On the Quantitative Tripartite Allocation of the Atmospheric Vapor, Oqtav


 The quantitative distribution of AVM into three distinguished vapor endmembers is lacking in the literature. This work fills such a gap. The isotope ratio, δ18OL, of rainwater in Winter, and artificial condensates in Summer, gave the 18OV contents of the AVMs at temperature-dependent equilibrium, downtown Cairo city, Nile Delta apex. We used our models, TIMAM, CLAW, and SIGNALS to process the δ18OV and the commensurate S values in several AVM data sets for determining the percent and mass contributions of three moisture origins and their temporal waveforms. The proportions revealed the Marine vapor dominance, followed by Evapotranspiration contribution. By far, the free Troposphere source showed a slight input. The quota of each constituent manifests a delayed waveform vs. the δ18OV influx, which shows a diurnal peak and a nocturnal tunnel. The moderate ET percent inputs in Winter, and by daytime, impose significant AVM 18O enrichment. In contrast, the high Maritime vapor inputs in Summer, and by night, stand behind the depleted AVM 18O content. The relationship between the mass input of each source and the AVM isotope ratio show significant dispersion for the negative trend of the diurnal-nocturnal Marine vapor in the two seasons. Such a high scattering is due to the mingling of the diurnal northern wind-gust convection (marked by low Marine vapor input) and the nocturnal steady advection (characterized by high Marine vapor input). Marine vapor waveform has a 12-hour time-lag by the intertwining of turbulent diurnal transmission, and steady nocturnal transport, via the long trajectory (180 km) from the Mediterranean coast to Cairo. In contrast, the relationships between ET mass input and AVM isotope ratio, on the one hand, and between the Troposphere vapor mass input and AVM isotope ratio, on the other hand, manifest low-dispersion positive and negative regressions, respectively. Such a low dispersion is due to short transport pathway, narrow range of the biological input (that increases only during daytime), and Troposphere downdraft (moving northward in Winter but southward in Summer). The ET waveform has a Zero-hour time-lag, like that of the Troposphere vapor. Albeit the low S value of the Troposphere vapor, its impact on the AVM isotopic depletion is significant due to its extremely shallow 18O content. The Troposphere input increase, at low S values of the AVM, is related to regional drought, as expected. The high S values, of Marine and biotic origins, usually go with temperature apogees, especially in Summer, as anticipated. The used models help in improving the time-series simulation of evaporation runs, since using seasonal δ18OV and S markers is better than using a snapshot. The ternary-vapor-source allocation procedure is a breakthrough in isotope hydrology. This thoroughly useful procedure will prove its ultimate benefits when the users get CRDS laser-controlled devices for the continuous measurements of the isotopic ratios in the local AVMs.


Introduction
The Planetary Boundary Layer, PBL, governs heat transfer, temperature uctuation, wind blow up, and moisture transport with the air-masses ow in that atmospheric skin layer directly buoyant over land and ocean surfaces. The atmospheric vapor mixtures, AVMs, and temperature change are in close relationship to all the primary atmospheric hydrological processes, including precipitation, evaporation, and transpiration.
The meteorological conditions of the Mediterranean basin are in sharp mismatch to that of the Great Sahara and acute contrast with the European continent in the north, and the cultivated lands of the Nile Delta in the southeast.
The main features of the weather conditions prevailing in Cairo City, at the Nile Delta apex, are well known and entirely reported by recording and analyzing the typical relevant meteorological parameters for long decades. However, hydrology research workers seldom publish the isotopic composition of precipitation (e.g., Zhang et al., 2020) and atmospheric vapor of the Mediterranean basin and for countries to the south in the region. This work is the rst of its category for the 400 km 2 Cairo city urban zone, 180 km south of the seashore. This substantial urban zone is widely affected by the neighborhood of the vast rural counties of the Nile Delta, 20,000 km 2 , to the north, but within earshot surrounded from the west, east and south by the extended Sahara terrains, Despite the regionally prevailing excessive drought, governed in the rst place by the Hadley Cell regime over the Great Sahara, Egypt may experience a few light precipitation events per year. A scarce violent deluge may also take place, however, one time per decade, via the advent of moist air-masses to accompany a sharp temperature gradient and the ordination of a temporary low air pressure that suddenly breaks down the over-heating regime ruling the permanent regional aridity for thousands of years in the Sahara. The perpetual zonal drought that dominates the climatic conditions in northeastern Africa and southwestern Asia is the primary result of the compression of huge air-masses downdrift from the Troposphere, Gasse, 2000, leading to powerful high-pressure cells, and subsequent adiabatic heating.
The singular weather rupture, however, leads to extraordinary but sporadic rainfall in Egypt. Such a rare weather breakage temporarily, but seldom, results in a swift but short adiabatic cooling period, of a few hours, and replace the everlasting adiabatic heating that dominates the vast Sahara territory for the last forty thousand years. Studying the isotopic composition of the local AVM is a must for the interpretation of such isolated and exceptional precipitation events that would occur in the northeastern territory of the Great Sahara. More importantly, the AVM isotopic approach gives an essential tool to understand the dominant drought and quantifying its impact on the balance of the local and regional surface water used in the national production of food and other vital commodities.
A valuable, high-end application is to determine the quantitative distribution of the vapor sources that make up the local AVMs in Winter and Summertime. Such an application is indispensable for any project that targets the arti cial condensation of the high moisture contents retained in the local air-masses, especially in the hot season.
The arti cial condensation of the immense reserves of air-moisture over the hot terrains is a unique outstanding method in combating the dominant aridity in Egypt via the installation of an innovative human-made approach that lls the gap of lacking adiabatic cooling that imposes the rarity of precipitation at the southeast of the Mediterranean basin. When conventional hydrology cannot provide solutions for the local freshwater shortage problems, we mostly need nonconventional hydrology methods, procedures, and innovations.
In meteorological hydrology, we need extensive information about the spatial and temporal moisture allowances in the air-masses over the agricultural regions affected by the freshwater scarcity that now extends, under the current humanmade climate change, to Sub-Saharan Africa, Eastern Europe (Marchina, et, al. 2019), and Central Asia (Viviroli et al., 2020), not only the Sahara of the Arab countries and other nations in the Middle East.
The downstream Nile basin is a unique riverine system in its historical and current hydrological conditions in the dry and hot Sahara. The Nile Delta has seen an elaborate natural and human changes in the last few thousands of years. The interaction of old climate change and the human-made interventions (and their impact on the Nile downstream system) resulted in remarkable modi cations in the water budget and land use in Egypt since the start of the written history, with aridity becoming more accentuated in the last two thousand years, Flaux et al., 2013. Such excessive aridity is a candidate to accentuate ahead from the present-day situation, Stephens, et al., 2020, andKhozyem, 2020. Besides, at present, there are intentional exterior dangers that threaten the Egyptian Nile in ow continuity, for the rst time in history, by building dams on the Blue Nile, at the far head reaches, of such a river, old of six million years in Egypt, connected to the Blue Nile since 650 thousand y BP, after signi cant topographic and climatic changes in the northern and eastern African belts.
The builders of dams on the Blue Nile falsely pretend that Egypt con scates the Blue Nile discharge while the reality is that the Nile's head reaches have another twelve rivers and receive >1000 BCM of precipitation per year whereas Egypt receives 5.50% of that colossal water deposition on the Nile basin. Moreover, they falsify everything to forget that this is God's water in the skies, not even the Ethiopians water on the ground. By the international law of water rights in force and action, no upstream land has the right to cut off the river water ow to the downstream countries. Otherwise, they are practicing a dirty little game of war declaration, and they do not ever know what destructive war may come to them; they would have to pay a heavy price for their primitive madness of trying to kill Egypt via thirst and hunger.
This work presents the rst study of its kind in the eld of the isotopic composition and quantitative distribution of three moisture sources in the local AVMs, at Cairo City, along with the change in the contribution of these vapor sources in Winter and Summer, primarily through the conjunctive use of d 18 O and speci c humidity data. The purpose is not only to elucidate the internal mixing processes and to reveal its isotopic impact on the local AVMs isotopic signals but also to follow the trend of change in the contribution of each vapor source in the two seasons.
The details of daily and seasonal isotopic signatures of the local AVM can be bene cial for the experimental work on the estimation of the evaporative losses from local and regional surface water bodies under the steady and unsteady regimes. Such experiments are of prime interest for the follow up of the local and regional water budgets, Benettin et al., 2018 andZhao et al., 2014. Besides, the present work makes use of the dynamic isotopic composition of the Summertime AVMs, on an hourly basis, for arti cial condensates, instead of using average snapshot values in the long term, of about one day for each vapor sample, if the standard cryogenic vapor collection procedure was to follow. The high-resolution time scale, Helliker et al., 2002, is helpful for the precise simulation of the evaporation rates in virtual runs using a time-series set of data on a computer, e.g., via the Hydrocalculator software, Skrzypek et al., 2015, and in the corresponding eld experimental work using a Class-A pan. In the results, we will see that the isotopic compositions of the local AVM pulses show a daily cycle (with distinct diurnal peak and nocturnal trough) that is to superimpose on the dominant isotopic enrichment in Winter vs. depletion in Summertime, for different reasons explored in the results and discussion.
Furthermore, the lessons to learn from discovering the regime of the local AVM isotopic signals can be fundamental to regions as far as the Nile upstream reaches for the interpretation of the unique enriched isotopic composition of Nile water, as shown by the interactive diagrams in Fig 15 discussed later. In this context, the recycling of the evapotranspiration from the Nile upstream and downstream reaches, e.g., in the African tropical forest high lands and the Nile Delta, respectively, is to understand further using the stable isotope method as applied in the present work.
Also, to develop an e cient protocol to get arti cial massive freshwater production from the atmospheric vapor via our current project (Water as an Atmospheric Vapor Edition, WAVE), the isotopic data, along with the corresponding speci c humidity, and the technical processing details about the cooling devices, procedures, and models to use for the immense condensation of the AVMs, are urgently needed to ght freshwater shortage problem locally and in the similar regions worldwide.
Moreover, the thorough isotopic information on the atmospheric vapor may later induce the incorporation of the isotopic signals of the AVMs into the regional, and international, micro-meteorological data sets, since the isotopic composition of the AVMs is as energetic as the other meteorological parameters. Jointly with the satellite-based isotopic predictions, introduced by Isoscape, Ref, and Hysplit (Zhang et al., 2020). Such integration will promote the development of micrometeorology and isotope hydrology since the current climate change is actively imposing additional shifts in different vapor sources contributing to the local and regional AVMs.

Theoretical background
The procedure we use to get an estimation of the contribution of each vapor source to the local AVM has recently appeared in another work (CLAW, TIMAM, and SIGNALS, in the press). In short, we have started by the collection of arti cial condensates in Summertime, and rainwater samples in Winter, over the few last years. We assume the validity of the famous temperature-dependent isotopic equilibrium between the AVM and the collected liquid water. Adopting such a standard assumption is based on the characteristics of the study location that minimize the systematic and random deviations from the equilibrium between the involved water phases. These characteristics are the high relative humidity, RH, and the low altitude (+46 AMSL), where minor deviations, caused by potential arti cial fractionation, would occur in opposite directions and cancel each other, leading to favor diffusion and nally to enhance the isotopic equilibrium.
Accordingly, we calculated the isotopic ratio of the vapor phase (the AVM) using the isotopic signature of the collected liquid water phase sample, the temperature-dependent isotopic fractionation factor, and the meteorological parameters recorded at the time of each condensation and precipitation event. We have also calculated the absolute humidity (the mixing ratio, w, g per kg dry air) corresponding respectively to each AVM, by the time of every event, using temperature, t, RH, and barometric pressure, in August-Roche-Magnus formula of the Clausius-Clapeyron equation (not shown), and then we calculated the speci c humidity, S, g per kg moist air, Our isotopic distribution model (Ternary Isotopic Mixing of the Atmospheric Moisture, TIMAM, in the press), gave the proportion of each of the three vapor endmembers contributing to the local AVM, Table 1. For each of the three vapor sources, we have a priori used an empirically veri ed isotopic signal, d 18 O/V-SMOW‰, and a corresponding S value. The isotopic ratios and S values used for the three vapor origins were to verify and validate using the observed data-points as primary constraints applied to our CLAW curved-wedge framework model. The TIMAM model was to run on Excel workspace, controlled by especial Macro. We have used three theoretical moisture sources, namely, the Tropospheric vapor, Marine vapor, and Evapotranspiration (ET). In this work, we call the Tropospheric vapor the Sahara vapor for clarity and relevance. These moisture sources are conforming with the weather conditions that are prevailing in Cairo city, where we have collected 74 samples of Summer condensates and Winter rainwater, Table 2. Figs 1 to 12 give illustrations that classify into two types. The classi cation is to observe according to the parameter shown on the x-and y-axes. The grouping is also to see via the variations in the data in use in each diagram. The comments on these diagrams, and other helpful charts, Figs 13 to 22, make the heart of the discussion. The x-axis in Figs 1 to 12 either shows the S or the d 18 O values while the y-axis shows either the percent proportion or the Weight Parameter, WP, for a given moisture origin participating in the making up of each AVM. The weighted contribution (that we call the Weight Parameter, WP) has the same unit as S, as it is to calculate using the previously determined S value for each AVM, and the contribution of an individual vapor origin in the corresponding AVM WP = (individual percent contribution/100) * S of the AVM This straightforward formula introduces the mass of the individual moisture source, instead of its proportion in the AVM. The WP value is handy praise not obtainable by any direct measurement as it offers a source-speci c humidity-content for the concerned vapor endmember. Via such a simple individual absolute-humidity-parameter, we can tell, in Figs. 4, 5, 6, and 20, for example, how many grams of Marine moisture, or any other contributing moisture source, is present in one kilogram of the moist air of each local AVM. The ternary mixing model, TIMAM, is to use rst to obtain the percent contributions of up to three moisture sources in the local AVMs when the isotopic signals of these origins are known or assumed on some theoretical or empirical basis. The TIMAM model, however, is also to use for binary mixing, if required, by skipping the isotopic and humidity values of a third endmember vapor source in the used spreadsheet workplace and Macro.

Results And Discussions
The Sahara moisture percent contribution is the lowest among the proportions of the three sources assumed to contribute to the AVMs in Cairo, Fig. 1., with a maximum value of 8% in Winter and 12% in Summertime. The Sahara vapor contribution is systematically higher in Summertime than in Winter. The negative relationship between the Saharan percent contribution and S re ects the role of the Saharan vapor source in the local drought, even in Winter. The high S values of the AVMs in Summertime represent a "lost chance" as the estival moisture cannot lead to precipitation due to the prevailing high temperatures. The hibernal intrusion of the Tropospheric (Saharan) downdrift also stands behind the abortion of precipitation in Winter. Rainfall events over Cairo and the Nile Delta are exceptional but may occur by a rare sudden breakage in the Hadley Cell regime governing the regional drought conditions in the southeastern Mediterranean basin. Rare precipitation events would occur, however, a few times per year, by the sudden advent of exceptional confrontation of external humid hot-stream with external cold air-masses. Infrequent signi cant precipitation may also take place, a few times per decade, via the inception of a regional deep and vast depression cell that leads to sharp adiabatic cooling, as the one called "Dragon" shower of 12-14 March 2020. Compared to the contributions of the Marine vapor and ET concerning S, shown in Figs. 2 and 3, the relationship of the Sahara vapor contribution with S, Fig. 1, shows a salient low dispersion in the two seasons. This behavior re ects the consistency of the Tropospheric (Sahara) downdrift that produces adiabatic heating the year-round. The relationships of the Sahara vapor WP with S Fig. 4 show the same behavior of the relationships of the Sahara percent contributions with S, Fig. 1, except the linear regressions with a slightly larger negative slope, and lower locus, in Winter than in Summertime. The higher WP values in Summer re ect stronger downdrift of Tropospheric (Sahara) air layers in the hot season. Albeit the remarkably low WP values of the Sahara source in the local AVMs in the two seasons, their isotopic impact on the isotopic ratio of the AVMs is sharp due to the profound isotopic depletion in the Sahara vapor. The ET WP relationship with S, Fig. 6, is like the ET percent contribution relationship with S, Fig. 3, except for the signs of the two regressions. The Summertime data-points, however, show much dispersion in Figs 3 and 5. The WP ranges of ET for the hibernal and estival seasons are comparable and re ect the permanent biological activities in the cultivated Nile Delta lands. These activities produce about the same absolute ET moisture despite the different ET uxes in the two seasons. This piece of information is precious since it reveals the moisture-distribution that the percent contribution may hide. The wide WP range of the vegetative source in the two seasons is a direct re ection of the weather conditions and the cropping pattern in the Nile Delta since ET is absent by night, something that accentuates the diurnal signal of ET WP in the two seasons. However, the hibernal ET WP data-points appear at a lower S position and show much more signi cant regression than the estival ET WP data-points.
The Sahara vapor percent contribution in relationship with d 18 Fig. 9 as if the opposition is a vertical mirror image. Fig. 9 is showing that the ET percent contribution with d 18 O values of the AVMs is slightly higher in Winter than in Summertime (except for the few Spring data-points shown to the right-hand side below the regression line). Both relationships, however, have a signi cant positive regression. Compared to the behavior of the percent contributions of the Sahara and Marine vapor, Figs 7 and 8, respectively, the ET data-points have very low dispersion. Such positive trends re ect the permanent presence of the ET vapor source the year-round and thanks to its diurnal pulse and nocturnal fading. Higher ET percent contributions are associated with isotopically enriched AVMs in Winter (keeping the few Spring data-points excluded). However, the last statement could be an artifact of the mixing process of the three vapor sources if the isotopic composition of the ET pole was not further enriched in Winter but more depleted in Summertime. The steeper positive ET regression with d 18 O in Winter shown in Fig 9 agrees with the ET high ux released out from the Nile Delta crops in the cold season, and such a high hibernal ET ux is more than expected for the cold season. However, the last statement could be an artifact of the mixing process of the three vapor sources. Otherwise, the isotopic composition of the ET vapor pole would have a remarkable enrichment in Winter and more depletion in the Summertime. Such an isotopic shift is to verify in the future. Nonetheless, the isotopic depletion of some data-points of the AVMs in Summertime may result from the isotopically depleted ET ux of a Summer crop (e.g., Corn). However, the situation is so beautifully complex to be justi ed by a single crop criterion since other data-points show visible isotopic enrichment in Summertime, as shown in Fig. 14 bottom corner diagram. The interactive diagram in Fig. 15 shows that the decrease of ET contribution in Summer is responsible for the signi cant isotopic depletion in the estival AVMs (as the higher contribution of the Marine vapor source is the real reason for such isotopic depletion in the hot season). The decrease in ET contributions in Summertime is a byproduct of the estival sharp increase in the Marine vapor source contributions. Thus, the Marine source is actively transferring its depleted isotopic ngerprint to the AVMs, preferably in Summertime. As the available data is showing ET contributions in the two seasons, we may look at the point at 30% in Summer in  To this extent, we show what happens to the contributions of three vapor sources when we used one xed value for the isotopic composition of each vapor source and two values for S, one for Winter and the other for Summer. For more practical purposes, one refers to these two values as exhalation in Winter, and inhalation in Summer to consider what happens when dealing with the "inhalation" of the S values in the Summertime vs. the "exhalation" that occurs in Winter. By the term "inhalation," we mean the signi cant increase in the S value for each vapor origin in Summertime, in contrast to the term "exhalation," which means a remarkable decrease of S value for each vapor origin in Winter, Fig 21. Such changes in the S values correspond to the acute change in the temperature and RH in the two seasons. To keep things simple, we assumed, however, that no change in the isotopic composition of the three vapor sources takes place. The reduction of the speci c humidity in Winter will result in the shrinkage of the curved wedge shown by the CLAW model, Fig 21, and consequently, the shift in the percent contributions, and the WP values, calculated by the TIMAM model, for the three vapor sources contributing to the AVM. Other users may, however, appraise for making some change in S and d 18 O values for the three vapor sources. Such changes are to introduce by the user as required for his experimentation.   These four diagrams are to run in Excel to show the impact of the different isotopic compositions and percent contributions of the used three vapor sources on the isotopic composition of the local AVMs. These water vapor mixtures visibly become more isotopically depleted in Summertime at the low percent contribution of the ET vapor source when the Marine vapor contribution is at maximum. Besides, the Sahara vapor endmember has a higher contribution to the Summertime than Winter AVM. Also, the estival increase in the Sahara vapor proportion, to 10-12% in Summer, partially leads to the isotopic depletion in the AVM in the hot season (black square in the left bottom diagram). Albeit the shallow S values for the Sahara vapor origin, its extreme isotopic depletion stands behind its perceivable impact on the isotopic composition of the local AVMs, especially in Summertime. The visible hibernal isotopic enrichment of the AVM is the direct result of the high ET vapor source contribution in Winter (the black square in the left bottom diagram shifts upward).
The water liquid phase that would condensate from an AVM, with-10 per mil for d 18 O, will have the d 18 O value of about 0 per mil for the obtained precipitation. This example is of primary importance for the interpretation of the isotopic ratios of the Nile water at the river middle African head reaches. Assuming a dominant ET recycling origin, for the signi cant precipitation events that make most of the runoff that goes to the River Nile, at its up reaches, and assuming -10 per mil for d 18 O of the AVMs at the river head reaches, and 0 per mil for d 18 O for mid-African precipitation, the runoff water that goes to the river course would show d 18 O of about +1 per mil, or so, in the African rainforest heights upstream. Then, the river water gets more isotopically enriched by evaporation as it ows across the long northward pathway that nally reaches the at downstream terrains of Egypt. In contrast, if, by quite an argument, the condensation of a dominant Ocean water vapor source was, instead, to mostly form the primary precipitation events at the Nile upstream territories, the middle-African runoff that goes to the river would be marked by accentuated isotopic depletion, which is not the case. The isotopic enrichment of the Nile water, at its head reaches, visibly reveals the dominance of ET recycling, at the upstream territories (Ref), and is to attribute to massive ET ux of the dense tropical rainforests. Any widescale clearance of the tropical forests in the middle African territories will catastrophically diminish the Nile water discharge towards the downstream countries. The interactive diagrams, shown in Fig 15, supply an excellent tool for the interpretation, not only of the isotopic composition of the AVMs downtown Cairo city but also for understanding the enriched Nile water isotopic composition in the upstream mountainous regions, as we have just explained in the last few sentences.
Moreover, we believe that the accelerated deforestation in tropical Africa (Neef, 2020) will lead to diminishing the ET proportion in the African AVMs that induce precipitation at the Nile upstream countries. High ET recycling in the Nile's head reaches stands behind the enriched isotopic composition of the upstream river water, Fig. 15. As such, a signi cant depletion in the isotopic signature of the Nile water will visibly be due to the substitution of a fraction of the ET origin by the Ocean vapor in the rainforest tropical African territories due to unfortunate massive deforestation. Hundred years ago, the rainforests territories were covering about 14% of the total land worldwide, but today it is only about 6%, and the human activity has removed about half of the tropical rainforests.  the European continent. Drought appears, on the x-axis, on four diagrams, via the low S values (top charts) and the mixing ratio, w, values (bottom graphs). Comparatively, Gat's data-points con guration indicates that even in Winter, the air masses over the Nile Delta apex at Cairo city have higher humidity contents than that of the air-masses over the open eastern Mediterranean water surface. Unfortunately, Gat and co-workers have not reported any isotopic or humidity data for the east Mediterranean basin in Summertime. However, we may assume that the isotopic composition of the atmospheric moisture over the eastern Mediterranean will stay constant the year-round (and show the same range of values as that of Gat's Winter isotopic contents). Only the S and w values will signi cantly increase in Summertime in this Marine basin. Gat data-points will, virtually, move (on an oblique line with the same trend as that of our data-points for Cairo city) to the right-hand side bottom corner of the four diagrams if Gat and co-workers have also sampled the atmospheric mixtures over the eastern Mediterranean in the Summertime of the year 1995, as they did in Winter of the same year. Nevertheless, Gat's virtual data-points in the new position, for such an imaginary Summertime campaign, will appear in the two diagrams above our Cairo data-points and the oblique binary mixing line of the Marine and the Sahara vapor. The presence of our data-points below the Gat imaginary estival campaign might indicate that our isotopic compositions for Cairo city have isotopic depletion compared to the eastern Mediterranean basin vapor. What, then, would be the meaning of such isotopic depletion in our data-points? Would the assumed depletion in our data-points indicate the impact of climate change (namely, via air temperature increase) over during the 22-24 years between 1995 (Gat's sampling date) and2017/2019 (dates of our work)? The answer is no. The reason for such a net negative response is that any signi cant increase in air temperature will lead to a decrease in the value of the equilibrium fractionation factor, and this leads to a more enriched isotopic composition for the AVM corresponding to our collected liquid-phase water samples. In contrast, we are looking for a plausible reason for the thought depletion in our 18 O values (of the local AVMs assumed in equilibrium with the liquid phases that we have collected in Winter and Summertime) compared to the eastern Mediterranean vapor isotopic composition. The sole reason for negating the depletion discrepancy in our datapoints is the mixing dynamics of three vapor sources, including the ET component as an important isotopic enrichment controller in the regional AVMs. Such a biological controller governs the positions of our data-points shift towards the top right corner in the four diagrams, even if the contribution of the ET source is not signi cant. We conclude, then, that Gat's vapor samples had a substantial ET component diffused from the European continent, and he has not reported such a potential component over the open seawater surface of the eastern Mediterranean basin. If Gat's vapor samples had not any ET component, his data-points would precisely show up on the binary mixing line of the Marine and the Sara sources in the four diagrams, not above such a line. This argument says that Gat data-points are more enriched than expected from the simple binary mixing between the Sahara and the Marine vapor sources. Such enrichment is certainly due to the impact of the continental ET component in Gat's vapor samples. Noteworthy also is to mention that the limits of our experimental data-points for the local AVMs have governed the isotopic composition and speci c humidity for the Marine vapor source. However, the compositions of our three vapor sources are tentative and may be subject to seasonal shifts but never to the extent to force our Marine pole to appear in the position and place of Gat's Marine vapor data-points. When the Cavity Ring-Down Spectroscopy, CRDS, devices provide full isotopic data by the continuous and direct measurement for the local AVMs, such controversy may get to an end. However, we are not the only research workers who mention critics of Gat data. A preprint, unpublished discussion paper (Cox et al., 2012) has already contended issues in the d-excess values for the eastern Mediterranean surface water reported by Gat in 1996 for his 1988/89 data and attributed such a discrepancy to faulty isotopic measurement by Gat teamwork. Fig. 18. The ternary Piper diagram is showing the contributions of the three vapor sources composing the local AVM data-points. Our data-points are mostly aligned close to the right-hand side of the Piper triangle. The right-side is a binary (Marine and ET) mixing line. The Sahara vapor contribution increase drags the data-points to the left-hand side, towards the Piper inner space. Such a triangle supplies complementary information to add to the data-points orientation pointing towards the top corner of the Korean-style space to the right-hand side of the Sahara-Marine binary mixing line (top diagrams in Fig 17). The Korean-style chart shows the binary mixture of the Marine and Sahara vapor, where ET contribution increase triggers the data-points to the top right corner. The Korean style space is superior to the Piper triangle as we do not need to know the percent contribution of the three vapor sources in each AVM. However, the Piper triangle is superior as it shows the percent input of each vapor source. Piper triangle, however, would fail if the contribution of one of the three vapor sources was not available. Nonetheless, we have plotted Gat's data-points of January 1995 (Gat et al., 1995) on the Piper diagram, using the binary Marine and Sahara vapor mixing, just for illustration purposes, via ignoring the ET component data in TIMAM model and Macro. The ET component was to ignore in Gat's data-points processing for this purpose. The reason is that no calculation is possible via our TIMAM model for the Gat-data-points using his isotopic ratios and S values as we do not know the d 18 O and S values to use for the ET source contributing to Gat's data-points. Still, we may assume it, in other work, as being a continental (European) ET component for which we may nd the corresponding isotopic and humidity data in the literature. However, the most critical problem in Gat isotopic data is that each of his collected vapor samples was to obtain in about one day, and thus the provided temperature and RH data were also mean values over time and space. This obstacle is challenging due to the bulk nature of Gat's isotopic and meteorological data in terms of the long time needed to collect each vapor sample via the standard cryogenic vapor procedure. The long time required for collecting each vapor sample means that the isotopic ratio for each vapor sample was an average value to report overtime and on the ship navigation trajectory. This situation leads to unavoidable irregularities as the isotopic ratio of the atmospheric vapor, and the corresponding meteorological data will change every hour. In contrast, our samples have an excellent temporal resolution of one hour at one location. However, we may assume that the visual projection of Gat data-points would show a virtual ternary mixing con guration that indicates about 15% ET contribution, 10% Saharan vapor component, and 75% for the proper Mediterranean vapor source, as a rst approximation. Albeit its strange shortages, Gat data re ect that each of his vapor samples is to primarily represent a mixture of at least two vapor sources, namely the Marine vapor and the Tropospheric moisture (Sahara vapor). This observation also means that there is no isotope and humidity data possible for any pure Marine vapor pole over the eastern Mediterranean Sea. The isotopic and humidity data for a pure Marine vapor source would never exist over such a semi-closed sea. The Mediterranean, contrary to the open oceans, unavoidably gets the impacts of the continental moisture uxes, out from the European, Asian, and African continents, via the wind activity. Accordingly, we are right in assuming the isotopic composition and speci c humidity reported in this work for the theoretical Marine vapor source as constrained by tting Cairo city data-points by the Macro of TIMAM model. If the late statement is not the last word in the quanti cation of the isotopic composition of the atmospheric vapor of the region, it offers an outline direction on the long road. No atmospheric vapor source is a "pure" vapor source No single statement, however, can settle every con ict in that issue without using an hourly resolution for the continuous and direct measurement of the isotopic composition of the local AVMs using the adequate CRDS devices. Moreover, the satellite Isoscape isotopic model could not ll such a gap.     . Guided by the shown wind rose, we assume a mean northern wind speed of 5 km/hr. This speed will impose a 36-hr delay on the diurnal and nocturnal Marine isotopic and humidity signals to arrive at Cairo across 180 km (the distance between the Mediterranean coast and Cairo city). The ET vapor source has a 24-hr delay for its diurnal isotopic and humidity signals to cross a 120 km distance between a point in the middle of the northern sector of the Nile Delta (i.e., 60 km to the south of the Mediterranean coast) and Cairo city. Figure 24. The Time-controlled dynamics, for the change in the percent contributions of the three vapor sources making up the local AVM, at different geographic keystones to the north of Cairo, namely, 1, at the Mediterranean coast, i.e., +180 km, 2. at +120 km, 3. at +60 km, and 4-downtown Cairo. The top diagram is showing elusive horizontal mirror-image for the Marine, and ET, percent contributions downtown Cairo (large blue and green squares, respectively) as the Marine %input increase by nighttime in Cairo is visibly counter-intuitive. Such nocturnal Marine contribution increase in Cairo is an artifact imposed by the time-lag caused by wind direction, trajectory, and speed since the Marine windblown mostly starts at the Mediterranean coast. Compared to the Marine signal, the ET signal trajectory is shorter (considered here at +120 km, i.e., at the north of the central cultivated lands of the Nile Delta). The diurnal increase in the ET source percent contribution is normal behavior as transpiration fades out by nighttime. The behavior of the Sahara vapor percent contribution (small void red squares, bottom diagram) is like that of the ET source percent contribution as the Sahara signal also has a short trajectory (considered here at +120 km), and the active diurnal wind helps in its transmission to the capital mostly by daytime. Assuming diurnal and nocturnal northern wind speeds of 8.88 and 3.75 km per hour, respectively, the northern diurnal wind needs 1.69 days to reach Cairo while the nightly northern wind needs four days.
Alternatively, for simplifying, we consider a mean speed of 5 km per hour for the northern wind the year-round, and we change the distances of the initiation geographical keystones from Cairo for both the Marine and ET percent contribution signals. The top left corner labels marked as +180, and +60 km (top diagram) show two initiation keystones for the Marine vapor source, one at +180 km to the north of Cairo, i.e., at the Mediterranean coast, and the other at +60 km, i.e., inland in the Nile Delta nearby the capital. The percent contribution of the coastal Marine vapor source (at +180 km) will be subject to acute modi cations as it travels southward to Cairo. It will reach the capital after 36 hours, i.e., with a 12hour time-lag, while the ET source signal, initiated at the +120 km keystone to the north of Cairo, will have no time-lag, as it takes 24 hours to reach the capital when transported by the same northern wind speed of 5 km per hour. The notable time-lag for the Marine percent contribution will lead to the signi cant dispersion observed in Figs. 11 and 20 for the relationship between d 18 O and WP of the Marine vapor source. Such a high scattering (Risi et al., 2020) is due to the active blend mingling of the Marine vapor controlled by the dominant northern wind activity. The Marine vapor is isotopically enriched, and has higher WP values, by daytime; still, the inverse is right for nighttime. These differently marked isotopic-humidity signatures of the Marine vapor source by daytime and nighttime will actively mix along with the signal trajectory southwards, and such blending will cause the observed high dispersion for the relationship between  Fig. 7 reports the relationship between d 18 O of the AVM and time (large grey squares) while the secondary vertical axis is in use to communicate the relationship between the percent contributions of the three vapor sources and time on the xaxis. Accordingly, please do not refer to the Marine data-points in Fig. 7 and wrongly look for elusive projections for them on the primary vertical axis in this diagram. Otherwise, the wrong projection will lead to the false impression that the Marine vapor source data-points show up enriched isotopic compositions. Visibly, this alarm-statement also applies to the ET vapor source data-points.

Conclusions
Our method of hourly collecting arti cial condensates in Summer proved successful to replace lacking CRDS device for isotopic measurement in atmospheric vapor mixture, AVM. For arti cial Summer condensates with winter rain samples, data processing has given a quantitative distribution for each AVM into three end members using three new models, including temporal AVM d 18 O waveform with diurnal peak and nocturnal tunnel.
The moderate contribution of the ET vapor source stands behind the diurnal and hibernal enrichment in ACM 18 O. In contrast, the little input from the Troposphere source and the dominant Marine vapor input stand behind the nocturnal and estival AVM 18 O depletion. Diurnal convection and nocturnal advection, in the two seasons, resulted in a high-dispersion negative relationship between the mass contribution and d 18 O for the Marine vapor source, with low input by daytime and high input by nighttime. On the contrary, the ET source diurnal transmission shows a low-dispersion positive regression for such a relationship since ET has an increasing diurnal release. A 12-hour time-lag for the Marine source waveform results from the mingling of the turbulent and steady Marine vapor inputs by daytime and nighttime, respectively, via chaotic and calm air-masses and the lengthy trajectory from the Mediterranean coast to Cairo. In contrast, a Zero-hour time-lag is to observe for the other two vapor sources, due to shorter pathways under the same wind direction and speed, and the daytime-only-ET-vapor-release vs. the all-day Troposphere layer downdraft.
The used procedures give useful isotope and humidity information to improve understanding the water budget. The models help to run the evaporation experiments better. Interactive diagrams, for the relationship between percent input and AVM d 18 O, explain the enriched 18 O signals of upstream Nile water as being a result of robust ET recycling at the head reaches. Recycling of Marine and ET vapor is to con rm for freshwater generation from the AVMs to ght drought, especially in Summer, at the mid-latitudes. Besides, the used models are successful in enhancing CRDS isotope measurements. These models are a breakthrough in isotope hydrology.

Con ict of interest
We have no con ict of interest to declare.  Figure 1 Negative curvilinear relationships between S (on the y-axis) and Tropospheric vapor % input (on the y-axis). Tropospheric vapor % input values appear at higher S levels in Summer. Figures 1 to 12. The twelve diagrams are showing comparisons of three vapor source contribution in the local AVMs, at Cairo city, namely the Tropospheric (Sahara) vapor, Marine vapor, and ET. The rst and second rows (Figures 1-6) have the speci c humidity, S, values on the x-axis, while the third and fourth rows (Figures 7-12) show δ18O. The rst and third rows (Figures 1-3, 7-9) have the percent input on the y-axis, while the 2nd and fourth rows (Figures 4-6, 10-12) show the weight parameter, WP, with WP value = S * input % / 100. Nearby cell Z 55 in File 01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X (Folder LINK2).

Figure 2
Relationships between S (on the y-axis) and Marine % input (on the y-axis). The estival input has positive regression, contrary to a negative regression in Winter. Figures 1 to 12. The twelve diagrams are showing comparisons of three vapor source contribution in the local AVMs, at Cairo city, namely the Tropospheric (Sahara) vapor, Marine vapor, and ET. The rst and second rows (Figures 1-6) have the speci c humidity, S, values on the x-axis, while the third and fourth rows (Figures 7-12) show δ18O. The rst and third rows (Figures 1-3, 7-9) have the percent input on the y-axis, while the 2nd and fourth rows (Figures 4-6, 10-12) show the weight parameter, WP, with WP value = S * input % / 100. Nearby cell Z 55 in File 01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X (Folder LINK2)  The random relationship between δ18O (on the y-axis) with Tropospheric WP (on the y-axis). Figures 1 to 12. The twelve diagrams are showing comparisons of three vapor source contribution in the local AVMs, at Cairo city, namely the Tropospheric (Sahara) vapor, Marine vapor, and ET. The rst and second rows (Figures 1-6) have the speci c humidity, S, values on the x-axis, while the third and fourth rows (Figures 7-12) show δ18O. The rst and third rows (Figures 1-3, 7-9) have the percent input on the y-axis, while the 2nd and fourth rows (Figures 4-6, [10][11][12] show the weight parameter, WP, with WP value = S * input % / 100. Nearby cell Z 55 in File 01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X (Folder LINK2) Figure 11 Random relationship between δ18O (on the y-axis) and the Marine WP (on the y-axis), same as in Fig 20. Figures 1 to 12. The twelve diagrams are showing comparisons of three vapor source contribution in the local AVMs, at Cairo city, namely the Tropospheric (Sahara) vapor, Marine vapor, and ET. The rst and second rows (Figures 1-6) have the speci c humidity, S, values on the x-axis, while the third and fourth rows (Figures 7-12) show δ18O. The rst and third rows (Figures 1-3, 7-9) have the percent input on the y-axis, while the 2nd and fourth rows (Figures 4-6, 10-12) show the weight parameter, WP, with WP value = S * input % / 100. Nearby cell Z 55 in File 01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X (Folder LINK2) Figure 12 The signi cant positive linear relationship between δ18O (on the y-axis) and the ET WP (on the y-axis). Figures 1 to 12. The twelve diagrams are showing comparisons of three vapor source contribution in the local AVMs, at Cairo city, namely the Tropospheric (Sahara) vapor, Marine vapor, and ET. The rst and second rows (Figures 1-6) have the speci c humidity, S, values on the x-axis, while the third and fourth rows (Figures 7-12) show δ18O. The rst and third rows (Figures 1-3, 7-9) have the percent input on the y-axis, while the 2nd and fourth rows (Figures 4-6, 10-12) show the weight parameter, WP, with WP value = S * input % / 100. Nearby cell Z 55 in File 01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X (Folder LINK2) Figure 13 The relationship between the isotopic composition and the percent contribution (left-hand side diagrams) and the relationship of the S values with the percent contribution (right-hand side diagrams) for the three vapor sources making the local atmospheric vapor mixtures. The information provided by the two types of plots is complementary. Nearby cell Ag 330 In File 01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X In Folder LINK2.

Figure 14
Comparison of the percent contribution to the S value relationship (top diagrams) and the percent contribution to δ18O values relationship (bottom diagrams) for the ET vapor source (left-hand side diagrams) and the Marine vapor source (right-hand side diagrams). The information provided by the four plots is visibly showing the opposite trends of these two vapor sources. The higher ET contribution goes with, the lower S values and the enriched signatures of the atmospheric vapor mixtures while the high Marine vapor contribution goes with the higher S values and the depleted signals of the atmospheric vapor mixtures. The locus of Winter data-points appear above (in the left-hand side diagrams) or below (in the right-hand side diagrams) the locus of Summer data-points in harmony with the opposite behaviors of the two vapor sources. The contribution of the ET source (not its isotopic composition) is the primary controller of the isotopic depletion of the atmospheric vapor mixtures (bottom left corner diagram). Besides, the potential supremacy of the mass action of the evaporation component over transpiration in the Nile Delta lands in Summertime will not signi cantly change the isotopic composition of the combined ET term. This analysis is to understand by observing that the irrigation water is isotopically more enriched by evaporation in Winter compared to the case in Summer (due to the minimum discharge from Lake Nasser reservoir in Winter via the partial closure of the irrigation canals downstream) vs. the high discharge from the Lake in the hot season. Also, the low Winter temperatures will lead to making the isotopic composition of the vapor released by the evaporation of soil water in Winter, almost like that for the vapor released by soil water evaporation in Summer (since the fractionation factor is higher under the low temperature). Nearby cell EK 65 In the File (01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X) In the Folder named LINK2.  The relationship of the ET to Marine moisture contribution ratio with the isotopic composition (left-hand side diagram) and S value (right-hand side) of the local atmospheric vapor mixtures in Winter and Summer Nearby cell EK 40 in File (01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X) Figure 17 Four "Korean-style" diagrams for the relationship of the humidity (S or w) on the x-axis with the product of the isotopic ratio and S (or w) on the y-axis. The top diagrams show the Ternary Mixing case with S on the x-axis, while the bottom diagrams show the Binary Mixing model with w on the x-axis. The left-hand side diagrams show Winter exhalation (humidity shrinkage for the local AVMs and their vapor sources to a minimum) whereas the right-hand side diagrams show Summer inhalation (humidity expansion for the local AVMs and their vapor sources to a maximum). In the top charts, the impact of the isotopically enriched ET moisture source is visible in dragging the data-points to the upper righthand side corner. File K_01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_8BinMRO_BEST_MR_REVERSED_NEW_KOREAN Folder LINK2 Figure 18 Piper diagram for the three components that make the local atmospheric vapor mixtures downtown Cairo. The Gat datapoints of Jan 1995. shown at the upper left-hand side corner, are based on the binary mixture of the two vapor sources, namely the Marine and the Tropospheric sources since we do not know the isotopic composition and S value for the potential ET term in Gat vapor samples Figure 19 The distinct distributions of the three vapor sources in Winter and Summertime are to observe in the top diagrams of the relationship of the isotopic composition and the percent contribution, with the trend of the ET source be opposite to that of the Marine vapor source. The increase of the contribution of the Marine vapor source visibly leads to the isotopic depletion of the atmospheric vapor mixtures while the increase of the ET vapor source contribution leads to the isotopic enrichment of the atmospheric vapor mixtures. The bottom diagram is showing the superiority of the Marine vapor source, especially in Summertime, for the relationship of S values, on the y-axis, with the percent contribution of the three vapor sources, on the x-axis. Nearby cell AF 237 in File (01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_NEW) in Folder (LINK2) Figure 20 The TIMAM model relationship between the isotopic composition of the AVMs and the WP values of the three vapor sources. The dominance of the Marine vapor source is highly visible, especially in Summertime. The dominant vapor source is showing high dispersion. In contrast, the ET source has much less dispersion. The Sahara vapor source shows the lowest WP values (red squares to the left-hand side) that increase in Summertime. The increase of the Marine vapor source WP values is showing a negative trend with δ18O values while the ET vapor source is positively related to the 18O values in the two seasons with a steeper slope for its Winter data-points. The Marine vapor regime is active day and night, while the ET regime has primarily a diurnal activity that stands behind its lower dispersion. The high dispersion in the Marine vapor source data-points is related to the wide gap between its high (nocturnal) and low (diurnal) contributions, its long trajectory (180 km) and as such, it needs 36-hours for its signal transmission to reach in Cairo (with a mean wind speed of 5 km/hour) while the ET data-points have a shorter trajectory (120 km) and needs 24-hours to reach the capital (with the same wind speed given above). Also, the transmission by diurnal speedy convection wind (for the ET signal) leads to much less ET data-point scattering while the blend mingling of diurnal (rapid convection) and the nocturnal (steady advection) transmissions by wind (for the Marine vapor signal) leads to much dispersion. The ET data-points with high WP values (pointing towards the right-hand-side of the plot) correspond to daytime while its datapoints with low WP values correspond to nighttime. Also, the data-points with high 18O contents correspond to daytime, while the data-points with low 18O contents correspond to nighttime. The same con guration is to see in Fig 11. The higher contributions of the Marine vapor source correspond to nocturnal observations at Cairo, while higher contributions of the ET source correspond to diurnal observations, as seen on the secondary vertical axis of Fig. 24. However, in other locations between the Mediterranean coast and Cairo city, the high Marine vapor contribution would appear by daytime, Fig. 24, due to the time-lag phenomena for such a Maritime vapor. Nearby cell P 98 in File (01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_NEW) in Folder (LINK2) Figure 21 Curved wedge frameworks produced by CLAW model (blue curves for Winter, but red curves for Summertime) including our data-points for Winter (blue and black squares) and Summertime (red circles and red spots). The eastern Mediterranean basin data-points (Gat Jan 1995) are in purple void squares (to the left-hand side). They show up inside the Winter exhalation blue framework, but outside the Summer inhalation red framework. Sim S values in Cairo city in Summertime are higher than S values in the southern Amazon basin. Nearby cell Ab 30 in File 01A_Ternary Isotope Mixing_1_9_Winter_Summer_6_with alongmacro_3_LINKED to NOONE_BEST_7OO_REVERSE_NEW_Y_X In Folder LINK2 Figure 22 The daily evaporation rates, downtown Cairo city, for the years 2018, 2019, and 2020 (up to Friday, the 31st of July 2020). The evaporation rate increase in Spring is due to the dominance of low ambient humidity contents that persist up to the start of Summertime. Nearby cell C 3322 in File Evapo_cup and capacitive sensor_If_0000_2_non_steady_2020_1_01H In Folder New Evapo after les 3_4 corruption_21 Feb 2017_Lake Nasser In Folder 00_0_LiST_Sfax _water level_Natron time-series_Mixing_evp In Folder EtaUS

Figure 23
A wind rose diagram for downtown Cairo, Egypt, 2017. The Summer Marine northern wind (shown at the left bottom corner) blows inland and goes southward as far as reaching Cairo city, 180 km south of the Mediterranean Sea coast, after passing by the vast Nile Delta cultivated lands, where it gains additional humidity, to nally have about three times more S values, in the hot season, than the S values known for the northern Winter wind. Winter also has a southern wind component (as shown at the left top corner) blowing out from the Sahara, and goes farther northward to Cairo city, and partially resists the transmission of the Marine and ET signals to the capital especially in the cold season. We assume a mean northern wind speed of 5 km/hr. This speed will impose a 36-hr delay on the diurnal and nocturnal Marine isotopic and humidity signals to arrive at Cairo across 180 km (the distance between the Mediterranean coast and Cairo city). The ET vapor source has a 24-hr delay for its diurnal isotopic and humidity signals to cross a 120 km distance between a point in the middle of the northern sector of the Nile Delta (i.e., 60 km to the south of the Mediterranean coast) and Cairo city.