American Journal of Environmental Engineering

p-ISSN: 2166-4633    e-ISSN: 2166-465X

2016;  6(2): 52-61

doi:10.5923/j.ajee.20160602.03

 

Modeling the Relation between Carbon Dioxide Emissions and Sea Level Rise for the Determination of Future (2100) Sea Level

Hisham A. Maddah 1, 2

1Department of Chemical Engineering, King Abdulaziz University, Rabigh, Saudi Arabia

2Department of Chemical Engineering, University of Southern California, Los Angeles, USA

Correspondence to: Hisham A. Maddah , Department of Chemical Engineering, King Abdulaziz University, Rabigh, Saudi Arabia.

Email:

Copyright © 2016 Scientific & Academic Publishing. All Rights Reserved.

This work is licensed under the Creative Commons Attribution International License (CC BY).
http://creativecommons.org/licenses/by/4.0/

Abstract

This paper confirms that there is a strong relationship between global warming (CO2 emissions) and global mean sea level rise (GMSLR). We discussed some statistics and facts regarding to the history of CO2 emissions as well as the present situation and how do CO2 emissions play a key role in controlling Earth’s temperature. A decent portion of this study covered valuable literature information on the topic of GMSLR which is a major global problem that resulted from climate change. The main two reasons for GMSLR are melting of glaciers or ice sheets and thermal expansion of seawater. Submerging coastal cities, soils’ contamination and damaging animals’ habitats are various consequences of GMSLR. The essential part in our study is to find the exact range of GMSLR by 2100 via establishing a model that is based on comparing previous increases in CO2 emissions with changes in sea level rise at the same time. Two scenarios of CO2 emissions are considered and they are the minimum (RCP2.6) and the maximum (RCP8.5) according to IPCC. Future GMSLR data for both scenarios are calculated for the overall rise, individual oceans and different seas. Rise in Earth’s temperature and radiative forcing (heat flux) are investigated for both scenarios and a proportional correlation is approved. Moreover, temperature anomalies data are obtained to identify the future differences between both scenarios. Results showed that, by 2100, GMSLR would be between 0.2-1.6 meters with an annual increase rate of 2.35-18.8 mm/yr. It is worth mentioning that our calculations confirmed that by the end of 2015 the total rise in temperature, since 1880, was around 0.85°C. However, by the end of the twenty-first century, the total change in heat flux would be about 2.5 and 8 W/m2 for RCP2.6 and RCP8.5 scenarios, respectively, and the accumulated temperature rise, since 1880, would be between 1.22°C and 4°C.

Keywords: Ocean, Sea level rise, Climate change, Global warming, CO2 emissions, Modeling, Temperature anomaly, Radiative forcing, Earth’s heat flux, Future, 2100

Cite this paper: Hisham A. Maddah , Modeling the Relation between Carbon Dioxide Emissions and Sea Level Rise for the Determination of Future (2100) Sea Level, American Journal of Environmental Engineering, Vol. 6 No. 2, 2016, pp. 52-61. doi: 10.5923/j.ajee.20160602.03.

1. Introduction

Carbon dioxide (CO2) constitutes only about 0.04% of air; but it plays a crucial role in controlling Earth’s average temperature. However, bulk air elements like nitrogen (N2) or oxygen (O2) are not capable of absorbing heat radiation. The opposite is true for water vapours (clouds) which are able to absorb 75% of the sun’s radiation. Yet, clouds cannot control planet overall temperature since that water vapours depend on air circulation and they condense without being able to keep Earth’s temperature at lower rates. On the other hand, CO2 gas is independent of the previous parameters and has a strong tendency to absorb sun energy which reduces Earth’s surface heat radiation to space. Higher CO2 leads to higher temperature and humidity in the atmosphere; more or extra temperature will be added from having more water vapours. Thus, CO2 acts as a control knob that controls the amount of water vapours and clouds in Earth’s atmosphere [1-3].
There is a strong correlation between CO2 emissions and rise in temperatures. Although correlation does not equal causation, scientists believe that greenhouse gases are driving the glob’s temperature higher especially after observing some indications like the increase in ice melting rate, deep ocean heat and sea level rise [6]. According to the Intergovernmental Panel on Climate Change (IPCC), global average temperatures on both land and ocean surfaces have increased about 0.85°C (1.53°F) from 1880 to 2012. Global records of NASA and NCDC corporations revealed that the decade between 2000 and 2009 is the hottest decade, with an average temperature of 12.2°C, since the beginning of modern technology about a century ago. Further, the warmest 30-year period was from 1993 to 2012 since 1400 years and global records indicate that earth atmosphere is getting warmer than before [7].
Global warming may be interpreted in various environmental signs such as dense clouds, massive recurring floods, powerful snowstorms or even extreme drought periods. Higher Earth’s temperature enhances ocean evaporation rate which yield to heavier precipitation. For example, total precipitation between 1958 and 2007 in United States increased by three folds and resulted in critical weather conditions like flash floods. Early studies showed that flood fatalities in United States had a significant number compared to previous statistics that prior to 1958 because of the change in weather conditions. By 2090, CO2 emissions will increase precipitation events in United States by an average of 36%. Engineering solutions and strict plans are mandatory in order to avoid such a calamity in the near future [8]. Further, other problems that are associated with global warming include sea level rise, ice and snow melting, higher oceans acidity, extreme weather conditions and threats to human health [7]. Extreme weather conditions involve increase in extreme high temperatures or decreases in extreme low temperatures and these situations are related to the fact that states every 1°C rise results in adding 7% of moisture to the atmosphere. Higher moisture means more intense precipitation events will occur. In addition, moisturized warm atmosphere is an ideal situation for powerful hurricanes. Astoundingly, climate change plays a key role in present extinctions and distributions of wildlife animals and plants. Extreme drought environments could be linked to current changes in atmospheric circulation. Potential researchers should consider conducting a more concisely comparative study between temperature and precipitation data which will allow us to determine the exact impact of global warming on weather conditions [9] [10].
Unfortunately, cutting CO2 emissions is not a viable solution to global warming dilemma anymore. This is because greenhouse gases characterize by the ability to stay in the atmosphere for a long time. Ocean’s response to higher greenhouse gases takes longer time than lands and therefore global warming will continue for several decades. Hundreds of years will pass before noticing a decrease in CO2 emissions or global temperature [7].

2. Global Mean Sea Level Rise

One of the main consequences of global warming is the increase in the global mean sea level rise (GMSLR). Rate of the rise was modest between 1900 and 1930 since then the rate, over the past 50 years, increased to 1.8 ± 0.3 mm year1. For the period 1993-2007, earlier studies reported rates of 2.85 ± 0.35 mm year1 and 3.3 ± 0.4 mm year1 in climate-related contributions and altimetry-based sea level rise, respectively, which indicates that sea level rise is mostly caused by global warming, Table 1. Even though data on thermal expansion indicate a less increase to the range 2003-2007, sea level has continued to rise. It was observed that around 30% of the rise is due to ocean thermal expansion and 55% resulted from land ice melt. Severe acceleration in melting rates and ice mass loss during the past five years increased the contribution of land ice melt from 55% to 80%. Further, there are some expectations of an additional 320% GMSLR caused by thermal expansion by 2100. An acceleration in the rate of sea level rise of 0.013 ± 0.006 mm year2 was recorded between 1870 and 2004 [11].
Table 1. Sea Level Budget for Two Time Spans [11]
     
According to Church, GMSLR is caused by an increase in the volume of the global ocean that results from ocean thermal expansion and loss of ice glaciers and ice sheets. Rates of ocean rise increased dramatically since the mid-19th century. The yearly increase in water level in 1901-1990 and 1993-2010 were 1.5 and 3.2 mm year1, respectively. The twenty-first century mean rate of GMSLR under all RCPs will definitely exceed that of 1971-2010. GMSLR mean rate is expected to increase between 8-16 mm year1 (RCP8.5) by 2100 since that global glaciers volume will decrease by 15-55% (RCP2.6) or 35-85% (RCP8.5). GMSLR will have an impact on about 95% of the ocean area and 70% of the coastlines worldwide within 20% of GMSLR change [12].
There are two main causes of GMSLR. First, the addition of freshwater to ocean basins due to glaciers and ice sheets loss, land ice loss and water exchange with terrestrial reservoirs. Second, the increase in water volume because of thermal expansion in response to global warming. Thus, sea level rises from melting of ice sheets, glaciers and land ice, and other parameters like ocean temperature as well as salinity changes [11]. One-third of sea level rise around the world is due to ocean thermal expansion whereas the remaining two-thirds occur because of ice sheets melting in Greenland and Antarctica. Sea levels have risen about 7 cm (2.75 inches) over the past 22 years. The IPCC models have predicted that sea levels could rise as much as 6.4 m (21 feet) in the next century. Further, if all the planet ice were to melt, sea level would rise about 60 m (197 feet) [13]. Global sea level has risen by 19 cm (7.5 inches) since 1870 and it is expected, by 2100, to rise between 0.2-2 m (0.66-6.6 feet) [7] [15]. Future relative sea level rise is constrained by land elevation changes, local currents changes, winds, water salinity and temperatures [7] [16]. Another work showed a projection of sea level rise by 2100, according to IPCC AR4, is 35 ± 15 cm. Recent study carried out GMSLR calculations based on a simple relationship between global mean sea level rate and global mean temperature to identify the rise in 2100; and the projected value in that study was in the range of 50-120 cm [11].

2.1. Glaciers and Ice Sheets

Climate change predictions regarding to ice, snow and glaciers melting rates are shocking. Snow in the Northern Hemisphere plus Greenland and Arctic region have been melting for a long time and melting rate is expected to increase over the next century [7]. About 15% decrease in the extent of annually averaged Arctic sea ice is caused by 1.1°C (2°F) of warming. Snow seasons are expected to be shorter and melting starting sooner. Warmer temperatures advance ocean expansion and ice sheets, snow and glaciers melting rates that would significantly contribute to the GMSLR [16].
Total land glaciers on Earth are around 10% and melting these glaciers will result in a potential sea level rise of 66 meters. Approximately 99% of this rise is accounted for the volume of polar ice sheets including Greenland and the Antarctic which are the most vulnerable locations for today’s climate change. The extent of the surface melt area of Greenland ice sheets (12% of total glaciers) increased over the last 30 years with an increase rate of −263 ± 30 Gt year1 between 2005 and 2010 and that is equivalent to a sea level rise of 0.72 ± 0.08 mm year1. Over the same interval 2005-2010, Antarctic ice sheets (87% of total glaciers) had an ice loss of −81 ± 37 Gt year1. Although mountain areas contain less than 1% of the total glaciers, a total ice loss of −259 ± 28 Gt year1 that is equivalent to a sea level rise of 0.71 ± 0.08 mm year1 was recorded in the period 2003-2009. The overall contribution of glaciers and ice sheets in sea level rise is about 60% in the period 2003-2009. Sea level rise projections by the end of 2100 have been proposed to be between few decimetres and 2 meters [14].
The present status of glaciers shows retreat and mass loss because of the higher air and surface ocean temperatures that is directly or indirectly caused by the human impact. Several studies confirmed that present ice loss from mountain glaciers, Greenland and West Antarctica is associated with global warming; and if the ice loss continued, sea level rise would be between 0.8-2 meters by the end of 2100 [14]. Another work showed that if total amount of ice sheets in Greenland and West Antarctica melted a sea level rise of 7 meters and 3-5 meters would happen, respectively. A significant elevation decrease in glaciers was found over 1992-2003 which confirmed the widespread ice mass loss in West Antarctica whereas East Antarctica was found stable. Since 1970, most of glaciers around the world have been retreating and thinning with obvious acceleration; glaciers contribution in sea level rise in 2006 was 1.1 ± 0.24 mm year1. Sources of land waters (freshwaters) include rivers, lakes, snow pack, wetlands and aquifers are in continues exchange with atmosphere and oceans through evaporation, precipitation and rivers runoff [11]. Different studies suggested that the imbalance ice melting of Greenland and Antarctica contributes in sea level rise by 0.2-0.6 mm year1. Moreover, melting of land glaciers enhances the rise by 0.2-0.4 mm year1 [20].
20,000 years ago, global sea level was about 125 meters below the current sea level. Recent warm atmosphere boosted melting rates of Antarctic ice sheets causing sea level to rise reversibly. Since the “Little Ice Age” in the nineteenth century, sea level has been rising about 1-2 mm year1 due to the reduction in volume of ice caps and mountain glaciers as well as the thermal expansion of ocean water. Continues global warming will decrease Iceland’s glaciers 40% by 2100 and nearly disappear by 2200. Antarctic and Greenland ice sheets constitute most of the current global land ice mass; sea level would rise about 80 meters if complete melting of ice sheets occurred. However, melting of all other glaciers would contribute to the rise by only 0.5 meter. Melting of ice sheets at different locations contributes differently to the sea level rise. In other words, melting ice sheets of Greenland and West Antarctic would rise the sea level by 6.6 and 8 meters, respectively. Table 2 shows the estimated maximum sea level rises from total melting of glaciers in different locations [17] [18].
Table 2. Estimated Potential Maximum GMSLR from Total Melting of Glaciers [17] [18]
     
Satellite data between 1978 and 2000 showed that the perennial, multiyear, sea ice cover in the Arctic is declining by a relatively fast rate of 8.9 ± 2.0% per decade. Disappearance of the multiyear ice cover would occur by the end of this century if the decline rate sustained for a few more decades leading to drastic changes in the Arctic climate system. There is a strong inverse correlation between surface ice temperatures and the extent of perennial Arctic sea ice; in which studies suggested that surface temperature is increasing about 1.2°C per decade. Extent of sea ice regards to the area of ocean where sea ice exists and it defines a region as either ice-covered or not ice-covered. However, sea ice is known as frozen ocean water or ocean that is covered with snow. The increase in surface temperatures implies longer melt periods and therefore diminishing ice volume in the future [19].
A more recent study reported tide gauge readings and satellite measurements which showed that the global sea level rise was between 10-20 cm (4-8 inches) over the past century. Sea level rising rate was about 3.5 mm (0.14 inches) per year since 1990 and that is approximately twice the average rate of the preceding 80 years [12]. However, tide gauge readings and satellite measurements do not always provide accurate data about sea level rise. A comparison between the third assessment report of the IPCC, which states an estimate of 1.5 ± 0.5 mm year1 GMSLR for the twentieth century, and the observed GMSLR by the Topex/Poseidon satellite over 1993-1998, that finds 3.2 ± 0.2 mm year1, has been conducted to illustrate that satellite readings are not always true. A difference of doubled amount of the rise over 1993-1998 has been recorded. Yet, tide gauges were able to collect precise data that agreed with the pseudo global thermostatic rise for the period 1955-1996. The inconsistency between gauge readings and in-site thermal expansion, discussed further in section 2.2., measurements is associated with underestimating climate-related causes or that gauges become biased at higher values [20].

2.2. Thermal Expansion and Salinity

Alterations in ocean water temperature and salinity change water density and therefore rising water occupied volume which lead to an increase in oceans level. Currently, the Earth is struggling with an imbalance state of energy since that oceans are able to store 85% of excess heat from climate change. Statistics confirmed the previous fact by showing that the amount of heat stored in oceans (16 x 1022 J), during the last 40 years, is approximately 15 times greater than heat stored on continents and approximately 20 times than that stored in the atmosphere. The mean thermal expansion trend over 1955-2001 is 0.4 ± 0.01 mm year1 and 0.3 ± 0.01 mm year1 followed by expansion rates range from −0.5 ± 0.5 mm year1 over 2003-2007 to +0.4 ± 0.1 mm year1 over 2004-2007 and +0.8 ± 0.8 mm year1 over 2004–2007 [11]. The third IPCC report adopts that the largest contribution to the twentieth century GMSLR of 0.7 mm year1 arises from thermal expansion while oceans warmed since the 1950 [20]. Regarding to salinity factor, redistribution of salinity by ocean circulations has an impact on regional scales, but it does not have an effect on the overall GMSLR [11]. Figure 1 shows the effect of thermal expansion on GMSLR from various previous studies simulations [21].
Figure 1. Various simulations of GMSLR from thermal expansion [21]

2.3. Consequences

As mentioned previously, Earth’s surface temperature increases when high concentrations of greenhouse gases are released to the atmosphere; this explains the direct correlation between GMSLR and global warming. Sea level rise is caused by thermal expansion of water and melting of ice sheets and glaciers. Studying the outlook of sea levels during the far past have been helpful in understanding and forecasting the potential of GMSLR. For instance, recent studies found that Pliocene epoch (5.3-2.6 million years ago) sea levels were about 100 feet higher than they are today since global temperatures were between 3-4°C warmer [23].
To understand long-term effects of global warming, four different scenarios of long-term CO2 emissions were developed by the IPCC, shown in Figure 2, using various assumptions regarding to future economic, technological and environmental conditions. Global average temperature is expected to double by 2100; meaning that worldwide average temperature would be between 0.27-4.7°C (0.5-8.6°F) and United States temperature between 1.6-6.66°C (3-12°F) [7]. Another source mentioned that by 2100, the change in global surface temperature was found by the IPCC models to be at a maximum value of 4.1°C (RCP8.5) and a minimum value of 1°C (RCP2.6) where 8.5 and 2.6 constants refer to expected Earth’s radiative forcing or heat flux values by 2100 [22]. However, land temperatures are expected to increase quickly compared to ocean temperatures [7]. Previous models showed that heavy precipitation would likely to occur in different regions with uneven water distributions. United States northern areas would become wetter while southern areas would be drier [15].
Figure 2. Projected greenhouse gas concentrations for four different CO2 emissions models [22]
As seawater rise, vicious consequences may happen such as submerging coastal cities, flooding of wetlands, contamination of aquifers and agricultural soils and damaging animals’ habitats. Many studies estimate that oceans will rise between 0.8-2 m (2.5-6.5 feet) by 2100 and this is enough to submerge cities along the United States east coast. Other researchers stated that by 2100 Greenland ice sheets are going to melt down completely resulting in a rise of 7 m (23 feet) that is enough to submerge London [12]. Recent studies revealed that a 2-foot rise would result in the following relative sea level rise: 0.7 m at New York City; 0.88 m at Hampton Roads, Virginia; 1 m at Galveston, Texas and 0.3 m at Neah Bay in Washington State [8]. Moreover, if all glaciers of Greenland and Antarctica were melted, sea level will rise by 123 m (400 feet) [23]. Estimates postulate that roughly 80% of the past 5-year rise is relative to land ice loss contribution [11]. Since 10% of world’s population resides on coastal cities or within a range of a mile to shorelines, a huge percent of humans are exposed to the brutal progress in sea levels. An increase of 1.22 m (4 feet) might cause extensive annual flooding to 5% of world’s population [23]. The overall reduction of ice sheets could increase the sea level up to 10 m or even more and would flood about 25% of the United States population; especially those people who live in the gulf and east coast states [17] [18]. In addition, there are other environmental and social consequences of glaciers retreat which include serious reduction in water resources in mountain areas, observed in the Andes, the Alps and the Himalayas, and therefore destructing wildlife in those areas [14]. Understanding past changes in sea level will increase our chances to estimate more accurate results for the potential changes in sea level [17] [18].

3. Methodology and Data

Sea level rise calculations are initiated by simply comparing between two sets of data. Mean CO2 emissions data, extracted from NASA database and shown in Table 3 [24], in the period 1994-2008 are compared with mean sea level rise data, obtained from global mean sea level satellite altimetry between January 1993 and December 2008 [11], over the same 15-year interval in order to establish our model for further calculations. The model is established by comparing the yearly increments in both CO2 emissions and sea level rise. Combining both datasets (1994-2008) of CO2 emissions and sea level rise together allowed us to calculate future estimations with respect to GMSLR. Our goal is to obtain the maximum and the minimum values of GMSLR in the twenty-first century (2000-2100) by using IPCC RCP8.5 (maximum) and RCP2.6 (minimum) CO2 emissions scenarios shown in Figure 2. Also, a comparison between forecasted CO2 emissions and GMSLR would reveal the strong relation between both parameters. The effect of GMSLR on different oceans and seas is determined by utilizing information of seas surface areas with an assumption that we have same elevations at different locations [25].
Table 3. Datasets of GMSLR and CO2 Emissions (1994-2008) [11] [24]
     
Moreover, determination of temperature rise, change in heat flux density (Earth radiative forcing; excess energy absorbed from the sun versus reemitted to space) and the relation between them is calculated to emphasize how global warming or temperature rise, CO2 emissions and GMSLR are associate with each other.
(1)
(2)
*2.66 is used instead of 1.66. In case of 1.66 constant, rise in temperature (1880-2015) is 0.55°C whereas 2.66 gives 0.854°C (same current change).
Equation (1) is used to calculate the change in Earth’s heat flux density in (W/m2). Equation (2) is used for Earth’s temperature rise calculations in (°C). Symbols Co and C refer to initial and final CO2 atmosphere concentrations, respectively [1]-[3]. The physical meaning of Equation (1) and Equation (2) is that the increase in Earth’s heat flux and temperature values are proportional to the logarithm of the ratio between final and initial recorded temperatures. In other words, both equations indicate a simple linear relationship for heat flux and temperature rise. However, the used period in temperature rise and heat flux calculations extended to include historical information. Two periods are considered in our work; both of them between 1880-2100 with a change in future data from 2015 to 2100 where the first period calculations are obtained at the minimum scenario RCP2.6 and the second period at the maximum scenario RCP8.5. To ease our calculations, the whole period 1880-2100 are divided into five segments 1880-1958, 1958-1994, 1994-2008, 2008-2015 and 2015-2100. Since we have different givens and different unknowns, each time interval is treated differently in calculating its temperature rise and radiative forcing values. Calculations in the three latest periods 1994-2008, 2008-2015 and 2015-2100 is easy to find from NASA CO2 emissions dataset plus RCP2.6 and RCP8.5 CO2 emissions and the use of Equation (1) and Equation (2), respectively, to find out Earth’s radiative forcing and temperature change values. Calculations in the remaining two periods, 1880-1958 and 1958-1994, are done by using CO2 emissions data from a previous study [26]. Further, global mean temperature anomalies relative to the period 1994-2008 are calculated for both scenarios (RCP2.6 and RCP8.5) in the period 1880-2100 where temperature anomaly is just the subtract, difference, of the required period’s temperature from the relative period’s temperature.

4. Results and Discussions

Figure 3 shows the proportionality in the relation between GMSLR and CO2 emissions in the period 1994-2008. Whenever there is an increase in CO2 emissions (global warming), there is also a parallel increase in GMSLR. Figure 4 illustrates the modeling data that is used in our study. The behaviour of both CO2 emissions and GMSLR is almost the same along the past decade. Minor inconsistencies between both lines in Figure 4 are observed, e.g. the case of year 2007 and 2008, but the overall correlation between the rise in CO2 emissions and the increase in GMSLR is clearly proportional. Thus, the two studied scenarios (RCP2.6 and RCP8.5) gave us results that, of course, similar to the model that we utilized in our calculations. Figure 5 confirms the relation between both variables, CO2 and GMSLR, and it states that GMSLR would be at a minimum and a maximum level of 0.2 and 1.6 meters, respectively, by 2100. Further, CO2 emissions would be between 460-1300 ppm by the end of the twenty-first century.
Figure 3. Correlation between GMSLR and CO2 emissions during the period (1994-2008)
Figure 4. Modeling data for GMSLR and CO2 emissions during the period (1994-2008)
Figure 5. Forecasted relation between GMSLR and CO2 emissions during the period (2000-2100)
Calculations of individual oceans and seas are established to observe the effect of the calculated overall GMSLR on different locations. A comparison between oceans levels in the period 2000-2100 for both RCP2.6 and RCP8.5 scenarios is shown in Figure 6(a) and Figure 6(b). The maximum effect of the overall sea level rise is on Pacific Ocean with a peak value of 0.12 meters in 2040 for the first scenario (RCP2.6) and a peak value of 0.74 meters for the second scenario (RCP8.5) in 2100. However, Arctic Ocean has the lowest sea level increase among other oceans due to its lower surface area. More detailed results about different worldwide seas and bays are shown in Figure 7(a) and Figure 7(b) for the maximum and minimum CO2 scenarios, respectively. Caribbean Sea has the maximum impact from the overall GMSLR whereas Red Sea reserved the lowest.
Figure 6. Comparison between the projected GMSLR in different oceans for the two CO2 emissions scenarios (2000-2100)
Figure 7. Comparison between the projected GMSLR in different seas for the two CO2 emissions scenarios (2000-2100)
As noted previously, temperature rise and heat flux change calculations are obtained in the period 1880-2100 in order to compare past results with the future estimations. Table 4 includes temperature rise and heat flux change outcomes for each time-interval segment within the overall period 1880-2100. It is worth mentioning that total change in temperature by the end of 2015 is around 0.85°C; this result is identical to literature information and therefore the future results should give us a glimpse of the actual temperature rise by 2100. Moreover, total change in heat flux would be about 2.5 and 8 W/m2 for RCP2.6 and RCP8.5 scenarios, respectively, which is almost similar to the used scenarios that indicate a radiative forcing of the same values in their names 2.6 and 8.5 W/m2. Obtaining similar future radiative forcing (heat flux) values confirms that we are going on the right track and our model results are good for the future predictions (2015-2100).
Table 4. Temperature Rise and Heat Flux Change for Individual Segments in the Whole Period (1880-2100)
     
In other words, if heat flux results, 2015-2100, are somehow the same as literature data, we will have accurate GMSLR results as well. Thus, Table 5 shows a comparison between our estimated GMSLR and previous studies GMSLR is determined to see the exact difference. A proportional relation is determined between temperature rise and heat flux in the period 1880-2100, Figure 8. Further, temperature anomalies investigations relative to 1994-2008 is shown in Figure 9(a) and Figure 9(b) for RCP2.6 and RCP8.5, respectively. Temperature anomaly data show that by 2100 the minimum (RCP2.6) accumulated temperature rise, since 1880, would be 1.22°C and the maximum (RCP8.5) accumulated temperature increase would reach 4°C.
Figure 8. The relation between temperature rise and CO2 emissions since the past until both future scenarios (1880-2100)
Figure 9. Comparison between global temperature anomalies relative to 1994-2008 in both CO2 emissions scenarios (1880-2100)
Table 5. Comparison between Different Studies Expectations for GMSLR by 2100
     

5. Conclusions

Modeling the relation between global warming and GMSLR is achieved successfully by looking at previous CO2 emissions and sea levels data. IPCC minimum (RCP2.6) and maximum (RCP8.5) scenarios are necessary to determine our future expectations on GMSLR. Sea level rise issue will continue as long as humans keep burning fossil fuels and generating undesired amounts of greenhouse gasses. Oceans have higher tendency for thermal expansion in higher temperature atmosphere and therefore water volume increases. Additionally, warmer Earth’s surface yield to higher melting rates of both glaciers and ice sheets in Greenland and Antarctic regions. Our results concluded that GMSLR will likely increase by an annual increase rate of 2.35-18.8 mm year−1 and that is equivalent to a rise of 0.2-1.6 meters in 2100. The calculated GMSLR range is compared with previous studies values that had almost similar range of what we have obtained. Another confirmation to our results is the determination of the total rise in temperature in the period 1880-2015 which is around 0.85°C and similar to literature data. However, accumulated temperature rise is expected to be between 1.22°C and 4°C by the end of the twenty-first century.
The simple linear model provided an approximation to the GMSLR by 2100 as compared to previous studies. Our model may not apply to other studies because it is simplicity may show flaws in other cases. We had a special case in which a particular set of data was in agreement with previous works after using linear correlations. In fact, there are many other advanced studies with more complex models which showed more accurate results to the GMSLR. Our model is only an attempt to confirm, develop and enhance previous calculated GMSLR data in a simple way. Next generations should consider the highly negative impact of future sea level rise on society; hence, more complex and accurate models, advanced observations and coastal impact studies should remain a major area of future climate research.

ACKNOWLEDGEMENTS

The author would like to thank the Saudi Arabian Cultural Mission (SACM) for supporting, funding and encouraging me to accomplish this work, without whom this research would not be possible.

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