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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.2023.1269977</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Agronomy</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Prediction of seasonal population dynamics of <italic>Grapholita molesta</italic> (Busck) and <italic>Adoxophyes orana</italic> (Fischer von R&#xf6;slerstamm) in peach orchards using sex pheromone trap and degree-days and its implications in pest management</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Aihong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>He</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
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<contrib contrib-type="author">
<name>
<surname>Ran</surname>
<given-names>Hongfan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Xiaofan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2248444"/>
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<contrib contrib-type="author">
<name>
<surname>Hao</surname>
<given-names>Jianbo</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Jianfeng</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Huijie</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Yu</surname>
<given-names>Zihang</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xiaoxi</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>He</surname>
<given-names>Xiong Zhao</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Jiancheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Plant Protection Institute, Hebei Academy of Agriculture and Forestry Sciences</institution>, <addr-line>Baoding, Hebei</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Horticulture, Hebei Agricultural University</institution>, <addr-line>Baoding, Hebei</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Hebei Agricultural Characteristic Industry Technical Guidance Station</institution>, <addr-line>Shijiazhuang, Hebei</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Shunping Meteorological Bureau</institution>, <addr-line>Baoding, Hebei</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>School of Agriculture and Environment, Massey University</institution>, <addr-line>Palmerston North</addr-line>, <country>New Zealand</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Murray B. Isman, University of British Columbia, Canada</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: David Robert Hall, University of Greenwich, United Kingdom; Odair Aparecido Fernandes, S&#xe3;o Paulo State University, Brazil</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: He Zhang, <email xlink:href="mailto:zhangheau@163.com">zhangheau@163.com </email>; Xiong Zhao He, <email xlink:href="mailto:x.z.he@massey.ac.nz">x.z.he@massey.ac.nz</email>; Jiancheng Li, <email xlink:href="mailto:lijiancheng08@163.com">lijiancheng08@163.com</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>10</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>5</volume>
<elocation-id>1269977</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>09</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Ma, Zhang, Ran, Yang, Hao, Zhang, Li, Yu, Wang, He and Li</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Ma, Zhang, Ran, Yang, Hao, Zhang, Li, Yu, Wang, He and Li</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>The successful management of lepidopteran moths in orchards usually depends on the precise forecast of adult activity. However, the seasonal phenology of moths varies between crop cultivars and years, making it difficult to schedule the control measures. Here, we monitored male flight activity of oriental fruit moth <italic>Grapholita molesta</italic> and summer fruit tortrix moth <italic>Adoxophyes orana</italic> by using sex pheromone traps in peach orchards of three different cultivars for three successive years. We developed a logistic multiple-peaks model to fit data and then calculated degree-days (DD) required for male activity and neonate emergency. Results show that <italic>G. molesta</italic> and <italic>A. orana</italic> males had 4&#x2013;5 and 3 flight peaks per year, respectively. The seasonal phenology of <italic>G. molesta</italic> or <italic>A. orana</italic> was quite stable with an identical timing of each flight peak between cultivars in a year. The flight activity was usually higher in the second and third peaks for both moths, with a higher cumulative number of <italic>G. molesta</italic> males captured than that of <italic>A. orana</italic>. Compared to <italic>A. orana</italic>, <italic>G. molesta</italic> emerged early in spring and required lower degree-days to reach the subsequent flight peaks and for neonate emergency. Our results suggest that to decline the possibility of outbreaks of moths during the growing seasons, pheromone traps should be scheduled in April with a cumulative DD between 49.6 and 207.1 for <italic>G. molesta</italic> and in mid-May&#x2013;early June with a cumulative DD between 450.4 and 866.7 for <italic>A. orana</italic>, aiming to trap the newly emerged male adults or disrupting female mating success of overwintered moths in orchards. Based on the thermal requirement for egg hatching (i.e., 79.4 DD for <italic>G. molesta</italic> and 90.0 DD for <italic>A. orana</italic>), insecticide treatments would be applied in late-April&#x2013;early May and late May&#x2013;early June to reduce the field population density of neonates of <italic>G. molesta</italic> and <italic>A. orana</italic>, respectively, to reduce fruit damage in orchards. Furthermore, pheromone traps set up in late July&#x2013;early August (573.8&#x2013;1025.2 DD) for <italic>G. molesta</italic> and in mid-September (1539.7&#x2013;1788.9 DD) for <italic>A. orana</italic> may suppress overwintering populations and thus decrease pest infestation in next year.</p>
</abstract>
<kwd-group>
<kwd>lepidopteran pest</kwd>
<kwd>population dynamics</kwd>
<kwd>sex pheromone trap</kwd>
<kwd>flight activity modeling</kwd>
<kwd>degree-days</kwd>
<kwd>pest management</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="65"/>
<page-count count="12"/>
<word-count count="6181"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Pest Management</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>The oriental fruit moth <italic>Grapholita molesta</italic> (Busck) and summer fruit tortrix moth <italic>Adoxophyes orana</italic> (Fischer von R&#xf6;slerstamm) (Lepidoptera: Tortricidae) are two of the most important lepidopteran pests that continually cause significant damage to commercial pome and stone fruits, including peach, apple, pear, nectarines, cherries, quince, and persimmons (<xref ref-type="bibr" rid="B54">Rothschild and Vickers, 1991</xref>; <xref ref-type="bibr" rid="B62">van der Geest and Evenhuis, 1991</xref>; <xref ref-type="bibr" rid="B31">Kocourek and Stara, 2005</xref>; <xref ref-type="bibr" rid="B37">Myers et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B49">Pi&#xf1;ero and Dorn, 2009</xref>; <xref ref-type="bibr" rid="B30">Kirk et&#xa0;al., 2013</xref>). <italic>Grapholita molesta</italic> is assumed to be native to Asia (<xref ref-type="bibr" rid="B54">Rothschild and Vickers, 1991</xref>; <xref ref-type="bibr" rid="B30">Kirk et&#xa0;al., 2013</xref>) and <italic>A. orana</italic> is originally reported from Europe (<xref ref-type="bibr" rid="B4">Byun et&#xa0;al., 2012</xref>); they are now distributed throughout temperate regions of Asia, Europe, Americas, Africa, and Australia (<xref ref-type="bibr" rid="B54">Rothschild and Vickers, 1991</xref>; <xref ref-type="bibr" rid="B34">Li et&#xa0;al., 2021</xref>).</p>
<p>
<italic>Grapholita molesta</italic> overwinters as mature fifth instar larvae inside the cocoons (<xref ref-type="bibr" rid="B54">Rothschild and Vickers, 1991</xref>; <xref ref-type="bibr" rid="B42">Notter-Hausmann and Dorn, 2010</xref>). The overwintered larvae pupate in the spring, and adults emerge and oviposit on host plants or near the overwintering habitats (<xref ref-type="bibr" rid="B56">Sarai, 1970</xref>; <xref ref-type="bibr" rid="B16">Ellis and Hull, 2013</xref>). Upon hatching, <italic>G. molesta</italic> neonates excavate tunnels and feed inside the tender twigs in spring (<xref ref-type="bibr" rid="B41">Neven et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2022</xref>), and the developing larvae are internal feeders in fruits in the mid- and late-growing seasons (<xref ref-type="bibr" rid="B54">Rothschild and Vickers, 1991</xref>; <xref ref-type="bibr" rid="B41">Neven et&#xa0;al., 2018</xref>). <italic>Adoxophyes orana</italic> also has five larval instars but enter overwinter at the third instar (<xref ref-type="bibr" rid="B43">Oku, 1966</xref>), and the overwintered larvae develop again in spring and feed on host plant flower buds and clusters, and young shoots and fruits (<xref ref-type="bibr" rid="B43">Oku, 1966</xref>; <xref ref-type="bibr" rid="B12">Damos et&#xa0;al., 2022</xref>). Apart from attacking the fruit, <italic>A. orana</italic> is a leafroller as the young shoots and leaves fed by the larvae may stick together (<xref ref-type="bibr" rid="B46">Pehlevan and Kovanci, 2014</xref>; <xref ref-type="bibr" rid="B12">Damos et&#xa0;al., 2022</xref>). <italic>Grapholita molesta</italic> larval feeding may cause up to 50&#x2013;60% fruit losses in Texas State, USA (<xref ref-type="bibr" rid="B1">Anon, 2014</xref>) or even 90% in Santa Catarina state, Brazil (<xref ref-type="bibr" rid="B52">Reis Fo et&#xa0;al., 1988</xref>). Direct damage on fruits by <italic>A. orana</italic> larvae may result in yield losses varying from 10% to 80% in apple, peach, and pear (<xref ref-type="bibr" rid="B13">de Jong et&#xa0;al., 1971</xref>; <xref ref-type="bibr" rid="B64">Whittle, 1985</xref>; <xref ref-type="bibr" rid="B57">Stamenkovic and Pesic, 1998</xref>; <xref ref-type="bibr" rid="B5">CAB International, 2008</xref>). Moreover, fruits damaged by <italic>G. molesta</italic> and <italic>A. orana</italic> larvae may attract secondary pests, such as the nitidulid beetles <italic>Carpophilus</italic> spp., which act as vectors of brown rot (<italic>Monilinia</italic> spp.) fungal infection (<xref ref-type="bibr" rid="B20">Hossain et&#xa0;al., 2006</xref>). The damaged or infected fruits could not access the markets.</p>
<p>So far, the management of field populations of <italic>G. molesta</italic> and <italic>A. orana</italic> is mainly relied on the applications of insecticides and sex pheromone traps (mating disruption) (<xref ref-type="bibr" rid="B60">Trimble et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B45">Pastori et&#xa0;al., 2012</xref>) basing on a year-by-year calendar schedule programme and/or the phenological stage of the moths (<xref ref-type="bibr" rid="B9">Damos and Savopoulou-Soultani, 2010</xref>; <xref ref-type="bibr" rid="B8">Damos and Karabatakis, 2012</xref>; <xref ref-type="bibr" rid="B10">Damos and Savopoulou-Soultani, 2012a</xref>). Unfortunately, the efficacy of insecticides is usually lower than expected due to the feeding habits protecting larvae from insecticides (<xref ref-type="bibr" rid="B54">Rothschild and Vickers, 1991</xref>; <xref ref-type="bibr" rid="B46">Pehlevan and Kovanci, 2014</xref>; <xref ref-type="bibr" rid="B41">Neven et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B12">Damos et&#xa0;al., 2022</xref>), and the rapid development of insecticide resistance (<xref ref-type="bibr" rid="B50">Pree et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B14">de Lame et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B29">Kanga et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B40">Navarro-Rold&#xe1;n et&#xa0;al., 2017</xref>). Furthermore, mating disruption using sex pheromone may have a low control efficacy when the field populations are large (<xref ref-type="bibr" rid="B32">Kong et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B17">Ferracini et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2022</xref>), as males can easily locate their mates using visual cues as well as by chance encounters (<xref ref-type="bibr" rid="B58">Thorpe et&#xa0;al., 2006</xref>). For <italic>G. molesta</italic> and <italic>A. orana</italic>, the eggs/neonates and male adults of moths are the targets of pest control using insecticide and sex pheromone measures, respectively (<xref ref-type="bibr" rid="B48">Philips, 1973</xref>; <xref ref-type="bibr" rid="B63">Wang et&#xa0;al., 2017</xref>); therefore, the effective management of these species largely depends on precise prediction of timings of egg laying and hatching and flight peaks of male adults, especially in the overwintered generation.</p>
<p>Insects are poikilothermic, and temperature is the major factor regulating their development, growth and thus population dynamics. Degree-days (DD) are the most convenient way to predict a phenological event in insects (<xref ref-type="bibr" rid="B51">Prues, 1983</xref>; <xref ref-type="bibr" rid="B11">Damos and Savopoulou-Soultani, 2012b</xref>). Previous studies have acknowledged that degree-days models could be a useful tool in forecasting the phenology of many lepidopterous pests (e.g., <xref ref-type="bibr" rid="B21">Hrd&#xfd; et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B18">Godin and Boivin, 1998</xref>; <xref ref-type="bibr" rid="B15">Del T&#xed;o et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B36">Milonas et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B59">Tobin et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B47">Pehlevan and Kovanci, 2017</xref>; <xref ref-type="bibr" rid="B23">Ivezi&#x107; et&#xa0;al., 2023</xref>), including <italic>G. molesta</italic> and <italic>A. orana</italic> (<xref ref-type="bibr" rid="B9">Damos and Savopoulou-Soultani, 2010</xref>; <xref ref-type="bibr" rid="B25">Jones et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B12">Damos et&#xa0;al., 2022</xref>).</p>
<p>In this study, we monitored the seasonal flight dynamics of <italic>G. molesta</italic> and <italic>A. orana</italic> males using pheromone traps in peach orchards of different cultivars over three successive years. We then calculate the cumulative degree-days basing on the low temperature thresholds of the two pests to predict the thermal requirement for the first male captured in early spring, and male flight peaks and egg hatching during the growing seasons. Our results may deliver critical knowledge for the development of pest management strategies aiming to supress the populations of <italic>G. molesta</italic> and <italic>A. orana</italic> in field.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="s2_1">
<title>Study site and local climate conditions</title>
<p>The field experiment was conducted in peach growing region in Shunping County, Hebei Province, China (38.84&#xb0;N, 115.13&#xb0;E). The mean annual temperature during the growing seasons (March&#x2013;October) is 19.1&#xb0;C (19.2, 19.4 and 18.8&#xb0;C for 2018, 2019 and 2020, respectively), and the mean annual precipitation is 577.1&#xa0;mm (623.6, 558.2 and 458.9 for 2018, 2019 and 2020, respectively), occurring mainly in June and July (&gt; 74.4%) (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Pest control of the target pest moths by using pesticides or natural enemies was not performed in orchards during the experiment.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Mean temperature <bold>(A)</bold> and total precipitation <bold>(B)</bold> per month in three consecutive years in Shunping County where the experiments were carried out.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-05-1269977-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<title>Field trials</title>
<p>The population dynamics of <italic>G. molesta</italic> and <italic>A. orana</italic> were monitored in peach orchards of three cultivars (i.e., Jinghong, Jiubao and Luhua9) for three consecutive years (i.e., 2018, 2019 and 2020). For each cultivar, we selected three orchards (replicates, each &gt; 0.33 hectare). In each orchard, we set up two Delta traps (23.5&#xa0;cm length &#xd7; 20.5&#xa0;cm width &#xd7; 12.5&#xa0;cm heigh, one trap for <italic>G. molesta</italic> and one trap for <italic>A. orana</italic>) baited with one species-specific commercial pheromone lure (Pherobio Technology Co., Ltd., Beijing, China) hung 1.0&#x2013;1.5 cm above the white sticky board (20&#xa0;cm length &#xd7; 19&#xa0;cm width), in mid-March each year. The two traps were hung in two trees approximately 1.5&#xa0;m from the ground, 40&#xa0;m apart, and &gt; 20&#xa0;m from borders of the orchard.</p>
<p>The sticky boards were replaced and the number of male adults of <italic>G. molesta</italic> and <italic>A. orana</italic> captured was counted every 7 days. The pheromone lures were replaced monthly, and observation was terminated in late October.</p>
</sec>
<sec id="s2_3">
<title>Statistical analysis</title>
<p>We performed analyses using SAS v. 9.4 software (SAS Institute Inc., NC, USA). Data were normally distributed (Shapiro-Wilk test, UNIVARIATE Procedure). Basing on a non-linear Gaussian functional model of <xref ref-type="bibr" rid="B2">Archontoulis and Miguez (2015)</xref>, we developed a seasonal phenology model with multiple peaks to fit the seasonal activity of adult males of both species (NLIN Procedure) in orchards of each cultivar or overall cultivars in different years: no. moths <italic>=</italic> <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>}</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, where <italic>n</italic> is the number of peaks, <italic>t</italic> is the time (days) since the early male adult captured on 02 April 2020 during the experiment, <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the <italic>i</italic> peak at time <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the coefficients controlling the width of <italic>i</italic> peak, and 0.5 is defaulted for the Gaussian function. The difference in each estimated parameter was compared between different cultivars or years: there is no significant difference if the 95% confidence limits (CLs) overlap (<xref ref-type="bibr" rid="B28">Julious, 2004</xref>). The mean total number of male adults of a give species between the combination treatments of cultivars and years was analyzed using ANOVA (GLM Procedure) with LSD for multiple comparisons. For a given cultivar and year, the mean total number of male adults of <italic>G. molesta</italic> and <italic>A. orana</italic> was also compared using ANOVA.</p>
<p>Based on the low temperature threshold, i.e., <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> = 9.5 and 7.2&#xb0;C for <italic>G. molesta</italic> and <italic>A. orana</italic>, respectively (<xref ref-type="bibr" rid="B12">Damos et&#xa0;al., 2022</xref>), we calculated the cumulative degree-days (DD) for the first male adult moth captured by the pheromone traps in orchards and for the seasonal flight peaks of moths, using a degree-day model: <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mtext>DD</mml:mtext>
<mml:mo>=</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, where <italic>T<sub>i</sub>
</italic> is the mean daily air temperature at date <italic>i</italic>, and <italic>n</italic> is the number of days since <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&gt;</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> on 13 March, 05 March and 15 March in 2018, 2019 and 2020, respectively. We also estimated the hatching date of eggs (presence of larvae or start of larva feeding) for the first captured male adults and that at flight peaks basing on the degree-days for egg hatching, i.e., 79.4 DD for <italic>G. molesta</italic> (<xref ref-type="bibr" rid="B7">Croft et&#xa0;al., 1980</xref>) and 90.0 DD for <italic>A. orana</italic> (<xref ref-type="bibr" rid="B6">Charmillot and Megevand, 1983</xref>). The timings of first male captured and subsequent flight peaks of moths estimated from the overall model of three cultivars were used for degree-days calculation.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Seasonal phenology</title>
<p>The regression coefficient (i.e., R<sup>2</sup>) of the models ranged from 0.9114 to 0.9853 for <italic>G. molest</italic> and from 0.8957 to 0.9975 for <italic>A. orana</italic> (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>), indicating the good fitness of the models to fit the data of number of moths captured by the pheromone traps in peach orchards of different cultivars in different years. As shown in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>, <italic>G. molesta</italic> generally had four male flight peaks per year in&#xa0;peach orchards of three different cultivars during the three successive years, with a small additional peak detected for Jinghong in 2019 and for all cultivars in 2020. In 2018, the peak was significantly higher in the 2<sup>nd</sup> and 3<sup>rd</sup> active peaks than in the 1<sup>st</sup> and 4<sup>th</sup> ones for each cultivar or overall cultivars (non-overlapped 95% CLs) (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>); however, in 2019 the active peak was significantly higher in the 4<sup>th</sup> and 5<sup>th</sup> peaks for the Jinghong, in the 4<sup>th</sup> peak for Jiubao and in the 3<sup>rd</sup> peak for Luhua9 (non-overlapped 95% CLs) (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>), and in 2020 it was significantly higher in the 2<sup>nd</sup> and 3<sup>rd</sup> peaks for Jinghong and Luhua9 and in 3<sup>rd</sup> peak for Jiubao (non-overlapped 95% CLs) (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2C</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The timing of flight peak of <italic>G. molesta</italic> male adults was significantly different between peaks for a given cultivar in each year (non-overlapped 95% CLs); however, for a given flight peak, the timing was not significantly different between cultivars in each year (overlapped 95% CLs) (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Seasonal activity of <italic>Grapholita molesta</italic> male adults in peach orchards of different cultivars in three consecutive years (see <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> for details): <bold>(A)</bold>&#xa0;2018, <bold>(B)</bold> 2019, and <bold>(C)</bold> 2020. R<sup>2&#xa0;=&#xa0;</sup>0.9114&#x2013;0.9853 for models of different cultivars in different years, and R<sup>2&#xa0;=&#xa0;</sup>0.8509&#x2013;0.9288 for models of overall cultivars in different years; P&lt; 0.0001. The solid circles are the number of male adults captured by the pheromone traps, and the smooth lines are the number of captured male adults predicted by the multiple-peaks models.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-05-1269977-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Seasonal activity of <italic>Adoxophyes orana</italic> male adults in peach orchards of different cultivars in three consecutive years (see <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> for details): <bold>(A)</bold> 2018, <bold>(B)</bold>&#xa0;2019, and <bold>(C)</bold> 2020. R<sup>2&#xa0;=&#xa0;</sup>0.8957&#x2013;0.9975 for models of different cultivars and different years, and R<sup>2&#xa0;=&#xa0;</sup>0.8014&#x2013;0.8086 for models of overall cultivars in different years; P&lt; 0.0001. The solid circles are the number of male adults captured by the pheromone traps, and the smooth lines are the number of captured male adults predicted by the multiple-peaks models.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-05-1269977-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Estimated number of moths captured (<italic>p<sub>i</sub>
</italic>) and timing (<italic>t<sub>i</sub>
</italic>, days since 02 April) of flight peak of <italic>Grapholita molesta</italic> males in peach orchards of different cultivars in three consecutive years: <italic>y</italic> = <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mo>-</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mo>(</mml:mo><mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow><mml:mo>)</mml:mo></mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>}</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>}</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the coefficients controlling the width of <italic>i</italic> peak.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Parameter</th>
<th valign="top" align="center">Year</th>
<th valign="top" align="center">Peak</th>
<th valign="top" align="center">Jinghong</th>
<th valign="top" align="center">Jiubao</th>
<th valign="top" align="center">Luhua9</th>
<th valign="top" align="center">Overall</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<italic>p<sub>i</sub>
</italic>
</td>
<td valign="top" align="left">2018</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">230.7 (96.2&#x2013;365.3)</td>
<td valign="top" align="left">113.3 (20.4&#x2013;206.2)</td>
<td valign="top" align="left">271.7 (152.3&#x2013;391.2)</td>
<td valign="top" align="left">205.1 (124.0&#x2013;286.2)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">579.3 (457.0&#x2013;701.6)</td>
<td valign="top" align="left">516.2 (423.0&#x2013;609.5)</td>
<td valign="top" align="left">527.5 (421.6&#x2013;633.4)</td>
<td valign="top" align="left">519.1 (422.3&#x2013;615.9)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">574.5 (469.6&#x2013;679.5)</td>
<td valign="top" align="left">533.1 (430.7&#x2013;635.5)</td>
<td valign="top" align="left">468.9 (407.8&#x2013;530.0)</td>
<td valign="top" align="left">442.9 (289.6&#x2013;596.2)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">314.4 (213.1&#x2013;145.7)</td>
<td valign="top" align="left">167.7 (112.0&#x2013;223.5)</td>
<td valign="top" align="left">189.0 (70.0&#x2013;308.0)</td>
<td valign="top" align="left">185.6 (144.0&#x2013;227.2)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">250.0 (92.3&#x2013;407.7)</td>
<td valign="top" align="left">133.1 (34.9&#x2013;231.3)</td>
<td valign="top" align="left">156.2 (48.7&#x2013;263.8)</td>
<td valign="top" align="left">179.7 (58.5&#x2013;300.8)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">147.2 (34.9&#x2013;259.4)</td>
<td valign="top" align="left">39.5 (-32.4&#x2013;111.3)</td>
<td valign="top" align="left">100.3 (23.7&#x2013;176.9)</td>
<td valign="top" align="left">87.5 (25.4&#x2013;149.6)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">554.0 (415.4&#x2013;692.6)</td>
<td valign="top" align="left">88.0 (2.3&#x2013;173.8)</td>
<td valign="top" align="left">426.8 (271.6&#x2013;582.0)</td>
<td valign="top" align="left">340.8 (159.7&#x2013;521.9)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">531.1 (420.3&#x2013;641.8)</td>
<td valign="top" align="left">260.0 (223.3&#x2013;296.8)</td>
<td valign="top" align="left">164.6 (123.0&#x2013;206.2)</td>
<td valign="top" align="left">271.2 (213.1&#x2013;329.4)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">5th</td>
<td valign="top" align="left">315.3 (73.3&#x2013;557.2)</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">2020</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">571.8 (469.4&#x2013;674.2)</td>
<td valign="top" align="left">163.5 (27.5&#x2013;299.5)</td>
<td valign="top" align="left">543.6 (450.0&#x2013;637.2)</td>
<td valign="top" align="left">426.0 (295.7&#x2013;556.3)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">968.2 (864.4&#x2013;1072.0)</td>
<td valign="top" align="left">216.1 (89.4&#x2013;342.7)</td>
<td valign="top" align="left">652.8 (519.9&#x2013;785.6)</td>
<td valign="top" align="left">605.1 (575.4&#x2013;634.9)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">858.3 (681.2&#x2013;1035.5)</td>
<td valign="top" align="left">667.5 (593.0&#x2013;742.0)</td>
<td valign="top" align="left">749.5 (554.0&#x2013;945.0)</td>
<td valign="top" align="left">759.8 (582.4&#x2013;937.1)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">442.2 (237.8&#x2013;646.5)</td>
<td valign="top" align="left">463.7 (380.6&#x2013;546.9)</td>
<td valign="top" align="left">383.2 (337.8&#x2013;428.6)</td>
<td valign="top" align="left">409.0 (270.5&#x2013;547.4)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">5th</td>
<td valign="top" align="left">297.6 (222.6&#x2013;372.5)</td>
<td valign="top" align="left">86.0 (24.1&#x2013;147.9)</td>
<td valign="top" align="left">187.1 (133.0&#x2013;241.3)</td>
<td valign="top" align="left">189.3 (98.4&#x2013;280.1)</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>t<sub>i</sub>
</italic>
</td>
<td valign="top" align="left">2018</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">30.8 (26.6&#x2013;34.9)</td>
<td valign="top" align="left">30.9 (25.4&#x2013;36.5)</td>
<td valign="top" align="left">30.5 (27.4&#x2013;33.7)</td>
<td valign="top" align="left">30.7 (27.9&#x2013;33.5)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">58.7 (56.9&#x2013;60.6)</td>
<td valign="top" align="left">59.1 (57.9&#x2013;60.2)</td>
<td valign="top" align="left">60.5 (57.9&#x2013;63.0)</td>
<td valign="top" align="left">59.3 (58.1&#x2013;60.5)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">88.1 (85.1&#x2013;91.1)</td>
<td valign="top" align="left">85.2 (84.2&#x2013;86.3)</td>
<td valign="top" align="left">88.8 (85.9&#x2013;91.7)</td>
<td valign="top" align="left">85.9 (84.7&#x2013;87.1)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">117.9 (112.1&#x2013;123.3)</td>
<td valign="top" align="left">118.5 (111.5&#x2013;125.6)</td>
<td valign="top" align="left">120.4 (115.8&#x2013;125.0)</td>
<td valign="top" align="left">111.4 (96.1&#x2013;126.8)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">19.9 (13.0&#x2013;26.9)</td>
<td valign="top" align="left">19.7 (15.0&#x2013;24.5)</td>
<td valign="top" align="left">20.4 (12.9&#x2013;27.9)</td>
<td valign="top" align="left">20.0 (12.3&#x2013;27.7)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">58.8 (53.6&#x2013;64.0)</td>
<td valign="top" align="left">64.0 (54.4&#x2013;73.7)</td>
<td valign="top" align="left">62.5 (57.0&#x2013;67.9)</td>
<td valign="top" align="left">61.2 (53.2&#x2013;69.2)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">87.6 (86.3&#x2013;88.9)</td>
<td valign="top" align="left">89.8 (85.1&#x2013;94.5)</td>
<td valign="top" align="left">90.2 (88.1&#x2013;92.2)</td>
<td valign="top" align="left">88.6 (86.9&#x2013;90.4)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">118.2 (116.3&#x2013;120.1)</td>
<td valign="top" align="left">127.4 (125.4&#x2013;129.5)</td>
<td valign="top" align="left">125.2 (117.7&#x2013;132.8)</td>
<td valign="top" align="left">123.7 (119.5&#x2013;127.9)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">5th</td>
<td valign="top" align="left">139.4 (135.5&#x2013;143.2)</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">2020</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">11.0 (10.1&#x2013;12.1)</td>
<td valign="top" align="left">11.2 (8.5&#x2013;14.0)</td>
<td valign="top" align="left">10.9 (10.0&#x2013;11.9)</td>
<td valign="top" align="left">11.0 (9.9&#x2013;12.1)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">61.3 (60.1&#x2013;62.4)</td>
<td valign="top" align="left">59.6 (54.9&#x2013;64.3)</td>
<td valign="top" align="left">61.8 (54.9&#x2013;68.6)</td>
<td valign="top" align="left">61.2 (59.5&#x2013;62.9)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">90.6 (88.3&#x2013;92.9)</td>
<td valign="top" align="left">90.3 (88.3&#x2013;92.5)</td>
<td valign="top" align="left">89.6 (88.0&#x2013;91.2)</td>
<td valign="top" align="left">90.2 (88.5&#x2013;91.9)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">120.3 (114.9&#x2013;125.7)</td>
<td valign="top" align="left">123.1 (120.1&#x2013;126.0)</td>
<td valign="top" align="left">119.9 (116.4&#x2013;123.4)</td>
<td valign="top" align="left">121.0 (118.3&#x2013;123.7)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">5th</td>
<td valign="top" align="left">148.7 (130.7&#x2013;166.7)</td>
<td valign="top" align="left">152.6 (138.8&#x2013;166.2)</td>
<td valign="top" align="left">152.5 (132.2&#x2013;172.8)</td>
<td valign="top" align="left">149.2 (126.3&#x2013;172.1)</td>
</tr>
<tr>
<td valign="top" align="left">
<italic>w<sub>i</sub>
</italic>
</td>
<td valign="top" align="left">2018</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">4.7 (1.8&#x2013;7.5)</td>
<td valign="top" align="left">5.0 (0.8&#x2013;9.2)</td>
<td valign="top" align="left">4.8 (2.6&#x2013;7.0)</td>
<td valign="top" align="left">4.8 (2.8&#x2013;6.8)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">6.9 (4.9&#x2013;9.0)</td>
<td valign="top" align="left">4.7 (3.8&#x2013;5.7)</td>
<td valign="top" align="left">7.4 (4.7&#x2013;10.0)</td>
<td valign="top" align="left">6.4 (5.1&#x2013;7.8)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">8.2 (5.3&#x2013;11.1)</td>
<td valign="top" align="left">4.8 (3.9&#x2013;5.8)</td>
<td valign="top" align="left">10.2 (7.2&#x2013;13.2)</td>
<td valign="top" align="left">5.9 (4.1&#x2013;7.8)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">10.9 (5.0&#x2013;16.7)</td>
<td valign="top" align="left">16.8 (8.4&#x2013;25.2)</td>
<td valign="top" align="left">5.1 (1.7&#x2013;8.6)</td>
<td valign="top" align="left">22.6 (9.4&#x2013;35.8)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">2019</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">3.3 (-2.5&#x2013;9.1)</td>
<td valign="top" align="left">3.6 (-1.2&#x2013;8.3)</td>
<td valign="top" align="left">3.3 (-1.7&#x2013;8.3)</td>
<td valign="top" align="left">3.3 (-2.9&#x2013;9.6)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">5.9 (0.2&#x2013;11.6)</td>
<td valign="top" align="left">4.7 (-4.6&#x2013;13.9)</td>
<td valign="top" align="left">5.0 (1.0&#x2013;10.1)</td>
<td valign="top" align="left">6.5 (-1.0&#x2013;14.0)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">5.6 (3.9&#x2013;7.4)</td>
<td valign="top" align="left">4.4 (-0.4&#x2013;9.2)</td>
<td valign="top" align="left">3.8 (1.9&#x2013;5.7)</td>
<td valign="top" align="left">4.7 (1.5&#x2013;8.0)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">8.6 (6.0&#x2013;11.2)</td>
<td valign="top" align="left">11.7 (9.7&#x2013;13.7)</td>
<td valign="top" align="left">20.7 (12.7&#x2013;28.8)</td>
<td valign="top" align="left">15.2 (10.8&#x2013;19.6)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">5th</td>
<td valign="top" align="left">3.4 (1.1&#x2013;5.7)</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">2020</td>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">3.0 (2.0&#x2013;4.0)</td>
<td valign="top" align="left">2.5 (0.3&#x2013;4.8)</td>
<td valign="top" align="left">2.7 (1.9&#x2013;3.5)</td>
<td valign="top" align="left">2.8 (1.8&#x2013;3.8)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">4.9 (4.0&#x2013;5.8)</td>
<td valign="top" align="left">6.6 (1.6&#x2013;11.5)</td>
<td valign="top" align="left">5.1 (0.7&#x2013;9.4)</td>
<td valign="top" align="left">5.3 (3.9&#x2013;6.7)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">9.6 (6.0&#x2013;13.2)</td>
<td valign="top" align="left">8.7 (5.4&#x2013;11.9)</td>
<td valign="top" align="left">8.4 (5.5&#x2013;11.4)</td>
<td valign="top" align="left">8.9 (6.0&#x2013;11.7)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">8.6 (1.6&#x2013;15.5)</td>
<td valign="top" align="left">8.8 (3.1&#x2013;14.5)</td>
<td valign="top" align="left">7.3 (2.4&#x2013;12.2)</td>
<td valign="top" align="left">8.3 (2.4&#x2013;14.3)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="left">5th</td>
<td valign="top" align="left">16.4 (1.5&#x2013;31.3)</td>
<td valign="top" align="left">24.4 (-33.8&#x2013;82.6)</td>
<td valign="top" align="left">21.2 (6.2&#x2013;36.4)</td>
<td valign="top" align="left">20.2 (1.2&#x2013;39.3)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The 95% CLs are placed in the parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<italic>Adoxophyes orana</italic> had three male flight peaks per year (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). Regardless of the cultivars, the population peak was significantly higher in the last peak in 2018 and 2019 (non-overlapped 95% CLs); however, in 2020, it was significantly higher in the 2<sup>nd</sup> and 3<sup>rd</sup> peaks in the Jinghong orchards with no significant difference in peak height between the three peaks in Jiubao and Luhua9 orchards (non-overlapped 95% CLs) (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). The timing of flight peak of <italic>A. orana</italic> male adults was significantly different between peaks for a given cultivar in each year (non-overlapped 95% CLs); however, for a given flight peak, the timing was not significantly different between cultivars in each year (overlapped 95% CLs) (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Estimated number of moths captured (<italic>p<sub>i</sub>
</italic>) and timing (<italic>t<sub>i</sub>
</italic>, days since 02 April) of flight peak of <italic>Adoxophyes orana</italic> males in peach orchards of different cultivars in three consecutive years: <italic>y =</italic> <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>{</mml:mo>
<mml:mo>-</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo><mml:mo>(</mml:mo><mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow><mml:mo>)</mml:mo></mml:mrow>
<mml:mo stretchy="false">/</mml:mo>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>}</mml:mo>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>}</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the coefficients controlling the width of <italic>i</italic> peak.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center">Parameter</th>
<th valign="top" align="center">Year</th>
<th valign="top" align="center">Peak</th>
<th valign="top" align="center">Jinghong</th>
<th valign="top" align="center">Jiubao</th>
<th valign="top" align="center">Luhua9</th>
<th valign="top" align="center">Overall</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">
<italic>p<sub>i</sub>
</italic>
</td>
<td valign="top" align="center">2018</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">72.2 (45.5&#x2013;99.0)</td>
<td valign="top" align="center">61.0 (43.8&#x2013;78.3)</td>
<td valign="top" align="center">19.1 (5.1&#x2013;33.0)</td>
<td valign="top" align="center">51.8 (31.8&#x2013;71.3)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">33.6 (14.3&#x2013;52.9)</td>
<td valign="top" align="center">42.6 (24.0&#x2013;61.3)</td>
<td valign="top" align="center">14.7 (0.6&#x2013;28.8)</td>
<td valign="top" align="center">23.8 (12.3&#x2013;41.2)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">129.8 (104.&#x2013;155.6)</td>
<td valign="top" align="center">126.9 (109.5&#x2013;144.2)</td>
<td valign="top" align="center">65.2 (49.6&#x2013;80.9)</td>
<td valign="top" align="center">98.8 (82.1&#x2013;115.5)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center">2019</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">69.4 (15.9&#x2013;123.0)</td>
<td valign="top" align="center">69.2 (0.7&#x2013;137.7)</td>
<td valign="top" align="center">48.1 (18.6&#x2013;77.6)</td>
<td valign="top" align="center">60.1 (4.0&#x2013;116.1)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">175.5 (113.2&#x2013;237.8)</td>
<td valign="top" align="center">175.6 (150.8&#x2013;200.3)</td>
<td valign="top" align="center">86.8 (53.1&#x2013;120.6)</td>
<td valign="top" align="center">143.7 (102.9&#x2013;184.5)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">300.0 (259.1&#x2013;340.9)</td>
<td valign="top" align="center">245.1 (207.3&#x2013;283.0)</td>
<td valign="top" align="center">161.6 (139.2&#x2013;184.0)</td>
<td valign="top" align="center">218.9 (190.9&#x2013;246.9)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center">2020</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">46.1 (0.5&#x2013;91.6)</td>
<td valign="top" align="center">84.5 (14.7&#x2013;154.3)</td>
<td valign="top" align="center">104.0 (45.7&#x2013;162.3)</td>
<td valign="top" align="center">76.7 (41.7&#x2013;111.7)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">180.1 (120.5&#x2013;239.7)</td>
<td valign="top" align="center">170.9 (111.0&#x2013;230.8)</td>
<td valign="top" align="center">156.8 (94.7&#x2013;218.8)</td>
<td valign="top" align="center">158.4 (128.1&#x2013;188.6)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">180.2 (117.9&#x2013;242.5)</td>
<td valign="top" align="center">184.2 (90.3&#x2013;278.1)</td>
<td valign="top" align="center">111.7 (68.5&#x2013;155.0)</td>
<td valign="top" align="center">156.3 (121.5&#x2013;191.2)</td>
</tr>
<tr>
<td valign="top" align="center">
<italic>t<sub>i</sub>
</italic>
</td>
<td valign="top" align="center">2018</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">60.1 (57.8&#x2013;62.5)</td>
<td valign="top" align="center">59.9 (57.0&#x2013;62.7)</td>
<td valign="top" align="center">64.3 (57.1&#x2013;71.5)</td>
<td valign="top" align="center">51.6 (31.8&#x2013;71.3)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">99.1 (92.2&#x2013;105.9)</td>
<td valign="top" align="center">102.1 (98.3&#x2013;105.9)</td>
<td valign="top" align="center">102.0 (93.2&#x2013;110.8)</td>
<td valign="top" align="center">101.6 (95.4&#x2013;107.8)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">164.3 (163.0&#x2013;165.6)</td>
<td valign="top" align="center">166.9 (165.7&#x2013;168.1)</td>
<td valign="top" align="center">162.4 (160.8&#x2013;164.0)</td>
<td valign="top" align="center">165.0 (163.6&#x2013;166.4)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center">2019</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">67.0 (56.5&#x2013;77.4)</td>
<td valign="top" align="center">67.4 (59.3&#x2013;75.4)</td>
<td valign="top" align="center">69.1 (64.6&#x2013;73.5)</td>
<td valign="top" align="center">67.8 (60.6&#x2013;75.0)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">113.5 (109.8&#x2013;117.1)</td>
<td valign="top" align="center">123.7 (118.6&#x2013;128.9)</td>
<td valign="top" align="center">113.7 (111.3&#x2013;116.2)</td>
<td valign="top" align="center">116.0 (113.1&#x2013;118.9)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">170.4 (167.3&#x2013;173.5)</td>
<td valign="top" align="center">170.6 (167.8&#x2013;173.3)</td>
<td valign="top" align="center">165.9 (164.2&#x2013;167.5)</td>
<td valign="top" align="center">168.7 (166.1&#x2013;171.3)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center">2020</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">66.4 (51.3&#x2013;81.4)</td>
<td valign="top" align="center">64.8 (55.1&#x2013;74.4)</td>
<td valign="top" align="center">64.4 (59.6&#x2013;69.1)</td>
<td valign="top" align="center">65.1 (60.4&#x2013;69.7)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">114.1 (109.6&#x2013;118.0)</td>
<td valign="top" align="center">119.3 (113.7&#x2013;124.9)</td>
<td valign="top" align="center">116.5 (113.5&#x2013;119.5)</td>
<td valign="top" align="center">116.6 (114.0&#x2013;119.3)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">164.2 (159.9&#x2013;168.5)</td>
<td valign="top" align="center">164.0 (160.7&#x2013;167.3)</td>
<td valign="top" align="center">160.3 (154.4&#x2013;166.2)</td>
<td valign="top" align="center">163.4 (161.0&#x2013;165.7)</td>
</tr>
<tr>
<td valign="top" align="center">
<italic>w<sub>i</sub>
</italic>
</td>
<td valign="top" align="center">2018</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">4.2 (1.3&#x2013;7.1)</td>
<td valign="top" align="center">7.8 (5.0&#x2013;10.6)</td>
<td valign="top" align="center">8.6 (2.3&#x2013;14.8)</td>
<td valign="top" align="center">5.4 (2.8&#x2013;8.1)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">11.6 (4.3&#x2013;18.9)</td>
<td valign="top" align="center">5.9 (2.9&#x2013;8.9)</td>
<td valign="top" align="center">7.1 (-0.4&#x2013;14.7)</td>
<td valign="top" align="center">10.0 (3.9&#x2013;16.0)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">5.3 (4.1&#x2013;6.5)</td>
<td valign="top" align="center">7.8 (6.6&#x2013;9.0)</td>
<td valign="top" align="center">5.5 (4.0&#x2013;6.9)</td>
<td valign="top" align="center">7.1 (5.7&#x2013;8.4)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center">2019</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">8.5 (1.2&#x2013;15.9)</td>
<td valign="top" align="center">5.5 (-0.6&#x2013;11.7)</td>
<td valign="top" align="center">6.3 (2.1&#x2013;10.5)</td>
<td valign="top" align="center">7.1 (2.0&#x2013;12.3)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">6.5 (3.2&#x2013;9.8)</td>
<td valign="top" align="center">13.6 (8.6&#x2013;18.6)</td>
<td valign="top" align="center">5.5 (3.5&#x2013;7.6)</td>
<td valign="top" align="center">7.8 (4.5&#x2013;11.1)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">12.2 (9.1&#x2013;15.4)</td>
<td valign="top" align="center">8.0 (4.9&#x2013;11.2)</td>
<td valign="top" align="center">9.6 (8.0&#x2013;11.2)</td>
<td valign="top" align="center">11.7 (9.0&#x2013;14.3)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center">2020</td>
<td valign="top" align="center">1st</td>
<td valign="top" align="center">9.0 (-6.1&#x2013;24.0)</td>
<td valign="top" align="center">10.1 (0.1&#x2013;20.1)</td>
<td valign="top" align="center">7.1 (2.4&#x2013;11.7)</td>
<td valign="top" align="center">8.7 (4.2&#x2013;13.3)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">2nd</td>
<td valign="top" align="center">11.8 (7.0&#x2013;16.7)</td>
<td valign="top" align="center">14.1 (8.0&#x2013;20.3)</td>
<td valign="top" align="center">6.4 (3.2&#x2013;9.4)</td>
<td valign="top" align="center">12.0 (9.2&#x2013;14.7)</td>
</tr>
<tr>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td valign="top" align="center">3rd</td>
<td valign="top" align="center">10.8 (5.8&#x2013;15.8)</td>
<td valign="top" align="center">6.8 (2.9&#x2013;10.8)</td>
<td valign="top" align="center">12.6 (6.5&#x2013;18.7)</td>
<td valign="top" align="center">9.6 (6.8&#x2013;12.4)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The 95% CLs are placed in the parentheses.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The total number of <italic>G. molesta</italic> male adults captured was significantly higher in 2020 than in 2018 and 2019, and it was significantly higher in Jinghong and Luhua9 orchards than in the Jiubao one in 2018 and 2020 (F<sub>8,18&#xa0;=&#xa0;</sub>31.29, P&lt; 0.0001) (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>). For <italic>A. orana</italic>, the number of males captured was significantly higher in Jinghong and Jiubao orchards in 2019 and 2020 (F<sub>8,18&#xa0;=&#xa0;</sub>20.97, P&lt; 0.0001) (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>). For a given cultivar and year, the number of <italic>G. molesta</italic> male adults was significantly higher than that of <italic>A. orana</italic> (F<sub>1,4&#xa0;=&#xa0;</sub>9.93&#x2013;222.46, P&lt; 0.05), except that in the Jiubao orchard in 2019 (F<sub>1,4&#xa0;=&#xa0;</sub>1.45, P = 0.2820).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Cumulative number of male adults captured in peach orchards of different cultivars in three successive years: <bold>(A)</bold> <italic>Grapholita molesta</italic>, and <bold>(B)</bold>&#xa0;<italic>Adoxophyes orana</italic>. For each moth species, columns with the same letter are not significantly different (ANOVA: P &gt; 0.05).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fagro-05-1269977-g004.tif"/>
</fig>
</sec>
<sec id="s3_2">
<title>Degree-days</title>
<p>The first <italic>G. molesta</italic> male adult was expected to emerge from early to mid-April with a cumulative DD of 50&#x2013;136, while the first <italic>A. orana</italic> male adult emerged one month later with a cumulative DD of about 460 (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Generally, <italic>A. orana</italic> required more DD to reach the subsequent flight peaks and egg hatching than did <italic>G. molesta</italic> (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>).</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Timing (date) of first adult captured/male adult flight peaks (from the overall model), cumulative degree-days (DD) for flight peaks, and timing (date) of egg hatching of <italic>Grapholita molesta</italic> and <italic>Adoxophyes orana</italic> in different years.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">First capture</th>
<th valign="top" colspan="3" align="center">date <xref ref-type="table-fn" rid="fnT3_1">
<sup>a</sup>
</xref>
</th>
<th valign="top" colspan="3" align="center">DD <xref ref-type="table-fn" rid="fnT3_2">
<sup>b</sup>
</xref>
</th>
<th valign="top" colspan="3" align="center">Date of egg hatch <xref ref-type="table-fn" rid="fnT3_3">
<sup>c</sup>
</xref>
</th>
</tr>
<tr>
<th valign="top" align="left">and peak</th>
<th valign="top" align="center">2018</th>
<th valign="top" align="center">2019</th>
<th valign="top" align="center">2020</th>
<th valign="top" align="right">2018</th>
<th valign="top" align="right">2019</th>
<th valign="top" align="right">2020</th>
<th valign="top" align="center">2018</th>
<th valign="top" align="center">2019</th>
<th valign="top" align="center">2020</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="top" colspan="10" align="left">
<italic>G. molesta</italic>
</th>
</tr>
<tr>
<td valign="top" align="left">First capture</td>
<td valign="top" align="left">16 Apr</td>
<td valign="top" align="left">09 Apr</td>
<td valign="top" align="left">02 Apr</td>
<td valign="top" align="right">135.8</td>
<td valign="top" align="right">76.4</td>
<td valign="top" align="right">49.6</td>
<td valign="top" align="left">26 Apr</td>
<td valign="top" align="left">23 Apr</td>
<td valign="top" align="left">18 Apr</td>
</tr>
<tr>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">02 May</td>
<td valign="top" align="left">21 Apr</td>
<td valign="top" align="left">12 Apr</td>
<td valign="top" align="right">207.1</td>
<td valign="top" align="right">143.2</td>
<td valign="top" align="right">85.7</td>
<td valign="top" align="left">10 May</td>
<td valign="top" align="left">04 May</td>
<td valign="top" align="left">25 Apr</td>
</tr>
<tr>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">30 May</td>
<td valign="top" align="left">01 Jun</td>
<td valign="top" align="left">01 Jun</td>
<td valign="top" align="right">589.2</td>
<td valign="top" align="right">573.8</td>
<td valign="top" align="right">576.8</td>
<td valign="top" align="left">05 Jun</td>
<td valign="top" align="left">07 Jun</td>
<td valign="top" align="left">06 Jun</td>
</tr>
<tr>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">26 Jun</td>
<td valign="top" align="left">30 Jun</td>
<td valign="top" align="left">30 Jun</td>
<td valign="top" align="right">1025.5</td>
<td valign="top" align="right">1025.2</td>
<td valign="top" align="right">1050.5</td>
<td valign="top" align="left">30 Jun</td>
<td valign="top" align="left">04 Jul</td>
<td valign="top" align="left">06 Jul</td>
</tr>
<tr>
<td valign="top" align="left">4th</td>
<td valign="top" align="left">24 Jul</td>
<td valign="top" align="left">03 Aug</td>
<td valign="top" align="left">31 Jul</td>
<td valign="top" align="right">1511.0</td>
<td valign="top" align="right">1617.4</td>
<td valign="top" align="right">1514.2</td>
<td valign="top" align="left">29 Jul</td>
<td valign="top" align="left">08Aug</td>
<td valign="top" align="left">05 Aug</td>
</tr>
<tr>
<td valign="top" align="left">5th</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="left">28 Aug</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="right">1942.1</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="center">&#x2014;</td>
<td valign="top" align="left">03 Sep</td>
</tr>
<tr>
<th valign="top" colspan="10" align="left">
<italic>A. orana</italic>
</th>
</tr>
<tr>
<td valign="top" align="left">First capture</td>
<td valign="top" align="left">09 May</td>
<td valign="top" align="left">14 May</td>
<td valign="top" align="left">13 May</td>
<td valign="top" align="right">450.4</td>
<td valign="top" align="right">459.2</td>
<td valign="top" align="right">467.9</td>
<td valign="top" align="left">16 May</td>
<td valign="top" align="left">20 May</td>
<td valign="top" align="left">21 May</td>
</tr>
<tr>
<td valign="top" align="left">1st</td>
<td valign="top" align="left">30 May</td>
<td valign="top" align="left">08 Jun</td>
<td valign="top" align="left">05 Jun</td>
<td valign="top" align="right">749.0</td>
<td valign="top" align="right">866.7</td>
<td valign="top" align="right">809.4</td>
<td valign="top" align="left">05 Jun</td>
<td valign="top" align="left">13 Jun</td>
<td valign="top" align="left">10 Jun</td>
</tr>
<tr>
<td valign="top" align="left">2nd</td>
<td valign="top" align="left">11 Jul</td>
<td valign="top" align="left">26 Jul</td>
<td valign="top" align="left">27 Jul</td>
<td valign="top" align="right">1539.7</td>
<td valign="top" align="right">1788.9</td>
<td valign="top" align="right">1743.3</td>
<td valign="top" align="left">16 Jul</td>
<td valign="top" align="left">31 Jul</td>
<td valign="top" align="left">01 Aug</td>
</tr>
<tr>
<td valign="top" align="left">3rd</td>
<td valign="top" align="left">13 Sep</td>
<td valign="top" align="left">17 Sep</td>
<td valign="top" align="left">11 Sep</td>
<td valign="top" align="right">2704.4</td>
<td valign="top" align="right">2662.8</td>
<td valign="top" align="right">2530.0</td>
<td valign="top" align="left">21 Sep</td>
<td valign="top" align="left">25 Sep</td>
<td valign="top" align="left">19 Sep</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="fnT3_1">
<label>a</label>
<p>the date of male adult flight peaks was estimated from the overall model for the three cultivars.</p>
</fn>
<fn id="fnT3_2">
<label>b</label>
<p>the cumulative degree-days (DD) for flight peaks were calculated basing on the low temperature thresholds of 9.5&#xb0;C for <italic>G. molesta</italic> and 7.2&#xb0;C for <italic>A. orana</italic> (<xref ref-type="bibr" rid="B12">Damos et&#xa0;al., 2022</xref>) on 13 March 2018, 05 March 2019 and 15 March 2020.</p>
</fn>
<fn id="fnT3_3">
<label>c</label>
<p>date of egg hatching was estimated basing on the degree-days for egg hatching, i.e., 79.4 DD for <italic>G. molesta</italic> (<xref ref-type="bibr" rid="B7">Croft et&#xa0;al., 1980</xref>) and 90.0 DD for <italic>A. orana</italic> (<xref ref-type="bibr" rid="B6">Charmillot and Megevand, 1983</xref>).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>The first step to integrated pest management (IPM) of the identified species is the timely detection of a pest infestation. Sex pheromone traps have long been used for detecting presence of insects in the early season and long-term monitoring of pest population size during the growing seasons. We detect three distinct flight peaks for <italic>A. orana</italic> and 4&#x2013;5 flight peaks <italic>G. molesta</italic> during the growing seasons (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>). According to previous studies (<xref ref-type="bibr" rid="B36">Milonas et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B33">Kumral et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B12">Damos et&#xa0;al., 2022</xref>), the number of flight peaks in lepidopteran moths may roughly reflect the number of field generations. However, <xref ref-type="bibr" rid="B12">Damos et&#xa0;al. (2022)</xref> argue that as the season progresses, the higher variation in the last moth flights could be observed, probably due to the extreme high temperatures occurring during the summer which slow down the development and cause bimodal peaks. In this study we did not record a high temperature during the 3rd flight peak in July in 2019 and 2020 compared to that in 2018 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>). Alternately, according to <xref ref-type="bibr" rid="B65">Zhao et&#xa0;al. (2017)</xref>, the continuous low soil water content due to the low precipitation in August 2019/2020 (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1B</bold>
</xref>) may result in the bimodal adult emergence peaks. Therefore, the additional fifth flight peaks of <italic>G. molesta</italic> in late season in 2019 (for Jinghong only) and 2020 (for all cultivars) could be from the same generation, and there were three and four generations detected for <italic>A. orana</italic> and <italic>G. molesta</italic>, respectively. The various number of flight peaks or generations between these two species may be attributed to their natural phenology, i.e., <italic>G. molesta</italic> overwinter as the mature instar larvae (<xref ref-type="bibr" rid="B54">Rothschild and Vickers, 1991</xref>; <xref ref-type="bibr" rid="B42">Notter-Hausmann and Dorn, 2010</xref>) and overwintered larvae pupate and adults emerge in the spring (<xref ref-type="bibr" rid="B56">Sarai, 1970</xref>; <xref ref-type="bibr" rid="B16">Ellis and Hull, 2013</xref>), while <italic>A. orana</italic> overwinters at the 3rd instar (<xref ref-type="bibr" rid="B43">Oku, 1966</xref>) and overwintered larvae feed and develop again before adult emergence and thus require more time to complete the lifecycle and start a new generation.</p>
<p>Invasive herbivores usually utilize a broad range of host plants. Previous research reveals that both <italic>G. molesta</italic> and <italic>A. orana</italic> prefer peach over other host plants, such as apple and/or pear, for larval feeding, development or oviposition (<xref ref-type="bibr" rid="B37">Myers et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B49">Pi&#xf1;ero and Dorn, 2009</xref>; <xref ref-type="bibr" rid="B38">Najar-Rodriguez et&#xa0;al., 2013a</xref>; <xref ref-type="bibr" rid="B39">Najar-Rodriguez et&#xa0;al., 2013b</xref>; <xref ref-type="bibr" rid="B34">Li et&#xa0;al., 2021</xref>). In the precent study, we further show that among different peach cultivars, the total number of <italic>G. molesta</italic> male adults captured was significantly higher in Jinghong than in Luhua9 with significantly lesser male adults trapped in Jiubao (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>), while the <italic>A. orana</italic> population size was significantly higher in Jinghong and Jiubao than in Luhua9 (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>). We suggest a variation in plant nutrients existing between peach cultivars, which may impact the interactions between host plants and insect herbivores, regulating the herbivore fecundity (<xref ref-type="bibr" rid="B3">Awmack and Leather, 2002</xref>) and affecting their population and community dynamics (<xref ref-type="bibr" rid="B24">Joern et&#xa0;al., 2012</xref>). In addition, we also show that the population size of <italic>G. molesta</italic> was usually significantly higher than that of <italic>A. orana</italic> (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>), suggesting that <italic>G. molesta</italic> performed better on peaches than did <italic>A. orana</italic>. To understand the mechanisms behind the varying population dynamic between cultivars and varying population size between herbivore species, future studies should assess development and reproduction of <italic>G. molesta</italic> and <italic>A. orana</italic> reared on growing shoots/leaves and peach fruit of different cultivars. Furthermore, it should be noted that the differences in environmental conditions across years and possible in the relative effectiveness of pheromone traps/lures for these two species may lead to the variations of moth populations between different years (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>) and between species (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). However, these assumptions require further investigations, e.g., independently testing the specific pheromone traps/lures in successive years and separated orchards.</p>
<p>Although the number of moths captured in orchards of each peach cultivar varied between flight peaks, the seasonal phenology of <italic>G. molesta</italic> or <italic>A. orana</italic> was quite stable with an identical timing of each flight peak between cultivars in a year (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T2">
<bold>2</bold>
</xref>). The identical flight timing allows us to fit the overall data of different cultivars using a single phenology model. The precise prediction of flight timing coordinating with the degree-days technique (e.g., <xref ref-type="bibr" rid="B53">Rice et&#xa0;al., 1984</xref>; <xref ref-type="bibr" rid="B59">Tobin et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B47">Pehlevan and Kovanci, 2017</xref>; <xref ref-type="bibr" rid="B55">Rowley et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B19">Graf et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B12">Damos et&#xa0;al., 2022</xref>) may provide critical information to optimize the schedule of pheromone trap or pesticide applications. For example, the flight peak of overwintered <italic>G. molesta</italic> or <italic>A. orana</italic> was usually lower than the consequent peaks (i.e., the 2nd and 3rd peaks) (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T2">
<bold>2</bold>
</xref>), which provides opportunities to prevent the outbreaks of field populations in the later seasons when the overwintered population size is low in early spring (<xref ref-type="bibr" rid="B61">Tshernyshei, 1995</xref>; <xref ref-type="bibr" rid="B44">Parry et&#xa0;al., 2019</xref>). Therefore, to trap the newly emerged male adults or disrupting female mating success in the 1st generation in peach orchards, deploying pheromone traps would be scheduled in April with a cumulative DD between 49.6 (for the earliest male captured in 2020) and 207.1 (for the 1st flight peak in 2018) for <italic>G. molesta</italic> and in mid-May&#x2013;early June with a cumulative DD between 450.4 (for the earliest male captured in 2018) and 866.7 (for the 1st flight peak in 2019) for <italic>A. orana</italic> (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The high variation of degree day calculations for the first emergence and first flight peak for <italic>G. molesta</italic> in different years (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>) may be attributed to the various environmental temperatures before adult emergence (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The precise predictions of first adult flight and larval emergence basing on the calculated cumulative DD need future confirmation in orchards in early spring. Additionally, according to the thermal requirement for egg hatching [i.e., 79.4 DD for <italic>G. molesta</italic> (<xref ref-type="bibr" rid="B7">Croft et&#xa0;al., 1980</xref>) and 90.0 DD for <italic>A. orana</italic> (<xref ref-type="bibr" rid="B6">Charmillot and Megevand, 1983</xref>)], insecticide treatments would be applied in late-April&#x2013;early May and late May&#x2013;early June to reduce the field population density of neonates of <italic>G. molesta</italic> and <italic>A. orana</italic>, respectively.</p>
<p>Our results also demonstrate that compared to the overwintered population, the moth populations were higher during the growing seasons (<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2</bold>
</xref>, <xref ref-type="fig" rid="f3">
<bold>3</bold>
</xref>). Therefore, to reduce the fruit damage, pheromone traps would be deployed in June to suppress <italic>G. molesta</italic> populations in the 2nd and 3rd generations and in mid- to early July to suppress <italic>A. orana</italic> populations in 2nd generation when the cumulative DD reached 573.8&#x2013;1025.2 for <italic>G. molesta</italic> and 1539.7&#x2013;1788.9 for <italic>A. orana</italic> (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). In addition, applications of short term-residue insecticides in early June to early July and mid-July to late July (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>) might respectively suppress populations of <italic>G. molesta</italic> and <italic>A. orana</italic> neonate feeding on peach fruit. Furthermore, it is well known that there is positive relationship between the overwintering and next spring populations (<xref ref-type="bibr" rid="B22">Hu et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B27">Ju et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B26">Jorgensen et&#xa0;al., 2020</xref>). It is thus suggested that pheromone traps could be set up in late July&#x2013;early August to trap <italic>G. molesta</italic> of the 4th generation and in mid-September to trap <italic>A. orana</italic> of the 3rd generation when the cumulative DD reached 1511.0&#x2013;1617.4 for <italic>G. molesta</italic> and 2704.4&#x2013;2662.8 for <italic>A. orana</italic>, which may reduce overwintering population size and thus decrease pest infestation in next year. However, application of chemical treatments to reduce the neonate population is not encouraged just before fruit harvest. Furthermore, mating disruption using sex pheromones may be less effective during the last generation, because moth survival is largely determined by some other factors such as the temperature, moisture and predators during overwintering.</p>
<p>In conclusion, results of this study show that there are three clear flight peaks reflecting three generations for <italic>A. orana</italic>, with four to five flight peaks observed but probably only four generations for <italic>G. molesta</italic>. We find that the population size of <italic>G. molesta</italic> in peach cultivars of Jinghong and Luhua9 is higher than that in Jiubao, while <italic>A. orana</italic> population is higher in peach cultivars of Jinghong and Jiubao than in Luhua9. We develop a logistic multiple-peaks model to predict the seasonal phenology of moths and integrate the results with the degree-days calculation, which may help optimize the precise timings of pheromone trap and insecticide applications aiming to suppress the male adult population size and reduce neonate population density of both <italic>G. molesta</italic> and <italic>A. orana</italic>. Future research will investigate the efficiency of precise timing and number of pheromone traps and insecticide applications in suppressing pest populations in field.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The manuscript presents research on animals that do not require ethical approval for their study.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>HZ: Conceptualization, Data curation, Investigation, Methodology, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. AM: Conceptualization, Investigation, Methodology, Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. HR: Investigation, Validation, Writing &#x2013; review &amp; editing. XY: Investigation, Validation, Writing &#x2013; review &amp; editing. JH: Investigation, Validation, Writing &#x2013; review &amp; editing. JZ: Investigation, Validation, Writing &#x2013; review &amp; editing. HL: Investigation, Validation, Writing &#x2013; review &amp; editing. ZY:&#xa0;Investigation, Validation, Writing &#x2013; review &amp; editing. XW: Investigation, Validation, Writing &#x2013; review &amp; editing. XH: Data curation, Formal Analysis, Software, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. JL: Conceptualization, Funding acquisition, Methodology, Project administration, Resources, Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The authors declare financial support was received for the research, authorship, and/or publication of this article. This work was partly supported by the Earmarked Fund for Hebei Peach Innovation Team of Modern Agro-industry Technology Research System (HBCT2021220205).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We would like to thank Shunping Wangrui Farmer Professional Cooperativeal allowed us to set up the experiments and collect data in the peach orchards, and Mrs. Rui Jiao for her technical support during the early stage of statistical analysis. We are also very grateful to two reviewers for their constructive comments on an earlier manuscript, which have significantly improved the quality of the paper.</p>
</ack>
<sec id="s9" 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="s10" 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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