<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OJE</journal-id><journal-title-group><journal-title>Open Journal of Ecology</journal-title></journal-title-group><issn pub-type="epub">2162-1985</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/oje.2021.117034</article-id><article-id pub-id-type="publisher-id">OJE-110649</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Earth&amp;Environmental Sciences</subject></subj-group></article-categories><title-group><article-title>
 
 
  Influence of Spatial Distribution on the Regeneration of &lt;i&gt;Piptadeniastrum africanum&lt;/i&gt; and &lt;i&gt;Ocotea usambaernsis&lt;/i&gt; in Kalikuku, Lubero, North Kivu, Democratic Republic of Congo
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lutumba</surname><given-names>Suika Achille</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kebin</surname><given-names>Zhang</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kambale</surname><given-names>Muhesi Eloge</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Christian</surname><given-names>Jonathan Anona Kouassi</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mbangilwa</surname><given-names>Mukombe Michel</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>College of Soil and Water Conservation, and Desertification Combating, Beijing Forestry University, Beijing, China</addr-line></aff><aff id="aff2"><addr-line>Institut Supérieur d’Etudes Agronomiques, Vétérinaires et Forestières de Butembo, Butembo, Democratic Republic of Congo</addr-line></aff><aff id="aff3"><addr-line>Key Laboratory of Sustainable Forest Ecosystem Management, Ministry of Education, School of Forestry, Northeast Forestry University, Harbin, China</addr-line></aff><pub-date pub-type="epub"><day>14</day><month>07</month><year>2021</year></pub-date><volume>11</volume><issue>07</issue><fpage>527</fpage><lpage>539</lpage><history><date date-type="received"><day>18,</day>	<month>June</month>	<year>2021</year></date><date date-type="rev-recd"><day>17,</day>	<month>July</month>	<year>2021</year>	</date><date date-type="accepted"><day>20,</day>	<month>July</month>	<year>2021</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The aim of our study is to highlight the spatial structure of the trees and to determine its influence on the natural regeneration of the Kalikuku dense forest, with a view of its optimal conservation and enhancement. Data collection was done by measuring diameter at breast height along 10 plots of 0.5 ha in size. In analyzing these data, the Dajoz test was used to determine the horizontal spatial distribution pattern of the two most abundant tree species in the forest (
  <em>Piptadeniastrum africanum</em> and 
  <em>Ocotea usambarensis)</em>. The 
  <em>χ</em>
  <sup>2</sup> test was used to compare the frequency distribution of diameter classes for the two species tested. To estimate the difference between the number of seedlings in aggregate versus non-aggregate areas, the Wilcoxon signed-rank test was used. In addition, the equability index was used to test the preponderance of proportions between diameter classes. Finally, the natural regeneration index was evaluated.
 
</p></abstract><kwd-group><kwd>Spatial Distribution</kwd><kwd> Natural Regeneration</kwd><kwd> Seedlings</kwd><kwd> Diameter Class</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>In a forest, the spatial structure of the trees depends on their density and horizontal distribution, which can be random, aggregated or uniform [<xref ref-type="bibr" rid="scirp.110649-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref2">2</xref>]. Natural regeneration is achieved by vegetative propagation through offshoots from existing stumps and by germination of seeds from mature trees [<xref ref-type="bibr" rid="scirp.110649-ref3">3</xref>].</p><p>[<xref ref-type="bibr" rid="scirp.110649-ref4">4</xref>] shows that spatial structure and natural regeneration of trees are intimately linked and play an important role in forest dynamics. In addition, human disturbances affect the spatial structure and natural regeneration of trees.</p><p>Regeneration is therefore the basis of the dynamic and demographic balance of plant populations, ensuring the renewal of individuals and the sustainability of species [<xref ref-type="bibr" rid="scirp.110649-ref5">5</xref>].</p><p>These are the uncontrolled removal of forest resources, extensive agriculture and forest fires that [<xref ref-type="bibr" rid="scirp.110649-ref6">6</xref>] and [<xref ref-type="bibr" rid="scirp.110649-ref7">7</xref>] consider being the most harmful given the frequency and extent that they affect in a short period of period.</p><p>The present study focuses on the dense forest of Kalikuku Reserve, which has enjoyed “protected area” (Nature Reserve) status since 1952 [<xref ref-type="bibr" rid="scirp.110649-ref8">8</xref>].</p><p>As this forest is surrounded by the villages of Vwandanze, Kimbulu and the agglomeration of Lubero, the local populations cannot help but illegally harvest the various forest resources they need. Its conservation is thus compromised. In development and sustainable management of natural forest ecosystems and the Kalikuku dense forest in particular, this study is therefore necessary.</p><p>The central hypothesis to be tested in this research is that the spatial distribution pattern of the trees influences the natural regeneration of Kalikuku dense forest.</p><p>The aim of this study is multiple. The main purpose is to determine the density of trees in the Kalikuku dense forest, to analyze their horizontal spatial distribution, to show the effect of the spatial pattern found on the number of seedlings and to evaluate the state of natural regeneration of the main tree species, in this case the first two most abundant tree species in this forest.</p></sec><sec id="s2"><title>2. Methods</title><sec id="s2_1"><title>2.1. Study Site</title><p>Geographically, the Kalikuku Forest Reserve is located 7 km from the chief town of Lubero Territory, Baswagha Chiefdom, Lubero Territory, North Kivu Province in the Democratic Republic of Congo. It extends to the West on the Butembo - Goma road, in the Luongo Grouping with an updated surface area of 89 ha, Diversity Components: Richness = 4 Evenness = 0.21 (<xref ref-type="fig" rid="fig1">Figure 1</xref> [<xref ref-type="bibr" rid="scirp.110649-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref11">11</xref>] ).</p><p>Like Lubero and its surroundings, this reserve is between 29˚30' Longitude East, 00˚30' Latitude South, with an altitude varying between 1830 m and 2000 m, thus forming part of the highlands of Lubero territory [<xref ref-type="bibr" rid="scirp.110649-ref12">12</xref>].</p><p>The dense forest of Kalikuku enjoys a tropical climate of Af type [<xref ref-type="bibr" rid="scirp.110649-ref13">13</xref>]. It covers an area of approximately 89 ha spread over a hilly terrain whose highest peak reaches 2000 m. The soils of the Beni-Lubero region are derived from the bedrock that is mostly clayey. It appears from this work that the soils of the highlands</p><p>in the extreme of North Kivu are essentially clayey and weakly ferritic, crystalline terrains of the Lower Cambrian [<xref ref-type="bibr" rid="scirp.110649-ref14">14</xref>].</p><p>These different streams are: Kalikuku, Lusimi, Makanga, Kyamasamba, Kihuko, Mupa, and Vwandanzi stream. The average annual rainfall is 1750 mm [<xref ref-type="bibr" rid="scirp.110649-ref15">15</xref>].</p></sec><sec id="s2_2"><title>2.2. Sampling Method</title><p>To establish the list of tree species and their density in Kalikuku dense forest, data collection was carried out by measuring diameter at breast height (dhp). However, only data with dhp ≥ 10 cm [<xref ref-type="bibr" rid="scirp.110649-ref16">16</xref>] were kept for further analysis under [<xref ref-type="bibr" rid="scirp.110649-ref17">17</xref>]. These measurements were made along 10 plots spread over a 2000 m long layon through the forest in agreement with [<xref ref-type="bibr" rid="scirp.110649-ref18">18</xref>]. The width of a plot is 20 m while the length was 250 m. For each plot, counts of seedlings (dhp &lt; 10 cm) of each of the more abundant tree species were also made in aggregate (A) and non-aggregate (B) areas. Next, we counted the number of tree seedlings in all plots for the respective species.</p><p>Thus, the seedling count was conducted in these two plots to have paired or matched samples. The identification of tree species was based on the nomenclature of [<xref ref-type="bibr" rid="scirp.110649-ref19">19</xref>].</p></sec><sec id="s2_3"><title>2.3. Data Analysis Method</title><p>In terms of the horizontal spatial distribution of trees, [<xref ref-type="bibr" rid="scirp.110649-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref2">2</xref>] distinguish three horizontal spatial models: the random horizontal spatial model when, given the location of an individual, the probability that another individual will be found in its vicinity is unaffected; the aggregated horizontal spatial model when this probability is increased; and the uniform horizontal spatial model when this probability is reduced. In this study, the horizontal spatial distribution model of the trees was tested and confirmed by the method of [<xref ref-type="bibr" rid="scirp.110649-ref20">20</xref>] (Da) adapted to small samples. This test was applied based on the number of trees counted on an equal inventory area for all 10 plots (10 = pn). Further analysis was given by the values of λ = 2 σ/m; 2 σ being the variance and m the arithmetic mean. With a uniform distribution, λ &lt; 1; in a random distribution λ ≈ 1; and in an aggregated distribution, λ &gt; 1.</p><p>The value of λ varies, for a probability rate, between confidence limits that are a function of the number of samples np. The deviation from unity of λ is significant for α = 0.05 where Da &gt; β (in this case, Da = λ − 1 and β = 2 ( 2 &#215; n p ) &#215; ( n p − 1 ) − 1 = 0.9 ).</p><p>The effect of aggregates on the number of seedlings was determined using the Wilcoxon signed-rank test (W) [<xref ref-type="bibr" rid="scirp.110649-ref21">21</xref>]. This test is most appropriate for comparing paired or paired numbers in this case, the numbers of tree seedlings counted in aggregate and non-aggregate areas of the same transect.</p><p>Regeneration status was determined by analyzing the diametric distribution of individual trees into diameter classes according to the [<xref ref-type="bibr" rid="scirp.110649-ref16">16</xref>] rule. To test this state, the equitability index (R) and the χ<sup>2</sup> test were applied [<xref ref-type="bibr" rid="scirp.110649-ref21">21</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref22">22</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref23">23</xref>]. The value of R is given by the formula below [Equation (1)]:</p><p>R = H / H max (1)</p><p>where H corresponds to the Shannon-Weaver diversity index (observed diversity)</p><p>H<sub>max</sub> corresponds to the theoretical maximum diversity calculated assuming frequency of biological traits.</p><p>Finally, the value of the natural regeneration index (Rn) was determined by the ratio of the proportion of seedlings (dhp &lt; 10 cm) to other three individuals (dhp ≥ 10 cm). According to [<xref ref-type="bibr" rid="scirp.110649-ref24">24</xref>], if the value of this index is less than unity, the population is in deficit; if it is greater than or equal to unity; the population is balanced, i.e., in terms of the distribution of tree individuals in diameter classes, the numbers continue to decrease as one moves from the lower to the higher diameter class.</p></sec></sec><sec id="s3"><title>3. Results</title><p><xref ref-type="fig" rid="fig2">Figure 2</xref> illustrates the evolution of NDVI, EVI and LST of day and night in Kalikuku reserve from 2000 to 2021 dominated by a woody savanna.</p><sec id="s3_1"><title>3.1. Analysis of Tree Species Density in Kalikuku Dense Forest</title><p>In Kalikuku Dense Forest, 2169 individual trees of 30 species were identified. <xref ref-type="table" rid="table1">Table 1</xref> and <xref ref-type="fig" rid="fig3">Figure 3</xref> present the list and density of these identified species. The average density of trees in Kalikuku dense forest is 541 feet/ha. The two most represented species are Piptadeniastrumafricanum and Ocoteausambarensis, whose relative abundance is 20.3% and 17% respectively, with a density of 439 and 311 trees/ha, respectively.</p></sec><sec id="s3_2"><title>3.2. Analysis of the Horizontal Spatial Distribution Pattern of Trees</title><p><xref ref-type="table" rid="table2">Table 2</xref> shows the number of individual trees for each of the three most abundant species on the same 0.5 ha inventory area in the 10 plots surveyed. It also</p><table-wrap-group id="1"><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> List of tree species identified and their density in Kalikuku dense forest. N: number of trees per species; Da: density (number of trees/ha)</title></caption><table-wrap id="1_1"><table><tbody><thead><tr><th align="center" valign="middle" >Species</th><th align="center" valign="middle" >N</th><th align="center" valign="middle" >%</th><th align="center" valign="middle" >Da</th></tr></thead><tr><td align="center" valign="middle" >Albizia gummifera</td><td align="center" valign="middle" >68.0</td><td align="center" valign="middle" >3.1</td><td align="center" valign="middle" >14</td></tr><tr><td align="center" valign="middle" >Anthochleista grandifolia</td><td align="center" valign="middle" >6.0</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >2</td></tr><tr><td align="center" valign="middle" >Beilshimedia oblogifolia</td><td align="center" valign="middle" >6.0</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >2</td></tr><tr><td align="center" valign="middle" >Bersama abyssinica</td><td align="center" valign="middle" >5.0</td><td align="center" valign="middle" >0.2</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle" >Bosquiea phoberi</td><td align="center" valign="middle" >13.0</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >3</td></tr></tbody></table></table-wrap><table-wrap id="1_2"><table><tbody><thead><tr><th align="center" valign="middle" >Bridelia micrantha</th><th align="center" valign="middle" >8.0</th><th align="center" valign="middle" >0.4</th><th align="center" valign="middle" >2</th></tr></thead><tr><td align="center" valign="middle" >Carapa procera</td><td align="center" valign="middle" >236.0</td><td align="center" valign="middle" >10.9</td><td align="center" valign="middle" >59</td></tr><tr><td align="center" valign="middle" >Cathas edulis</td><td align="center" valign="middle" >125.0</td><td align="center" valign="middle" >5.8</td><td align="center" valign="middle" >31</td></tr><tr><td align="center" valign="middle" >Cyanthea manii</td><td align="center" valign="middle" >111.0</td><td align="center" valign="middle" >5.1</td><td align="center" valign="middle" >28</td></tr><tr><td align="center" valign="middle" >Dialium corbisieri</td><td align="center" valign="middle" >212.0</td><td align="center" valign="middle" >9.8</td><td align="center" valign="middle" >53</td></tr><tr><td align="center" valign="middle" >Ficalhoa laurifolia</td><td align="center" valign="middle" >66.0</td><td align="center" valign="middle" >3.1</td><td align="center" valign="middle" >17</td></tr><tr><td align="center" valign="middle" >Grewia milbraedii</td><td align="center" valign="middle" >42.0</td><td align="center" valign="middle" >1.9</td><td align="center" valign="middle" >11</td></tr><tr><td align="center" valign="middle" >Hallea robrostipulata</td><td align="center" valign="middle" >12.0</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >Ilex mitis</td><td align="center" valign="middle" >23.0</td><td align="center" valign="middle" >1.1</td><td align="center" valign="middle" >6</td></tr><tr><td align="center" valign="middle" >Maythenus acuminatus</td><td align="center" valign="middle" >32.0</td><td align="center" valign="middle" >1.5</td><td align="center" valign="middle" >8</td></tr><tr><td align="center" valign="middle" >Musanga cecropioides</td><td align="center" valign="middle" >11.0</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >Myrianthus holstii</td><td align="center" valign="middle" >12.0</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >Ocotea usambarensis</td><td align="center" valign="middle" >381.0</td><td align="center" valign="middle" >17.6</td><td align="center" valign="middle" >95</td></tr><tr><td align="center" valign="middle" >Paramacrolobium coerulum</td><td align="center" valign="middle" >36.0</td><td align="center" valign="middle" >1.7</td><td align="center" valign="middle" >9</td></tr><tr><td align="center" valign="middle" >Parinaria holstii</td><td align="center" valign="middle" >56.0</td><td align="center" valign="middle" >2.6</td><td align="center" valign="middle" >14</td></tr><tr><td align="center" valign="middle" >Pentadesma lebrunii</td><td align="center" valign="middle" >68.0</td><td align="center" valign="middle" >3.1</td><td align="center" valign="middle" >17</td></tr><tr><td align="center" valign="middle" >Piptadenia africanum</td><td align="center" valign="middle" >439.0</td><td align="center" valign="middle" >20.3</td><td align="center" valign="middle" >110</td></tr><tr><td align="center" valign="middle" >Polyscias fulva</td><td align="center" valign="middle" >65.0</td><td align="center" valign="middle" >3.0</td><td align="center" valign="middle" >16</td></tr><tr><td align="center" valign="middle" >Rapanea melonophloeria</td><td align="center" valign="middle" >45.0</td><td align="center" valign="middle" >2.1</td><td align="center" valign="middle" >11</td></tr><tr><td align="center" valign="middle" >Sapium ellipticum</td><td align="center" valign="middle" >21.0</td><td align="center" valign="middle" >1.0</td><td align="center" valign="middle" >5</td></tr><tr><td align="center" valign="middle" >Syzygium guinense</td><td align="center" valign="middle" >11.0</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >Tabernaemontana</td><td align="center" valign="middle" >6.0</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >2</td></tr><tr><td align="center" valign="middle" >Trema guineensis</td><td align="center" valign="middle" >2.0</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle" >Vepris stolgii</td><td align="center" valign="middle" >12.0</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >Xymalos monospora</td><td align="center" valign="middle" >32.0</td><td align="center" valign="middle" >1.5</td><td align="center" valign="middle" >8</td></tr><tr><td align="center" valign="middle" >Total</td><td align="center" valign="middle" >2163.0</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >541</td></tr></tbody></table></table-wrap></table-wrap-group><p>shows the test of the horizontal spatial distribution model according to [<xref ref-type="bibr" rid="scirp.110649-ref25">25</xref>] (Da). Individuals of the main tree species in Kalikuku dense forest are spatially distributed according to the aggregated model. Indeed, λ &gt; 1 for all three species tested. For α = 0.05, this deviation from unity is significant given that Da values are well above β, i.e. Da &gt; 0.9 (<xref ref-type="table" rid="table2">Table 2</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref>).</p></sec><sec id="s3_3"><title>3.3. Comparison of Seedling Numbers in Aggregate and Non-Aggregate Areas</title><p><xref ref-type="table" rid="table3">Table 3</xref> and <xref ref-type="fig" rid="fig5">Figure 5</xref> present the number of seedlings counted in aggregate and non-aggregate areas for the three most abundant tree species in Kalikuku dense forest (Piptadeniastrumafricana and Ocoteausambarensis). Seedlings are more abundant in aggregate areas than in non-aggregate areas. This difference is confirmed by the Wilcoxon signed-rank test (W) which shows that for both species tested, the value of W is less than the value of W0.05 = 17. Thus, there is a significant difference between the number of seedlings in aggregate and non-aggregate areas. The influence of spatial structure on the natural regeneration of Kalikuku dense forest is therefore confirmed.</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Number of individuals for the three most abundant two species in Kalikuku Forest. χ<sup>1</sup> to χ<sup>10</sup>: number of individuals; λ: ratio of variance to arithmetic mean; Da: test for horizontal spatial distribution model</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Species/Plot</th><th align="center" valign="middle" >χ<sup>1</sup></th><th align="center" valign="middle" >χ<sup>2</sup></th><th align="center" valign="middle" >χ<sup>3</sup></th><th align="center" valign="middle" >χ<sup>4</sup></th><th align="center" valign="middle" >χ<sup>5</sup></th><th align="center" valign="middle" >χ<sup>6</sup></th><th align="center" valign="middle" >χ<sup>7</sup></th><th align="center" valign="middle" >χ<sup>8</sup></th><th align="center" valign="middle" >χ<sup>9</sup></th><th align="center" valign="middle" >χ<sup>10</sup></th><th align="center" valign="middle" >λ</th><th align="center" valign="middle" >Da</th></tr></thead><tr><td align="center" valign="middle" >Piptadeniastrum africanum</td><td align="center" valign="middle" >58</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >65</td><td align="center" valign="middle" >48</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >24</td><td align="center" valign="middle" >43</td><td align="center" valign="middle" >85</td><td align="center" valign="middle" >11</td><td align="center" valign="middle" >84</td><td align="center" valign="middle" >9.9</td><td align="center" valign="middle" >8.9</td></tr><tr><td align="center" valign="middle" >Ocotea usambarensis</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >55</td><td align="center" valign="middle" >29</td><td align="center" valign="middle" >41</td><td align="center" valign="middle" >39</td><td align="center" valign="middle" >47</td><td align="center" valign="middle" >14</td><td align="center" valign="middle" >35</td><td align="center" valign="middle" >29</td><td align="center" valign="middle" >67</td><td align="center" valign="middle" >8.1</td><td align="center" valign="middle" >7.1</td></tr></tbody></table></table-wrap><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Number of seedlings in aggregate (A) and non-aggregate (B) areas</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="2"  >Piptadeniastrum africanum</th><th align="center" valign="middle"  colspan="2"  >Ocotea usambarensis</th></tr></thead><tr><td align="center" valign="middle" >A1</td><td align="center" valign="middle" >B1</td><td align="center" valign="middle" >A2</td><td align="center" valign="middle" >B2</td></tr><tr><td align="center" valign="middle" >53</td><td align="center" valign="middle" >29</td><td align="center" valign="middle" >26</td><td align="center" valign="middle" >15</td></tr><tr><td align="center" valign="middle" >21</td><td align="center" valign="middle" >13</td><td align="center" valign="middle" >14</td><td align="center" valign="middle" >6</td></tr><tr><td align="center" valign="middle" >34</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >35</td><td align="center" valign="middle" >18</td></tr><tr><td align="center" valign="middle" >21</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >34</td><td align="center" valign="middle" >13</td></tr><tr><td align="center" valign="middle" >43</td><td align="center" valign="middle" >14</td><td align="center" valign="middle" >11</td><td align="center" valign="middle" >15</td></tr><tr><td align="center" valign="middle" >16</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >38</td><td align="center" valign="middle" >11</td></tr><tr><td align="center" valign="middle" >34</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >6</td></tr><tr><td align="center" valign="middle" >53</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >23</td><td align="center" valign="middle" >9</td></tr><tr><td align="center" valign="middle" >19</td><td align="center" valign="middle" >8</td><td align="center" valign="middle" >38</td><td align="center" valign="middle" >21</td></tr><tr><td align="center" valign="middle" >39</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >31</td><td align="center" valign="middle" >11</td></tr><tr><td align="center" valign="middle" >296</td><td align="center" valign="middle" >143</td><td align="center" valign="middle" >186</td><td align="center" valign="middle" >195</td></tr><tr><td align="center" valign="middle"  colspan="2"  >W = 8.2</td><td align="center" valign="middle"  colspan="2"  >W = 7.5</td></tr></tbody></table></table-wrap></sec><sec id="s3_4"><title>3.4. Analysis of Natural Regeneration in Kalikuku Dense Forest</title><p>The values of the equitability index confirm that for both species, the seedling class (dhp &lt; 10 cm) contains more individuals than the other diameter classes. Indeed, this index is equivalent to R = 0.14 for Piptadeniastrumafricana and R = 0.12 for Ocoteausambarensis. Thus, the diameter class does not share equally the proportions of tree individuals because these values of the equitability index are close to zero. Furthermore, comparative analysis of the distribution of the proportions of the frequencies of the different diameter classes for the two tree species indicates that there is no significant difference as χ<sup>2</sup> = 3.1 (p &gt; 0.05). Furthermore, the values of the natural regeneration index reflect the state of equilibrium of the Kalikuku dense forest as they are greater than unity for all the species analyzed. Indeed, for Piptadeniastrumafricana, Rn = 2.6 and for Ocoteausambarensis, Rn = 1.1 (<xref ref-type="table" rid="table4">Table 4</xref> and <xref ref-type="fig" rid="fig6">Figure 6</xref>).</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Regeneration index values for the two most abundant two species in Kalikuku dense forest. Np: number of seedlings (dhp &lt; 10 cm); Na: number of mature trees (dhp ≥ 10 cm); Rn: natural regeneration index</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Species</th><th align="center" valign="middle" >Np</th><th align="center" valign="middle" >Na</th><th align="center" valign="middle" >Rn</th></tr></thead><tr><td align="center" valign="middle" >Piptadeniastrum africanum</td><td align="center" valign="middle" >319</td><td align="center" valign="middle" >120</td><td align="center" valign="middle" >2.6</td></tr><tr><td align="center" valign="middle" >Ocotea usambarensis</td><td align="center" valign="middle" >199</td><td align="center" valign="middle" >182</td><td align="center" valign="middle" >1.1</td></tr></tbody></table></table-wrap></sec></sec><sec id="s4"><title>4. Discussion</title><p>In the Kalikuku dense forest, the analysis of tree density confirms the observations of [<xref ref-type="bibr" rid="scirp.110649-ref26">26</xref>] on the preponderance of Piptadeniastrum,Carapa and Ocotea species in Afromontane forests. Furthermore, the density recorded (541 plants/ha) is lower than the average of 600 plants/ha observed in other dense forests of the Guineo-Congolese domain, notably by Lebrun [<xref ref-type="bibr" rid="scirp.110649-ref19">19</xref>]. This indicates that the Kalikuku forest is at a less advanced stage of evolution than those described by [<xref ref-type="bibr" rid="scirp.110649-ref27">27</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref28">28</xref>].</p><p>In fact, the younger the dense forest, the more it presents numerous shrubs that are not widely spaced, which is the opposite for an old stand with large, widely spaced trees. This density obtained remains, however, in the same order of magnitude generally obtained in tropical Africa where the density of trees in the various inventories varies between 368 and 645 feet/ha [<xref ref-type="bibr" rid="scirp.110649-ref29">29</xref>].</p><p>The distribution of trees in diameter classes follows a regularly decreasing trend, with a maximum in the first diameter classes. A similar conclusion was reached in the Dja Faunal Reserve in Cameroon by [<xref ref-type="bibr" rid="scirp.110649-ref29">29</xref>]. In nature, such a diametric distribution reflects a state of equilibrium [<xref ref-type="bibr" rid="scirp.110649-ref30">30</xref>], which is itself synonymous with good natural regeneration [<xref ref-type="bibr" rid="scirp.110649-ref5">5</xref>]. This shows that, thanks to the growth of numerous seedlings and via their recruitment into the higher diameter classes [<xref ref-type="bibr" rid="scirp.110649-ref31">31</xref>], the Kalikuku forest will be maintained.</p><p>The analysis of the horizontal spatial distribution by the test [<xref ref-type="bibr" rid="scirp.110649-ref20">20</xref>] shows that the individuals of the trees in Kalikuku dense forest are distributed in an aggregated way. This aggregated spatial structure in turn influences the state of natural regeneration in this forest. The state of balanced regeneration is confirmed by Rn values that are all above unity [<xref ref-type="bibr" rid="scirp.110649-ref24">24</xref>]. Ecologically, the observed aggregation of trees can be explained either by the variation or heterogeneity of environmental characteristics, or by the genetic characteristics and behavior of living beings of the same species that often tend to group together [<xref ref-type="bibr" rid="scirp.110649-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.110649-ref25">25</xref>]. In Kalikuku, the aggregated pattern of spatial distribution of trees is explained by variation in soil characteristics. The soil is silty in structure on the hilltops, whereas it is relatively deep and fine on the slopes and towards the lowlands.</p><p>In addition, the spatial structure determines the local environment around each tree (in particular the number of neighbors) and thus its growth conditions. This local environment modifies the expression of natural processes such as growth, mortality and regeneration of the stand; this can lead to a local monospecific composition [<xref ref-type="bibr" rid="scirp.110649-ref32">32</xref>]. This trend is confirmed for the Kalikuku dense forest in which all the two most abundant tree species are of different genera.</p><p>These authors point out that density is a particularly important concept in forest management because it provides information on the degree of occupation of space by the stand. In the case of the Kalikuku dense forest, the fact that there is a balance in natural regeneration means that it is not necessary to introduce other species for restocking. Furthermore, the density of 541 trees/ha is within the range known in tropical Africa [<xref ref-type="bibr" rid="scirp.110649-ref29">29</xref>]. However, this density of trees observed in the Kalikuku dense forest shows that there is intense competition between these trees for resources.</p><p>The behavior of the juvenile stage of the Kalikuku rainforest provides more information about the future of this ecosystem. Indeed, the regeneration of a tree species is subject to the density and spatial distribution of individuals [<xref ref-type="bibr" rid="scirp.110649-ref33">33</xref>]. Thus, the preponderant proportion of seedlings found in the Kalikuku dense forest is a sign of a balanced regeneration. This conclusion corroborates the observations of [<xref ref-type="bibr" rid="scirp.110649-ref34">34</xref>] - [<xref ref-type="bibr" rid="scirp.110649-ref40">40</xref>].</p></sec><sec id="s5"><title>5. Conclusion</title><p>We note that the aggregated horizontal spatial structure of the trees in the Kalikuku dense forest favors natural regeneration in a balanced state despite the many factors of disturbance of anthropic origin that are exerted on this ecosystem. The present analysis constitutes an important argument in favor of taking integral protection measures to maintain the good natural regeneration of this forest. It is therefore not possible to introduce species by reforestation in the Kalikuku dense forest. These protection measures would focus on maintaining the integrity of the forest, in particular by preserving it from any action that could disturb the spatial structure of the trees, such as logging and clearing.</p></sec><sec id="s6"><title>Funded</title><p>The paper was funded by “13.5” National Key Research Project No. 2016YFC0500908 in right place.</p></sec><sec id="s7"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s8"><title>Cite this paper</title><p>Achille, L.S., Zhang, K.B., Eloge, K.M., Kouassi, C.J.A. and Michel, M.M. (2021) Influence of Spatial Distribution on the Regeneration of Piptadeniastrumafricanum andOcotea usambaernsis in Kalikuku, Lubero, North Kivu, Democratic Republic of Congo. Open Journal of Ecology, 11, 527-539. https://doi.org/10.4236/oje.2021.117034</p></sec></body><back><ref-list><title>References</title><ref id="scirp.110649-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Bütler, R. (2000) Analyse de la distribution spatiale d’objets dans un paysage. Fiche d’enseignement, Laboratoire de gestion des écosystèmes (GECOS), Lausanne, 18 p.</mixed-citation></ref><ref id="scirp.110649-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Dale, M.R.T. (2000) Spatial Pattern Analysis in Plant Ecology. Cambridge University Press, 326 p. https://doi.org/10.1017/CBO9780511612589</mixed-citation></ref><ref id="scirp.110649-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Piug, H. (2001) Diversité spécifique et déforestation: Exemple des forêts tropicales humides du Mexique. Bois et forêts des tropiques, 268, 20-37. https://doi.org/10.19182/bft2001.268.a20102</mixed-citation></ref><ref id="scirp.110649-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">Vande Weghe, J.P. (2004) Forêts d’Afrique Centrale. La Nature et l’Homme. Editions Lannoo SA, Tielt-Belgique, 367 p.</mixed-citation></ref><ref id="scirp.110649-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">Boyemba (2006) Diversité et régénération des essences forestières exploitées dans les forêts des environs de Kisangani (RDC). Mémoire inédit, faculté des sciences, Université Libre de Bruxelles, Bruxelles, 101 p.</mixed-citation></ref><ref id="scirp.110649-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">Forman, R.T.T. and Godron, M. (1986) Landscape Ecology. John Wiley and Sons, New York, 619 p.</mixed-citation></ref><ref id="scirp.110649-ref7"><label>7</label><mixed-citation publication-type="book" xlink:type="simple">Bradstock, R.A., Williams, J.E. and Gill, A.M. (Eds.) (2002) Flammable Australia. The Fire Regimes and Biodiversity of a Continent. Cambridge University Press, Melbourne, 488 p.</mixed-citation></ref><ref id="scirp.110649-ref8"><label>8</label><mixed-citation publication-type="other" xlink:type="simple">Nduire (2007) La détermination de différentes contraintes de la production de la culture de ma&amp;#239;s en cité de Lubero et ses environs. Nordkivu, République Démocratique du Congo.</mixed-citation></ref><ref id="scirp.110649-ref9"><label>9</label><mixed-citation publication-type="other" xlink:type="simple">Oak Ridge National Laboratory (ORNL) DAAC (2018) MODIS and VIIRS Land Products Global Subsetting and Visualization Tool. Oak Ridge National Laboratory (ORNL) DAAC, Oak Ridge. https://doi.org/10.3334/ORNLDAAC/1379</mixed-citation></ref><ref id="scirp.110649-ref10"><label>10</label><mixed-citation publication-type="other" xlink:type="simple">Hulley, G. (2017) MOD21A2 MODIS/Terra Land Surface Temperature/3-Band Emissivity 8-Day L3 Global 1km SIN Grid V006. NASA EOSDIS Land Processes DAAC.</mixed-citation></ref><ref id="scirp.110649-ref11"><label>11</label><mixed-citation publication-type="other" xlink:type="simple">Didan, K. (2015) MOD13Q1 MODIS/Terra Vegetation Indices 16-Day L3 Global 250m SIN Grid V006. NASA EOSDIS Land Processes DAAC.</mixed-citation></ref><ref id="scirp.110649-ref12"><label>12</label><mixed-citation publication-type="other" xlink:type="simple">Vyakuno, K. (2006) Pression anthropique et aménagement rationnel des hautes terres deLubero en RDC. Rapports entre société et milieu physique dans une montagne équatoriale, Tome I, Thèse, Université de Toulouse II, Département de géographie et aménagement, Toulouse, 144.</mixed-citation></ref><ref id="scirp.110649-ref13"><label>13</label><mixed-citation publication-type="other" xlink:type="simple">K&amp;#246;ppen, W. (1923) Die Klimate der Erde-Gundriss der Klimakunde. Walter de Gruyter &amp; Co., Berlin, Leipzig, 369 p. https://doi.org/10.1515/9783111491530</mixed-citation></ref><ref id="scirp.110649-ref14"><label>14</label><mixed-citation publication-type="other" xlink:type="simple">Malaisse, F. (1982) Evolution of the Woody Structure in a Regressive Zambezian Succession: Dry Evergreen Forest-Open Forest-Wooded Savanna. Revue internationale de géologie, de géographie et d’écologie tropicales, 6, 4.</mixed-citation></ref><ref id="scirp.110649-ref15"><label>15</label><mixed-citation publication-type="other" xlink:type="simple">Sahani (2011) Le contexte urbain et climatique des risques hydrologiques de la ville de Butembo(Nord-Kivu/ RDC). Université de Liège, Collège de doctorat en Géographie, Liège, 300 p.</mixed-citation></ref><ref id="scirp.110649-ref16"><label>16</label><mixed-citation publication-type="other" xlink:type="simple">Blanc, L. (1998) Les formations forestières du Parc National de Cat Tien (Viêt-Nam): Caractérisation structurale et floristique, étude de la régénération naturelle et de la dynamique successionnelle. Thèse de doctorat, Université Claude Bernard Lyon 1, Villeurbanne, 207 p.</mixed-citation></ref><ref id="scirp.110649-ref17"><label>17</label><mixed-citation publication-type="book" xlink:type="simple">Dallmeier, F. (Ed.) (1992) Long Term Monitoring of Biological Diversity in Tropical Areas: Methods for Establishment and Inventory of Permanent Plots. Man and Biosphere Digest No. 11, United Nations Educational, Scientific and Cultural Organization, Paris, 72 p.</mixed-citation></ref><ref id="scirp.110649-ref18"><label>18</label><mixed-citation publication-type="other" xlink:type="simple">Malaisse, F. (1974) Quelques méthodes d’étude de la structure en forêt. Exemple d’application au miombo za&amp;#239;rois, écosystème tropical. Dans: La pratique de l’écologie. Place du champ de Mars, Bruxelles, 104-118.</mixed-citation></ref><ref id="scirp.110649-ref19"><label>19</label><mixed-citation publication-type="other" xlink:type="simple">Lebrun, J.-P. and Stork Adéla&amp;#239;de, L. (1991) Enumération des plantes à fleurs d’Afrique tropicale—Vol. 1: Généralités et Annonaceae à Pandaceae. Conservatoire et Jardin botaniques de la Ville de Genève, Genève, 254 p.</mixed-citation></ref><ref id="scirp.110649-ref20"><label>20</label><mixed-citation publication-type="other" xlink:type="simple">Dajoz, R. (2000) Précis d’écologie. Dunod, Paris, 615 p</mixed-citation></ref><ref id="scirp.110649-ref21"><label>21</label><mixed-citation publication-type="other" xlink:type="simple">Scherrer, B. (2007) Biostatistique. Vol. 1, 2ème édition, Ga&amp;#235;tan Morin (éditeur), Montréal, 816 p.</mixed-citation></ref><ref id="scirp.110649-ref22"><label>22</label><mixed-citation publication-type="other" xlink:type="simple">Piélou, E.C. (1966) Species Diversity and Pattern Diversity in the Study of Ecological Succession. Journal of Theoretical Biology, 10, 370-383. https://doi.org/10.1016/0022-5193(66)90133-0</mixed-citation></ref><ref id="scirp.110649-ref23"><label>23</label><mixed-citation publication-type="other" xlink:type="simple">Motulsky, H.J. (2002) Biostatistique: Une approche intuitive (Sciences et méthodes). De Boeck Supérieur, Louvain-la-Neuve, 484 p.</mixed-citation></ref><ref id="scirp.110649-ref24"><label>24</label><mixed-citation publication-type="other" xlink:type="simple">Havyarimana, F. (2009) Impact de la distribution spatiale des espèces arborescentes sur la diversité végétale dans la réserve naturelle forestière de Bururi (Burundi). Mémoire, Université Libre de Bruxelles, Belgique, 55 p. + Annexes.</mixed-citation></ref><ref id="scirp.110649-ref25"><label>25</label><mixed-citation publication-type="other" xlink:type="simple">Dajoz, R. (2006) Précis d’écologie. 8ème édition, Dunod, Paris, 631 p.</mixed-citation></ref><ref id="scirp.110649-ref26"><label>26</label><mixed-citation publication-type="other" xlink:type="simple">Lewalle, J. (1972) Les étages de végétation du Burundi occidental. Bulletin du Jardin botanique National de Belgique, 42, 1-171+173-247. https://doi.org/10.2307/3667406</mixed-citation></ref><ref id="scirp.110649-ref27"><label>27</label><mixed-citation publication-type="other" xlink:type="simple">Riéra, B., Puig, H. and Lescure, J.P. (1990) La dynamique de la forêt naturelle. Bois et Forêts des Tropiques, 219, 69-78.</mixed-citation></ref><ref id="scirp.110649-ref28"><label>28</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Malaisse</surname><given-names> F. </given-names></name>,<etal>et al</etal>. (<year>1984</year>)<article-title>Structure d’une forêt sèche à feuillage persistant bordant le fleuve Zambèze dans les environs de Lubumbashi (Za&amp;#239;re)</article-title><source> Bulletin de la Société Royale Botanique de Belgique</source><volume> 117</volume>,<fpage> 428</fpage>-<lpage>458</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.110649-ref29"><label>29</label><mixed-citation publication-type="other" xlink:type="simple">Sonké, B. (1998) Etudes floristiques et structurales des forêts de la Réserve de Faune du Dja (Cameroun). Thèse de doctorat, Université Libre de Bruxelles, Bruxelles, 256 p.</mixed-citation></ref><ref id="scirp.110649-ref30"><label>30</label><mixed-citation publication-type="other" xlink:type="simple">Bouko, S.B., Sinsin, B. and Soulé, G.B. (2007) Effets de la dynamique d’occupation du sol sur la structure et la diversité des forêts claires et savanes du Bénin. Tropicultura, 25, 221-227.</mixed-citation></ref><ref id="scirp.110649-ref31"><label>31</label><mixed-citation publication-type="other" xlink:type="simple">Riéra, B., Pélissier, R. and Houllier, F. (1998) Caractérisation d’une Mosa&amp;#239;que Forestière et de sa Dynamique en Forêt Tropicale humide Sempervirente. Biotropica, 30, 251-260. https://doi.org/10.1111/j.1744-7429.1998.tb00059.x</mixed-citation></ref><ref id="scirp.110649-ref32"><label>32</label><mixed-citation publication-type="other" xlink:type="simple">Barot, S., Gignoux, J. and Menaut, J.C. (1999) Seed Shadows, Survival and Recruitment: How Simple Mechanisms Lead to Dynamics of Population Recruitment curves. O&amp;#239;kos, 86, 320-330. https://doi.org/10.2307/3546449</mixed-citation></ref><ref id="scirp.110649-ref33"><label>33</label><mixed-citation publication-type="other" xlink:type="simple">Dubourdieu, J. (1997) Manuel d’aménagement forestier: Gestion durable et intégrée des écosystèmes forestiers. Office National des Forêts; Technique et Documentation, Lavoisier, Paris, 244 p.</mixed-citation></ref><ref id="scirp.110649-ref34"><label>34</label><mixed-citation publication-type="other" xlink:type="simple">Kohyama, T. (1991) A Functional Model Describing Sapling Growth under a Tropical Forest Canopy. Functional Ecology, 5, 83-90. https://doi.org/10.2307/2389558</mixed-citation></ref><ref id="scirp.110649-ref35"><label>35</label><mixed-citation publication-type="other" xlink:type="simple">Kubota, Y. (1995) Effects of Disturbance and Size Structure on the Regeneration Process in a Sub-Boreal Coniferous Forest, Northern Japan. Ecological Research, 10, 135-142. https://doi.org/10.1007/BF02347935</mixed-citation></ref><ref id="scirp.110649-ref36"><label>36</label><mixed-citation publication-type="other" xlink:type="simple">Reader, R.J., Bonser, S.P., Duralia, T.E. and Bricker, B.D. (1995) Inter Specific Variation in Tree Seedling Establishment in Canopy gaps in Relation to Tree Density. Journal of Vegetation Science, 6, 609-614. https://doi.org/10.2307/3236431</mixed-citation></ref><ref id="scirp.110649-ref37"><label>37</label><mixed-citation publication-type="other" xlink:type="simple">Berkowitz, A.R., Canham, C.D. and Kelly, V.R. (1995) Competition vs. Facilitation of Tree Seedling Growth and Survival in Early Successional Communities. Ecology, 76, 1156-1168. https://doi.org/10.2307/1940923</mixed-citation></ref><ref id="scirp.110649-ref38"><label>38</label><mixed-citation publication-type="other" xlink:type="simple">Mutamba, M. (2007) Farming or Foraging? Rural Livelihoods in Mafulira and Kabompo Districts of Zambia. Center for International Forestry Research and Rhodes University, Bogor, 20 p.</mixed-citation></ref><ref id="scirp.110649-ref39"><label>39</label><mixed-citation publication-type="other" xlink:type="simple">White, F. (1983) The Vegetation Map of Africa. A Descriptive Memoir, UNESCO, Natural Ressources Research, 20, 1-356.</mixed-citation></ref><ref id="scirp.110649-ref40"><label>40</label><mixed-citation publication-type="other" xlink:type="simple">Lebrun, J.-P. and Stork Adéla&amp;#239;de, L. (1992) Enumération des plantes à fleurs d’Afrique tropicale. Volume II. Chrysobalanaceae à Apiaceae. Conservatoire et Jardin botaniques de la Ville de Genève, Genève, 257 p.</mixed-citation></ref></ref-list></back></article>