Difference between revisions of "Team:Lambert GA/CALM RESULTS"

Latest revision as of 01:34, 18 October 2018

C A L M

R E S U L T S

Results

Figure 1: Cross-validation and Holdout Error for four XGBoost forecasting models

Cross-validation and hold-out error for each of our four models. Cross-validation error was obtained by taking the root of the mean of the model’s performance across five rolling-window cross-validation folds. Hold out error was obtained by calculating the root mean squared error for predictions only on the holdout set.

Our models are able to predict the exact number of cases any given governorate in Yemen will experience across multiple two-week intervals, with all of our models being able to predict within a margin of 5 cholera cases per 10,000 people in the hold-out set. Hold-out error represents our model’s performance in real-world simulation, as the hold-out dataset was left untouched until final model evaluation. Our cross-validation error, similarly low, represents our model’s performance on a reliable, but not entirely untouched dataset, as the cross-validation dataset was used for hyperparameter tuning and feature selection. The mean number of cases any given governorate in Yemen experienced within a two week span was approximately 19.148, with the standard deviation being 21.311. As, in real-world simulation, all four of our predictive models are able to predict around ⅕ of a standard deviation of the number cases, our predictions are robust and reliable across all time frames. However, as our predictive timeframe passes farther into the future, the cross-validation error decreases and the hold-out error increases. This could be seen as a sign of marginal overfitting, but can also be attributed to the time-shift in data as the predictive range is farther ahead: cholera 6-8 weeks ahead of a given date can look different than 2-4 weeks ahead, though 4 weeks later the 2-4 week model will see the 6-8 week data.

Figure 2: XGBoost Predictions of New Cases 0 to 2, 2 to 4, 4 to 6, and 6 to 8 Weeks in Advance for Five Governorates

Our forecasts for each time frame vs a sliding window of real cases. The window represents a two-week interval corresponding to the forecast range with single data points, sliding over the data and summing up the cholera cases falling in the interval. For example, in the 0-2 week forecast plot, on September 15th we predicted there would be 92 new cholera cases per 10,000 people in the next two weeks in the governorate of YE-SN (Sana’a). Then, two weeks later, shown as the red true-value, Sana’a experienced ~92 cases. However, the date for the true-value datapoint remains September 15th, as the value describes the number of cases 0-2 weeks in the future. The red value refers to the true value, or the number of new cholera cases actually experienced by the respective governorate in the corresponding time range (2-4 weeks from present, 4-6 weeks from present, etc.). Cross-validation predictions (green) were completed with a rolling-window method, as described earlier (see methods), and the hold-out predictions (blue) were done separately, with the model training on all data previous to the holdout set.

Our four model system is able to accurately and comprehensively forecast cholera outbreaks across 21 governorates exhibiting heterogeneous behaviors. Five governorates were chosen to represent the entire range of behavior exhibited by all 21 of Yemen’s governorates. YE-AM (Amran), YE-DA (Dhale), and YE-MW (Al Mahwit) experienced the greatest cumulative number of cholera cases from May 22nd to February 18th, respectively, making them three of the four governorates most affected by cholera overall in the given timeframe. These three governorates exhibit behavior highly similar to the other governorates, albeit at a higher scale. Our accurate delineation of the outbreak across all four time frames in these three governorates shows the usefulness of our models in the general case. On the other hand, YE-SA and YE-RA present a rare and interesting case - a sudden outbreak. As our predictive range increases, it becomes more difficult to predict sudden spikes, due to either a lack of information many weeks prior or the events preceding a sharp outbreak not having occurred yet. As a result, longer range models seem to predict sharp outbreaks with a certain lag. This can be seen from the 4-6 week model’s forecasting of the YE-RA outbreak, which shows an upward trend, but not a full spike being predicted. However, this is where the combination of all four of our models becomes most useful. While long-range models cannot easily predict outbreaks, our shorter-range models are able to pick up the slack once the outbreak becomes closer. Specifically, our 0-2 week forecasting model is able to predict incidence spikes in YE-RA and YE-SA, so even if our long-range models were unable to predict the outbreak immediately, we would still detect the outbreak at a later date.

Figure 3: Cumulative Cholera Cases for 5 Governorates.

Other models look to forecast the total cholera cases Yemen may experience (Nishiura, 2017) with some models providing governorate-specific (or even geographically smaller) predictions (Cole, 2018). While the objective of our models is to predict new cases (as to not simply follow linear trends and be able to predict outbreak spikes), we are able to convert our predictions to total cases through simple reverse differencing. Using this method, we are able to accurately delineate the course of the Yemeni outbreak. Figure 1.2 illustrates this on a representative sample of five Yemeni governorates.

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-                C A L M <br><br><br><br>  D A T A   &   R E S U L T S
+                C A L M <br><br><br><br> R E S U L T S
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-                             <b><a style="color:black; text-decoration: none; line-height:1.1;" href="#target1">OVERVIEW</a></b>
+                             <b><a style="color:black; text-decoration: none; line-height:1.1;" href="#target4">RESULTS</a></b>
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-                            <b><a style="color:black; text-decoration: none; line-height:1.1;" href="#target2">COLOR Q APP</a></b>
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-                      <div id="link">
-                            <b><a style="color:black; text-decoration: none; line-height:1.1;" href="#target3">CALM</a></b>
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-<div id="subheading1">
-<b>Cholera Epidemiological Data</b>
+<br><br>
+<div id="target4"></div>
+<div id="subheading4">
+<b>Results
+</b>
 </div>
+<br><br>
+<div id="content4">
+<div style="font-size:12px">Figure 1: Cross-validation and Holdout Error for four XGBoost forecasting models </div>
+<div style="text-align:center"><img src="https://static.igem.org/mediawiki/2018/9/90/T--Lambert_GA--CALMResults.png" style = "width:80%;"></div>
 <br>
+<div style="font-size:12px;"><i>Cross-validation and hold-out error for each of our four models. Cross-validation error was obtained by taking the root of the mean of the model’s performance across five rolling-window cross-validation folds. Hold out error was obtained by calculating the root mean squared error for predictions only on the holdout set. </i></div>
 <br>
-<div id="content1">
+Our models are able to predict the exact number of cases any given governorate in Yemen will experience across multiple two-week intervals, with all of our models being able to predict within a margin of 5 cholera cases per 10,000 people in the hold-out set. Hold-out error represents our <b>model’s performance in real-world simulation</b>, as the hold-out dataset was left untouched until final model evaluation. Our cross-validation error, similarly low, represents our model’s performance on a reliable, but not entirely untouched dataset, as the cross-validation dataset was used for hyperparameter tuning and feature selection. The mean number of cases any given governorate in Yemen experienced within a two week span was approximately 19.148, with the standard deviation being 21.311. As, in real-world simulation, all four of our predictive models are able to <b>predict around ⅕ of a standard deviation of the number cases</b>, our predictions are <b>robust and reliable across all time frames</b>. However, as our predictive timeframe passes farther into the future, the cross-validation error decreases and the hold-out error increases. This could be seen as a sign of marginal overfitting, but can also be attributed to the time-shift in data as the predictive range is farther ahead: cholera 6-8 weeks ahead of a given date can look different than 2-4 weeks ahead, though 4 weeks later the 2-4 week model will see the 6-8 week data.
-&emsp;Cholera case and death statistics are reported by the World Health Organization (WHO) where health experts and researchers work directly with Yemeni health authorities at both the country and local level. Through this direct connection, the WHO is able to record all reported cholera cases and deaths caused by cholera (WHO presence in Yemen, 2018). The data, collected by the WHO, was accessed through the Humanitarian Data Exchange (https://data.humdata.org /group/yem). It provided reports of accumulated new cholera cases and deaths per governorate from up to May 22, 2017, to February 18, 2018.
-<br><br>
-&emsp;Past cholera cases and deaths were included with the simple assumption that they would be predictive of future cases. Vibrio cholerae requires aquatic environments and can transfer between humans through the transfer of bodily fluids. Thus, the incidence of cholera in one region can indicate the contamination of several food and water sources and therefore indicate a further spread of cholera (Cholera - Vibrio cholerae infection).
-<br><br>
-</div>
+<br>
+<br>
+<div style="font-size:12px">Figure 2: XGBoost Predictions of New Cases 0 to 2, 2 to 4, 4 to 6, and 6 to 8 Weeks in Advance for Five Governorates </div>
+<div style="text-align:center"><img src="https://static.igem.org/mediawiki/2018/8/86/T--Lambert_GA--CALMLegend.png" style = "width:30%;"></div>
+<div style="text-align:center"><img src="https://static.igem.org/mediawiki/2018/d/dd/T--Lambert_GA--CALMcombined_figure.png" style = "width:70%;"></div>
+<div style="font-size:12px;"><i>Our forecasts for each time frame vs a sliding window of real cases. The window represents a two-week interval corresponding to the forecast range with single data points, sliding over the data and summing up the cholera cases falling in the interval. For example, in the 0-2 week forecast plot, on September 15th we predicted there would be 92 new cholera cases per 10,000 people in the next two weeks in the governorate of YE-SN (Sana’a). Then, two weeks later, shown as the red true-value, Sana’a experienced ~92 cases. However, the date for the true-value datapoint remains September 15th, as the value describes the number of cases 0-2 weeks in the future. The red value refers to the true value, or the number of new cholera cases actually experienced by the respective governorate in the corresponding time range (2-4 weeks from present, 4-6 weeks from present, etc.). Cross-validation predictions (green) were completed with a rolling-window method, as described earlier (see methods), and the hold-out predictions (blue) were done separately, with the model training on all data previous to the holdout set. </i></div>
+Our four model system is able to accurately and comprehensively forecast cholera outbreaks across 21 governorates exhibiting heterogeneous behaviors. Five governorates were chosen to represent the entire range of behavior exhibited by all 21 of Yemen’s governorates. YE-AM (Amran), YE-DA (Dhale), and YE-MW (Al Mahwit) experienced the greatest cumulative number of cholera cases from May 22nd to February 18th, respectively, making them three of the four governorates most affected by cholera overall in the given timeframe. These three governorates exhibit behavior highly similar to the other governorates, albeit at a higher scale. Our accurate delineation of the outbreak across all four time frames in these three governorates shows the usefulness of our models in the general case. On the other hand, YE-SA and YE-RA present a rare and interesting case - a sudden outbreak. As our predictive range increases, it becomes more difficult to predict sudden spikes, due to either a lack of information many weeks prior or the events preceding a sharp outbreak not having occurred yet. As a result, longer range models seem to predict sharp outbreaks with a certain lag. This can be seen from the 4-6 week model’s forecasting of the YE-RA outbreak, which shows an upward trend, but not a full spike being predicted. However, this is where the combination of all four of our models becomes most useful. While long-range models cannot easily predict outbreaks, our shorter-range models are able to pick up the slack once the outbreak becomes closer. Specifically, our 0-2 week forecasting model is able to predict incidence spikes in YE-RA and YE-SA, so even if our long-range models were unable to predict the outbreak immediately, we would still detect the outbreak at a later date.
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-<b>Rainfall Data</b>
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-&emsp;As <i>Vibrio cholerae</i> is indigenous to aquatic environments, rainfall is a significant predictor of the transmission of cholera. In areas exposed to heavy rainfall, through the collapse of sanitary and health infrastructure, interaction between contaminated water and human activities accelerates, resulting in an epidemic (Jutla et al., 2013). Yemen represents this scenario, where when exposed to heavy rainfall and deterioration of health facilities, there was a surge in cholera cases (Camacho et al., 2018). Global Lancet Researchers analyzing surveillance date for the Yemen Cholera Outbreak from 2016 to 2018 have found a positive and nonlinear association between weekly rainfall and suspected cholera incidence: the relative risk of cholera 10 days after a weekly rainfall of 25 mm is 42% higher than compared with a week without rain (Camacho et al., 2018). Despite the inability to establish that rainfall is causal to the increase in cholera outbreaks, the use of unsafe water sources during the drought season, contamination of water sources during the rainy season, and changing levels of zooplankton and iron in water (which help cholera bacteria survive), may contribute to the increasing levels of cholera during the rainy season (Camacho et al., 2018). These correlations demonstrate the need to measure rainfall in the machine learning model, as rainfall is a predictor for possible climate changes and the corresponding human response and subsequently indicates the spread of cholera in Yemen.
-<br><br>
-&emsp;Daily rainfall data for Yemen from January 1st ,2017 to March 30th, 2018 was accessed through NASA’s Goddard Earth Sciences Data and Information Services Center (GES DISC), which provides Global Precipitation Measurement data through the Simple Subset Wizard (SSW) database. The Global Precipitation Measurement mission (GPM), launched on February 27th, 2014, is an international network of satellites that use microwave imagers and precipitation radars to measure the volume of rainfall in several regions of the world (Global Precipitation Measurement, 2011). The rainfall data was initially in a netcdf4 format.  The 452 files were then parsed and converted to comma-separated-values (CSV). As there were individual data points for every .25 degrees of both latitude and longitude, Reverse geolocation was performed to match coordinates with corresponding Yemeni governorates.
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-<b>Conflict Data (Yemeni Civil War)
-</b>
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-&emsp;Yemen is currently in the grip of a devastating civil war, which is heavily impacting the cholera crisis in Yemen; (Camacho et al., 2018). while cholera is preventable and treatable under normal circumstances, the collapse of Yemen’s health, water, and sanitation sectors amidst the ongoing armed conflict have fueled the spread of cholera across the country, and with direct attacks against hospitals and the bombing of water supplies, the conflict has dissolved 55% of the country's medical, wastewater, and solid waste management infrastructure, making access to clean water and healthcare difficult and expensive (Camacho et al, 2018; Yemen’s Cholera Crisis: Fighting Disease During Armed Conflict, 2017; Yemen: The Forgotten War, 2018). Conflict has led to 15 million Yemenis in need of water and sanitation assistance (Camacho et al., 2018). Information regarding the status of ongoing conflicts, namely the severity in terms of death toll, was collected with the hope of it being predictive of the region’s infrastructure ability to provide treatments in cholera in the following weeks. Data gathered by the Armed Conflict Location and Event Data Project (ACLED) was retrieved from the Humanitarian Data Exchange (https://data.humdata.org/group/yem). ACLED reported the type of conflict, agents, locations, dates, and other characteristics of the politically charged conflict from January 1, 2016, to June 6, 2018 (Raleigh and Dowd, 2017). The number of casualties due to conflict on any given day and in any given Yemeni governorate was used as a metric for civil war related violence.
 <br>
-<div style="text-align:center"><img src="https://static.igem.org/mediawiki/2018/f/f9/T--Lambert_GA--CalmDATASET.png"></div>
 <br>
-<div style="font-size:12px", "text-align:center"><i>Diagram of Environmental and Demographic Datasets</i></div>
+<div style="font-size:12px">Figure 3: Cumulative Cholera Cases for 5 Governorates.	</div>
+<div style="text-align:center"><img src="https://static.igem.org/mediawiki/2018/6/61/T--Lambert_GA--fig3.gif" style = "width:60%;"></div>
+<br>
+Other models look to forecast the total cholera cases Yemen may experience (Nishiura, 2017) with some models providing governorate-specific (or even geographically smaller) predictions (Cole, 2018). While the objective of our models is to predict new cases (as to not simply follow linear trends and be able to predict outbreak spikes), we are able to convert our predictions to total cases through simple reverse differencing. Using this method, we are able to accurately delineate the course of the Yemeni outbreak. Figure 1.2 illustrates this on a representative sample of five Yemeni governorates.
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