<?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">
    gep
   </journal-id>
   <journal-title-group>
    <journal-title>
     Journal of Geoscience and Environment Protection
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2327-4336
   </issn>
   <issn publication-format="print">
    2327-4344
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/gep.2025.138013
   </article-id>
   <article-id pub-id-type="publisher-id">
    gep-145065
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Earth 
     </subject>
     <subject>
       Environmental Sciences
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Mapping Water Quality Using Remote Sensing Technology: A Case Study of Lake Victoria
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Gideon Wafula
      </surname>
      <given-names>
       Simiyu
      </given-names>
     </name>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Josphat
      </surname>
      <given-names>
       Mwatelah
      </given-names>
     </name>
    </contrib>
   </contrib-group> 
   <aff id="affnull">
    <addr-line>
     aDepartment of Geomatic Engineering and Geospatial Information Systems, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     14
    </day> 
    <month>
     08
    </month>
    <year>
     2025
    </year>
   </pub-date> 
   <volume>
    13
   </volume> 
   <issue>
    08
   </issue>
   <fpage>
    225
   </fpage>
   <lpage>
    252
   </lpage>
   <history>
    <date date-type="received">
     <day>
      12,
     </day>
     <month>
      June
     </month>
     <year>
      2025
     </year>
    </date>
    <date date-type="published">
     <day>
      22,
     </day>
     <month>
      June
     </month>
     <year>
      2025
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      22,
     </day>
     <month>
      August
     </month>
     <year>
      2025
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © 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>
    Lake Victoria, the largest freshwater lake in Africa and a vital resource for over 45 million people across Kenya, Uganda, and Tanzania, is experiencing escalating environmental degradation due to agricultural runoff, untreated sewage, industrial effluents, and solid waste. These pollutants are driving eutrophication, biodiversity loss, and a rise in waterborne diseases, posing serious ecological and public health threats. This study utilized satellite-based remote sensing and geospatial analytics to assess water quality changes in Lake Victoria over a 20-year period. Cloud-free imagery from the Landsat Collection 2 Tier 1 Surface Reflectance dataset—specifically Landsat 7 ETM+ (2005), Landsat 5 TM (2010), Landsat 8 OLI/TIRS (2013, 2018), and Landsat 9 OLI-2/TIRS-2 (2023)—was analyzed using Google Earth Engine to calculate key spectral indices: Normalized Difference Vegetation Index (NDWI), Chlorophyll Index (CI), Turbidity Index (TI), and Normalized Difference Chlorophyll Index (NDCI). These indices served as proxies for chlorophyll-a, turbidity, and suspended sediment load. Water Quality Index (WQI) values were derived through Python-based scripts, weighted by parameter importance, and classified into four categories: Good, Moderate, Unhealthy, and Very Unhealthy. Results revealed a clear decline in water quality across the lake, particularly near urban centers such as Kisumu, Bukoba, and Entebbe. Notably, 2013 showed an extreme reduction in WQI values, ranging from −8.66 to −330.64, indicating significant pollution levels. The 2023 imagery continued this trend, with WQI values ranging from +69.79 to −130.17, reflecting very high pollution concentrations, especially in eutrophic zones and sediment-laden estuarine regions. The study demonstrates the effectiveness of remote sensing and Python-driven spatial analytics as a scalable, cost-efficient alternative to traditional water monitoring approaches. It recommends institutional adoption of such technologies along with integration of satellite data with machine learning models, in-situ measurements, and community-based monitoring frameworks. Ultimately, informing policy, and promoting sustainable, cooperative management of Lake Victoria’s shared water resources. 
   </abstract>
   <kwd-group> 
    <kwd>
     Water Quality
    </kwd> 
    <kwd>
      Water Quality Index (WQI)
    </kwd> 
    <kwd>
      Satellite Imagery
    </kwd> 
    <kwd>
      Water Indices
    </kwd> 
    <kwd>
      Lake Victoria
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>Water is one of the most vital natural resources, indispensable for human survival, economic development, and the health of ecosystems (<xref ref-type="bibr" rid="scirp.145065-58">
     Sagan et al., 2020
    </xref>; <xref ref-type="bibr" rid="scirp.145065-67">
     Taru &amp; Karwankar, 2017
    </xref>; <xref ref-type="bibr" rid="scirp.145065-3">
     Exposto et al., 2021
    </xref>). Freshwater sources such as rivers, lakes, and groundwater, alongside coastal water bodies, are under increasing threat from pollution (<xref ref-type="bibr" rid="scirp.145065-11">
     Beshiru et al., 2024
    </xref>) due to rapid industrialization, urban expansion, population growth, and climate change (<xref ref-type="bibr" rid="scirp.145065-29">
     Hung et al., 2020
    </xref>; <xref ref-type="bibr" rid="scirp.145065-70">
     Youssef et al., 2021
    </xref>). As pollutants—ranging from industrial discharges and agricultural runoff to untreated sewage—continue to contaminate water bodies, the availability of clean, safe water is diminishing at an alarming rate (<xref ref-type="bibr" rid="scirp.145065-59">
     Samui et al.
    </xref><xref ref-type="bibr" rid="scirp.145065-29">
     ,
    </xref><xref ref-type="bibr" rid="scirp.145065-59">
     2025
    </xref>; <xref ref-type="bibr" rid="scirp.145065-64">
     Smith &amp; Rodrigues, 2015
    </xref>). The consequences are dire: over two million deaths occur annually due to waterborne diseases, particularly in regions lacking adequate sanitation and clean water infrastructure (<xref ref-type="bibr" rid="scirp.145065-44">
     Mitra et al., 2024
    </xref>). Globally, improving water quality is a core goal under the United Nations Sustainable Development Goal 6.3. Yet, traditional water monitoring methods, which rely on fixed, ground-based sampling stations, are limited by cost, time, and spatial coverage (<xref ref-type="bibr" rid="scirp.145065-38">
     Li, 2016
    </xref>). As a result, there has been a growing shift toward remote sensing (RS) and geographic information systems (GIS) as powerful, cost-effective tools for large-scale, real-time water quality assessment (<xref ref-type="bibr" rid="scirp.145065-28">
     Huang et al., 2018
    </xref>; <xref ref-type="bibr" rid="scirp.145065-20">
     Feyisa et al., 2014
    </xref>). These technologies enable the monitoring of optical parameters such as turbidity and chlorophyll with high precision, while advances in machine learning are helping to improve the estimation of non-optical parameters like dissolved oxygen (<xref ref-type="bibr" rid="scirp.145065-71">
     Yuan et al., 2021
    </xref>; <xref ref-type="bibr" rid="scirp.145065-31">
     Jonah &amp; Archibong, 2022
    </xref>). Pollution sources are broadly categorized into chemical, biological, nutrient, physical, and solid waste contaminants. Their impacts are far-reaching, affecting human health, aquatic biodiversity, and regional economies (<xref ref-type="bibr" rid="scirp.145065-15">
     Chow et al., 2020
    </xref>). In many developing countries, poor waste management systems and weak enforcement of environmental regulations worsen the situation. Lake Victoria—a lifeline for millions across Kenya, Uganda, and Tanzania—illustrates the scale of the crisis. Excessive nutrient loading, industrial effluents, sewage discharge, and plastic waste have severely degraded its water quality, leading to eutrophication, declining fish stocks, and heightened public health risks (<xref ref-type="bibr" rid="scirp.145065-30">
     Jiang et al., 2024
    </xref>).</p>
   <p>Addressing such complex challenges requires coordinated action from local, national, and regional stakeholders. Regulatory agencies such as the National Environment Management Authority (NEMA) of Kenya and Uganda, and the National Environment Management Council (NEMC) of Tanzania, along with transboundary institutions such as the Lake Victoria Fisheries Organization (LVFO) and the Lake Victoria Basin Commission (LVBC), play crucial roles in managing and regulating the region’s resources. Modern water quality management must combine innovative technologies like RS and GIS with robust policy frameworks to ensure sustainable and equitable access to clean water for current and future generations (<xref ref-type="bibr" rid="scirp.145065-9">
     Bashir et al., 2020
    </xref>; <xref ref-type="bibr" rid="scirp.145065-21">
     Fuss, 2019
    </xref>; <xref ref-type="bibr" rid="scirp.145065-13">
     da Rocha et al., 2021
    </xref>).</p>
  </sec><sec id="s2">
   <title>2. Evaluation of Lake Victoria’s Water Quality Situation</title>
   <p>Lake Victoria, the largest freshwater lake in Africa and the second-largest in the world, is a vital natural resource supporting over 40 million people across Kenya, Uganda, and Tanzania. It plays a crucial role in providing water for domestic use, irrigation, fishing, transportation, and hydropower (<xref ref-type="bibr" rid="scirp.145065-27">
     Haldar et al., 2022
    </xref>). However, in recent decades, the lake’s water quality has been severely compromised due to a combination of anthropogenic and natural pressures. Pollution levels have risen dramatically, largely attributed to untreated sewage, industrial effluents, agricultural runoff, and urban waste discharged directly into the lake and its tributaries (<xref ref-type="bibr" rid="scirp.145065-36">
     Kundu et al., 2017
    </xref>). These pollutants threaten the aquatic ecosystem, endanger public health, and undermine the economic stability of the communities that rely on the lake for their livelihoods (<xref ref-type="bibr" rid="scirp.145065-35">
     Kuboja et al., 2024
    </xref>). One of the most critical manifestations of Lake Victoria’s deteriorating water quality is eutrophication, driven primarily by the excessive loading of nutrients such as phosphorus and nitrogen. Phosphorus levels have increased by approximately 76% since the year 2000, intensifying the frequency and severity of harmful algal blooms (HABs), like cyanobacteria such as Microcystis (<xref ref-type="bibr" rid="scirp.145065-32">
     Kanhai et al., 2021
    </xref>; <xref ref-type="bibr" rid="scirp.145065-12">
     Brooks et al., 2016
    </xref>). These blooms produce toxins that are harmful to aquatic life and dangerous to human health when the water is used untreated. In some instances, these blooms have caused hypoxic zones areas with depleted oxygen that now occupy up to 40% of the lake bed, disrupting the natural ecological balance and causing large-scale fish kills (<xref ref-type="bibr" rid="scirp.145065-41">
     Masso et al., 2024
    </xref>). In addition to nutrient enrichment, the lake is burdened by toxic substances such as heavy metals from industrial discharges. Some areas of the lake have reported concentrations exceeding World Health Organization (WHO) limits by over 300% (<xref ref-type="bibr" rid="scirp.145065-57">
     Roegner et al., 2023
    </xref>). Despite the urgent need for intervention, existing water quality monitoring infrastructure remains inadequate. The current systems suffer from poor spatial coverage, irregular sampling schedules, outdated equipment, and inconsistent measurement of key parameters. Furthermore, monitoring capacity is limited by a lack of funding, insufficient personnel, and a shortage of modern laboratory facilities. Many monitoring stations are under-resourced and incapable of producing real-time data, making it difficult to detect pollution events or to respond promptly. Cross-border coordination between Kenya, Uganda, and Tanzania is weak, leading to fragmented data collection and poor integration of information (<xref ref-type="bibr" rid="scirp.145065-17">
     Drouillard et al., 2024
    </xref>). The institutional response has also been inadequate. While the LVBC and national agencies such as NEMA have introduced water quality standards and regulation such as the Water Quality Standards enacted in 2014 enforcement remains weak. Institutional challenges including limited funding, weak regulatory enforcement, and lack of coordination among stakeholders have hampered effective policy implementation (<xref ref-type="bibr" rid="scirp.145065-46">
     Nalumenya et al., 2024
    </xref>). Climate change compounds these issues by altering rainfall patterns and increasing temperatures, which affect runoff, pollutant dispersion, and lake stratification. These shifts increase the mobility of pollutants and further destabilize the lake’s fragile ecosystem. With population growth and expanding economic activity around the lake, the pressure on water resources is expected to intensify in the coming years (<xref ref-type="bibr" rid="scirp.145065-45">
     Nakkazi et al., 2024
    </xref>). Given the scale and complexity of the water quality challenges facing Lake Victoria, there is a clear need for innovative and scalable solutions. Remote sensing technologies offer a promising alternative to traditional, ground-based monitoring systems. These technologies provide cost-effective, wide-area, and near real-time data on water quality parameters such as turbidity, chlorophyll-a, and surface temperature (<xref ref-type="bibr" rid="scirp.145065-2">
     Ali et al., 2024
    </xref>). By complementing existing monitoring frameworks, remote sensing can help fill critical data gaps, improve pollution tracking, and support timely and informed decision-making. In summary, the ongoing degradation of Lake Victoria’s water quality presents a serious environmental and socio-economic crisis. Inadequate monitoring infrastructure, weak enforcement of regulations, institutional fragmentation, and the growing impacts of climate change are all contributing to the lake’s decline (<xref ref-type="bibr" rid="scirp.145065-5">
     Awange, 2021
    </xref>). To safeguard the health of Lake Victoria and the millions who depend on it, urgent investment in modern, integrated monitoring approaches—especially leveraging remote sensing is essential.</p>
  </sec><sec id="s3">
   <title>3. Water Quality Mapping Using Spatial Indicators</title>
   <p>Various spatial indicators have made it possible to visualize the extent and sources of water pollution in Lake Victoria (<xref ref-type="bibr" rid="scirp.145065-50">
     Njagi et al., 2022
    </xref>). Enabling more targeted and effective water quality management. Key among these are nutrient concentrations particularly nitrogen and phosphorus which are closely associated with eutrophication and algal blooms caused by agricultural runoff (<xref ref-type="bibr" rid="scirp.145065-10">
     Batina &amp; Krtalić, 2024
    </xref>). Ground-based sensors have been used to measure parameters such as turbidity, pH, and dissolved oxygen, offering localized insights into the lake’s ecological health. Remote sensing technologies also contribute by mapping chlorophyll-a concentrations and surface water temperatures, which indicate biological activity and potential pollution zones; however, their application in the region remains limited (<xref ref-type="bibr" rid="scirp.145065-6">
     Awange &amp; Ong’ang’a, 2006
    </xref>). In addition, satellite-derived land use and land cover (LULC) data help track urbanization and agricultural practices that intensify pollution loads around the lake (<xref ref-type="bibr" rid="scirp.145065-63">
     Sitoki et al., 2010
    </xref>). Despite these advancements, the lack of an integrated monitoring framework combining ground-based and satellite data continues to hinder regional water quality efforts. Studies emphasize the need for a robust, unified inventory system to support evidence-based policymaking and transboundary collaboration among the Lake Victoria basin countries (<xref ref-type="bibr" rid="scirp.145065-25">
     Gordon et al., 1994
    </xref>). Kenya’s Water Quality Action Plan and regional programs like the ASAP project aim to fill these gaps by promoting sustainable practices, stakeholder engagement, and the scaling up of low-cost monitoring technologies. However, translating research findings into policy and practice remains a major challenge, underscoring the need for institutional support and investment in spatial data infrastructure for sustainable water management. An understanding of some of the main causes of water pollution is essential to assess water quality effectively. The Water Quality Action Plan 2022 report, <xref ref-type="table" rid="table1">
     Table 1
    </xref>, provides a summary of the key sources and components of water pollution modified from source.</p>
   <p>
    <xref ref-type="bibr" rid="scirp.145065-"></xref>Table 1. Cases and impacts of environmental degradation in lake Victoria Basin.</p>
   <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
    <tr> 
     <td class="custom-bottom-td custom-top-td acenter" width="20.59%"><p style="text-align:center">Emission</p></td> 
     <td class="custom-bottom-td custom-top-td acenter" width="26.47%"><p style="text-align:center">Description</p></td> 
     <td class="custom-bottom-td custom-top-td acenter" width="25.00%"><p style="text-align:center">Sources</p></td> 
     <td class="custom-bottom-td custom-top-td acenter" width="27.94%"><p style="text-align:center">Harmful Effects in Lake Victoria</p></td> 
    </tr> 
    <tr> 
     <td class="custom-top-td aleft" width="20.59%"><p style="text-align:left">Land Degradation &amp; Erosion</p></td> 
     <td class="custom-top-td aleft" width="26.47%"><p style="text-align:left">Loss of vegetation cover, poor farm practices, overuse of agrochemicals.</p></td> 
     <td class="custom-top-td aleft" width="25.00%"><p style="text-align:left">Upstream forest areas, upstream rural/agricultural areas.</p></td> 
     <td class="custom-top-td aleft" width="27.94%"><p style="text-align:left">Sedimentation in rivers and streams, decline in water quality, loss of aquatic habitats.</p></td> 
    </tr> 
    <tr> 
     <td class="aleft" width="20.59%"><p style="text-align:left">Nutrient Loads</p></td> 
     <td class="aleft" width="26.47%"><p style="text-align:left">Increase in nitrogen and phosphorus from runoff and untreated wastewater.</p></td> 
     <td class="aleft" width="25.00%"><p style="text-align:left">Agriculture, urban runoff, wastewater discharge.</p></td> 
     <td class="aleft" width="27.94%"><p style="text-align:left">Eutrophication, algae blooms, oxygen depletion.</p></td> 
    </tr> 
    <tr> 
     <td class="aleft" width="20.59%"><p style="text-align:left">Fecal Loads &amp; Solid Waste</p></td> 
     <td class="aleft" width="26.47%"><p style="text-align:left">Contamination with fecal matter and solid waste.</p></td> 
     <td class="aleft" width="25.00%"><p style="text-align:left">Urban areas, informal settlements, towns.</p></td> 
     <td class="aleft" width="27.94%"><p style="text-align:left">Spread of waterborne diseases, increased treatment costs, loss of fish stocks.</p></td> 
    </tr> 
    <tr> 
     <td class="aleft" width="20.59%"><p style="text-align:left">Artisanal Gold Mines</p></td> 
     <td class="aleft" width="26.47%"><p style="text-align:left">Mining and processing waste.</p></td> 
     <td class="aleft" width="25.00%"><p style="text-align:left">Upstream urban areas.</p></td> 
     <td class="aleft" width="27.94%"><p style="text-align:left">Pollution from mercury and heavy metals, groundwater contamination.</p></td> 
    </tr> 
    <tr> 
     <td class="aleft" width="20.59%"><p style="text-align:left">Untreated Industrial Effluents</p></td> 
     <td class="aleft" width="26.47%"><p style="text-align:left">Discharge of harmful industrial waste into water bodies.</p></td> 
     <td class="aleft" width="25.00%"><p style="text-align:left">Industries near the lake, wet-lands.</p></td> 
     <td class="aleft" width="27.94%"><p style="text-align:left">Pollution of wetlands, toxic impacts on aquatic ecosystems, harm to livelihoods.</p></td> 
    </tr> 
    <tr> 
     <td class="aleft" width="20.59%"><p style="text-align:left">Aquaculture Waste</p></td> 
     <td class="aleft" width="26.47%"><p style="text-align:left">Waste from fish farming practices.</p></td> 
     <td class="aleft" width="25.00%"><p style="text-align:left">Aquaculture activities around the lake.</p></td> 
     <td class="aleft" width="27.94%"><p style="text-align:left">Introduction of invasive species, water toxicity, biodiversity loss.</p></td> 
    </tr> 
    <tr> 
     <td class="aleft" width="20.59%"><p style="text-align:left">Atmospheric Deposition</p></td> 
     <td class="aleft" width="26.47%"><p style="text-align:left">Pollutants deposited from the air.</p></td> 
     <td class="aleft" width="25.00%"><p style="text-align:left">Industrial activities, open burning.</p></td> 
     <td class="aleft" width="27.94%"><p style="text-align:left">Accumulation of toxins, bioaccumulation in aquatic organisms.</p></td> 
    </tr> 
    <tr> 
     <td class="aleft" width="20.59%"><p style="text-align:left">Heavy Metals &amp; Tox-ins</p></td> 
     <td class="aleft" width="26.47%"><p style="text-align:left">Pollution from hazardous materials like mercury and lead.</p></td> 
     <td class="aleft" width="25.00%"><p style="text-align:left">Mining, industrial activities, waste disposal.</p></td> 
     <td class="aleft" width="27.94%"><p style="text-align:left">Bioaccumulation in fish, health risks to consumers, eco-logical disruptions.</p></td> 
    </tr> 
    <tr> 
     <td class="custom-bottom-td aleft" width="100.00%" colspan="4"><p style="text-align:left">Organic &amp; Solid WasteDecomposition of organic material</p><p style="text-align:left">And plastic waste accumulation.Agriculture, urban and industrial waste. Oxygen depletion in waterharm to aquatic habitats.</p></td> 
    </tr> 
   </table>
   <p>(Modified from source: <xref ref-type="bibr" rid="scirp.145065-https://www.ciwaprogram.org/wp-content/uploads/CIWA-LVB-Learning-Note-1.pdf">
     https://www.ciwaprogram.org/wp-content/uploads/CIWA-LVB-Learning-Note-1.pdf
    </xref>).</p>
  </sec><sec id="s4">
   <title>4. Remote Sensing for Water Quality Mapping</title>
   <p>Remote sensing applications for monitoring water quality have evolved significantly since the 1980s, beginning with the Coastal Zone Color Scanner (CZCS) on the Nimbus-7 satellite. Early research, such as by (<xref ref-type="bibr" rid="scirp.145065-65">
     Sun et al., 2017
    </xref>), demonstrated the utility of satellite-derived ocean color data for assessing chlorophyll concentrations an important indicator of eutrophication. The launch of NASA’s Moderate-Resolution Imaging Spectroradiometer (MODIS) on the Aqua and Terra satellites marked a major advancement, enabling continuous global monitoring of chlorophyll-a, turbidity, and suspended sediments (<xref ref-type="bibr" rid="scirp.145065-22">
     Gao et al., 2016
    </xref>). Subsequent studies utilized other sensors, such as Landsat-8 for tracking water temperature and sediment (<xref ref-type="bibr" rid="scirp.145065-60">
     Sent et al., 2021
    </xref>) and Sentinel-2 for detailed assessment of chlorophyll-a and particulate matter in both fresh-water and marine environments. (<xref ref-type="bibr" rid="scirp.145065-73">
     Zhu et al., 2016
    </xref>). (<xref ref-type="bibr" rid="scirp.145065-4">
     Attey-Yeboah et al., 2025
    </xref>) further demonstrated MODIS’s capability in identifying areas at risk of Harmful Algal Blooms (HABs) in the East China Sea. In African countries, remote sensing has been recognized as a crucial tool for filling data gaps in the water quality monitoring and analysis, especially in Sub-Saharan regions where in-situ data are often scarce (<xref ref-type="bibr" rid="scirp.145065-37">
     Li et al., 2022
    </xref>). (<xref ref-type="bibr" rid="scirp.145065-18">
     Dube et al., 2015
    </xref>) further demonstrated MODIS’s capability in identifying areas at risk of Harmful Algal Blooms (HABs) in the East China Sea. In Africa, remote sensing has been recognized as a crucial tool for filling data gaps in water quality monitoring, especially in Sub-Saharan regions where in-situ data are often scarce (<xref ref-type="bibr" rid="scirp.145065-55">
     Oyedotun et al., 2025
    </xref>). For instance, Sentinel-2 imagery has been used to assess marine pollution in the Gulf of Guinea, (<xref ref-type="bibr" rid="scirp.145065-33">
     Karaoui et al., 2019
    </xref>) highlighting its potential for tracking oil spills and runoff. In North Africa, (<xref ref-type="bibr" rid="scirp.145065-69">
     Were et al., 2013
    </xref>) Karaoui used Sentinel-2 to monitor chlorophyll and particulate matter. Within East Africa, studies have shown growing application: (<xref ref-type="bibr" rid="scirp.145065-51">
     Nsubuga et al., 2017
    </xref>) Were assessed eutrophication in Lake Nakuru using Landsat, Nsubuga analyzed water quality in Lake Kyoga using MODIS, and (<xref ref-type="bibr" rid="scirp.145065-45">
     Nakkazi et al., 2024
    </xref>) Nakkazi monitored seasonal variations in Tanzanian waters. The effectiveness of remote sensing in water quality monitoring lies in its ability to estimate parameters like chlorophyll-a, turbidity, and total suspended solids (TSS) using tailored algorithms and spectral bands on Earth observation satellites such as Landsat and Sentinel (<xref ref-type="bibr" rid="scirp.145065-48">
     Nativi &amp; Bigagli, 2009
    </xref>; <xref ref-type="bibr" rid="scirp.145065-72">
     Zhou et al., 2022
    </xref>). These methods help overcome limitations in sensor resolution and data availability, improving the accuracy of water quality assessments (<xref ref-type="bibr" rid="scirp.145065-16">
     Deng et al., 2024
    </xref>). Looking ahead, the deployment of high-resolution and hyperspectral sensors is expected to significantly enhance the spatial and spectral capabilities of remote sensing platforms, leading to more precise monitoring and management of aquatic ecosystems (<xref ref-type="bibr" rid="scirp.145065-7">
     Bannari et al., 2022
    </xref>).</p>
  </sec><sec id="s5">
   <title>5. Mapping Water Quality for Lake Victoria</title>
   <sec id="s5_1">
    <title>5.1. Area of Study Description</title>
    <p>Lake Victoria is the largest tropical lake and the second-largest freshwater lake globally by surface area (68,800 km<sup>2</sup>), (<xref ref-type="fig" rid="fig1">
      Figure 1
     </xref>) located in East Africa between latitudes 0˚20'N to 3˚00'S and longitudes 31˚39'E to 34˚53'E. It sits at an altitude of approximately 1134 - 1135 meters above sea level and is shared among Tanzania (49% - 51%), Uganda (43% - 45%), and Kenya (6%) (<xref ref-type="bibr" rid="scirp.145065-66">
      Taabu-Munyaho et al., 2013
     </xref>; <xref ref-type="bibr" rid="scirp.145065-61">
      Simiyu et al., 2022
     </xref>). The lake has an average depth of 40 meters, with a maximum depth of up to 84 - 90 meters in the northeastern section. Its catchment area spans between 194,000 km<sup>2</sup> and 258,700 km<sup>2</sup>, extending into Rwanda and Burundi (<xref ref-type="bibr" rid="scirp.145065-53">
      Odada et al., 2009
     </xref>; <xref ref-type="bibr" rid="scirp.145065-14">
      Cavalli et al., 2009
     </xref>). It forms the main reservoir of the Nile River system, playing a vital hydrological and economic role in the region. Lake Victoria supports the livelihoods of over 42 million people, providing water, food, and employment, especially through fishing, which yields approximately 1 million tons of fish annually and sustains more than 5 million people (<xref ref-type="bibr" rid="scirp.145065-46">
      Nalumenya et al., 2024
     </xref>; <xref ref-type="bibr" rid="scirp.145065-54">
      Outa et al., 2020
     </xref>; <xref ref-type="bibr" rid="scirp.145065-52">
      Nyamweya et al., 2023
     </xref>). Rainfall in the lake basin is bimodal, with “long rains” from March to May (MAM) and “short rains” from October to December (OND), influenced by zonal winds and intertropical convergence zones (<xref ref-type="bibr" rid="scirp.145065-49">
      Nicholson et al., 2021
     </xref>). Rainfall ranges between 900 - 2600 mm/year, while evaporation ranges from 1100 - 2400 mm/year. Despite its importance, Lake Victoria faces serious environmental threats from anthropogenic activities such as pollution, deforestation, eutrophication, urbanization, and climate change, which degrade its water quality (<xref ref-type="bibr" rid="scirp.145065-42">
      Mchau et al., 2019
     </xref>). Parameters such as Chlorophyll-a (Chl-a) and turbidity are used to monitor these impacts, with Chl-a serving as an indicator of phyto-plankton biomass and eutrophication (<xref ref-type="bibr" rid="scirp.145065-24">
      Gidudu et al., 2021
     </xref>), (<xref ref-type="bibr" rid="scirp.145065-68">
      Thiemann &amp; Kaufmann, 2000
     </xref>; <xref ref-type="bibr" rid="scirp.145065-34">
      Koponen et al., 2002
     </xref>). The Lake Victoria Basin is one of the most densely populated regions in the world, with over 300 people/km<sup>2</sup> and an annual population growth rate of 3.5% (<xref ref-type="bibr" rid="scirp.145065-53">
      Odada et al., 2009
     </xref>). The lake’s extensive and transboundary nature makes it critical to maintain sustainable management and robust monitoring programs (<xref ref-type="bibr" rid="scirp.145065-47">
      Nassali et al., 2020
     </xref>).</p>
    <fig id="fig1" position="float">
     <label>Figure 1</label>
     <caption>
      <title>Figure 1. Study area map of Lake Victoria.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173451-rId16.jpeg?20250902091639" />
    </fig>
   </sec>
   <sec id="s5_2">
    <title>5.2. Data Sources and Collection</title>
    <p>The primary data sources used was Landsat imageries as outlines in (<xref ref-type="table" rid="table2">
      Table 2
     </xref>). The study adopted an integrated remote sensing approach to monitor and map water quality parameters of Lake Victoria, emphasizing the lake’s ecological and economic significance and the need for sustainable environmental management. The key technologies and data tools used included Google Earth Engine (GEE), QGIS, and Jupyter Notebook, which collectively enabled efficient image processing, visualization, and statistical analysis. Landsat satellite imagery—specifically Landsat Collection 2 Tier 1 Level 2 Surface Reflectance and Surface Temperature Data—was the primary data source. Landsat’s multispectral capabilities, including bands in the visible, NIR, and SWIR regions, made it ideal for water quality monitoring, band characteristics are well documented in the literature by Barsi (<xref ref-type="bibr" rid="scirp.145065-8">
      Barsi et al., 2014
     </xref>). The long-term data availability also allowed for temporal analysis to observe changes in water quality over time. Google Earth Engine (GEE) facilitated the processing of large volumes of imagery without the need for substantial local computing resources. Cloud masking, filtering, and index calculations were conducted automatically in GEE using JavaScript, while QGIS was used for post-processing tasks such as map generation and classification refinement. Python in Jupyter Notebook was utilized for advanced statistical analysis and machine learning operations.</p>
    <table-wrap id="table1">
     <label>
      <xref ref-type="table" rid="table1">
       Table 1
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145065-"></xref>Table 2. Landsat imagery characteristics used for mapping water quality in Lake Victoria.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="5.14%"><p style="text-align:center">No.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="27.22%"><p style="text-align:center">Image ID.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.76%"><p style="text-align:center">Time</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="21.38%"><p style="text-align:center">Date</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="21.27%"><p style="text-align:center">Spatial Resolution (M)</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.23%"><p style="text-align:center">Cloud Cover %</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="5.14%"><p style="text-align:center">1</p></td> 
       <td class="custom-top-td acenter" width="27.22%"><p style="text-align:center">LANDSAT/LT05/C02/T1_TOA</p></td> 
       <td class="custom-top-td acenter" width="11.76%"><p style="text-align:center">07:38:27</p></td> 
       <td class="custom-top-td acenter" width="21.38%"><p style="text-align:center">20/08/2010 (Friday)</p></td> 
       <td class="custom-top-td acenter" width="21.27%"><p style="text-align:center">30</p></td> 
       <td class="custom-top-td acenter" width="13.23%"><p style="text-align:center">Less than 10</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="5.14%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="27.22%"><p style="text-align:center">LANDSAT/LE07/C02/T1_L2</p></td> 
       <td class="acenter" width="11.76%"><p style="text-align:center">07:32:17</p></td> 
       <td class="acenter" width="21.38%"><p style="text-align:center">10/03/2005 (Thursday)</p></td> 
       <td class="acenter" width="21.27%"><p style="text-align:center">30</p></td> 
       <td class="acenter" width="13.23%"><p style="text-align:center">Less than 10</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="5.14%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="27.22%"><p style="text-align:center">LANDSAT/LC08/C02/T1_L2</p></td> 
       <td class="acenter" width="11.76%"><p style="text-align:center">08:48:59</p></td> 
       <td class="acenter" width="21.38%"><p style="text-align:center">16/11/2013 (Saturday)</p></td> 
       <td class="acenter" width="21.27%"><p style="text-align:center">30</p></td> 
       <td class="acenter" width="13.23%"><p style="text-align:center">Less than 20</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="5.14%"><p style="text-align:center">4</p></td> 
       <td class="acenter" width="27.22%"><p style="text-align:center">LANDSAT/LC08/C02/T1_L2</p></td> 
       <td class="acenter" width="11.76%"><p style="text-align:center">08:49:24</p></td> 
       <td class="acenter" width="21.38%"><p style="text-align:center">25/02/2018 (Sunday)</p></td> 
       <td class="acenter" width="21.27%"><p style="text-align:center">30</p></td> 
       <td class="acenter" width="13.23%"><p style="text-align:center">Less than 8</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="5.14%"><p style="text-align:center">5</p></td> 
       <td class="custom-bottom-td acenter" width="27.22%"><p style="text-align:center">LANDSAT/LC09/C02/T1_L2</p></td> 
       <td class="custom-bottom-td acenter" width="11.76%"><p style="text-align:center">07:49:44</p></td> 
       <td class="custom-bottom-td acenter" width="21.38%"><p style="text-align:center">14/11/2023 (Tuesday)</p></td> 
       <td class="custom-bottom-td acenter" width="21.27%"><p style="text-align:center">30</p></td> 
       <td class="custom-bottom-td acenter" width="13.23%"><p style="text-align:center">Less than 8</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Source: Google Earth Engine catalogue.</p>
   </sec>
   <sec id="s5_3">
    <title>5.3. Procedure for Mapping Water Quality for Lake Victoria</title>
    <p>The study utilized Landsat imagery from five distinct years—2005, 2010, 2013, 2018, and 2023—acquired from the Google Earth Engine (GEE) cloud platform (see <xref ref-type="fig" rid="fig2">
      Figure 2
     </xref>). Simple JavaScript scripts were used within GEE to access and filter the images based on cloud cover, acquisition dates, and the geographic extent of Lake Victoria. The filtered images were then exported to Google Drive and later downloaded to local computer storage for further processing and analysis. In the subsequent steps, the acquired Landsat imagery was integrated into the QGIS interface for analysis. Quantum GIS (QGIS), (QGIS, 2025). A free and open-source cross-platform GIS software, was employed to map water quality in Lake Victoria using satellite imagery (raster datasets). Jupyter Notebook, (Python-based) was used in the project as a powerful tool for spatial data analysis, visualization, automation, and reproducible research. It provided an interactive environment for writing and executing Python code, visualizing geospatial data, and documenting the workflow in a single, shareable format. In this study, both QGIS and Jupyter Notebook were utilized at various stages of the analysis. The Water Pollution Index (WPI) classification was computed using the Raster Calculator tool in both QGIS and Jupyter Notebook. For the qualitative accuracy assessment, sample points were generated using a passive-random sampling method in Google Earth Pro. These sample points were then overlaid onto the classified WPI raster layers, and WPI values were extracted using QGIS’s raster extraction tools.</p>
    <fig id="fig2" position="float">
     <label>Figure 2</label>
     <caption>
      <title>Figure 2. A systematic flowchart describing the processes taken in mapping water quality in Lake Victoria from Landsat imagery acquisition, processing, extraction of water indices, and computation of water pollution index (WPI) and visualization of water pollution maps.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173451-rId17.jpeg?20250902091642" />
    </fig>
    <p>To align with the classification chart adopted in the study, the WPI rasters were subsequently reclassified. A qualitative accuracy assessment was conducted at each sampling station, and insights were derived from the extracted WPI values. This systematic approach enabled a thorough analysis of water quality dynamics in Lake Victoria, leading to meaningful conclusions based on both the satellite-derived classifications and ground-reference data.</p>
    <p>The data used for the qualitative accuracy assessment were sampled from various locations across Lake Victoria using a passive quasi-random sampling technique.</p>
    <p>This was done by the use of QGIS raster calculator. The following vegetation indices were extracted.</p>
    <p>1) Normalized Difference Water Index (NDWI) (<xref ref-type="bibr" rid="scirp.145065-40">
      Markogianni et al., 2020
     </xref>).</p>
    <p>This function calculates NDWI using the Green and Near Infrared (NIR) bands: Equation 3.1:</p>
    <p>
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            ) 
          </mo> 
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      </mrow> 
     </math></p>
    <p>2) Chlorophyll Index (CI) (<xref ref-type="bibr" rid="scirp.145065-62">
      Singh et al., 2024
     </xref>).</p>
    <p>This function calculates the Chlorophyll Index using the Green and Red bands: Equation 3.2:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
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     </math></p>
    <p>3) Turbidity Index (TI) (<xref ref-type="bibr" rid="scirp.145065-43">
      Mishra &amp; Mishra, 2012
     </xref>).</p>
    <p>This function calculates the Turbidity Index using the Red and NIR bands: Equation 3.3:</p>
    <p>
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     </math></p>
    <p>4) Normalized Difference Chlorophyll Index (NDCI) (<xref ref-type="bibr" rid="scirp.145065-56">
      Rawat et al., 2023
     </xref>).</p>
    <p>This function calculates NDCI using the Red Edge and Red bands: Equation 3.4:</p>
    <p>
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     </math></p>
    <p>Equation 3.5: Water Pollution Index (WPI) Calculation</p>
    <p>
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     </math></p>
    <p>The weightings assigned to the Normalized Difference Water Index (NDWI), Turbidity Index (TI), Chlorophyll Index (CI), and Normalized Difference Chlorophyll Index (NDCI) in the Water Pollution Index (WPI) equation ( 
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       </mo> 
       <mn>
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       </mn> 
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       </mo> 
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         40 
       </mn> 
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       </mo> 
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       </mi> 
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       </mi> 
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       </mi> 
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       </mo> 
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       </mi> 
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     </math>) were determined based on their relative contributions to water quality assessment, as informed by established literature (<xref ref-type="bibr" rid="scirp.145065-39">
      Liu et al., 2011
     </xref>; <xref ref-type="bibr" rid="scirp.145065-23">
      Gholizadeh &amp; Porhamidi, 2020
     </xref>), the NDWI, with the highest positive weight of 40, is prioritized due to its robust ability to delineate water bodies and detect changes in water content, making it a critical indicator of overall water presence and quality. The TI, weighted at 20, reflects the influence of suspended particles on water clarity, a key factor in pollution assessment, though less dominant than NDWI. The CI, assigned a negative weight of −30, accounts for the inverse relationship between chlorophyll concentration and water quality, as higher chlorophyll levels often indicate eutrophication and algal blooms, which degrade water quality. The NDCI, with a positive weight of 25, complements CI by capturing subtle variations in chlorophyll content using the red-edge band, enhancing the detection of phytoplankton dynamics. The base constant of 50 ensures the WPI remains within a practical range for interpretation. These weightings were calibrated to balance the sensitivity of each index to water pollution parameters, aligning with empirical findings from the referenced studies and the specific radiometric properties of LANDSAT imagery (<xref ref-type="bibr" rid="scirp.145065-19">
      Feng et al., 2023
     </xref>), Negative WPI values in remote sensing-based water quality assessments result from the weighted combination of multiple spectral indices—such as NDWI, TI, CI, and NDCI—in which pollutant indicators like chlorophyll-a concentration and turbidity often exert stronger influence than clarity indicators. This leads to a net negative output, particularly in highly polluted waters where elevated chlorophyll (via CI or NDCI) or sediment loads dominate the reflectance signal. However, negative values are not inherently invalid; they simply indicate the relative pollution severity within the index’s mathematical structure. To transform these raw values into interpretable pollution classes, this classification facilitates spatial and temporal comparison of water quality and enhances the utility of satellite-derived indices for environmental monitoring and policy-making (<xref ref-type="bibr" rid="scirp.145065-26">
      Guo et al., 2017
     </xref>).</p>
    <p>After the WPI was computed for every Landsat imagery used, they were reclassified as shown in <xref ref-type="table" rid="table3">
      Table 3
     </xref>.</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145065-"></xref>Table 3. Water Pollution Index classification scheme.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="25.22%"><p style="text-align:center">NO.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="42.73%"><p style="text-align:center">Class</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="32.05%"><p style="text-align:center">Symbology</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="25.22%"><p style="text-align:center">1</p></td> 
       <td class="custom-top-td acenter" width="42.73%"><p style="text-align:center">Good</p></td> 
       <td rowspan="4" class="custom-top-td acenter" width="32.05%"><p style="text-align:center"><p class="imgGroupCss_v"><img class=" imgMarkCss lazy" data-original="https://html.scirp.org/file/2173451-rId30.jpeg?20250902091643" /></p></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="25.22%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="42.73%"><p style="text-align:center">Medium</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="25.22%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="42.73%"><p style="text-align:center">Unhealthy</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="25.22%"><p style="text-align:center">4</p></td> 
       <td class="custom-bottom-td acenter" width="42.73%"><p style="text-align:center">Very unhealthy</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>The sample points were overlaid on each classified WPI map to provide spatial reference and assist in interpreting the distribution of pollution levels across Lake Victoria. This overlay helped visualize how specific sampling locations correspond to varying levels of water quality, thereby enhancing both the qualitative and quantitative assessment of the WPI data. By comparing the sample points against the classified colors (blue, yellow, orange, red), researchers could better understand how pollution is spatially distributed and how specific regions correlate with particular pollution intensities. Following the overlay, WPI values were extracted from the classified raster images using the bilinear interpolation method, which estimates the value at each point by averaging the values of surrounding pixels. This method ensures a more accurate representation of pixel values, especially in heterogeneous regions. The extraction process was performed using the raster-to-point tool in Quantum GIS (QGIS), allowing for a smooth conversion of raster data into discrete point data aligned with the sample locations. The extracted values were then compiled and saved as CSV files for further statistical analysis and tabular representation, enabling easier interpretation, cross-comparison, and reporting.</p>
   </sec>
  </sec><sec id="s6">
   <title>6. Results</title>
   <sec id="s6_1">
    <title>6.1. Water Pollution Information from Landsat 5 Imagery for 2010</title>
    <p>The 2010 Water Pollution Index (WPI) analysis of Lake Victoria using Landsat 5 imagery assessed water quality at 35 sampling points, classifying them into four categories: Good (Blue), Medium (Yellow), Unhealthy (Orange), and Very Unhealthy (Red). The WPI was computed using the formula 
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     </math>, which portrays key remote sensing indices to estimate pollution levels. Only four points—3 (1.12), 14 (1.63), 18 (4.15), and 25 (3.29)—were classified as “Good,” suggesting clean, mid-lake waters with minimal anthropogenic impact. These areas are marked in blue on the WPI map and represent potential reference zones for future conservation and monitoring efforts. Most sample points fell into the “Unhealthy” and “Very Unhealthy” categories, indicating widespread water degradation. “Unhealthy” WPI values ranged from −7 to −19.86, while “Very Unhealthy” points showed extreme values such as −30.73, −31.93, and as low as −74.54 at Point 21, the most contaminated site. These highly polluted zones were concentrated around major urban centers: Kisumu, Homa Bay, Migori, and Kisii in Kenya; Kampala and Entebbe in Uganda; and Mwanza and Musoma in Tanzania. Kisumu stood out due to its role as a port city with poor wastewater management, leading to nutrient and sediment accumulation in the Winam Gulf. Similarly, Kampala’s untreated effluent enters the lake via the Nakivubo and Katonga rivers, while Mwanza contributes industrial waste through the Mirongo River. Pollution levels were highest along the northern, northeastern, and southern shores, reflecting dense population, urban development, and industrial discharge, while the central lake exhibited relatively lower WPI values due to dilution and fewer direct pollution sources. The study demonstrates a clear correlation between urbanization and declining water quality, with spatial clustering pointing to both point and diffuse pollution sources. It highlights the utility of satellite-based remote sensing for large-scale water quality monitoring and calls for urgent policy action, cross-border cooperation, and improved watershed management through regional frameworks like the Lake Victoria Basin Commission and the East African Community.</p>
    <p>Ref: <xref ref-type="table" rid="tableA1">
      Table A1
     </xref> (annexed).</p>
    <p>
     <xref ref-type="fig" rid="fig3">
      Figure 3
     </xref> shows the water pollution categorized in WPI values as highlighted in <xref ref-type="table" rid="table3">
      Table 3
     </xref>. The result is from the extraction of WPI values from the Landsat 5 scene for Lake Victoria in the year 2010.</p>
    <fig id="fig3" position="float">
     <label>Figure 3</label>
     <caption>
      <title>Figure 3. A map showing the Water pollution (WPI) categorization in 2010 for Landsat 5 sample imagery.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173451-rId32.jpeg?20250902091646" />
    </fig>
   </sec>
   <sec id="s6_2">
    <title>6.2. Water Pollution Information from Landsat Imagery</title>
    <p>
     <xref ref-type="table" rid="table3">
      Table 3
     </xref> presents the classification system used for interpreting the Water Pollution Index (WPI) in the context of water quality assessment. It categorizes pollution levels into four distinct classes: Good, Medium, Unhealthy, and Very Unhealthy, each associated with a specific numerical code from 1 to 4. These classes help translate quantitative WPI values into qualitative assessments of ecological health. The “Good” category (No. 1) signifies areas with low or negligible pollution, indicating favorable water conditions, while the “Medium” class (No. 2) denotes zones experiencing moderate environmental stress, often due to limited human activity. Each class is color-coded to enhance visual interpretation on thematic maps: blue for Good, yellow for Medium, orange for Unhealthy, and red for Very Unhealthy. The “Unhealthy” (No. 3) and “Very Unhealthy” (No. 4) categories reflect increasing levels of pollution, with red zones being the most ecologically degraded and in need of urgent attention. This symbology enables an intuitive spatial analysis of water quality conditions, helping identify critical hotspots, monitor trends over time, and guide decision-making for lake management and environmental protection efforts.</p>
   </sec>
   <sec id="s6_3">
    <title>
     <xref ref-type="bibr" rid="scirp.145065-"></xref>6.3. Water Pollution Information from Landsat 7 Imagery for 2005</title>
    <p>In 2005, Landsat 7 satellite imagery was used to assess water quality across Lake Victoria through the Water Pollution Index (WPI), derived from a combination of remote sensing indices—NDWI, Turbidity Index, Chlorophyll Index (CI), and Normalized Difference Chlorophyll Index (NDCI). WPI values for 35 geospatial sample points ranged from −11.76 to −46.91 and were categorized into four pollution levels: Blue (Good), Yellow (Moderate), Orange (Unhealthy), and Red (Very Unhealthy). The cleanest waters were found in areas like Placemark 14 (−11.76), Placemark 5 (−14.14), and Placemark 16 (−17.32), suggesting low human impact and minimal nutrient inflow. These zones, primarily located in relatively undisturbed parts of the lake, reflect better ecological conditions, possibly due to limited sediment runoff and fewer anthropogenic pressures. Conversely, a significant number of sample points showed unhealthy to very unhealthy pollution levels, especially in the orange and red categories. The most degraded areas included Placemark 2 (−46.91), 27 (−46.03), and 35 (−43.67), highlighting zones suffering from chronic pollution, likely due to untreated wastewater, algal blooms, and nutrient overloading. These critical pollution hotspots were often found near major urban and industrial centers. On the Kenyan side, Kisumu, Homa Bay, and Migori were strongly associated with high WPI values due to urban wastewater, industrial discharge, and agricultural runoff—particularly affecting Winam Gulf. In Uganda, cities such as Kampala, Entebbe, and Jinja heavily polluted surrounding lake areas like Murchison Bay. Tanzanian towns like Mwanza and Musoma also contributed to the lake’s pollution, although some southern zones (e.g., Bunda, Kisesa) showed moderate to cleaner conditions, likely benefiting from lower population density or natural buffers. Overall, the WPI imagery revealed that a majority of Lake Victoria’s sampled sites were in a state of moderate to severe pollution, with only a handful exhibiting relatively good water quality. The spatial trend indicated that pollution was most intense along the northern and northeastern shores—particularly around urban hubs in Uganda and western Kenya—while southern Tanzanian zones were comparatively less impacted. This analysis underscores the urgent need for cross-border collaboration in watershed management, investment in sewage treatment infrastructure, and the integration of satellite monitoring for early detection and long-term tracking. Such efforts are critical for mitigating further environmental degradation and guiding sustainable management policies for the Lake Victoria basin. <xref ref-type="fig" rid="fig4">
      Figure 4
     </xref> shows the distribution of water pollution over Lake Victoria in 2005. Landsat 7 imagery was used as the primary data.</p>
   </sec>
   <sec id="s6_4">
    <title>6.4. Water Pollution Information from Landsat 8 Imagery for 2013</title>
    <fig id="fig4" position="float">
     <label>Figure 4</label>
     <caption>
      <title>Figure 4. A map showing the Water pollution (WPI) categorization in 2005 for Landsat 7 sample imagery.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173451-rId34.jpeg?20250902091649" />
    </fig>
    <p>chlorophyll levels, water availability, and algae content. While the numerical values fell outside a normalized scale, visual classification into Blue (Good), Yellow (Moderate), Orange (Unhealthy), and Red (Very Unhealthy) allowed qualitative interpretation. The highest water quality was observed at Point 6 (−8.66) and Point 24 (−30.53), suggesting isolated areas of better natural circulation or less anthropogenic interference. In contrast, Points 29 (−330.64) and Point 34 (−259.97) presented as computational outliers but visually still indicated poor water conditions. A geographic breakdown of the points shows notable pollution near major towns. In Kenya, Kisumu and the Winam Gulf displayed alarmingly low WPI values (−44.12 to −40.70 at Points 2 - 5), likely due to urban runoff and industrial discharges. Points 10 to 14 in the central north (e.g., near Homa Bay and Kendu Bay) showed WPI values from −65.02 to −57.99, reflecting consistently poor water quality possibly caused by sedimentation and eutrophication. Points in the southern region near Mwanza, Tanzania, also showed significant degradation, particularly Point 30 (−127.06) and Point 34 (−259.97), highlighting intense pollution from untreated waste, agriculture, and mining. A spatial interpolation map further categorized the lake’s WPI into four bands: Blue (0.00 - 0.25), Yellow (0.26 - 0.50), Orange (0.51 - 0.75), and Red (0.76 - 1.00), based on normalized pollution severity. Of the 35 locations, 8 fell in the Blue (Good) zone, mostly in the northwest, and 11 in Yellow, mostly central. The southern basin had 9 Orange-class points, while the southeast and southwest had 7 Red-class sites, confirming pollution hotspots near urban centers and agricultural zones. This gradient aligned with land use, urbanization, and proximity to effluent discharge points. Country-level urban analysis confirms that Kisumu (Kenya), Jinja and Kampala (Uganda), and Mwanza (Tanzania) are major contributors to the lake’s deteriorating quality. Kenya’s Sondu and Nyando rivers, and Uganda’s Nakivubo Channel draining into Murchison Bay, carry industrial and domestic effluents directly into the lake. Tanzania’s southern coast, particularly around Magu, Bunda, and Musoma, correlates with high WPI due to runoff from agriculture and livestock. While some areas like Bukoba and Entebbe show intermediate WPI, most areas near major urban centers were classified in orange or red zones. The 2013 WPI analysis from satellite data provides essential insight into Lake Victoria’s transboundary pollution crisis as shown in <xref ref-type="fig" rid="fig5">
      Figure 5
     </xref>. The widespread degradation suggests that environmental management cannot be country-specific but rather demands regional cooperation among Kenya, Uganda, and Tanzania. The East African Community (EAC) and Lake Victoria Basin Commission (LVBC) must lead in enforcing standardized monitoring, pollution control, and conservation protocols. Despite issues with data normalization, the study confirms remote sensing’s effectiveness in identifying pollution zones and guiding interventions aimed at restoring the lake’s ecological health.</p>
    <fig id="fig5" position="float">
     <label>Figure 5</label>
     <caption>
      <title>Figure 5. A map showing the Water pollution (WPI) categorization in 2013 for Landsat 8 sample imagery.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173451-rId35.jpeg?20250902091649" />
    </fig>
   </sec>
   <sec id="s6_5">
    <title>6.5. Water Pollution Information from Landsat 8 Imagery for 2018</title>
    <p>The analysis of the Water Pollution Index (WPI) from Landsat 8 imagery for 2018 across 35 sites on Lake Victoria reveals stark differences in water quality. The WPI, calculated using a formula integrating NDWI, TI, CI, and NDCI indices, categorized water quality into four levels: Good (Blue), Medium (Yellow), Unhealthy (Orange), and Very Unhealthy (Red). Only two points, 14 and 24, fell under the Good category, reflecting low turbidity and chlorophyll with minimal anthropogenic influence. Notably, no sites were classified as Medium, suggesting a sharp divide between clean and polluted areas. This absence of transitional zones implies that once pollution begins, degradation accelerates quickly. Eight sites fell within the Unhealthy (Orange) range, mostly near river mouths, suburban zones, or agricultural regions. These areas exhibit moderate pollution, suggesting early warning signs where corrective actions could still be effective. The pollution here, although concerning, hasn’t overwhelmed the lake’s resilience completely. Sediment and nutrient runoff are likely the main contributors, yet chlorophyll and turbidity levels remain relatively low. Such regions are crucial targets for preventive interventions before they shift irreversibly into the Very Unhealthy category. A total of 25 sites were classified as Very Unhealthy (Red), signaling extreme pollution and environmental stress. These sites likely suffer from hypereutrophic conditions, marked by algal blooms, anoxic waters, and fish kills. Points like 12 and 35 recorded the lowest WPI values, suggesting possible ecological dead zones with stagnation, high nutrient concentration, and low biodiversity. These critically degraded zones often align with urban, industrial, or river inflow areas, such as Kisumu, Homa Bay, and major river outlets like Nyando and Nzoia, where untreated waste and runoff are prevalent. The spatial distribution of WPI data emphasizes Lake Victoria’s overall environmental deterioration, with 94% of the sampled sites falling into Unhealthy or Very Unhealthy categories. This severe pollution is driven largely by human activities, including untreated sewage, agricultural runoff, and industrial discharges. The findings stress the need for urgent intervention through catchment management, wetland restoration, wastewater treatment enforcement, and satellite-based monitoring. While a few clean offshore areas still exist, they are exceptions and demonstrate that ecological recovery is possible if proper controls are implemented. Lastly, the variation in pollution aligns with land use and urbanization patterns around the lake. Major cities like Kisumu, Kampala, Jinja, Mwanza, and Musoma, along with smaller growing towns, are key pollution sources. These areas often lack proper waste infrastructure, and wetlands—natural filters for nutrients—have been degraded. The bimodal WPI distribution (extremely good or very poor) indicates either abrupt environmental collapse or ineffective regulation. A comprehensive lake governance strategy, harmonized across the three countries, supported by satellite tools and community involvement, is essential for reversing the pollution trend and safeguarding Lake Victoria’s future as shown in <xref ref-type="fig" rid="fig6">
      Figure 6
     </xref>.</p>
    <fig id="fig6" position="float">
     <label>Figure 6</label>
     <caption>
      <title>Figure 6. A map showing the Water pollution (WPI) categorization in 2018 for Landsat 8 sample imagery.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173451-rId36.jpeg?20250902091650" />
    </fig>
   </sec>
   <sec id="s6_6">
    <title>6.6. Water Pollution Information from Landsat 9 Imagery for 2023</title>
    <p>The 2023 Water Pollution Index (WPI) assessment of Lake Victoria, derived from Landsat 9 satellite imagery using remote sensing indices (NDWI, TI, CI, and NDCI), provides an in-depth spatial overview of water quality across 35 strategically distributed sampling points. The WPI values ranged widely from +69.79 (indicating good water quality) to −130.17 (indicating severe pollution), and were classified into four qualitative categories: Blue (Good), Yellow (Medium), Orange (Unhealthy), and Red (Very Unhealthy). These categories revealed a stark picture: only one site (Point 5) exhibited good water quality, while 25 of the 35 sites were classified as Very Unhealthy. This distribution demonstrates a widespread degradation of water quality, especially in near shore and central regions of the lake, commonly adjacent to urban and river inflow zones. The only site categorized as Good (Blue), Point 5, is located offshore in a relatively isolated, part of the lake. Its WPI value of +69.79 suggests minimal pollutant influence, likely due to its distance from land-based pollution sources and deeper water that promotes greater dilution. Moderately polluted zones were identified at Points 3 and 4, with WPI values of 17.67 and 41.92 respectively, placing them in the Medium (Yellow) category. These zones may benefit from hydrodynamic mixing and less direct discharge of pollutants, reflecting limited anthropogenic interference. In contrast, seven sampling locations (Points 2, 9, 23, 24, 25, 27, and 32) were classified as Unhealthy (Orange), primarily located in the western and southern sectors of the lake. These areas likely suffer from diffuse sources of pollution such as agricultural runoff, poorly managed domestic waste, and sediment transport. The Red category, representing Very Unhealthy conditions, dominates the WPI classification map. Sites such as Point 11 (−130.17) and Point 20 (−91.66) were identified as the most polluted, suggesting hotspots of eutrophication and potential harmful algal blooms. Several points within the central and western basins, particularly Points 12 through 19, were significantly affected, with WPI values ranging from −61.42 to −85.85. These locations are situated near the mouths of major rivers like the Sio and Nzoia, which transport high sediment and nutrient loads from upstream land-use activities, including farming and deforestation. Similar high-pollution conditions were also recorded in southern sites (e.g., Points 28, 29, 30, and 34), which may reflect the compounded effects of poor catchment management, livestock rearing, and increased population pressure on the surrounding environment. From a geographical perspective, the pollution is widely distributed across the lake’s international borders. In Kenya, urban centers such as Kisumu, Homa Bay, Mbita, Migori, and Kendu Bay exhibit strong pollution signatures, largely due to domestic sewage, industrial effluent, and nutrient-laden runoff from agricultural fields. River inflows from the Nyando and Sondu rivers intensify this condition. On the Ugandan side, Jinja, Kampala (via the Nakivubo Channel), and Entebbe contribute to heavy nutrient and waste loads entering the lake, particularly into Murchison Bay. Rapid peri-urban expansion in Mukono and Masaka also exacerbates non-point pollution. In Tanzania, cities like Mwanza, Musoma, and Bukoba contribute both industrial waste and agricultural runoff, with particularly high pollution observed in the Ilemela and Nyamagana districts. Southern zones, such as Magu and Bunda, also exhibit Very Unhealthy WPI values due to intensive farming and livestock activities. In summary, the WPI classification from Landsat 9 reveals a grim status for Lake Victoria’s water quality, <xref ref-type="fig" rid="fig7">
      Figure 7
     </xref> with more than 70% of sampled sites falling under the Very Unhealthy category. This highlights the urgent need for coordinated regional interventions, especially through institutions such as the Lake Victoria Basin Commission (LVBC) and the East African Community (EAC). Efforts must include improved watershed management, enforcement of pollution control regulations, promotion of best practices in agriculture, and implementation of real-time water quality monitoring systems. Although isolated areas such as Point 5 indicate the lake’s resilience, they are increasingly rare and shrinking. The remote sensing-based WPI tool demonstrates its value in capturing the lake’s spatial pollution dynamics and provides a scientific foundation for policy decisions aimed at reversing the lake’s ongoing ecological degradation.</p>
   </sec>
  </sec><sec id="s7">
   <title>7. Practical Implications and Limitations of the Study</title>
   <p>This study highlights the transformative role of remote sensing technologies in enhancing water quality monitoring, especially in vast and dynamic freshwater</p>
   <fig id="fig7" position="float">
    <label>Figure 7</label>
    <caption>
     <title>Figure 7. A map showing the Water pollution (WPI) categorization in 2023 for Landsat 9 sample imagery.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173451-rId37.jpeg?20250902091652" />
   </fig>
   <p>systems like Lake Victoria. By leveraging satellite data from the Landsat missions and processing it using platforms such as Google Earth Engine (GEE) and Python, the study demonstrates that timely, consistent, and cost-effective water quality assessments are achievable even in resource-constrained environments. The outputs—comprising Water Pollution Index (WPI) maps and pollution trend analyses—can serve as crucial tools for policymakers, environmental agencies such as NEMA, and regional bodies like the Lake Victoria Basin Commission (LVBC) to make informed decisions regarding pollution control and sustainable water resource management. The study also provides a practical framework that can be adapted and scaled to other water bodies across Africa and globally. The use of spectral indices like NDWI, SSI, and TI as proxies for chlorophyll-a, suspended sediments, and turbidity offers a replicable method for continuous monitoring. This is particularly valuable in regions where conventional monitoring infrastructure is sparse or outdated. Furthermore, the integration of open-source platforms ensures that the methodology remains accessible to institutions and researchers in developing countries, thereby promoting greater regional capacity for environmental monitoring and data-driven governance. However, the study faced certain limitations, particularly regarding spatial and temporal resolution. The 30-meter spatial resolution of Landsat imagery, while adequate for large-scale trends, may not capture fine-scale pollution sources such as near-shore discharges or localized industrial effluents. Similarly, the 16-day revisit cycle may overlook short-term pollution events, such as those triggered by storms or sewage overflows. Another limitation stems from the reliance on remotely sensed proxies, which, while informative, are not direct measurements and may be influenced by atmospheric conditions or sensor limitations. These challenges highlight the need for hybrid systems that combine satellite data with in-situ measurements and citizen science contributions for improved water quality assessment.</p>
  </sec><sec id="s8">
   <title>8. Conclusion</title>
   <p>The study successfully demonstrates that remote sensing, when coupled with geospatial analytics, offers a viable alternative to traditional water quality monitoring methods for Lake Victoria. Through the calculation of spectral indices and development of a Water Pollution Index (WPI), it was possible to visualize and quantify pollution levels across space and time. The results revealed a clear pattern of degradation, particularly in urban and industrialized zones, such as Kisumu and Mwanza, where elevated levels of turbidity and chlorophyll-a were consistently detected. These findings not only affirm the value of Earth observation technologies but also underscore the pressing environmental challenges facing Lake Victoria. A key contribution of the research is the development of a reproducible methodology that supports real-time and large-area water quality monitoring. The integration of cloud-based tools (GEE), programming environments (Python), and GIS software (QGIS) creates a powerful workflow that can be adapted by environmental agencies, academic researchers, and development organizations. By shifting from reactive to proactive environmental monitoring, stakeholders can implement timely interventions, track policy impacts, and promote sustainable practices among local communities and industries. Such geospatial intelligence is essential for achieving Sustainable Development Goals, particularly SDG 6 on clean water and sanitation. In conclusion, this study provides compelling evidence that satellite-based remote sensing is not only a complementary tool but a necessary asset in modern water resource management. As climate change and population growth continue to exert pressure on freshwater ecosystems, embracing innovative technologies will be essential for safeguarding environmental and public health. The adoption of such integrative monitoring systems, combined with robust policy frameworks and regional cooperation, offers a pathway to restore and preserve the ecological integrity of Lake Victoria and similar water bodies across the globe.</p>
  </sec><sec id="s9">
   <title>Acknowledgements</title>
   <p>The authors are grateful to the Department of Geomatic Engineering and Geospatial Information Systems at JKUAT for their technical support and enabling research environment. Special thanks go to the Google Earth Engine, Python programming language, and the U.S. Geological Survey (USGS) platform for providing access to high-quality satellite data, cloud computing resources, and open-source tools that were instrumental in data analysis, image processing, and computation of indices used in this study. I deeply appreciate my parents, Joseph Nyongesa and Berita Sing’oro, whose financial and moral support throughout the master’s. Lastly, I sincerely thank my mentors, siblings, and friends for their unwavering encouragement and support, which greatly contributed to the successful completion of this research.</p>
  </sec><sec id="s10">
   <title>Author Contribution</title>
   <p>Gideon Wafula Simiyu: conceptualization, methodology, software, data curation, writing, original draft preparation, visualization, investigation. Josphat Mwatelah: conceptualization and design of the study, supervision of the research, reviewing, writing and editing the manuscript, granting final approval of the version to be submitted.</p>
  </sec><sec id="s11">
   <title>Appendix</title>
   <table-wrap id="table3">
    <label>
     <xref ref-type="table" rid="table3">
      Table 3
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.145065-"></xref>Ref: Table A1 (annexed).</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td custom-top-td acenter" width="9.54%"><p style="text-align:center">gID</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="18.09%"><p style="text-align:center">WPI_2005</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="18.09%"><p style="text-align:center">WPI_2010</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="18.09%"><p style="text-align:center">WPI_2013</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="18.09%"><p style="text-align:center">WPI_2018</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="18.10%"><p style="text-align:center">WPI_2023</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="9.54%"><p style="text-align:center">1.0</p></td> 
      <td class="custom-top-td acenter" width="18.09%"><p style="text-align:center">−34.2399</p></td> 
      <td class="custom-top-td acenter" width="18.09%"><p style="text-align:center">−30.7259</p></td> 
      <td class="custom-top-td acenter" width="18.09%"><p style="text-align:center">−62.6316</p></td> 
      <td class="custom-top-td acenter" width="18.09%"><p style="text-align:center">−77.667</p></td> 
      <td class="custom-top-td acenter" width="18.10%"><p style="text-align:center">−59.4286</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">2.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−46.9078</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−22.5217</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−63.4532</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−39.9888</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−35.1199</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">3.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−23.252</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">1.1196</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−44.1244</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−30.549</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">40.6863</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">4.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−22.7559</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−15.4919</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−50.2116</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−40.6876</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">17.6657</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">5.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−21.7091</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−3.8293</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−40.7023</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−41.2858</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">41.9226</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">6.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−14.1409</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−31.9257</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−8.6578</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−31.888</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">69.7924</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">7.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−22.91</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−5.0372</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−47.7316</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−62.1315</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−68.1842</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">8.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−30.4425</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−2.2611</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−53.3179</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−83.3205</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−68.1894</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">9.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−17.316</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−10.2719</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−99.7855</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−47.4283</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−75.8059</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">10.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−36.9254</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−9.9106</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−65.0236</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−62.6422</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−38.1952</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">11.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−42.704</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−14.091</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−71.1888</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−68.0235</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−63.7381</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">12.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−33.1691</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−26.2474</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−80.2899</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−88.4651</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−130.171</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">13.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−33.9768</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−3.7917</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−68.6247</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−68.7241</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−71.3358</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">14.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−22.3216</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">1.6285</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−57.9977</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−44.5137</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−63.5004</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">15.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−11.7581</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−7.6712</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−49.7214</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">50.7657</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−78.0515</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">16.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−18.6399</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−9.5741</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−99.9985</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−55.3239</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−78.1547</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">17.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−24.5488</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−8.7728</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−66.6176</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−24.6436</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−61.4202</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">18.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−22.378</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">4.1473</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−60.4563</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−64.2122</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−64.4031</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">19.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−30.1742</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−14.1078</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−72.0845</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−70.7343</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−67.8555</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">20.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−34.69</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−14.0639</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−54.6356</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−70.1969</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−85.8479</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">21.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−17.1818</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−74.5356</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−45.7397</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−62.5303</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−91.6573</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">22.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−37.1593</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−10.9599</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−45.6324</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−59.9962</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−64.8446</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">23.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−37.0463</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−19.2341</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−59.4508</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−68.8175</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−71.7097</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">24.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−25.8234</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−5.4598</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−58.3865</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−65.3073</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−54.7634</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">25.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−35.4377</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">3.2949</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−30.527</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">230.9658</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−48.4696</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">26.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−44.4978</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−18.9322</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−65.1571</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−63.7735</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−64.2563</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">27.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−35.1726</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−9.574</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−63.0624</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−76.4997</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−57.9494</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">28.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−46.0275</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−20.9651</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−70.6321</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−75.9252</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−71.2131</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">29.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−35.64</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−12.6307</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−40.0924</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−38.2681</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−47.6291</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">30.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−34.8488</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−6.4431</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−330.641</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−69.98</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−90.8133</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">31.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−25.3254</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−7.8771</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−127.062</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−75.145</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−69.9497</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">32.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−41.7544</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−19.8618</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−84.5524</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−74.7565</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−61.5407</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">33.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−43.6743</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−19.1588</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−62.8688</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−63.2626</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−59.7774</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="9.54%"><p style="text-align:center">34.0</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−21.6765</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−5.5949</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−48.7398</p></td> 
      <td class="acenter" width="18.09%"><p style="text-align:center">−63.1059</p></td> 
      <td class="acenter" width="18.10%"><p style="text-align:center">−42.1859</p></td> 
     </tr> 
     <tr> 
      <td class="custom-bottom-td acenter" width="9.54%"><p style="text-align:center">35.0</p></td> 
      <td class="custom-bottom-td acenter" width="18.09%"><p style="text-align:center">−39.7252</p></td> 
      <td class="custom-bottom-td acenter" width="18.09%"><p style="text-align:center">−14.5781</p></td> 
      <td class="custom-bottom-td acenter" width="18.09%"><p style="text-align:center">−259.972</p></td> 
      <td class="custom-bottom-td acenter" width="18.09%"><p style="text-align:center">−84.2087</p></td> 
      <td class="custom-bottom-td acenter" width="18.10%"><p style="text-align:center">−94.3657</p></td> 
     </tr> 
    </table>
   </table-wrap>
  </sec>
 </body><back>
  <ref-list>
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