="ref21">Koenker and Bassett (1978)</xref> as an alternative model to overcome OLS shortfalls. Quantile Regression is used to predict the median rather than the mean, which is normally estimated using OLS (
                    <xref ref-type="bibr" rid="ref56">Mbewana and Kaseeram, 2024</xref>). QR is an extension of OLS, and it is used when the normality and homoscedastic assumptions are violated.</p>
                <p>The following equations are model specifications in the form of study variables. Few studies have investigated the relationship between climate change and maize yield (
                    <xref ref-type="bibr" rid="ref6">Ammani et al. 2013</xref>), (
                    <xref ref-type="bibr" rid="ref37">Ntiamoah et al. 2022</xref>), and (
                    <xref ref-type="bibr" rid="ref12">Chandio et al. 2023</xref>):
                    <disp-formula id="e2">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mtext mathvariant="italic">Myield</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b1;</mml:mi>
                                <mml:mn>10</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b1;</mml:mi>
                                <mml:mn>10</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MAXT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b1;</mml:mi>
                                <mml:mn>10</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MINT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b1;</mml:mi>
                                <mml:mn>10</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">PRT</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b1;</mml:mi>
                                <mml:mn>10</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">TCL</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b5;</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>(2)</label>
</disp-formula>

                    <disp-formula id="e3">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mtext mathvariant="italic">Myield</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>25</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>25</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MAXT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>25</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MINT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>25</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">PRT</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>25</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">TCL</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03f5;</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>(3)</label>
</disp-formula>

                    <disp-formula id="e4">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mtext mathvariant="italic">Myield</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b3;</mml:mi>
                                <mml:mn>50</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b3;</mml:mi>
                                <mml:mn>50</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MAXT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b3;</mml:mi>
                                <mml:mn>50</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MINT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b3;</mml:mi>
                                <mml:mn>50</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">PRT</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b3;</mml:mi>
                                <mml:mn>50</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">TCL</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>u</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>(4)</label>
</disp-formula>

                    <disp-formula id="e5">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mtext mathvariant="italic">Myield</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b4;</mml:mi>
                                <mml:mn>75</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b4;</mml:mi>
                                <mml:mn>75</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MAXT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b4;</mml:mi>
                                <mml:mn>75</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MINT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b4;</mml:mi>
                                <mml:mn>75</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">PRT</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b4;</mml:mi>
                                <mml:mn>75</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">TCL</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03d1;</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>(5)</label>
</disp-formula>

                    <disp-formula id="e6">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mtext mathvariant="italic">Myield</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>90</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>90</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MAXT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>90</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MINT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>90</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">PRT</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>90</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">TCL</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03bc;</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>(6)</label>
</disp-formula>

                    <disp-formula id="e7">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mtext mathvariant="italic">Myield</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>95</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>95</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MAXT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>95</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mtext mathvariant="italic">MINT</mml:mtext>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>95</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">PRT</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c0;</mml:mi>
                                <mml:mn>95</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi mathvariant="italic">TCL</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c6;</mml:mi>
                                <mml:mi>t</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>(7)</label>
</disp-formula>
                </p>
                <p>The quantiles ranged from the 10
                    <sup>th</sup> to 90
                    <sup>th</sup> quantiles. The error term in each equation where
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mspace width="0.25em"/>
                            <mml:mi>E</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03f5;</mml:mi>
                                    <mml:mi>t</mml:mi>
                                </mml:msub>
                                <mml:mo>|</mml:mo>
                                <mml:msub>
                                    <mml:mi>X</mml:mi>
                                    <mml:mi>t</mml:mi>
                                </mml:msub>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                            <mml:mo>=</mml:mo>
                            <mml:mn>0</mml:mn>
                        </mml:math>
</inline-formula>, it means the conditional mean of the dependent variable concerning the regressor (X). The process of the model is explained in the Results and Discussion sections.</p>
            </sec>
        </sec>
        <sec id="sec9" sec-type="results">
            <title>4. Results</title>
            <sec id="sec10">
                <title>4.1 Results and discussion</title>
                <p>The results from the quantile regression model showed that the coefficients for the maximum temperatures were significant and positive across all quantiles, except for the 90
                    <sup>th</sup> percentile. This variable was significant at less than 1% probability at the 10
                    <sup>th</sup>, 25
                    <sup>th</sup>, and 50
                    <sup>th</sup> percentiles. In contrast, the coefficient for maximum temperature was significant at less than 5% at the highest quantile (95
                    <sup>th</sup>).</p>
                <p>
                    <xref ref-type="table" rid="T2">
Table 2</xref> reveals that the maximum temperature has a stronger positive effect on maize yield at the lowest quantile (10
                    <sup>th</sup>) because the magnitude of the coefficient was greater than that of the other quantiles (25
                    <sup>th</sup>, 50
                    <sup>th</sup>, and 95
                    <sup>th</sup>). If other factors are held constant, the findings suggest that an increase of 1&#x00a0;&#x00b0;C in maximum temperature leads to an increase of 0.498, 0.397, 0.336, and 0.080&#x00a0;units in maize yield. In other words, when the maximum temperature increased by 1&#x00a0;&#x00b0;C, the maize yield increased by 49.8% and 39.7%, respectively, for farmers with lower maize production. The data show that at the median (50
                    <sup>th</sup> percentile), an increase of 1-degree Celsius causes the maize yield to increase by 33.6% for farmers who have average maize production, whereas at the upper-end quantile (95
                    <sup>th</sup> percentile), maize yield increases by only 8%.</p>
                <table-wrap id="T2" orientation="portrait" position="float">
                    <label>
Table 2. </label>
                    <caption>
                        <title>The impact of climate change on maize yield.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top"/>
                                <th align="left" colspan="1" rowspan="1" valign="top">10th</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">25th</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">50th</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">75
                                    <sup>th</sup>
                                </th>
                                <th align="left" colspan="1" rowspan="1" valign="top">90th</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">95
                                    <sup>th</sup>
                                </th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Variables</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Coef.</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Coef.</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Coef.</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Coef.</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Coef.</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Coef.</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">MAXT</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.498*** (0.001)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.397*** (0.000)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.336*** (0.000)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.104 (0.219)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.051 (0.201)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.080** (0.023)</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">MINT</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.078 (0.323)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.076* (0.089)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.044 (0.223)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.027 (0.544)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.042** (0.049)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.046** (0.016)</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">PREC</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.172 (0.328)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.202** (0.044)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.338*** (0.000)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.311*** (0.002)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.112** (0.019)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.083** (0.050)</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">TEMCL</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.152 (0.562)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.124 (0.404)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.019 (0.873)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.386** (0.011)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.483*** (0.000)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.489*** (0.000)</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">_cons</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;15.781 (0.020</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;9.299 (0.016)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;7.020 (0.023)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">2.342 (0.544)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">5.099 (0.005)</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">3.862 (0.017</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <fn-group content-type="footnotes">
                            <fn id="tfn1">
                                <p>***, **, *: significant at 1%, 5% and 10%, respectively</p>
                            </fn>
                        </fn-group>
                    </table-wrap-foot>
                </table-wrap>
                <p>A possible explanation for the positive correlation between maximum temperature and maize yield is that warmer conditions can enhance photosynthesis and accelerate crop growth, especially in areas where temperatures were previously too low for optimal maize development. Higher daytime temperatures may also extend the growing season, enabling maize plants to mature more quickly and resulting in an increase in maize yield. Furthermore, increased temperatures can boost soil microbial activity and improve the nutrient availability in maize. However, this beneficial effect could be limited to an optimal temperature range because excessive heat stress can ultimately reduce maize production (
                    <xref ref-type="bibr" rid="ref59">Zhang et al., 2022a</xref>).</p>
                <p>The coefficient for the minimum temperatures was significant at less than 10% in the lower quantile (25th), while it was significant at less than 5% in the highest quantiles (90th and 95th). The findings of this study show that minimum temperatures have a negative effect on maize yield at the 25th percentile, whereas a positive linkage was observed at the 90
                    <sup>th</sup> and 95
                    <sup>th</sup> percentiles. If other factors are held constant, the findings show that when the minimum temperature is reduced by 1&#x00a0;&#x00b0;C, maize yield is reduced by 0.076&#x00a0;units. These results reveal that when the temperature decreases below the minimum level, maize yield declines by 7.6% for provinces with lower production.</p>
                <p>One of the reasons for this is that a reduction of 1&#x00a0;&#x00b0;C in minimum temperature could have an adverse impact on maize yield due to heightened risks of cold stress, frost damage, and delayed crop growth. Cooler nighttime temperatures may slow down physiological processes, diminish photosynthetic efficiency, and limit biomass accumulation. Under colder conditions, maize development might be stunted, ultimately reducing the yield. Furthermore, lower minimum temperatures can prolong the maturation period, making the crop more susceptible to unfavorable weather conditions later in the season (
                    <xref ref-type="bibr" rid="ref9">Bhattacharya, 2022</xref>).</p>
                <p>On the other hand, a positive correlation was noted between maize yield and minimum temperatures at the highest quantiles (90
                    <sup>th</sup> and 95
                    <sup>th</sup>). The results suggest that when the minimum temperature increases by 1&#x00a0;&#x00b0;C, the maize yield increases by 0.042 and 0.046&#x00a0;units at the 90
                    <sup>th</sup> and 95
                    <sup>th</sup> percentiles, respectively. These findings also indicate that when the minimum temperature rises by 1&#x00a0;&#x00b0;C, maize yield increases by 4.2% and 4.6%, respectively. A possible explanation for this is that maize is classified as a warm-season crop, and low night temperatures can hinder metabolic activities and impede growth (
                    <xref ref-type="bibr" rid="ref41">Riaz et al., 2024</xref>). A modest rise in minimum temperature can help avert freezing damage, particularly in cooler areas, resulting in enhanced growth and improved grain development (
                    <xref ref-type="bibr" rid="ref48">Waqas et al. 2021</xref>).</p>
                <p>The coefficients for precipitation were significant across all quantiles except for the lowest percentile (10th percentile). This variable was significant at less than 5% in the 25th, 90th, and 95th percentiles, whereas it was significant at less than 1% in both the 50th and 75th percentiles. The results revealed a stronger positive effect between maize yield and precipitation at the 50th percentile, as the magnitude of the coefficient was higher compared to other quantiles (90
                    <sup>th</sup> and 95
                    <sup>th</sup>). A stronger effect was observed at the 75th percentile, which was almost the same as the median (50th percentile). The data show that when the precipitation increases by 1&#x00a0;mm per day, there is an increase of 0.338, 0.311, 0.112, and 0.083&#x00a0;units in maize yield at the 50
                    <sup>th</sup>, 75
                    <sup>th</sup>, 90
                    <sup>th</sup>, and 95
                    <sup>th</sup> percentiles, respectively. This means that when the precipitation increased by 1&#x00a0;mm per day, the maize yield increased by 33.8% (50
                    <sup>th</sup>), 31.1% (75
                    <sup>th</sup>), 11.2% (90
                    <sup>th</sup>) and 8.3% (95
                    <sup>th</sup>), respectively. One of the reasons for this is that maize requires sufficient water for cell growth, nutrient absorption, and photosynthesis. Enhanced rainfall guarantees that the soil maintains adequate moisture levels, thereby alleviating drought stress and averting wilting during the essential phases of growth (
                    <xref ref-type="bibr" rid="ref9">Bhattacharya, 2022</xref>).</p>
                <p>The coefficients for temperature change on land were statistically significant at the highest quantiles (75th, 90th, and 95th percentiles). This variable was significant at less than 5% in the 75th percentile, whereas it was significant at less than 1% in both the 90th and 95th percentiles. The data shows a stronger positive effect between maize yield and temperature change on land at the highest quantile (95th percentile), as the magnitude of the coefficient was higher compared to other quantiles (75
                    <sup>th</sup> and 90
                    <sup>th</sup> percentile). If other factors remain the same, the findings show that when the temperature changes on land increases by 1&#x00a0;&#x00b0;C, it leads to a 0.386, 0.483, and 0.489 unit increase in maize yield at the highest quantiles (75
                    <sup>th</sup>, 90
                    <sup>th</sup>, and 95
                    <sup>th</sup>). These results imply that when the temperature change on land increases by 1&#x00a0;&#x00b0;C, there is a 38.6%, 48.3%, and 48.9% increase in maize yield at the 75
                    <sup>th</sup>, 90
                    <sup>th</sup>, and 95
                    <sup>th</sup> percentiles, respectively. In cooler regions, increased temperatures on land can enhance the growth of maize, enabling plants to reach maturity more quickly and yield a greater amount of grain (
                    <xref ref-type="bibr" rid="ref47">Tiwari and Yadav 2019</xref>). When prior temperatures are suboptimal, warming can prolong the growing season, resulting in improved yields (
                    <xref ref-type="bibr" rid="ref51">Yang 2019</xref>).</p>
                <p>
                    <xref ref-type="table" rid="T3">
Table 3</xref> presents the diagnostic test of the model. R
                    <sup>2</sup> increases with quantiles until the median quantile starts to decrease. The LR statistics are high and statistically significant at the 1% level. The slope equity test indicates a similar connection between the dependent and explanatory variables in all quantiles. The test values were considered statistically significant at the 1% level. The explanatory variables show mixed results, according to the quantile symmetric test. In the lowest and two highest quantiles, there is evidence for a symmetric quantile test across individual coefficients since the p-values for chi-squared are statistically significant at 1% levels. There is evidence of quantile symmetry in the 25
                    <sup>th</sup>, 50
                    <sup>th</sup> and 75
                    <sup>th</sup> quantiles.</p>
                <table-wrap id="T3" orientation="portrait" position="float">
                    <label>
Table 3. </label>
                    <caption>
                        <title>Diagnostics tests.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top"/>
                                <th align="left" colspan="1" rowspan="1" valign="top">10
                                    <sup>th</sup>
                                </th>
                                <th align="left" colspan="1" rowspan="1" valign="top">25
                                    <sup>th</sup>
                                </th>
                                <th align="left" colspan="1" rowspan="1" valign="top">50
                                    <sup>th</sup>
                                </th>
                                <th align="left" colspan="1" rowspan="1" valign="top">75
                                    <sup>th</sup>
                                </th>
                                <th align="left" colspan="1" rowspan="1" valign="top">90
                                    <sup>th</sup>
                                </th>
                                <th align="left" colspan="1" rowspan="1" valign="top">95
                                    <sup>th</sup>
                                </th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Pseudo R
                                    <sup>2</sup>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">19.43</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">21.24</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">22.3</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">19.73</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">18.5</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">20.14</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Adjusted R
                                    <sup>2</sup>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">17.40</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">19.26</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">20.33</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">17.70</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">16.49</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">18.13</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">LR statistics</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">36.12***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">60.65***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">66.96***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">48.57***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">30.64***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">27.93</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Equity test</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">52.31***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">36.87***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">36.87***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">36.87***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">65.54***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">66.33***</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Symmetric test</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">24.03***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">9.23</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">9.23</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">9.83</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">24.03***</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">30.58***</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <fn-group content-type="footnotes">
                            <fn id="tfn2">
                                <p>***, **, *: significant at 1%, 5% and 10%, respectively</p>
                            </fn>
                        </fn-group>
                    </table-wrap-foot>
                </table-wrap>
                <p>The last part of the diagnostic test is the quantile process (
                    <xref ref-type="fig" rid="f1">
Figure 1</xref>) of each variable per quantile, denoted by the bold line in the shaded region of the diagrams. This test compares the quantile process median estimation to the OLS process in the mean process. In 
                    <xref ref-type="fig" rid="f1">figure 1</xref>, starting from the 25th quantile to the 75th quantile, the quantile processes have 5% boundaries of the OLS process. However, the other quantiles fall out of the mean estimation. This indicates the power of quantile regression to estimate different levels of maize production, given different levels of explanatory variables.</p>
                <fig fig-type="figure" id="f1" orientation="portrait" position="float">
                    <label>
Figure 1. </label>
                    <caption>
                        <title>Quantile process.</title>
                        <p>Source: Stata software.</p>
                    </caption>
                    <graphic id="gr1" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/196478/e5d9d613-6c67-463c-9b85-268011e440fa_figure1.gif"/>
                </fig>
            </sec>
        </sec>
        <sec id="sec11">
            <title>5. Conclusions and recommendations</title>
            <p>The objective of this study was to examine the impact of climate change on maize yield in South Africa using a quantile regression model. It was noted that when the maximum temperature is increasing, it is more beneficial to provinces that have lower maize production (10
                <sup>th</sup> and 25
                <sup>th</sup>) and those that produce at an average (50
                <sup>th</sup>). The researchers in the current study observed that maximum temperatures had a lower effect at the upper-end quantile (95
                <sup>th</sup>). It was noted that when the minimum temperature decreased below the minimum level, it had a detrimental effect on lower maize producers. This means that decreasing temperatures worsen maize production in the provinces with lower maize production (25
                <sup>th</sup>). It was also observed that the minimum temperature rise resulted in an increase in maize production for the provinces with higher maize production (90
                <sup>th</sup> and 95
                <sup>th</sup> percentile).</p>
            <p>Farmers need to utilize maize varieties that are resistant to cold temperatures. We focused on the development and promotion of maize hybrids that mature early, thereby avoiding crucial growth phases during colder periods. Capitalize beneficial high temperatures by initiating planting early to prolong the growing season. Stagger planting dates mitigate risks and maximize yield potential across diverse temperature scenarios. Synchronize planting with anticipated rainfall patterns to guarantee sufficient moisture during the essential growth phases. Optimize plant spacing to minimize excessive humidity, which can increase the risk of disease. Select maize hybrids that perform well under warm conditions while also demonstrating resilience to potential heat stress. Choose varieties with robust root systems to improve nutrient and water absorption under warm soil conditions.</p>
            <sec id="sec12">
                <title>Limitations of the study and future research</title>
                <p>One of the limitations of this study is that the authors did not estimate the threshold at which maximum temperatures are detrimental to maize yield in South Africa. Second, the study did not consider the effects of climate change on maize yield in the short and long run. Future research should focus on estimating the threshold for maximum temperatures to determine the extent to which it reduces maize production in South Africa.</p>
            </sec>
        </sec>
        <sec id="sec13">
            <title>Ethics and consent</title>
            <p>Ethics and consent are not required for this study.</p>
        </sec>
    </body>
    <back>
        <sec id="sec16" sec-type="data-availability">
            <title>Data availability</title>
            <p>The study did not use any raw data; we only used the secondary data that was accessed using the links provided below. The data for maximum and minimum temperatures were downloaded from the NASA POWER Data Access Viewer. This data can be extracted using the following link: 
                <ext-link ext-link-type="uri" xlink:href="https://power.larc.nasa.gov/data-access-viewer/">NASA POWER | Data Access Viewer (DAV</ext-link>). The annual data for maize yield and temperature change on land (that was later transformed into quarterly data) were downloaded from the Food and Agriculture Organization. The data was downloaded using the following link: 
                <ext-link ext-link-type="uri" xlink:href="https://www.fao.org/statistics/en/">Statistics | FAO | Food and Agriculture Organization of the United Nations</ext-link>.</p>
        </sec>
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    <sub-article article-type="reviewer-report" id="report475322">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.196478.r475322</article-id>
            <title-group>
                <article-title>Reviewer response for version 1</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>O. Omokpariola</surname>
                        <given-names>Daniel</given-names>
                    </name>
                    <xref ref-type="aff" rid="r475322a1">1</xref>
                    <role>Referee</role>
                    <uri content-type="orcid">https://orcid.org/0000-0003-1360-4340</uri>
                </contrib>
                <aff id="r475322a1">
                    <label>1</label>Nnamdi Azikiwe University, Awka, Anambra, Nigeria</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>23</day>
                <month>4</month>
                <year>2026</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2026 O. Omokpariola D</copyright-statement>
                <copyright-year>2026</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport475322" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.178130.1"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve-with-reservations</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>This study investigates the impact of changing weather patterns on maize yield in South Africa using quantile regression applied to national time&#x2011;series data from 1981 to 2022. By incorporating maximum temperature, minimum temperature, precipitation, and temperature change on land, the authors examine heterogeneous climate impacts across low&#x2011;, medium&#x2011;, and high&#x2011;production maize contexts.</p>
            <p> </p>
            <p> Although the study is fundamentally sound, the following minor issues should be addressed to strengthen the manuscript further:</p>
            <p> </p>
            <p> 1. Clarify policy implications: Some recommendations (e.g., planting schedules, hybrid selection) would benefit from being more explicitly tied to specific empirical results (e.g., which quantiles or climate variables motivate each recommendation).</p>
            <p> </p>
            <p> 2. Temperature threshold discussion: The authors correctly acknowledge as a limitation that temperature thresholds were not estimated. This limitation could be reiterated more prominently in the conclusion to avoid policy overextension.</p>
            <p> </p>
            <p> 3. Short&#x2011; vs long&#x2011;run dynamics: While not required for this study, explicitly stating that the results capture associational, not dynamic causal effects would strengthen interpretive clarity, especially for policy readers.</p>
            <p> </p>
            <p> None of these issues undermines the technical validity of the study, and they can be addressed through minor revisions.</p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Yes</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Yes</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Yes</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Yes</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Partly</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Yes</p>
            <p>Reviewer Expertise:</p>
            <p>Food Science, Climate Adaptation, Chemistry</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard, however I have significant reservations, as outlined above.</p>
        </body>
    </sub-article>
</article>
