<?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">ACS</journal-id><journal-title-group><journal-title>Atmospheric and Climate Sciences</journal-title></journal-title-group><issn pub-type="epub">2160-0414</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/acs.2018.84027</article-id><article-id pub-id-type="publisher-id">ACS-87882</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>
 
 
  A New Statistical Approach to Assess Climate Variability in the White Bandama Watershed, Northern C&#244;te d’Ivoire
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Franck</surname><given-names>Zokou Yao</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>Emmanuel</surname><given-names>Reynard</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>Ismaïla</surname><given-names>Ouattara</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>Yao</surname><given-names>Alexis N’go</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>Jean-Michel</surname><given-names>Fallot</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>Issiaka</surname><given-names>Savané</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Faculty of Sciences and Environmental Management, University Nangui Abrogoua, Abidjan, C&amp;amp;#244te d’Ivoire</addr-line></aff><aff id="aff2"><addr-line>Institute of Geography and Sustainability, University of Lausanne, Lausanne, Switzerland</addr-line></aff><pub-date pub-type="epub"><day>09</day><month>10</month><year>2018</year></pub-date><volume>08</volume><issue>04</issue><fpage>410</fpage><lpage>430</lpage><history><date date-type="received"><day>29,</day>	<month>August</month>	<year>2018</year></date><date date-type="rev-recd"><day>17,</day>	<month>October</month>	<year>2018</year>	</date><date date-type="accepted"><day>20,</day>	<month>October</month>	<year>2018</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 population of northern C
  &amp;#244te d’Ivoire, especially in the white Bandama watershed, lives for majority in rural areas and depends on farming, which is mainly linked to climate variability. This study evaluates the trends within watershed’s hydro-climatic variables and their level of significance over the period 1950-2000. The methodological approach consists in applying successively standardized indexes to detect trends and breaks in hydro-climatic long-term data. The Mann-Kendall statistical test lets us know the trends significance and the Kendall-Theil Robust Line test reveals their magnitude. The Student’s t test underlines break years. Results show that although rainfall has decreased, this decline is not statistically significant. However, temperature and potential evapotranspiration have strongly rised and discharge was submitted to high decline. These changes in hydrometeorological variables appeared from 1970 to 1980. This study is different from others conducted on climate variability in the northern C
  &amp;#244te d’Ivoire by the methodological statistical framework implemented and the understanding of significance level of climate trends. Until now, authors used the standardized index to detect trends in hydro-climatic parameters. For this work, we added the Mann-Kendall statistical test to assess the significance level of these trends at 
  <em>α</em> = 5% and 10%. Then, the Kendall-Theil statistical test was used to highlight the trends magnitude and the student’s t test to know the break years.
 
</p></abstract><kwd-group><kwd>Hydro-Climatic Trend</kwd><kwd> Statistical Tests</kwd><kwd> White Bandama Watershed</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Climate change is becoming nowadays an important center of interest for the scientific community and also for the world population. Results from numerous researches confirm that no part of the planet is spared the hydro-climatic changes. In fact, this variability sometimes unpredictable of climate by the earth surface becomes recurring since the 1950s through rainfall deregulation, temperature increase and the occurrence of floods and droughts [<xref ref-type="bibr" rid="scirp.87882-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref2">2</xref>] . In West Africa, drought conditions persistence has been observed during the last decades. The most recognized effect of climate interannual variability in this region is the severe drought that occurred during the 1970s and 1980s, with harmful consequences to population well-being and environment [<xref ref-type="bibr" rid="scirp.87882-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref4">4</xref>] . Particularly, for the Sudano-Sahelian Africa, the rainfall deficit has been around 13% and 27% respectively during the 1970s and 1980s decades [<xref ref-type="bibr" rid="scirp.87882-ref5">5</xref>] .</p><p>Some authors have examined rainfall trend in C&#244;te d’Ivoire in order to understand the effects of climate variability. Results showed decreasing trend in precipitation and streamflow [<xref ref-type="bibr" rid="scirp.87882-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref9">9</xref>] . The white Bandama watershed, in northern C&#244;te d’Ivoire, belongs to the large Sudano-Sahelian area in West Africa. The watershed follows the general climatic trend observed in West Africa. Several studies have assessed the variability of climate conditions during the second part of the 20<sup>th</sup> century [<xref ref-type="bibr" rid="scirp.87882-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref11">11</xref>] . They reached opposite findings. [<xref ref-type="bibr" rid="scirp.87882-ref12">12</xref>] suggested that the dryness has persisted through the 1990s with a few rainy years. In contrast, other studies [<xref ref-type="bibr" rid="scirp.87882-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref13">13</xref>] showed that the Sahelian region has recorded a wet period since the beginning of the 1990s and consequences of this phenomenon are floods recorded in some cities [<xref ref-type="bibr" rid="scirp.87882-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref15">15</xref>] . Unfortunately, most of these studies, both ancient and recent, are limited to the 2000s, because the availability of reliable data from measurement network has gradually decreased and ceased with the advent of political crisis occurred in the country in 2002. Moreover, statistical methods used, generally, are Pettitt, Buishand, Lee and Heghinian and Hubert statistical tests, implemented inside the Khronostat software [<xref ref-type="bibr" rid="scirp.87882-ref16">16</xref>] . In many areas around the world, studies undertaken about detecting trends and breaks in climate variables were made by using the Mann-Kendall and the Student’s t test [<xref ref-type="bibr" rid="scirp.87882-ref17">17</xref>] - [<xref ref-type="bibr" rid="scirp.87882-ref31">31</xref>] .</p><p>The main goal of this paper is to (re)assess climate and hydrological trends which occurred in the white Bandama basin during the period 1950-2000 and to identify their magnitudes. A methodological framework including several statistical tests is implemented, using the standardized index method to detect trends in long term hydro-climatic data, the Mann-Kendall statistical test to know the level of significance of these trends, and the Kendall-Theil Robust Line statistical test to highlight their magnitude. Finally, the Student’s t statistical test is used to determine the break years.</p></sec><sec id="s2"><title>2. Study Area</title><p>The white Bandama basin in northern C&#244;te d’Ivoire, is part of the Bandama river basin (<xref ref-type="fig" rid="fig1">Figure 1</xref>). It is located between 9˚22' and 10˚26' North latitude and 5˚00' et 6˚30' West longitude. It covers Ferkess&#233;dougou, Ouangolodougou, Dikodougou, Korhogo, M’bengu&#233;, Sinematiali, Boundiali and Niakaramadougou cities. Its area is estimated to 12,750 Km<sup>2</sup> and population is around 1,607,497 people. The population predominantly relies on agriculture and livestock breeding. Because of its strategic geographical position (borders with neighbouring countries), the watershed is the center of several economic and agricultural activities and has a high demographic growth [<xref ref-type="bibr" rid="scirp.87882-ref32">32</xref>] .</p><p>The watershed river network includes the Bandama river and its tributaries (Solomougou, Lokpoho, Lafigu&#233;, Badenou). Its climate is classified as tropical regime of transition [<xref ref-type="bibr" rid="scirp.87882-ref33">33</xref>] , with one rainy season from May to October and one drought season from November to April. The annual rainfall average is evaluated to 1230 mm (period 1950-2015). The runoff regime depends on the contrasted climatic regime. There is one period of low runoff from December to May. During that period, runoff generally is from subsurface return flow. The second runoff period is from June to November and represents the period of high flow. The most important floods occur in September with 300 m<sup>3</sup>/s on the 1962-1997 period [<xref ref-type="bibr" rid="scirp.87882-ref11">11</xref>] . Average relative humidity varies between 35% and 79%. Insolation values are spread over 160.6 hours (July) to 273.8 hours (January). Mean annual temperature is 26.6˚C. The highest values are obtained during the drought season with a peak in March (29.5˚C) and the lowest values are during rainy season with minimum in August (24.7˚C). All these climate information are from Korhogo synoptic station (SODEXAM, 2000) [<xref ref-type="bibr" rid="scirp.87882-ref34">34</xref>] .</p></sec><sec id="s3"><title>3. Data and Methods</title><sec id="s3_1"><title>3.1. Hydro-Climatic Data Set</title><p>Hydro-climatic data used in this work cover the entire study area at the monthly</p><p>scale and result from several entities. One part of climate data over the period 1950-2000 was provided by the Society of Development and Exploitation, Aeoroportuary, Aeronautic and Meteorology (SODEXAM): these are monthly rainfall at Boundiali, Ouangolodougou, Niofoin, Niell&#233;, M’bengu&#233;, Sin&#233;matiali, and Korhogo stations (see <xref ref-type="fig" rid="fig1">Figure 1</xref> for location, <xref ref-type="table" rid="table1">Table 1</xref>) and monthly temperature at Korhogo synoptic station. Monthly rainfall and temperature of Ferkess&#233;dougou station are from the meteorological station of the African Sugar Company of C&#244;te d’Ivoire (SUCAF CI) and were recorded from 1944 to 2015. Korhogo synoptic station was used for temperature data and to estimate potential evapotranspiration by the Thornthwaite formula [<xref ref-type="bibr" rid="scirp.87882-ref35">35</xref>] . Taking into account, temperature and evaporation low spatial variability, information provided from Korhogo synoptic station are considered to be sufficient for the entire studied watershed [<xref ref-type="bibr" rid="scirp.87882-ref33">33</xref>] .</p><p>Discharge data are from the network of measuring stations managed by the Ministry of Water and Forest. That data set is from Badikaha station located at the basin outlet and several surroundings stations: Tortiya, Tawara, Segueki&#233;l&#233;, and Sirasso (see <xref ref-type="fig" rid="fig1">Figure 1</xref> for location, <xref ref-type="table" rid="table2">Table 2</xref>).</p></sec><sec id="s3_2"><title>3.2. Rainfall and Discharge Data Correction</title><p>For this study rainfall data from Boundiali, Ferkess&#233;dougou, Korhogo and Ouangolodougou stations were used because they present a long time serie and fewgaps. When it was necessary to fill the gaps, data from other ten neighbour stations which operated during the missing months were used. The method of</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Rainfall stations used for this study</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Station</th><th align="center" valign="middle" >Period</th><th align="center" valign="middle" >Number of years with gaps</th><th align="center" valign="middle" >Number of years without observation</th><th align="center" valign="middle" >Full years (%)</th></tr></thead><tr><td align="center" valign="middle" >Ferkess&#233;dougou</td><td align="center" valign="middle" >1950-2015</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >97</td></tr><tr><td align="center" valign="middle" >Niell&#233;</td><td align="center" valign="middle" >1976-2000</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >76</td></tr><tr><td align="center" valign="middle" >Niofoin</td><td align="center" valign="middle" >2000-2010</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >100</td></tr><tr><td align="center" valign="middle" >Sin&#233;matiali</td><td align="center" valign="middle" >1976-1987</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >50</td></tr><tr><td align="center" valign="middle" >M’bengu&#233;</td><td align="center" valign="middle" >1976-2000</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >80</td></tr><tr><td align="center" valign="middle" >Korhogo</td><td align="center" valign="middle" >1944-2000</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >95</td></tr><tr><td align="center" valign="middle" >Niakaramadougou</td><td align="center" valign="middle" >1950-1987</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >92.10</td></tr><tr><td align="center" valign="middle" >Ouangolo</td><td align="center" valign="middle" >1950-2000</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >92.15</td></tr><tr><td align="center" valign="middle" >Boundiali</td><td align="center" valign="middle" >1922-1997</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >86.66</td></tr><tr><td align="center" valign="middle" >Dikodougou</td><td align="center" valign="middle" >1976-1987</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >50</td></tr><tr><td align="center" valign="middle" >Kass&#233;r&#233;</td><td align="center" valign="middle" >2000-2010</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >100</td></tr><tr><td align="center" valign="middle" >Napi&#233;l&#233;dougou</td><td align="center" valign="middle" >1976-1987</td><td align="center" valign="middle" >9</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >18.18</td></tr><tr><td align="center" valign="middle" >Sirasso</td><td align="center" valign="middle" >2000-2010</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >100</td></tr><tr><td align="center" valign="middle" >Tafir&#233;</td><td align="center" valign="middle" >1950-1987</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >100</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Discharge stations used for this study</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Station</th><th align="center" valign="middle" >Period</th><th align="center" valign="middle" >Number of years with gaps</th><th align="center" valign="middle" >Number of years without observation</th><th align="center" valign="middle" >Full years (%)</th></tr></thead><tr><td align="center" valign="middle" >Badikaha</td><td align="center" valign="middle" >1962-1997</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >91.66</td></tr><tr><td align="center" valign="middle" >Tortiya</td><td align="center" valign="middle" >1960-1996</td><td align="center" valign="middle" >7</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >59.45</td></tr><tr><td align="center" valign="middle" >Sirasso</td><td align="center" valign="middle" >1975-1996</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >77.30</td></tr><tr><td align="center" valign="middle" >Tawara</td><td align="center" valign="middle" >1979-1996</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >9</td><td align="center" valign="middle" >77.80</td></tr><tr><td align="center" valign="middle" >Segueki&#233;l&#233;</td><td align="center" valign="middle" >1974-1985</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >83.33</td></tr></tbody></table></table-wrap><p>replacing the missing value by a weighted average of station trends monthly mean was also used. To fill gaps in discharge data got from Badikaha hydrometric station, the test of similar proportionality between hydrometric stations located on the same river was used. In fact, we applied the linear regression and correlation test between the main hydrometric Badikaha station and the neighbour discharge stations from Tortiya, Tawara, Segueki&#233;l&#233;, and Sirasso [<xref ref-type="bibr" rid="scirp.87882-ref36">36</xref>] .</p></sec><sec id="s3_3"><title>3.3. Statistical Tests for the Analysis of Climate Trend</title><p>The methodological framework is summarized in <xref ref-type="fig" rid="fig2">Figure 2</xref>. At first, in order to detect change in of database, the standardized variable statistical test was selected. Secondly, in order to understand trends in long time data, Mann-Kendall statistical test was used. Thirdly, the magnitude of trends was detected by calculating the slope of the line. Fourthly, change-point in hydro-climatic data were detected by the Student’s t test. The Mann-Kendall and Student’s t tests were processed with the computer software TREND [<xref ref-type="bibr" rid="scirp.87882-ref37">37</xref>] . To determine the magnitude of trends, we employed the line slope statistical test, by using the Kendall-Theil Robust Line (KTR Line-version 1.0) software developed by the US Geological survey [<xref ref-type="bibr" rid="scirp.87882-ref38">38</xref>] . These visual basic programs-available via www.toolkit.net.au (accessed on the 12/07/2018) are designed to facilitate statistical testing for trend, change and randomness in hydrological and other time series data. TREND has 12 statistical tests, based on the WMO/UNESCO Expert Workshop on Trend/Change detection and on the CRC for Catchment Hydrology publication Hydrological Recipes [<xref ref-type="bibr" rid="scirp.87882-ref39">39</xref>] .</p><sec id="s3_3_1"><title>3.3.1. Standardized Variable</title><p>The standard or standardized variable is a positive or negative number of standard deviations by which the value of an observation, data point or variable is above or below the mean value of what is being observed or measured. Variables above the mean are positive, while variables below the mean are negative. The standardized variable of any climate variable can be defined by [<xref ref-type="bibr" rid="scirp.87882-ref40">40</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref41">41</xref>] :</p><p>N p = X − μ σ</p><p>where N p is the standardized variable, X is the annual mean of the variable, μ is the annual mean of the serie X and σ is its standard deviation.</p></sec><sec id="s3_3_2"><title>3.3.2. The Mann-Kendall Statistical Test</title><p>The non-parametric Mann-Kendall test [<xref ref-type="bibr" rid="scirp.87882-ref37">37</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref42">42</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref43">43</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref44">44</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref45">45</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref46">46</xref>] is commonly employed to quantify the significance of trends in series of environmental, climate or hydrological data. The null hypothesis, H0, is that there is no trend in data. The alternative hypothesis, H1, is that there is an increasing or decreasing trend. This method tests whether there is a trend in the time series data. It is a non-parametric test. The n time series values ( X 1 , X 2 , X 3 , … . , X n ) are replaced by their ranks ( R 1 , R 2 , R 3 , … .. , R n ) (starting at 1 for the lowest up to n). The test statistic S is:</p><p>S = ∑ i = 1 n − 1 ∑ j = i + 1 n sgn ( R i − R j ) and Z = { S − 1 var ( S ) , S &gt; 0 0 , S = 0 S + 1 var ( S ) , S &lt; 0</p><p>where sgn (x) = 1 for x &gt; 0, sgn (x) = 0 for x = 0, sgn (x) = ?1 for x &lt; 0.</p><p>Positive and negative values of Z indicate increasing and decreasing trends respectively. Testing trends is done at the specific a significance level. When p-value &lt; α, the null hypothesis is rejected and a significant trend exists in the time series. P-value is obtained from the standard normal distribution table. In this study, significance levels α = 0.05 and α = 0.1 were used. At the 5% significance level, the null hypothesis of no trend is accepted if p-value &gt; 0.05 and rejected if p-value &lt; 0.05. At the 10% significance level, the null hypothesis of no trend is accepted if p-value &gt; 0.1 and rejected if p-value &lt; 0.1 [<xref ref-type="bibr" rid="scirp.87882-ref21">21</xref>] .</p></sec><sec id="s3_3_3"><title>3.3.3. The Kendall-Theil Robust Line Statistical Test</title><p>This test [<xref ref-type="bibr" rid="scirp.87882-ref38">38</xref>] allowed us to calculate parameters for robust, non-parametric estimates of linear-regression coefficients between two continuous variables. This method is based on a linear regression model which is written as:</p><p>Y i = m ∗ X i + b + e i for i = 1 to n</p><p>where X i is the explanatory (independent, predictor, or X) variable for each data point (i); Y i is the response (dependent, predicted, or Y) variable for each data point (i); e i is the residual error or uncertainty in the predicted Y value for each data point (i); m is the estimated slope; b is the estimated intercept; n is the number of XY data points in the sample.</p><p>The slope of the line (m) is estimated as the median of all pairwise slopes between each pair of points in the data set. Each individual slope estimate ( m i j ) for the line connecting the ith and jth data point is calculated by use of the equation [<xref ref-type="bibr" rid="scirp.87882-ref47">47</xref>] - [<xref ref-type="bibr" rid="scirp.87882-ref52">52</xref>] :</p><p>m i j = ( Y j − Y i ) ( X j − X i ) for i = 1 to n − 1 and j = 2 to n</p></sec><sec id="s3_3_4"><title>3.3.4. The Student’s t Statistical Test</title><p>This method allows us to underline a change-point by checking whether the means in two different periods are different. The test assumes that the data are normally distributed. The Student’s t test statistic t is (critical test statistic values for various significance levels can be obtained from Student’s t statistic tables) [<xref ref-type="bibr" rid="scirp.87882-ref53">53</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref54">54</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref55">55</xref>] :</p><p>t = ( X &#175; − Y &#175; ) S 1 n + 1 m</p><p>where: X &#175; and Y &#175; are the means of the first and second periods respectively; m and n are the number of observations in the first and second periods respectively; S is the sample standard deviation (of the entire m and n observations).</p></sec></sec></sec><sec id="s4"><title>4. Results</title><sec id="s4_1"><title>4.1. Interannual Variation in Hydro-Climatic Data</title><p>By calculating the standardized index of climatic variables at different time scales, the evolution of annual rainfall within the basin was determined and a wet period, a dry period and a normal period could be highlighted (<xref ref-type="table" rid="table3">Table 3</xref>).</p><p>A wet period is considered when the indexes are negative and located below the x-axis shown by zero and vice versa for a dry period. Thus, normal period is when indexes are distributed in a balanced way on either side of the x-axis.</p><p>Results allowed us to show three main trends more or less similar at the annual scale. From 1950 to 1970, climate was characterized by wet conditions. For Ouangolodougou station, this wet period stopped in 1960. This wet trend is confirmed by rainfall index around +2 and mean annual discharge (135 m<sup>3</sup>/s) greater than the long term serie mean annual discharge (83 m<sup>3</sup>/s). Also the mean annual rainfall (1500 mm) is greater than the long-term mean annual rainfall (1200</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Wet, dry and normal periods characterization from 1950 to 2000</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle"  colspan="4"  >STATION</th></tr></thead><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >Boundiali</td><td align="center" valign="middle" >Ferkess&#233;dougou</td><td align="center" valign="middle" >Korhogo</td><td align="center" valign="middle" >Ouangolodougou</td></tr><tr><td align="center" valign="middle" >Wet period</td><td align="center" valign="middle" >1950-1974</td><td align="center" valign="middle" >1950-1970</td><td align="center" valign="middle" >1950-1971</td><td align="center" valign="middle" >1950-1960</td></tr><tr><td align="center" valign="middle" >Mean (mm)</td><td align="center" valign="middle" >1680.75</td><td align="center" valign="middle" >1403.76</td><td align="center" valign="middle" >1392.67</td><td align="center" valign="middle" >1439.26</td></tr><tr><td align="center" valign="middle" >Standard deviation</td><td align="center" valign="middle" >357.45</td><td align="center" valign="middle" >235.95</td><td align="center" valign="middle" >261.22</td><td align="center" valign="middle" >447.85</td></tr><tr><td align="center" valign="middle" >Normal Period</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >1961-1974</td></tr><tr><td align="center" valign="middle" >Mean (mm)</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >1119.21</td></tr><tr><td align="center" valign="middle" >Standard deviation</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >146.27</td></tr><tr><td align="center" valign="middle" >Dry period</td><td align="center" valign="middle" >1975-2000</td><td align="center" valign="middle" >1971-2000</td><td align="center" valign="middle" >1972-2000</td><td align="center" valign="middle" >1975-2000</td></tr><tr><td align="center" valign="middle" >Mean (mm)</td><td align="center" valign="middle" >1265.13</td><td align="center" valign="middle" >1154.82</td><td align="center" valign="middle" >1135</td><td align="center" valign="middle" >1009.37</td></tr><tr><td align="center" valign="middle" >Standard deviation</td><td align="center" valign="middle" >186.68</td><td align="center" valign="middle" >145.25</td><td align="center" valign="middle" >166.28</td><td align="center" valign="middle" >194.30</td></tr></tbody></table></table-wrap><p>mm). Then, exceptionally, from 1961 to 1974, Ouangolodougou rainfall station recorded a normal period with rainfall index around 0. During the period with normal conditions, some dry years were observed (1958, 1961, and 1967) over the study basin. Finally, from 1970 to 2000, climate was characterized by dry conditions, with low water, demonstrated by negative rainfall and discharge indexes. During that dry period, the mean annual rainfall was around 1000 mm and the mean annual discharge (46 m<sup>3</sup>/s) was lower than the long-term annual mean discharge (83 m<sup>3</sup>/s). The year 1990 was the rainiest at Korhogo station (<xref ref-type="fig" rid="fig3">Figure 3</xref>).</p><p>Temperature and potential evapotranspiration indexes are under 0 from 1950 to 1982, demonstrating a colder period (26.4˚C) than the region annual mean (26.7˚C). Then, these two climate variables got an upward trend until 2000 and the mean annual temperature was 27˚C (<xref ref-type="fig" rid="fig4">Figure 4</xref>).</p><p>The results obtained by the standardized index method underline that in the whole basin there has been a dry period since the 1970s, marked by rainfall and river discharge downward trend. At the opposite, an upward trend for temperature and potential evapotranspiration is observed since that period.</p></sec><sec id="s4_2"><title>4.2. Trend Significance and Magnitude in Hydro-Climatic Data</title><p>The Mann-Kendall and Kendall-Theil Robust Line tests were applied to rainfall, temperature, potential evapotranspiration and discharge long-term data at annual, seasonal and monthly time scale (<xref ref-type="table" rid="table4">Table 4</xref> and <xref ref-type="table" rid="table5">Table 5</xref>). The Mann-Kendall test showed that there is no significant statistical trend in annual rainfall for all the watershed’s stations at level of significance α = 5%. At this same time scale, only Boundiali and Ferkess&#233;dougou stations have recorded a downward trend at level of significance α = 10% with a weak magnitude around 0. By contrast, the rainy season has declined across the basin, except at Ferkess&#233;dougou station, where there has not been a significant trend at the level of α = 5% and a trend magnitude around 1. For the rainy season (from May to October), different</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Results of rainfall trends at annual, seasonal and monthly scale (1950-2000)</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Stations</th><th align="center" valign="middle"  rowspan="2"  >Variables</th><th align="center" valign="middle"  rowspan="2"  >Z<sub>MK</sub></th><th align="center" valign="middle"  rowspan="2"  >p-value</th><th align="center" valign="middle"  rowspan="2"  >slope (m)</th><th align="center" valign="middle"  colspan="2"  >Result of trend test</th></tr></thead><tr><td align="center" valign="middle" >α = 5%</td><td align="center" valign="middle" >α = 10%</td></tr><tr><td align="center" valign="middle"  rowspan="8"  >Boundiali</td><td align="center" valign="middle" >Annual rainfall</td><td align="center" valign="middle" >−1.84</td><td align="center" valign="middle" >0.06</td><td align="center" valign="middle" >−0.01</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >Rainy season (May-October)</td><td align="center" valign="middle" >−2.89</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−0.20</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >May</td><td align="center" valign="middle" >−2.90</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−0.02</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >June</td><td align="center" valign="middle" >−2.61</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−1.52</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >July</td><td align="center" valign="middle" >−2.60</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−1.50</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >August</td><td align="center" valign="middle" >−1.57</td><td align="center" valign="middle" >0.11</td><td align="center" valign="middle" >−1.97</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >September</td><td align="center" valign="middle" >−2.16</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >−1.85</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >October</td><td align="center" valign="middle" >−1.41</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >−1.00</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle"  rowspan="8"  >Ferkessedougou</td><td align="center" valign="middle" >Annual rainfall</td><td align="center" valign="middle" >−1.73</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >Rainy season (May-October)</td><td align="center" valign="middle" >−1.67</td><td align="center" valign="middle" >0.09</td><td align="center" valign="middle" >−0.08</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >May</td><td align="center" valign="middle" >−1.32</td><td align="center" valign="middle" >0.18</td><td align="center" valign="middle" >−0.52</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >June</td><td align="center" valign="middle" >−1.37</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >−0.86</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >July</td><td align="center" valign="middle" >−0.43</td><td align="center" valign="middle" >0.66</td><td align="center" valign="middle" >−0.32</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >August</td><td align="center" valign="middle" >−2.40</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >−2.65</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >September</td><td align="center" valign="middle" >−1.73</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >−1.00</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >October</td><td align="center" valign="middle" >−1.74</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.40</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle"  rowspan="8"  >Korhogo</td><td align="center" valign="middle" >Annual rainfall</td><td align="center" valign="middle" >−1.10</td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >Rainy season (May-October)</td><td align="center" valign="middle" >−2.39</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >−0.13</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >May</td><td align="center" valign="middle" >−0.50</td><td align="center" valign="middle" >0.61</td><td align="center" valign="middle" >−0.25</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >June</td><td align="center" valign="middle" >−1.95</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >−1.11</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >July</td><td align="center" valign="middle" >0.84</td><td align="center" valign="middle" >0.39</td><td align="center" valign="middle" >0.47</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >August</td><td align="center" valign="middle" >−2.72</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−2.37</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >September</td><td align="center" valign="middle" >−2.38</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >−1.82</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >October</td><td align="center" valign="middle" >−0.93</td><td align="center" valign="middle" >0.35</td><td align="center" valign="middle" >−0.55</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle"  rowspan="8"  >Ouangolodougou</td><td align="center" valign="middle" >Annual rainfall</td><td align="center" valign="middle" >−1.41</td><td align="center" valign="middle" >0.15</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >Rainy season (May-October)</td><td align="center" valign="middle" >−1.98</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >−0.11</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >May</td><td align="center" valign="middle" >−0.82</td><td align="center" valign="middle" >0.40</td><td align="center" valign="middle" >−0.36</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >June</td><td align="center" valign="middle" >−1.69</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >−0.87</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >July</td><td align="center" valign="middle" >−0.69</td><td align="center" valign="middle" >0.48</td><td align="center" valign="middle" >−0.57</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >August</td><td align="center" valign="middle" >−2.12</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >−2.05</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >September</td><td align="center" valign="middle" >−2.80</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >1.79</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >October</td><td align="center" valign="middle" >0.07</td><td align="center" valign="middle" >0.94</td><td align="center" valign="middle" >0.02</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr></tbody></table></table-wrap><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Results of temperature and potential evapotranspiration trends at annual, seasonal and monthly time scales (1950-2000)</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Variables</th><th align="center" valign="middle"  rowspan="2"  >Data Time Scale</th><th align="center" valign="middle"  rowspan="2"  >Z<sub>MK</sub></th><th align="center" valign="middle"  rowspan="2"  >p-value</th><th align="center" valign="middle"  rowspan="2"  >slope (m)</th><th align="center" valign="middle"  colspan="2"  >Result of trend test</th></tr></thead><tr><td align="center" valign="middle" >α = 5%</td><td align="center" valign="middle" >α = 10%</td></tr><tr><td align="center" valign="middle"  rowspan="8"  >Temperature at Korhogo Synoptic Station</td><td align="center" valign="middle" >Annual rainfall</td><td align="center" valign="middle" >2.97</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >Dry season (November-April)</td><td align="center" valign="middle" >4.28</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >November</td><td align="center" valign="middle" >0.87</td><td align="center" valign="middle" >0.38</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >December</td><td align="center" valign="middle" >4.13</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >January</td><td align="center" valign="middle" >4.74</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >February</td><td align="center" valign="middle" >4.31</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >March</td><td align="center" valign="middle" >4.37</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >April</td><td align="center" valign="middle" >2.56</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle"  rowspan="8"  >Potential Evapotranspiration at Korhogo Synoptic Station</td><td align="center" valign="middle" >Annual rainfall</td><td align="center" valign="middle" >2.74</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >Dry season (November-April)</td><td align="center" valign="middle" >4.54</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.10</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >November</td><td align="center" valign="middle" >0.78</td><td align="center" valign="middle" >0.43</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >No trend</td><td align="center" valign="middle" >No trend</td></tr><tr><td align="center" valign="middle" >December</td><td align="center" valign="middle" >3.97</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.63</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >January</td><td align="center" valign="middle" >4.30</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.89</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >February</td><td align="center" valign="middle" >4.26</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.96</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >March</td><td align="center" valign="middle" >4.42</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.88</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle" >April</td><td align="center" valign="middle" >2.62</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >0.40</td><td align="center" valign="middle" >Increase</td><td align="center" valign="middle" >Increase</td></tr><tr><td align="center" valign="middle"  rowspan="8"  >Discharge at Badikaha Hydrometric Station</td><td align="center" valign="middle" >Annual rainfall</td><td align="center" valign="middle" >−8.98</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−0.20</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >Rainy season (May-October)</td><td align="center" valign="middle" >−5.53</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−0.03</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >May</td><td align="center" valign="middle" >−3.50</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−0.18</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >June</td><td align="center" valign="middle" >−3.26</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−0.40</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >July</td><td align="center" valign="middle" >−3.49</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−1.21</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >August</td><td align="center" valign="middle" >−4.32</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−5.45</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >September</td><td align="center" valign="middle" >−4.48</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−10.85</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr><tr><td align="center" valign="middle" >October</td><td align="center" valign="middle" >−5.16</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >−12.02</td><td align="center" valign="middle" >Decline</td><td align="center" valign="middle" >Decline</td></tr></tbody></table></table-wrap><p>trends were observed across the basin’s stations. Rainfall in August, the rainiest month, has decreased at the level of significance α = 5% and α = 10%. Nevertheless, at Boundiali station, there has been no trend for August rainfall and the magnitude was −1.95. In Ferkess&#233;dougou station, by considering α = 5% significance level, there is only a significant trend decline in August rainfall. At 10% significance level, the decline trend concerns annual, rainy season, and August, September and October rainfall. The Sen’s slope for August rainfall is the highest in the long term series (−2.65). Stations of Korhogo and Ouangolodougou present the same trends in the annual precipitation, rainy season and August. These two stations have no significant trend in annual precipitation at 5% and 10% significance level but they record a same significant decline trend in the rainy season at both significance levels and almost the same Sen’s slope value. It means −0.13 and −0.11 for Korhogo and Ouangolodougou respectively. At Korhogo synoptic station, temperature and potential evapotranspiration have an upward trend, except for November, in which, there is no significant trend at the both significance level (5% and 10%).</p><p>Discharge is the only parameter which presents a unique trend at all time scales across the basin. It has a significant decline trend at 5% and 10% at the annual scale, for the rainy season and the rainy months. September and October discharge have the highest values for the Kendall-Theil Robust Line test, respectively −10.85 and −12.02. According to the geographical location through the basin (<xref ref-type="fig" rid="fig5">Figure 5</xref>), rainfall has a trend or not at 5% and 10% significance level for any time scale (annual, seasonal and monthly), while temperature and potential evapotranspiration have increased over the basin. At the basin outlet, located in the south, discharge showed a unique decline tendency at 5 and 10% significance level.</p></sec><sec id="s4_3"><title>4.3. Change-Year Detection in Hydrometeorological Series</title><p>Student’s t test showed several break points. A change point was revealed in the long-term precipitation data in 1970 for Ouangolodougou station, in 1971 for both Ferkess&#233;dougou and Korhogo stations, and in 1975 for Boundiali station (<xref ref-type="table" rid="table6">Table 6</xref>). Student’s t test statistic method also showed a break year in 1982 for both temperature and evaporation in the basin (<xref ref-type="table" rid="table7">Table 7</xref>).</p><p>Discharge data in the basin exhibit alternation from abundance to paucity.</p><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Detection of change-year in precipitation data at each station by Student’s t test over the period 1950-2000</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >STATION</th><th align="center" valign="middle"  rowspan="2"  >t</th><th align="center" valign="middle"  rowspan="2"  >p-value</th><th align="center" valign="middle"  colspan="2"  >RESULT</th><th align="center" valign="middle"  rowspan="2"  >YEAR OF CHANGE</th></tr></thead><tr><td align="center" valign="middle" >α = 0.05</td><td align="center" valign="middle" >α = 0.1</td></tr><tr><td align="center" valign="middle" >Boundiali</td><td align="center" valign="middle" >3.13</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >1975</td></tr><tr><td align="center" valign="middle" >Ferkess&#233;dougou</td><td align="center" valign="middle" >2.37</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >1971</td></tr><tr><td align="center" valign="middle" >Korhogo</td><td align="center" valign="middle" >2.41</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >1971</td></tr><tr><td align="center" valign="middle" >Ouangolodougou</td><td align="center" valign="middle" >2.23</td><td align="center" valign="middle" >0.02</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >1970</td></tr></tbody></table></table-wrap><table-wrap id="table7" ><label><xref ref-type="table" rid="table7">Table 7</xref></label><caption><title> Detection of change year of temperature, evaporation and discharge across the catchment by Student’s t test</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >VARIABLE</th><th align="center" valign="middle"  rowspan="2"  >t</th><th align="center" valign="middle"  rowspan="2"  >p-value</th><th align="center" valign="middle"  colspan="2"  >RESULT</th><th align="center" valign="middle"  rowspan="2"  >YEAR OF CHANGE</th></tr></thead><tr><td align="center" valign="middle" >α = 0.05</td><td align="center" valign="middle" >α = 0.1</td></tr><tr><td align="center" valign="middle" >temperature at Korhogo synoptic station</td><td align="center" valign="middle" >2.972</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >1982</td></tr><tr><td align="center" valign="middle" >potential evapotranspiration at Korhogo synoptic station</td><td align="center" valign="middle" >2.742</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >1982</td></tr><tr><td align="center" valign="middle" >discharge at Badikaha hydrometric station</td><td align="center" valign="middle" >−8.976</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >break</td><td align="center" valign="middle" >1977</td></tr></tbody></table></table-wrap><p>River flow tended to decrease over the period 1962-1997. The change point was recorded, by using Student’s t test statistic method, in 1977 (<xref ref-type="table" rid="table7">Table 7</xref>).</p></sec></sec><sec id="s5"><title>5. Discussion</title><p>The study firstly applied the standardized index method in order to determine the interannual variability of hydrometeorological parameters over the period 1950-2000. This test showed a decline trend for rainfall and discharge data, whereas temperature and potential evapotranspiration had an upward trend. A wet period was highlighted before the 1970s, a break/change period from the 1970s to the 1980s, and a dry period from the break to the 1990s. Our findings are in agreement with several studies conducted in C&#244;te d’Ivoire [<xref ref-type="bibr" rid="scirp.87882-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref34">34</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref56">56</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref57">57</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref58">58</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref59">59</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref60">60</xref>] and into Sahelian part of West Africa, that show a drought from the 1970s to 1993 [<xref ref-type="bibr" rid="scirp.87882-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref61">61</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref62">62</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref63">63</xref>] . According to these authors, precipitation variations in the Sudano-sahelian region of West Africa, based on the rainfall standardized index, indicate that the 1970s and 1980s were dry due to fluctuations in the Intertropical Convergence Zone (ITCZ) shifting. The ITCZ is defined as a convergence zone of the northeasterly Harmattan winds that originate in the Sahara and the southwest monsoon flow that emanates from the Atlantic [<xref ref-type="bibr" rid="scirp.87882-ref64">64</xref>] .</p><p>The second step of the analysis was to understand how the hydrometeorological trend could be considered in the study basin. Both the Mann-Kendall and Kendall-Theil Robust Line statistical tests were applied over the period from 1950 to 2000. Despite the severe drought during the 1970s and the 1980s, the annual rainfall downward trend, for the period 1950-2000, is not statistically significant. According to some authors, this situation could be explained as an annual rainfall recovery in West Africa during the last decade largely attributed to a climate shift in the mid-1990s to prevailing positive phases of the Atlantic Multidecadal Oscillation [<xref ref-type="bibr" rid="scirp.87882-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref65">65</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref66">66</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref67">67</xref>] . To corroborate this assumption, they relate to floods that occurred in some urban areas of the Sahel. In fact, Korhogo and Bondoukou, two mains cities of the study basin, were devasted by torrential rainfalls in 2003 and 2006 [<xref ref-type="bibr" rid="scirp.87882-ref15">15</xref>] . Also, Niamey was deluged by heavy rainfalls in 1998, Dakar, Saint-Louis and Kaolack in Senegal were invaded by high floods in 1999 and again in 2000 [<xref ref-type="bibr" rid="scirp.87882-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref14">14</xref>] .</p><p>As the annual rainfall trend is not significant, on the contrary, trends in the rainy season and monthly rainfall during the rainy season are strongly decreasing at the level of significance α = 5% and α = 10%. These results were also found by several authors, particularly, in Bangladesh [<xref ref-type="bibr" rid="scirp.87882-ref51">51</xref>] , in stream flow distributions in Pacific Northwest of the United States [<xref ref-type="bibr" rid="scirp.87882-ref68">68</xref>] , in East Africa [<xref ref-type="bibr" rid="scirp.87882-ref69">69</xref>] , and in Nigeria [<xref ref-type="bibr" rid="scirp.87882-ref70">70</xref>] . They explain, on the one hand, that discrepancies between annual rainfall trends and rainy season could mean that the main factors of trends in annual and seasonal rainfall may be different. Also, effects of seasonal rainfall trend can be hidden by the overall trend of annual rainfall [<xref ref-type="bibr" rid="scirp.87882-ref21">21</xref>] . Different trends between annual rainfall and seasonal time scale could also be explained by the quality of data. Rainfall data from stations in the watershed contain gaps. The filling of these shortcomings can spoil the homogeneity of records.</p><p>Temperature and potential evapotranspiration significant rising trend at 5% and 10% significance level for annual, seasonal and monthly scale highlight that the study area has got higher during the last decades. People in rural zones of West Africa support themselves mainly from subsistence level farming; hence, climate warming threatens them over the long term. Temperature rising across West Africa is described in many researches. According to [<xref ref-type="bibr" rid="scirp.87882-ref71">71</xref>] , by using remote sensing data, temperature has increased of 0.5˚C to 0.8˚C from 1970 to 2010, with a greater magnitude of change in the 1990s. Several reasons explain this temperature warming in the Sudano-sahelian area. At first, generally around the world, the concentration of anthropogenic greenhouse gas has increased in the atmosphere [<xref ref-type="bibr" rid="scirp.87882-ref72">72</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref73">73</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref74">74</xref>] . Secondly, anthropogenic pressure is becoming higher. Especially, across sub-Sahara Africa, [<xref ref-type="bibr" rid="scirp.87882-ref75">75</xref>] showed that from 1975 to 2000, there has been a 57% increase in agricultural areas and 15% increase in barren (largely desert) areas was accompanied by a 16% decrease in total forest cover.</p><p>Discharge trend was estimated only at the watershed outlet because of homogenous and long-term data lacks. Results display a significant decline trend over the study period at annual, seasonal time scale and during the rainy season. The statistical tests were significant at the level of α = 5% and 10%. Moreover, a break year was detected in 1977, which separates discharge long-term data according to two different periods by annual module: 100 m<sup>3</sup>/s over the wet period before 1977 and 35 m<sup>3</sup>/s over the dry period after that year. Research conducted by [<xref ref-type="bibr" rid="scirp.87882-ref11">11</xref>] at Tortiya hydrometric station (see <xref ref-type="fig" rid="fig1">Figure 1</xref> for location) also showed a discharge decline, with a change year in 1974 [<xref ref-type="bibr" rid="scirp.87882-ref4">4</xref>] . Also found a decline in the Baniriver discharge in Mali for the period 1950-2000. Break years found with the Student’s t statistical test in hydrometeorological data at annual scale are in compliance with other authors’ studies about climate variability across C&#244;te d’Ivoire [<xref ref-type="bibr" rid="scirp.87882-ref36">36</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref76">76</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref77">77</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref78">78</xref>] . These breaks coincide with the period from 1970s to 1980s, marked by a severe drought in West Africa. Spatial distribution of hydro-climatic stations displaying upward, downward and no trend at annual, seasonal and monthly time scale from 1950 to 2000 is presented in <xref ref-type="fig" rid="fig5">Figure 5</xref>. The synoptic station in the center zone of the studied area presents an upward trend at the significance level of 5% and 10% for temperature and potential evapotranspiration. Also, the flow station, in the southern zone (outlet) of the studied watershed records a downward trend at the significance level of 5% and 10% for river discharge. Lastly, the very small number of rainfall stations and their weak geographical distribution do not allow concluding about specific regional rainfall trends across the watershed.</p><p>The discharge declining trend is stronger than the rainfall trend. Consequently, we conclude that discharge tendency is only partly influenced by precipitation trend. Hence, human activities and high potential evapotranspiration could be the main causes of discharge decline. Similar results were found in other areas of the world [<xref ref-type="bibr" rid="scirp.87882-ref79">79</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref80">80</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref81">81</xref>] , for instance in China. Discharge decline due to anthropogenic pressure could be explained by the large number of projects carried out across the study area in the 1980s and 1990s for agricultural activities, water supply, fight against waterborne diseases, and development of livestock [<xref ref-type="bibr" rid="scirp.87882-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.87882-ref82">82</xref>] . These development programmes allowed slowing down the exodus of young people and rural inhabitants towards big and developed cities of C&#244;te d’Ivoire by improving their life level but the disadvantage was the increase of human pressure on water resources and environment.</p></sec><sec id="s6"><title>6. Conclusion and Perspectives</title><p>The objective of this study about the white Bandama basin in the northern C&#244;te d’Ivoire was focused on hydro-climatic trends and their magnitude. A methodological framework including several statistical tests was implemented: 1) the standardized index allowed us to identify trends into hydro-climatic data; 2) the non-parametric Mann-Kendall test was used to quantify the significance of trends in climate variable data; 3) the Kendall-Theil Robust Line statistical test permitted us to know the magnitude of trends; 4) and the Student’s t test allowed us to detect break/change years in climate and hydrological data. The downward trend in annual rainfall for the period 1950-2000 is not statistically significant, while temperature and potential evapotranspiration have registered a significant increasing trend. Spatially, the Badikaha hydrometric station in the basin outlet in the southern zone was submitted to significant decreasing trend in discharge. Korhogo synoptic station in the center of the study area has displayed significant increasing trend for temperature and potential evapotranspiration. All these changes in climate and hydrological data started from the 1970s to the 1980s. We conclude that anthropogenic pressure and high evapotranspiration were the main driving factors of discharge downward trend during the period 1950-2000.</p></sec><sec id="s7"><title>Acknowledgements</title><p>This research was supported by the Swiss Confederation through the excellence scholarship for foreign students obtained by Franck Zokou YAO.</p></sec><sec id="s8"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s9"><title>Cite this paper</title><p>Yao, F.Z., Reynard, E., Ouattara, I., N’go, Y.A., Fallot, J.-M. and Savan&#233;, I. (2018) A New Statistical Approach to Assess Climate Variability in the White Bandama Watershed, Northern C&#244;te d’Ivoire. 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