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20 March 2018 Photo Pexels
Water footprint important but misunderstood indicator
Water footprinting is the future of water conservation

The Water Footprint (WF) of a product, process or person provides an indication of how much fresh water is used, both direct and indirect, to produce a product, drive the process or lead a lifestyle. Although it is a very important indicator it is often misunderstood. Popular media contribute to this misunderstanding as they often use the WF to illustrate the large quantities of water used to produce a product without explaining what the footprint actually means.  

An example is a single kilogram of beef that has an average global WF 15 415 litres. This indeed sounds scary, but when one places it in context, the total WF includes 14 414 litres green water, 550 litres blue water and 451 litres grey water. Green water is the evapotranspiration of precipitation (rain), blue water is the fresh water from dams, rivers and underground sources, while grey water is the amount of fresh water required to dilute polluted water to acceptable levels.

According to Frikkie Maré, a lecturer at the Department of Agricultural Economics at the University of the Free State (UFS), the WF concept provides a new look at water conservation and sustainability. “Although the WF is not an indicator of sustainable water use, it is a useful tool to calculate total water demand and is used in the estimation of sustainability. Traditionally, water conservation was focused on the direct water use of individuals (time taken to shower, leaking taps etc.), but the WF now provides a tool to focus attention on total water demand.”

The Water Footprint Network assists individuals with this new trajectory on the water conservation front with the personal water footprint calculator that allows individuals globally to determine their personal water demand through their direct and indirect water usage. Maré believes this can cause the necessary paradigm shift in the aqua status quo by creating awareness among consumers on their total water demand.

With Water Week underway from 17-23 March 2018, UFS students and staff members are urged to make use of the personal water footprint calculator in order to become aware of the real importance of fresh water in our everyday lives.

News Archive

Fight against Ebola virus requires more research
2014-10-22

 

Dr Abdon Atangana
Photo: Ifa Tshishonge
Dr Abdon Atangana, a postdoctoral researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), wrote an article related to the Ebola virus: Modelling the Ebola haemorrhagic fever with the beta-derivative: Deathly infection disease in West African countries.

“The filoviruses belong to a virus family named filoviridae. This virus can cause unembellished haemorrhagic fever in humans and nonhuman monkeys. In literature, only two members of this virus family have been mentioned, namely the Marburg virus and the Ebola virus. However, so far only five species of the Ebola virus have been identified, including:  Ivory Coast, Sudan, Zaire, Reston and Bundibugyo.

“Among these families, the Ebola virus is the only member of the Zaire Ebola virus species and also the most dangerous, being responsible for the largest number of outbreaks.

“Ebola is an unusual, but fatal virus that causes bleeding inside and outside the body. As the virus spreads through the body, it damages the immune system and organs. Ultimately, it causes the blood-clotting levels in cells to drop. This leads to severe, uncontrollable bleeding.

Since all physical problems can be modelled via mathematical equation, Dr Atangana aimed in his research (the paper was published in BioMed Research International with impact factor 2.701) to analyse the spread of this deadly disease using mathematical equations. We shall propose a model underpinning the spread of this disease in a given Sub-Saharan African country,” he said.

The mathematical equations are used to predict the future behaviour of the disease, especially the spread of the disease among the targeted population. These mathematical equations are called differential equation and are only using the concept of rate of change over time.

However, there is several definitions for derivative, and the choice of the derivative used for such a model is very important, because the more accurate the model, the better results will be obtained.  The classical derivative describes the change of rate, but it is an approximation of the real velocity of the object under study. The beta derivative is the modification of the classical derivative that takes into account the time scale and also has a new parameter that can be considered as the fractional order.  

“I have used the beta derivative to model the spread of the fatal disease called Ebola, which has killed many people in the West African countries, including Nigeria, Sierra Leone, Guinea and Liberia, since December 2013,” he said.

The constructed mathematical equations were called Atangana’s Beta Ebola System of Equations (ABESE). “We did the investigation of the stable endemic points and presented the Eigen-Values using the Jacobian method. The homotopy decomposition method was used to solve the resulted system of equations. The convergence of the method was presented and some numerical simulations were done for different values of beta.

“The simulations showed that our model is more realistic for all betas less than 0.5.  The model revealed that, if there were no recovery precaution for a given population in a West African country, the entire population of that country would all die in a very short period of time, even if the total number of the infected population is very small.  In simple terms, the prediction revealed a fast spread of the virus among the targeted population. These results can be used to educate and inform people about the rapid spread of the deadly disease,” he said.

The spread of Ebola among people only occurs through direct contact with the blood or body fluids of a person after symptoms have developed. Body fluid that may contain the Ebola virus includes saliva, mucus, vomit, faeces, sweat, tears, breast milk, urine and semen. Entry points include the nose, mouth, eyes, open wounds, cuts and abrasions. Note should be taken that contact with objects contaminated by the virus, particularly needles and syringes, may also transmit the infection.

“Based on the predictions in this paper, we are calling on more research regarding this disease; in particular, we are calling on researchers to pay attention to finding an efficient cure or more effective prevention, to reduce the risk of contamination,” Dr Atangana said.


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