Report on the Accumulated Degree Days and Post Mortem Submersion Interval for an Infant Drowning Accident

A limited number of forensic studies report on the Post Mortem Submersion Interval (PMSI) and the related Accumulated Degree Days (ADD) necessary for a body to resurface after drowning. Some of these studies result from experiments using animal carcasses. Death by drowning represents the only source of PMSI and ADD information for human corpses. Since there are ethical and legal constraints to experiments with human corpses, gathering this information relies on reports of drowning accidents. This case study focuses on estimated ADD and PMSI for a 3-year old drowning victim. The PMSI was 5.6 days, during which the water temperature varied between 15.3 °C and 15.6 °C. Calculated interval for the ADD range was between 76 °C and 92 °C. Insignificant body drift occurred despite the highly hydrodynamic regime of the accident area. The findings here reported were compared with previous published data for similar cases, showing similar drift patterns and PMSI but a lower ADD threshold for the body to regain floatability.


Introduction
The information on the Accumulated Degree Days (ADD) necessary for a human corpse to resurface has been mostly derived from studies with animal carcasses as analogues to human bodies [1][2][3][4].Reports on ADD for humans are scarce, and drowning accidents are usually the only source of information [5][6][7][8][9][10].Consequently, submersion deaths for which the Post Mortem Submersion Interval (PMSI) and water temperature for this period are known provide information that can later be used in both forensic analysis and in search and rescue efforts for body recovery after accidents, homicides or suicides in aquatic systems [5,11,12].The values for ADD and PMSI found in the literature for drowning cases comprise both salt and freshwater environments.Most studies emphasize the role of temperature on the decomposition process, avoiding the additional complexity of tackling the influence of water salinity.However, the influence of salinity should be based in mind when comparing ADD and PMSI across different aquatic systems.
In this report we address a homicide case resulting in the death by drowning of a 3-year old girl and focuses on ADD (based on water temperature at the site) and PMSI.We briefly discuss the results by comparing our observations with the results reported in other drowning studies for older victims in marine environments, given the lack of data on ADD and PMSI for similar cases (age approximated) [8,10].We emphasize, however, that the remains from a child with such a small body height and weight may have a different specific gravity from adults, resulting in distinct floatability behaviour [13].

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Avens Publishing Group
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Case Report
On 15 February 2016 at approximately 2000 h (Western European Winter Time) a 3-year old girl was apparently drowned by her mother at Giribita beach (38°41'52'' N; 9º16'56'' W), located near the mouth of the Tagus estuary (Figure 1).On 21 February 2016, at around 0930 h, the body of the girl was spotted floating a few meters from the place of drowning and recovered.Death by drowning was confirmed by autopsy.The elements for this description of events were taken from broadcasted and printed media coverage of the event.
The Giribita beach is located in the North margin of the Tagus estuary mouth.It is a sand beach of approximately 150 m with a W -E orientation, bordered by rocky structures.Tide is semidiurnal with amplitude of about 3 m.The local water circulation is mainly controlled by tidal action, river discharge and wave regime.These combinations of factors impose significant variation in time of the direction and intensity of local currents.

Methods
PMSI was calculated from dates obtained from popular media coverage.The exact moment of the drowning is known from eyewitnesses.Also, given the hour and confluence of people at the beach, it is assumed that the resurfacing moment happened around the same time the body was spotted floating a few meters from the beach.
ADD was calculated based on Sea Surface Temperature (SST) according to where h i represents the number of hours in each day (i) during the submersion period (n), and T i the daily temperature [10].This expression is a modified version of the standard method to calculate ADD [14].A ± 1.5 °C variation range was assumed for temperature values used to calculate ADD, thus determining the cumulative lower (ADD min ) and upper (ADD max ) limits for ADD, as suggested in [10].

ISSN: 2330-0396
Water temperature was retrieved from the Group for High Resolution Sea Surface Temperature (GHRSST) level 4 sea surface temperature analysis product EUR-L4UHRfnd-MED-ODYSSEA, available at http://dx.doi.org/10.5067/GHMOY-4FE01 [ May 13, 2016].This product is generated by merging microwave and infrared satellite sea surface temperature observations to provide daily cloudfree field sea surface temperature at approximately 2 km resolution (0.02 degree) for the Mediterranean Sea and the West Iberian Coast.

Results and Discussion
The calculated PMSI was 5.6 days, and the ADD was 84 ºC, estimated from the sea surface temperature.The observed temperature at the accident site for this period showed little variation, despite the influence of both estuarine and oceanic waters.Temperature ranged between ~16 ºC in the first day (Figure 1), and 15.3 ºC in the last day of the PMSI, as illustrated in Figure 2. Lower (ADD min ) and upper (ADD max ) limits for ADD were 76 ºC and 92 ºC respectively.Body displacement was minimal, suggesting insufficient drag force to transport the body, or that the swell or oceanographic conditions kept the body close to the coast [9,15].Similar observations have been reported previously as well as highly variable outcomes, where bodies have been recovered at a considerable distance from the point of entry [7,8,10,16].These strikingly different patterns suggest that body drift occurs after flotation is regained.In the case addressed here, the drowning occurred near a public area which probably led to an immediate spotting of the body after resurfacing, before it drifted away due to the surface circulation.
The PMSI ends with the regaining of buoyancy of corpses, processes determine by the fundamental laws of physics.This process depends on a number of victim and environmental factors [12].The decomposition process, leading to the bloating stage, can be considered as most relevant factor involved in the resurfacing of drowned victims [13,15].The physical process underlying this occurrence is the change in the specific gravity, the relationship between the density of the body and surrounding water density that decreases as gases are produced during decomposition, ultimately leading to the body to regain flotation [10].
Water temperature determines the duration of the PMSI because it has a direct influence on decomposition rate the leads to the gain of floatability [17].A variation in the cumulative thermal effect, expressed in the ADD, is expected amongst drowning cases.However, published data suggest the existence of a threshold for the body to regain floatability [8,10].In this study, the calculated ADD was 84 ºC, with a possible range between 76 ºC and 92 ºC assuming error estimates in the remote sensing, as were explained in the methodology section.When compared with previous reported cases, this range is lower, as seen in Figure 3, which illustrates some of the variation in the relationship between PMSI and ADD.It is possible to notice that most observation show a PMSI > 7 days.Some estimations show PMSI up to 12 days [14].However, at least one reported case matches the PMSI observed in the present report, with some overlapping ADD range.This occurrence emphasizes that the previously reported 100 ºC -140 ºC range for a body to attain floatability can be lowered to ~ 80 ºC [8].This inference, however, may be speculative, and further observations are needed for this to be validated.Features that determine the specific gravity of a corpse must be considered in the ADD threshold for floatability, such as the victim's age (used as a proxy to intrinsic characteristics such as body height, weight and tissue composition), site depth or the presence or absence of clothes [13,18,19].These data, however, are difficult to attain, especially when   Additional data such as total aquatic decomposition score (TADS), commonly found in other reports, and would provide additional insights to this study [14].Such information, however, was inaccessible due to investigative confidentiality.Law enforcement authorities have a non-disclosure policy regarding autopsy reports in murder cases, thus preventing access to additional detailed information such as TADS.

Conclusion
This case report provides valuable information on the relationship between the PMSI and ADD for drowning accidents.This information is pertinent given the scarcity of related published data on the topic and the legal and ethical constraints of obtaining more data by experimentation.
The observations suggest that the body tends to stay in the accident area during the PMSI, as previously reported for similar highly dynamic coastal areas, and that a lower threshold of ADD may be related to characteristics such as body height, weight and tissue composition.

Figure 1 :
Figure 1: Sea surface temperature (SST) from remote sensing data for the Tagus estuary mouth and coastal area in the day of the accident.Location of the accident site (point of entry and recovery) marked by the red square.

Figure 2 :
Figure 2: Daily SST variation in the accident area during the PMSI.

Figure 3 :
Figure3: Relation between known PMSI and estimated ADD (circles) and ADD range (vertical lines) for the accident here reported (red) and for other similar cases in the literature[8,10].ADD range is estimated as described in the methodology.