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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Ecol. Evol.</journal-id>
<journal-title>Frontiers in Ecology and Evolution</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Ecol. Evol.</abbrev-journal-title>
<issn pub-type="epub">2296-701X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fevo.2017.00170</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Ecology and Evolution</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The Crop Load Affects Brown Rot Progression in Fruit Orchards: High Fruit Densities Facilitate Fruit Exposure to Spores but Reduce the Infection Rate by Decreasing Fruit Growth and Cuticle Cracking</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Bellingeri</surname> <given-names>Michele</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/471110/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Quilot-Turion</surname> <given-names>Benedicte</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/363762/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Oliveira Lino</surname> <given-names>Leandro</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Bevacqua</surname> <given-names>Daniele</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/404731/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Plants and Cropping Systems in Horticulture (INRA)</institution>, <addr-line>Avignon</addr-line>, <country>France</country></aff>
<aff id="aff2"><sup>2</sup><institution>Dipartimento di Fisica, Universit&#x000E0; di Parma</institution>, <addr-line>Parma</addr-line>, <country>Italy</country></aff>
<aff id="aff3"><sup>3</sup><institution>Genetics and Improvement of Fruit and Vegetables (INRA)</institution>, <addr-line>Avignon</addr-line>, <country>France</country></aff>
<aff id="aff4"><sup>4</sup><institution>CAPES Foundation, Ministry of Education of Brazil</institution>, <addr-line>Bras&#x000ED;lia</addr-line>, <country>Brazil</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Su Wang, Beijing Academy of Agricultural and Forestry Sciences, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Eugene B. Postnikov, Kursk State University, Russia; Freerk Molleman, Indian Institute of Science Education and Research, Thiruvananthapuram, India</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Michele Bellingeri <email>michele.bellingeri&#x00040;nemo.unipr.it</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Population and Evolutionary Dynamics, a section of the journal Frontiers in Ecology and Evolution</p></fn></author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>01</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>5</volume>
<elocation-id>170</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>08</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>12</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2018 Bellingeri, Quilot-Turion, Oliveira Lino and Bevacqua.</copyright-statement>
<copyright-year>2018</copyright-year>
<copyright-holder>Bellingeri, Quilot-Turion, Oliveira Lino and Bevacqua</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) or licensor 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>Brown rot, triggered by <italic>Monilinia</italic> spp., causes significant economic losses in fruit crop and it is mainly controlled by chemicals with inherent environmental costs. Controlling brown rot spreading by diminishing fruit susceptibility to the disease, via sustainable cultural practices, is a promising approach. In a 2 years experiment (2014&#x02013;2015) on a peach (<italic>Prunus persica</italic>) orchard, we controlled fruit growth rates by varying the fruit load. Fruit thinning practices enhanced the fruit growth and laboratory analyses showed that, in both 2014 and 2015 samples, fast growing fruits were more susceptible to infection when in contact with conidia suspension of <italic>Monilinia laxa</italic>. In the field, brown rot infection took place in 2014 and not in 2015. In 2014, trees subject to moderate thinning intensities had the highest brown rot incidence. We argue that this is due to the fact that, for null thinning, slow growing fruits are less susceptible to the infection while, for intense thinning, even if faster growing fruits are more susceptible to infection, the lower fruits density reduces per-contact probability of infection. We compared meteorological data of 2014 and 2015 and we argue that brown rot did not spread in 2015 due to an absence of favorable conditions, summarized as the number of rainy days with mean temperature between 22 and 26&#x000B0;C, in the period of fruit susceptibility.</p></abstract>
<kwd-group>
<kwd><italic>Monilinia</italic> spp.</kwd>
<kwd>agricultural ecosystems</kwd>
<kwd>fungi disease</kwd>
<kwd><italic>Prunus persica</italic></kwd>
<kwd>peach orchard</kwd>
<kwd>brown rot incidence</kwd>
<kwd>fruit thinning</kwd>
<kwd>sustainable agriculture</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="0"/>
<equation-count count="1"/>
<ref-count count="33"/>
<page-count count="7"/>
<word-count count="4611"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Brown rot caused by <italic>Monilinia</italic> spp. is one of the main diseases in stone fruits. It affects peach (<italic>Prunus persica</italic>) trees all around the world (Oliveira et al., <xref ref-type="bibr" rid="B27">2016</xref>) and it is responsible of fruit rotting, and consequent crop losses, during the pre and post-harvest period (Lichou et al., <xref ref-type="bibr" rid="B21">2003</xref>; Larena et al., <xref ref-type="bibr" rid="B19">2005</xref>; Bussi et al., <xref ref-type="bibr" rid="B7">2015</xref>). The control of brown rot is fundamental to preserve peach production and it is usually based on the use of chemicals with negative consequences on the environment and possibly on the human health (Larena et al., <xref ref-type="bibr" rid="B19">2005</xref>). However, there is increasing evidence that brown rot incidence can be reduced also by sustainable agricultural practices in substitution or addition to the use of chemicals (Mercier et al., <xref ref-type="bibr" rid="B23">2008</xref>; Gibert et al., <xref ref-type="bibr" rid="B14">2009</xref>; Bussi et al., <xref ref-type="bibr" rid="B7">2015</xref>).</p>
<p><italic>Monilinia</italic> spp. overwinter in twig cankers or rotten fruits over the tree or the orchard ground. Conidial spores, which germinate from the mummies in spring when favorable environmental conditions are met, represent the primary inoculum for the infection. Primary inoculum spores are disseminated within the tree crown and in the orchard by rain and air currents (Byrde and Willetts, <xref ref-type="bibr" rid="B8">1977</xref>; Van Leeuwen et al., <xref ref-type="bibr" rid="B32">2000</xref>). The spores that successfully infect a fruit reproduce and generate secondary inoculum (Biggs and Northover, <xref ref-type="bibr" rid="B4">1985</xref>) that will cause new infections (Corbin, <xref ref-type="bibr" rid="B9">1963</xref>; Byrde and Willetts, <xref ref-type="bibr" rid="B8">1977</xref>). Infection occurs when the fungus succeeds in passing through the fruit cuticular surface via stomata, lenticels, wounds or cuticle cracks (Byrde and Willetts, <xref ref-type="bibr" rid="B8">1977</xref>; Xu and Robinson, <xref ref-type="bibr" rid="B33">2000</xref>; Gibert et al., <xref ref-type="bibr" rid="B14">2009</xref>) and reaches the fruit pulp. Cuticle cracks can represent more than 10% of the fruit surface area at ripeness (Gibert et al., <xref ref-type="bibr" rid="B15">2007</xref>) and provide straightforward ways for fungal infection (Nguyen-the, <xref ref-type="bibr" rid="B26">1991</xref>; Fourie and Holz, <xref ref-type="bibr" rid="B12">2003</xref>).</p>
<p>In the present work we use field and laboratory data to test if (i) fruits that experienced different growth rates show different susceptibility to brown rot infection in laboratory conditions and if (ii) possible differences in fruit susceptibility are associated with different brown rot incidence in the field. Eventually, since in the experimental orchard brown rot infestation took place in 2014 but not in 2015, we perform an exploratory data analysis to investigate if the absence of infestation in 2015 were due to internal (e.g., a different susceptibility of fruits) or external (e.g., meteorological conditions) differences.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<sec>
<title>Experimental orchard and sampling design</title>
<p>We performed a 2-year (2014&#x02013;2015) experiment on a peach orchard (cultivar Magic, grafted onto GF677 rootstock) planted in 2006 with 4 m spacing between rows and trees. The orchard was located at the INRA Centre of Avignon (southeastern France: 43&#x000B0;9&#x02032;N, 4&#x000B0;8&#x02032;E) and it consisted of 5 rows of 10 trees each. Yet, in 2014 only 43 trees were left. From 2013, trees were not treated with fungicide after bud burst and they were subject to different thinning intensities (TI) in order to alter the fruit/leaf ratio and obtain different fruit growth rates (Fishman and Genard, <xref ref-type="bibr" rid="B11">1998</xref>). We thinned the trees at Julian day (JD) 136 in the year 2014 and at JD 153 in 2015. With the term Julian Day of a given year, we refer to the number of days passed from the 1st of January of the considered year. In thinned trees, we left 3 and 6 fruits per meter of fruit bearing shoot (FBS), respectively in the case of intense and moderate thinning intensity. In the case of null thinning, a FBS bore on average 25 fruits per meter. In 2014 we applied three levels of TI (null, moderate and intense) while in 2015 we applied only two levels of TI (null and intense). Apart from TI and absence of fungicide applications, we managed the trees according to normal commercial practices with respect to winter pruning, fertilization, irrigation and insecticide application.</p>
<p>We chose 18 trees in the orchard, excluding those on the border sides and those which displayed low vigor at the beginning of the vegetative season. We weekly monitored the status (i.e., symptomless or infected) and the size of 3,310 fruits (770 in 2014 and 2,540 in 2015) born on selected 1 year-old FBS (5 FBS per tree in 2014 and 10 FBS per tree in 2015) from JD 100 to JD 196 in 2014, and from JD 124 to 198 in 2015. Trees flowered on JD 58 and JD 74, and the harvest occurred on the JD 196 and JD 209, respectively in 2014 and 2015. In Tables <xref ref-type="supplementary-material" rid="SM1">A1</xref>, <xref ref-type="supplementary-material" rid="SM1">A2</xref> (Supplementary Materials), we report details of the monitored trees (thinning intensity, length of the monitored shoots, initial number of fruits, etc.). In the Supporting Information A3 we depict the spatial plan of the orchard (See Figures <xref ref-type="supplementary-material" rid="SM1">A6</xref>, <xref ref-type="supplementary-material" rid="SM1">A7</xref> in Supplementary Materials).</p>
</sec>
<sec>
<title>Laboratory analyses</title>
<p>We used the strain Ml3 of <italic>Monilinia laxa</italic> to test in the laboratory fruit susceptibility to infection. We took the strain from an apricot fruit mummy in March 2011 at the INRA station of Gotheron (southeastern France: 43&#x000B0;9&#x02032;N, 4&#x000B0;8&#x02032;E). We isolated a mono-spore and stored it at&#x02212;20&#x000B0;C. We kept the fungus in a glycerol solution in aliquots of 45 &#x003BC;l and we multiplied it by transplanting aliquots on a petri dish containing V8 agar, medium based on vegetable juice, 2 weeks before conducting the infection experiment that required a spore suspension. We counted the number of spores of a dilution 1/10 of the mother solution on a Malassez cell under a microscope to estimate the spore concentration of the suspension. We verified the spore viability for each suspension on a PDA culture medium.</p>
<p>We tested the fruit susceptibility to brown rot infection on 633 and 917 fruits, respectively in 2014 and 2015. We measured cheek fruit diameter (FD), we disinfected fruits in a water bath at 55&#x000B0;C for 40 s. We put the fruits in acrylic plastic boxes placed in a growth chamber (8 h of darkness at 18&#x000B0;C and 16 h of light at 24&#x000B0;C) and we deposed a 10 &#x003BC;l drop of a suspension of <italic>M. laxa</italic> at 10<sup>5</sup> spores ml<sup>&#x02212;1</sup> on each fruit. We guaranteed high humidity (relative humidity of 100%) in the boxes by adding cups of water and closing them. We recorded the infection status (healthy or infected) of each fruit after 6 days.</p>
</sec>
<sec>
<title>Statistical analysis</title>
<p>We estimated the average growth rate of fruits, subject to different thinning treatments, via a linear regression of observed FD vs. fruit age. We tested for differences in fruits growth rates among treatments by analyzing the differences in the slope coefficient of the linear regressions using a randomization test procedure (Hesterberg et al., <xref ref-type="bibr" rid="B17">2003</xref>). See Supporting Information A1.1 for details. In addition, to test the difference in fruits growth rate among treatments, we tested for slope coefficients difference of the linear regressions FD vs. fruit age using the correct statistical test (CST) for the equality of regression coefficients (Paternoster et al., <xref ref-type="bibr" rid="B28">1998</xref>). To be sure that possible differences in fruit growth rates were due to thinning treatments, we tested for differences in fruit sizes, between thinning treatments, at different sampling dates using the non-parametric Wilcoxon-Mann Whitney test for non-paired samples (Bauer, <xref ref-type="bibr" rid="B1">1972</xref>) and the parametric two samples <italic>t</italic>-Student test for non-paired samples (Rice, <xref ref-type="bibr" rid="B29">2006</xref>).</p>
<p>We assumed the probability <italic>P</italic> of a fruit of being susceptible to brown rot infection to be a logistic function of the FD with maximum value equal to one:</p>
<disp-formula id="E"><label>(1)</label><mml:math id="M"><mml:mrow><mml:mi>P</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>F</mml:mi><mml:mi>D</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>b</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>F</mml:mi><mml:mi>D</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>
<p>where <italic>a</italic> is a shape parameter and <italic>b</italic> is a semi-saturation constant. We assessed these two parameters in 2014 and 2015 samples by minimizing the sum of squared errors SSE between the probability of being susceptible predicted by the model (Equation 1) and those observed in the laboratory.</p>
<p>In the 2014 season, when the infection took place in the orchard, we tested for difference in the brown rot incidence among thinning treatments, at different times, using a randomization test procedure. See Supporting Information A1.2 for details.</p>
<p>We assumed that brown rot can spread if favorable meteorological conditions are met in the period of fruit susceptibility. We assumed a fruit to be susceptible to infection from the time <italic>t</italic><sub>i</sub> at which <italic>P</italic>(FD) &#x0003D; 0.1, with FD assumed to be a linear function of time, until the time of fruit harvest <italic>t</italic><sub>H</sub>. We assumed as favorable those days when precipitations occurred and mean temperature was comprehended between 22 and 26&#x000B0;C in accordance to previous studies indicating that conidia reproduction preferably occurs in wet conditions (Tamm and Fl&#x000FC;ckiger, <xref ref-type="bibr" rid="B30">1993</xref>; Xu and Robinson, <xref ref-type="bibr" rid="B33">2000</xref>; Gell et al., <xref ref-type="bibr" rid="B13">2008</xref>; Holb, <xref ref-type="bibr" rid="B18">2008</xref>) and that it is impaired at &#x0201C;extreme&#x0201D; temperatures that are likely to be met in those days with mean daily temperature &#x0003C; 22 or &#x0003E;26&#x000B0;C (Tamm and Fl&#x000FC;ckiger, <xref ref-type="bibr" rid="B30">1993</xref>; Holb, <xref ref-type="bibr" rid="B18">2008</xref>). Eventually we computed how many favorable days for brown rot spreading occurred in 2014 and 2015, (i.e., number of rainy days with mean temperature between 22 and 26&#x000B0;C in the time period <italic>t</italic><sub>i</sub>-<italic>t</italic><sub>h</sub>).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>Thinning practices and fruit growth</title>
<p>Temporal variation of FD is well described by a linear model (Figure <xref ref-type="fig" rid="F1">1</xref>), for all thinning treatments (<italic>r</italic><sup>2</sup> &#x0003D; 0.92, 0.93, 0.94, respectively for null, moderate and intense TI in 2014; and <italic>r</italic><sup>2</sup> &#x0003D; 0.81 and 0.83 for null and intense TI in 2015). Growth rates of FD varied between (4.76&#x02013;5.67) &#x000D7; 10<sup>&#x02212;2</sup> cm day<sup>&#x02212;1</sup> in 2014 and (5.13&#x02013;6.24) &#x000D7; 10<sup>&#x02212;2</sup> cm day<sup>&#x02212;1</sup> in 2015. In 2014, the randomization test indicate that fruits on thinned trees (both moderate and intense TI) grew faster than on non-thinned ones (<italic>p</italic> &#x0003C; 0.01) while there was no significant difference between moderate and intense TI (<italic>p</italic> &#x0003D; 0.21). Also the correct CST for the equality of regression coefficients confirmed a difference in the fruit growth rates: thinned trees (both moderate and intense TI) grew faster than non-thinned ones (<italic>P</italic> &#x0003C; 0.01) and intensively thinned ones grew faster than moderately thinned ones (<italic>P</italic> &#x0003C; 0.01). Similarly, in 2015, fruits on thinned trees grew faster than non-thinned ones (<italic>P</italic> &#x0003C; 0.01 for both randomization and CST). Differences in the average FD between thinned and non-thinned trees became evident 2 weeks after the thinning date (JD 136 in 2014 and JD 153 in 2015, see Figures <xref ref-type="supplementary-material" rid="SM1">A1</xref>, <xref ref-type="supplementary-material" rid="SM1">A2</xref> in Supplementary Materials) (<italic>P</italic> &#x0003C; 0.01 for both wilcox and <italic>t</italic>-test) (See Figures <xref ref-type="supplementary-material" rid="SM1">A3</xref>, <xref ref-type="supplementary-material" rid="SM1">A4</xref> in Supplementary Materials). We found no significant difference between moderate and intense TI in 2014 (See Figure <xref ref-type="supplementary-material" rid="SM1">A3</xref> in Supplementary Materials).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Observed fruit diameters (FD) at different sampling dates relevant to trees subject to different thinning treatments (i.e., null, moderate, and intense thinning intensity, that correspond to leaving almost 25, 6, and 3 fruits per meter of fruit bearing shoot). The black line represents the linear regression of the FD (cm) vs. Julian Day. Estimated average fruit growth rate in diameter is reported in each panel.</p></caption>
<graphic xlink:href="fevo-05-00170-g0001.tif"/>
</fig>
</sec>
<sec>
<title>Fruit size and susceptibility to brown rot infection in the laboratory</title>
<p>The logistic function (parameters <italic>a</italic> &#x0003D; &#x02212;1.3, <italic>b</italic> &#x0003D; 6.1 for the 2014 and <italic>a</italic> &#x0003D; &#x02212;1.5, <italic>b</italic> &#x0003D; 5.95 for the 2015) well explained the variability in the fraction of susceptible fruits as a function of FD with a probability of being susceptible &#x0003E;10% for FD equal to 4.4 and 4.8 cm in the 2014 and 2015. According to the calibrated growth curves, such critical sizes had been attained at <italic>t</italic><sub>i</sub> &#x0003D; 175 and <italic>t</italic><sub>i</sub> &#x0003D; 185, respectively in 2014 and 2015. Accordingly, resistant fruits had significantly lower FD (non-paired Wilcoxon-Mann Whitney test, <italic>p</italic> &#x0003C; 0.001 in both 2014 and 2015) than susceptible ones (3.83 vs. 5.02 cm in 2014 and 3.28 vs. 4.7 cm in 2015). Frequency density distributions of resistant and susceptible fruits as a function of FD are reported in Figure <xref ref-type="fig" rid="F2">2</xref>.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Results from laboratory infections. <bold>Left</bold>: Fraction of susceptible fruits as a function of the fruit diameter (FD). <bold>Right</bold>: Frequency density distribution of resistant and susceptible fruits as a function of the FD (cm). The pattern is well described by the logistic function [1 &#x0002B; <italic>e</italic><sup><italic>a</italic>(<italic>b</italic>&#x02212;<italic>FD</italic>)</sup>]<sup>&#x02212;1</sup> with parameters <italic>a</italic> &#x0003D; &#x02212;1.3, <italic>b</italic> &#x0003D; 6.1 for the 2014 and <italic>a</italic> &#x0003D; &#x02212;1.5, <italic>b</italic> &#x0003D; 5.95 for the 2015.</p></caption>
<graphic xlink:href="fevo-05-00170-g0002.tif"/>
</fig>
</sec>
<sec>
<title>Brown rot incidence in the field</title>
<p>Temporal variations of the brown rot incidence in fruits subject to different TI are reported in Figure <xref ref-type="fig" rid="F3">3</xref> (See Figure <xref ref-type="supplementary-material" rid="SM1">A5</xref> in Supplementary Materials). First infected fruits were observed at JD 170, 19th June, in both years, but the disease spread in 2014 while it did not in 2015. In 2014 almost any fruit was infected at the harvest time but, during the growth season, temporal dynamics of brown rot incidence differed between thinning treatments with higher prevalence in trees subject to moderate TI (<italic>P</italic> &#x0003C; 0.01). No difference was found between the null and the intense TI (<italic>p</italic> &#x0003D; 0.2) and difference was not highly significant between the moderate and intense thinning (<italic>p</italic> &#x0003D; 0.08). In 2015 brown rot did not spread and its incidence was lower than 8%, all over the season, whatever the TI.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Brown rot incidence (fraction of infected fruits) on monitored fruits of peach <italic>Prunus persica</italic> trees, during the vegetative season after the date of thinning (e.g., JD 136 for 2014 and JD 153 for 2015), in an orchard non-treated with fungicide. Circles: 2014 data; triangles: 2015 data.</p></caption>
<graphic xlink:href="fevo-05-00170-g0003.tif"/>
</fig>
<p>According to our criteria for brown rot spreading, we identified 9 favorable days in the period 173-196 JD in 2014 and none in the period 185&#x02013;209 in 2015 according to the meteorological records reported in Figure <xref ref-type="fig" rid="F4">4</xref>.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Rain (mm) and average daily temperature T (&#x000B0;C) along Julian day left column. We found 9 favorable days in 2014 and 0 in 2015 for brown rot spreading (rainy and 22 &#x0003C; T &#x0003C; 26&#x000B0;C) for the two seasons experiment during the window of fruits susceptibility (JD 173&#x02013;198 in 2014 and 185&#x02013;209 in 2015).</p></caption>
<graphic xlink:href="fevo-05-00170-g0004.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>Our results confirm the efficacy of fruit load control practices in affecting fruit growth rates. This is not surprising and in accordance with previous findings, not only on peaches, showing that a lower crop load releases fruit competition for resources and induces higher growth rates in the remaining fruits (Burge et al., <xref ref-type="bibr" rid="B6">1987</xref>; DeJong and Grossman, <xref ref-type="bibr" rid="B10">1995</xref>; Berman and DeJong, <xref ref-type="bibr" rid="B2">1997</xref>; Miras-Avalos et al., <xref ref-type="bibr" rid="B25">2013</xref>).</p>
<p>The analysis of laboratory data indicated that fast growing and bigger fruits are more susceptible to brown rot infection. Our results are in agreement with those obtained by Gibert et al. (<xref ref-type="bibr" rid="B14">2009</xref>) who found a relationship between the fruit size and its susceptibility to brown rot infection. In the case of high growth rates, it is likely that the pulp expansion rate exceeds the cuticle expansion rate (Gibert et al., <xref ref-type="bibr" rid="B16">2005</xref>) and results in cuticular cracking which makes fruits more susceptible to the brown rot infection. A similar pattern seems to hold for different fruit tree species (Fourie and Holz, <xref ref-type="bibr" rid="B12">2003</xref>) as pre-harvest cuticle cracks, due to rapid cuticular cells expansion, have been suggested to facilitate the infection by <italic>Monilinia</italic> spp. also in the sweet cherry (B&#x000F8;rve and Sekse, <xref ref-type="bibr" rid="B5">2000</xref>); and a positive relationship between the crack surface and the susceptibility to fungal disease has been documented in prune (Michailides and Morgan, <xref ref-type="bibr" rid="B24">1997</xref>) and litchis (Underhill and Simons, <xref ref-type="bibr" rid="B31">1993</xref>).</p>
<p>However, the analysis of field data indicated that brown rot incidence during the growing season is maximum in moderately thinned trees and not in the intensively thinned ones, which display the highest growth rates. Such an apparently counterintuitive result can be explained by the epidemiological theory (see Madden et al., <xref ref-type="bibr" rid="B22">2007</xref> for an overview on plant disease epidemics). In fact, the probability of a fruit to become infected, and infectious, is a joint probability of being susceptible to the infection, which depends on the fruit growth rate, and to be exposed to the pathogen, which depend on the abundance and proximity of infectious fruits. On the one side, increasing TI generates fruits with higher cuticle crack surface, but, on the other side, it decreases fruit density and augment average distance among fruits hence decreasing the probability of a fruit to be exposed to secondary inoculum. Such a conceptual scheme is graphically scratched in Figure <xref ref-type="fig" rid="F5">5</xref>. However, the consequences of a given value of TI on the effective yield should be observed in experimental orchards with all the trees subject to the same TI as simulated in Bevacqua et al. (<xref ref-type="bibr" rid="B3">2017</xref>) Since the laboratory data showed that fruits were susceptible to infection also in the year 2015 (see Figure <xref ref-type="fig" rid="F2">2</xref>) and the thinning treatments were similar to those of the previous year, we argue that the brown rot did not spread in 2015 due to the absence of favorable environmental conditions for spore germination and reproduction. The indicator of favorable conditions for brown rot spreading that we proposed gives a value of 9 in 2014 and 0 in 2015 hence providing a rough quantification of the difference in the disease risk in the 2 years. Similar indicators are very useful as they can help in reducing fungicide treatments by concentrating them in the most critical periods or they can be used to foresee unexpected consequences of possible climate changes (Launay et al., <xref ref-type="bibr" rid="B20">2014</xref>). In order to test the validity of such an indicator one would need several years of records of temperature, precipitations and brown rot prevalence in orchards not treated with fungicide. In present work we simply searched for a possible reason explaining the absence of infection in 2015. Although the definition of a novel indicator of brown rot risk was out of the aim of present work, we are confident that our result can inspire further research.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Qualitative scratch of the effect of the thinning intensity (TI) on the probability of infection (PI) of the host fruit. The probability <italic>P</italic><sub>1</sub> that an airborne spore produced by an infectious fruit is deposited on a susceptible fruit decreases with TI that decreases fruit density; the probability <italic>P</italic><sub>2</sub> that a fruit in contact with <italic>Monilinia</italic> spp. spores develops infection increases with TI since lower fruit density determines higher fruit growth rates and cuticle cracking; the probability of an healthy fruit to become infectious (PI) results from the product <italic>P</italic><sub>1</sub> &#x000D7; <italic>P</italic><sub>2</sub> that is a concave function of TI.</p></caption>
<graphic xlink:href="fevo-05-00170-g0005.tif"/>
</fig>
</sec>
<sec id="s5">
<title>Author contributions</title>
<p>MB: analyzed data, conceived and wrote the paper; BQ-T: performed lab experiment and wrote the paper; DB: performed experiment, analyzed data, conceived, and wrote the paper; LO: lab analyses.</p>
<sec>
<title>Conflict of interest statement</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>
</body>
<back>
<ack>
<p>This work has been partly carried out as part of the INRA Metaprogramme ACCAF (project 429 CLIF) and the ECOVERGER project funded by ONEMA within the call APR &#x0201C;resistance et 430 pesticides&#x0201D; managed by MEDDE French Ministry. This research was supported by the CLIF ACCAF project. We thank Signoret V., Leon I., and Tran A. for field work. We are grateful to the IEUMR1114 team for taking care of the experimental orchard.</p>
</ack>
<sec sec-type="supplementary-material" id="s6">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fevo.2017.00170/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fevo.2017.00170/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table1.DOCX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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<fn fn-type="financial-disclosure"><p><bold>Funding.</bold> This research was supported by the CLIF ACCAF and ECOVERGER projects.</p>
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