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International Refereed Journal of Engineering and Science (IRJES)
ISSN (Online) 2319-183X, (Print) 2319-1821
Volume 2, Issue 8 (August 2013), PP.01-11
www.ijres.org 1 | Page
Small Islands Water Availability Analysis In Groundwater Basin
(Gwb) And Non-Groundwater Basin (Non-Gwb) Using Modified
Mock Calculation Method
Happy Mulya1
, Prof. Ir. Jutata Hadihardadja2
, DR. Ir. Robert Kodoatie3
, Msc
Doctoral Student Department of Civil Engineering of Diponegoro University, Semarang, Indonesia.
Abstact:- one aspect that needs to be known before analysing water balance for a certain region is the amount of
water availability. One way of doing it is to calculate the water availability by using mock method, which are
developed by Dr. F. J. Mock (1973). Principally, Mock Method refer to water balance, where the amount of
volume of water in earth are constant, only in circulation and distribution varies. Mainlands in Indonesia consist
of GWB and Non-GWB area (KepPres 26 Year 2011). Both areas have different characteristic on producing
water availability. In Non-GWB ground, water flows only on soil water zone layer, while in GWB area, water
are capable to flow until the groundwater zone layer (kodoatie, 2012). For GWB area, Mock Methods
calculation needs to be modified, because there is an addition of groundwater from GWB in the form of base
flow from other watershed. Analysis result from Modified Mock Method calculation produce water availability
in GWB area are greater than in Non-GWB.
Keywords:- Small Islands – GWB Area – Non-GWB Area – Mock Method Calculation (Modified) – Water
Availability.
I PRELIMINARY
One aspect that needs to be known before analysing water balance for a certain regoin is the amount of
water availability. Water availability in the meaning of water resoures, principally comes from precipitation,
surface water and groundwater. Precipitation falling to the surface of a watershed or river basin partially will
vaporize back according to the climate processes, partially will flow via surface and sub surface into a drainage,
river or lake and partially will infiltrate to the ground as a recharge to the existing groundwater contents
(Bappenas, 2006)
Water availability which is part of the natural phenomena, are hard to control and predict. This is
because water availability consist of high spatial and temporal variability elements. Therefore, quantitative and
qualitative analysis must be done as carefully, so that accurate information can be obtained for planning and
maintaining water resourcess (Bappenas, 2006).
Ambon Island is a small island with an area of 761 km² ≤ 2.000 km² (Hehanussa and Bhakti, 2005). Its mainland
consist of GWB and Non-GWB area, are taken as a study case for analysing water availability with modified
Mock Modeling calculation.
II MOCK METHOD WATER AVAILABILITY
F. J. Mock (1973) propose a simulation model for monthly water balance for drainage area in
Indonesia, this method is called Mock Discharge Simulation. This model is specifically are used for rivers in
Indonesia (Bappenas, 2006).
Principally, Mock Method refers to water balance, where the amount of volume of water in earth is
constant, only in circulation and distribution varies. Mock Method consider inflows, outflows and groundwater
storage. Inflows are precipitaion, outflows are infiltration, percolation and those dominants caused by
evapotranspiration.
Mock Model is a simple simulation model. In its development, this model is used in the application of
water resources development such as irrigation and raw water supply. Mock Method is used to calculate the
amount of discharge from a watershed.
Flow Chart of Mock Method rainfall-runoff is shown in the figure below.
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 2 | Page
Figure 1 Flow chart of Mock Method Rainfall-Runoff (Bappenas, 2006)
Calculation process performed in Mock Method is generally described in figure below.
Potential Evaportanspiration Calculation
(Penman Method)
Actual Evapotranspiration Calculation
Water Surplus Calculation
Base Flow, Direct RunOff and Storm Runoff
Calculation
Figure 2 Flow Chart of Mock Method Discharge Calculation (Bappenas, 2006)
Water Balance
On hydrology cycle, description regarding the relationship of inflow and outflow in an area for a
certain period is called water balance. This relationship, clearly will be shown on figure below.
General equation of water balance is
P = Ea + ∆GS + TRO (1)
where:
P = precipitation.
Ea = actual evapotranspiration
∆GS = groundwater storage changes
TRO = total runoff.
Water balance is a closed cycle which occur for a certain period of annual observations, where no
changes in groundwater storage or ∆GS=0. Which means, groundwater storage determination is based on the
previous month within the annual period of review, therefore the water balance equation is:
P = Ea + TRO (2)
Transportation of precipitation forms into discharge will be shown on figure below.
Figure 3 Transportation of precipitation forms into discharge (Bappenas, 2006)
Where:
P = Precipitation
Ea = Actual evapotranspiration
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 3 | Page
GS = groundwater storage
SRO = surface run-off
DRO = direct run-off
TRO = Total run-off
BF = base flow
III WATER AVAILABILITY IN GWB AND NON-GWB
In land: in land surface, gravitationally, water flows from high places (mountains, high lands) to the low places
(low lands, coastal areas) and disembogue to the water storage (ocean, lake), water infiltrates and flow
gravitationally inside the ground from a high to low elevation. This water, furthermore, will flow to vadoze
zone (soil zone) as soil water flow and to the phreatic zone (groundwater zone or saturated zone) as groundwater
flow (Kodoatie, 2012).
In GWB, water flows inside the ground, wether in soil water zone or groundwater zone. In groundwater zone,
water flows wether in unconfined aquifer or confined aquifer. In Discharge area from unconfined aquifer, which
is where water comes out in one groundwater system formation in some condition may become one with soil
zone. In other words, in a certain topographical condition, soil water becomes one with groundwater (Kodoatie,
2012).
This groundwater zone is called Groundwater Basin (GWB). Water also flows in the Non-GWB wether inside
the ground or in the surface. Inside th ground of Non-GWB, water flows only in soil water zone, because
groundwater zone does not exist. In the surface, GWB or Non-GWB, water flows as a runoff in the watershed or
the river system (Kodoatie, 2012)
Figure 4 Simple illustration of water transportation process (Hydrology cycle) (Kodoatie, 2012)
Note: ap = surface runoff (total), at = groundwater (total)
a = soil zone, b = unconfined aquifer, c = confined aquifer
1 = interflow, 2 = groundwater (baseflow) in unconfined aquifer,
3 = groundwater flow in confined aquifer
Generally, water availability phenomenon is divided into two types, which is water on vadose zone and
water on phreatic zone. In vadoze zone, water is divided into three types: soil water, intermediate vadoze zone
and capillary water. In phreatic zone or saturated zone, groundwater exist. The division of these zone will be
shown on figure below, which shows a cross section of the earth’s water availability wether groundwater or soil
water (Kodoatie, 2012)
Figure 5 Cross section of the earth’s water availability in GWB and Non-GWB (Kodoatie, 2012)
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 4 | Page
In GWB, throughflow and interflow occur. While in Non-GWB only throughflow occur, because after
soil water zone is an impermeable layer.
Mock Method rainfall-runoff flow chart model are shown in Figure 1, where water flow follows hydrological
cycle, generally from precipitation, partially store in the surface becomes surface runoff, partially infiltrate
groundwater storage becomes groundwater runoff and furthermore addition of surface runoff becomes total
runoff. But based on hydrology cycle on Non-GWB describe flows from precipitation are partially stored in the
surface, partially infiltrate the root zone / vadoze zone / unsaturated zone and becomes soil water. With the
existance of impermeable rock under root zone, therefore water flows changes into interflow. For GWB
calculation of Mock Method needs to be modified, because there is an addition of GWB in the form of base flow
from other watershed (Figure 6a and Figure 6b)
a. Modified Mock Method in Non-GWB
b. Modified Mock Method in GWB
Figure 6 Flow chart of Mock Method Rainfall-runoff in Non-GWB and GWB (Modified)
Modified Mock Method calculation in GWB and Non-GWB can be seen on Table 1.
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 5 | Page
Table 1 Modified Mock Method Calculation in GWB and Non-GWB
Non-GWB GWB
Actual Evapotranspiration
∆E / Ep = ( m / 20 ) x ( 18 – n )
∆E = ( m / 20 ) x ( 18 – n ) x Ep
Eta = Ep – ∆E
Water Surplus
SMS = ISMS + (P – Eta)
WS = (P – Eta) + SS
Soilwater Storage
Infiltrasi (I) = WS x if
V (n) = k.V (n-1) + 0,5.(1 + k). I (n)
∆Vn = V (n) – V (n-1)
Interflow= I – ∆V (n)
Water Available
DRO = WS – I
WA = Interflow + DRO
Actual Evapotranspiration
∆E / Ep = ( m / 20 ) x ( 18 – n )
∆E = ( m / 20 ) x ( 18 – n ) x Ep
Eta = Ep – ∆E
Water Surplus
SMS = ISMS + (P – Eta)
WS = (P – Eta) + SS
Soilwater Storage
Infiltrasi (I) = WS x if
V (n) = k.V (n-1) + 0,5.(1 + k). I (n)
∆Vn = V (n) – V (n-1)
Interflow= I – ∆V (n)
Ground Water Storage
Perkolasi (P) = WS x if
V (n) = k.V (n-1) + 0,5.(1 + k). I (n)
∆Vn = V (n) – V (n-1)
Baseflow= P – ∆V (n)
Water Available
DRO = WS – P
WA = Interflow + Baseflow+ DRO
Where:
∆E = Potential and actual evapotranspiration difference
Ep = Potential evapotranspiration
Eta = Actual evapotranspiration
m = Percentage of uncoverd vegetation
ISMS = initial soil moisture storage (constitute of soil moisture capacity (SMC) previous
month)
P – Eta = Precipitation which experience evapotranspiration
There are two condition to determine SMC
1. SMC = 200 mm/month, if P – Eta ≥ 0
2. SMC = SMC previous month + (P – Eta), if P – Eta < 0
V (n) = Groundwater volume n month
V (n-1) = Groundwater volume (n-1) month
k = Groundwaterflow recesion factor (0,4 – 0,7)
WS = Water surplus SS = Soil Storage
I = Infiltration If = Infiltration Coefficient
P = Percolation DRO = Direct Run Off
WA = Water Available
Calibration Data
Calibration to Mock Parameter must be done so that the discharge calculation with this method may represent
the actual condition in the field (compare to the discharge from the hydrometric measurment which obtained
from the secondary data). By using Mock Method discharge runoff calculation, monthly discharge data from the
compilement of secondary data are used to calibrate.
IV RESULT AND DISCUSSION
Mock Method calculation simulation on GWB and Non-GWB in Ambon Island are shown in the figure below:
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 6 | Page
a. GWB
b. Non-GWB
Figure 7 Example of Method Mock Calculation in GWB and Non-GWB
Figure 8 Map Location of GWB and Non-GWB in Ambon Island
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 7 | Page
Table 2 Example of Water Availability calculation in GWB Ambon Island in 2011
Monthly Recession Constant
0,
7
0,
7
0,
7
0,
7
0,9
5
0,
95
0,
95
0,
75
0,
75
0,
7
0,
6
0,
7
N
o
Uraian
Sat
uan
Bulan
Ja
n
Fe
b
M
ar
A
pr
Me
i
Ju
n
Ju
l
A
gt
Se
p
O
kt
N
op
D
es
[1
]
Curah Hujan (P) mm
22
8
20
1
12
6
23
7
14
68
69
2
69
4
32
3
30
4
14
3
44
14
7
[2
]
Jumlah Hari Hujan (n) Hari 17 18 15 19 25 23 27 24 22 15 10 19
Actual Evapotranspiration
[3
]
Evapotranspiration (Eto) mm
15
0
13
7
15
4
13
5
12
3
96 97
11
7
12
6
16
3
15
9
14
9
[4
]
Exposed Surface (m) %
0
%
0
%
0
%
0
%
0
%
0
%
0
%
0
%
0
%
0
%
0
%
0
%
[5
]
(m/20) x (18-n)
0,
00
0,
00
0,
00
0,
00
0,0
0
0,
00
0,
00
0,
00
0,
00
0,
00
0,
00
0,
00
[6
]
ΔE= ((m/20)x(18-n)) x Eto [5] x [3] mm 0 0 0 0 0 0 0 0 0 0 0 0
[7
]
Eta = Eto –ΔE [3] - [6] mm
15
0
13
7
15
4
13
5
12
3
96 97
11
7
12
6
16
3
15
9
14
9
Water Balance
[8
]
P – Eta [1] - [7] mm 78 64
-
28
10
2
13
45
59
6
59
7
20
6
17
8
-
21
-
11
4
-2
[9
]
SMS = ISMS + (P -
Eta ), SMC =
150
,00
mm
22
8
21
4
12
2
25
2
14
95
74
6
74
7
35
6
32
8
12
9
36
14
8
[1
0]
Soil Storage (SS), if P -Eta >=0 , SS = 0 mm 0 0 28 0 0 0 0 0 0 21
11
4
2
[1
1]
Soil Moisture Capacity (SMC) mm
15
0
15
0
12
2
15
0
15
0
15
0
15
0
15
0
15
0
12
9
36
14
8
[1
2]
Water Surplus (WS) = (P-
Eta)+SS
[8] + [10] mm 78 64 0
10
2
13
45
59
6
59
7
20
6
17
8
0 0 0
Run Off and Soilwater Storage
Unsaturated Zone
[1
3]
Infiltration (i) = If x
WS
If = 0,20 mm 16 13 0 20
26
9
11
9
11
9
41 36 0 0 0
[1
4]
{0.5 x (1+k) x i} mm 13 11 0 17
26
2
11
6
11
6
36 31 0 0 0
[1
5]
k x (V n-1) mm 85 69 56 39 54
30
0
39
5
38
4
31
5
24
2
14
5
10
2
[1
6]
Soilwater Storage Volume [14] + [15] mm 98 80 56 56
31
6
41
6
51
2
42
0
34
6
24
2
14
5
10
2
[1
7]
ΔVn = Vn - Vn-1 mm
-
23
-
19
-
24
1
25
9
10
0
96
-
92
-
74
-
10
4
-
97
-
44
[1
8]
Interflow [13] - [17] mm 39 31 24 20 10 19 24
13
3
10
9
10
4
97 44
Groundwater Storage
Saturated Zone
[1
9]
Percolation (p) = If x
WS
If = 0,20 mm 16 13 0 20
26
9
11
9
11
9
41 36 0 0 0
[2
0]
{0.5 x (1+k) x i} mm 13 11 0 17
26
2
11
6
11
6
36 31 0 0 0
[2
1]
k x (V n-1) mm 85 69 56 39 54
30
0
39
5
38
4
31
5
24
2
14
5
10
2
[2
2]
Groundwater Storage
Volume
[14] + [15] mm 98 80 56 56
31
6
41
6
51
2
42
0
34
6
24
2
14
5
10
2
[2
3]
ΔVn = Vn - Vn-1 mm
-
23
-
19
-
24
1
25
9
10
0
96
-
92
-
74
-
10
4
-
97
-
44
[2
4]
Baseflow [19] - [23] mm 39 31 24 20 10 19 24
13
3
10
9
10
4
97 44
Water Available
[2
5]
Interflow [18] mm 39 31 24 20 10 19 24
13
3
10
9
10
4
97 44
[2
6]
Baseflow [24] mm 39 31 24 20 10 19 24
13
3
10
9
10
4
97 44
[2
7]
Direct Runoff [12] - [13] mm 63 51 0 82
10
76
47
7
47
7
16
5
14
2
0 0 0
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 8 | Page
Monthly Recession Constant
0,
7
0,
7
0,
7
0,
7
0,9
5
0,
95
0,
95
0,
75
0,
75
0,
7
0,
6
0,
7
N
o
Uraian
Sat
uan
Bulan
Ja
n
Fe
b
M
ar
A
pr
Me
i
Ju
n
Ju
l
A
gt
Se
p
O
kt
N
op
D
es
[2
8]
Water Available
[25] + [26]
+ [27]
mm
14
0
11
4
48
12
2
10
95
51
4
52
5
43
1
36
1
20
8
19
4
87
Table 3 Example of Water Availability calculation in Non-GWB Ambon Island in 2011
Monthly Recession Constant
0,
7
0,
7
0,
7
0,
7
0,9
5
0,
95
0,
95
0,
75
0,
75
0,
7
0,
6
0,
7
N
o
Uraian
Satu
an
Bulan
Ja
n
Fe
b
M
ar
A
pr
Me
i
Ju
n
Ju
l
A
gt
Se
p
Ok
t
No
p
De
s
[1
]
Curah Hujan (P) mm
22
8
20
1
12
6
23
7
14
68
69
2
69
4
32
3
30
4
14
3
44
14
7
[2
]
Jumlah Hari Hujan (n) Hari 17 18 15 19 25 23 27 24 22 15 10 19
Actual Evapotranspiration
[3
]
Evapotranspiration (Eto) mm
15
0
13
7
15
4
13
5
12
3
96 97
11
7
12
6
16
3
15
9
14
9
[4
]
Exposed Surface (m) %
0
%
0
%
0
%
0
%
0%
0
%
0
%
0
%
0
%
0
%
0
%
0
%
[5
]
(m/20) x (18-n)
0,
00
0,
00
0,
00
0,
00
0,0
0
0,
00
0,
00
0,
00
0,
00
0,
00
0,
00
0,
00
[6
]
ΔE= ((m/20)x(18-n)) x Eto
[5] x
[3]
mm 0 0 0 0 0 0 0 0 0 0 0 0
[7
]
Eta = Eto –ΔE
[3] -
[6]
mm
15
0
13
7
15
4
13
5
12
3
96 97
11
7
12
6
16
3
15
9
14
9
Water Balance
[8
]
P – Eta
[1] -
[7]
mm 78 64
-
28
10
2
13
45
59
6
59
7
20
6
17
8
-
21
-
11
4
-2
[9
]
SMS = ISMS + (P -
Eta ), SMC =
150,
00
mm
22
8
21
4
12
2
25
2
14
95
74
6
74
7
35
6
32
8
12
9
36
14
8
[1
0]
Soil Storage (SS), if P -Eta >=0 , SS =
0
mm 0 0 28 0 0 0 0 0 0 21
11
4
2
[1
1]
Soil Moisture
Capacity (SMC)
mm
15
0
15
0
12
2
15
0
15
0
15
0
15
0
15
0
15
0
12
9
36
14
8
[1
2]
Water Surplus (WS) = (P-
Eta)+SS
[8] +
[10]
mm 78 64 0
10
2
13
45
59
6
59
7
20
6
17
8
0 0 0
Run Off and Soilwater Storage
[1
3]
Infiltration (i) = If x
WS
If = 0,20 mm 16 13 0 20
26
9
11
9
11
9
41 36 0 0 0
[1
4]
{0.5 x (1+k) x i} mm 13 11 0 17
26
2
11
6
11
6
36 31 0 0 0
[1
5]
k x (V n-1) mm 85 69 56 39 54
30
0
39
5
38
4
31
5
24
2
14
5
10
2
[1
6]
Soilwater Storage Volume
[14] +
[15]
mm 98 80 56 56
31
6
41
6
51
2
42
0
34
6
24
2
14
5
10
2
[1
7]
ΔVn = Vn - Vn-1 mm
-
23
-
19
-
24
1
25
9
10
0
96
-
92
-
74
-
10
4
-
97
-
44
[1
8]
Interflow
[13] -
[17]
mm 39 31 24 20 10 19 24
13
3
10
9
10
4
97 44
Water Available
[1
9]
Interflow [18] mm 39 31 24 20 10 19 24
13
3
10
9
10
4
97 44
[2
0]
Direct Runoff
[12] -
[13]
mm 63 51 0 82
10
76
47
7
47
7
16
5
14
2
0 0 0
[2
1]
Water Available
[19] +
[20]
mm
10
1
82 24
10
2
10
85
49
6
50
1
29
8
25
2
10
4
97 44
Note: The result of the Calculation (WA) on table above are using millimeter (mm) units, therefore if WA are
multiplied with the area of catchment in km2
with a certain conversion rate, discharge unit of m3
/sec are
obtained.
On Pada Error! Reference source not found. dan Error! Reference source not found. diperlihatkan hasil
perbandingan ketersediaan air di daerah CAT dan Non-CAT di Pulau Ambon.
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
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Table 4 Water Availability comparison in GWB and Non-GWB
Commentary
Month
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Des
Water Availability
(mm)
GWB
4 3 2 53 159 137 158 69 46 34 21 11
Non-GWB
3 1 1 37 150 119 117 35 27 17 10 5
Figure 9 Comparison Graphic of Water Availability in GWB and Non-GWB in Ambon Island
From Figure 8, two Watershed in GWB and Non-GWB are chosen which is Pia Besar Watershed
which consist of GWB and Yari Watershed which consist of GWB and Non-GWB. Other than that, these rivers
has the same watershed width. Comparison of calculation with Modified Mock Method and Primary Discharge
measurement for Pia Besar River and Way Yari River. Primary and Secondary data are shown below:
 Primary Data: Dischare measurement in 2011 and 2012, 4 times of measurement each year. Detail of
measurement are shown below.
Table 5 Discharge measurement of two rivers in Ambon Island
No.
Date of
Measurement
Discharge (m3/det)
Pia Besar
Watershed
Way Yari
Watershed
1 January 12, 2011 1,55 1,2
2 February 2, 2011 0,45 0,35
3 June 19, 2011 4 3,3
4 July 4, 2011 11 9,6
5 January 1, 2012 1 0,8
6 February 14, 2012 0,1 0,05
7 June 16, 2012 7 7
8 July 1, 2012 3,5 3,4
 Secondary Data: Climatology data taken from Pattimura Station for daily data according to the primary
measurement. Pia Besar Watershed Area = 16 km2
(All are GWB), Way Yari Watershed are = 16,23 km2
(100%) with 9,35 km2
(58%) are GWB and 6,88 km2
(42%) are Non-GWB.
 The result of comparing Modified Mock calculation with direct measurement in the field are shown in the
figure below. Notes for the exact previous comparison has been modified with equated area scale.
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 10 | Page
a. Comparison of discharge calculation of water availability using Modified Mock Method and the resul of
direct measurement of Discharge for Pia Besar Watershed
b.Comparison of discharge calculation of water availability using Modified Mock Method and the resul of
direct measurement of Discharge for Way Yari Watershed (58 % GWB, 42 Non-GWB)
1,55
0,45
4,00
11,00
1,00
0,10
7,00
3,50
1,20
0,35
3,30
9,60
0,80
0,05
7,00
3,40
-1,00
1,00
3,00
5,00
7,00
9,00
11,00
0 1 2 3 4 5 6 7 8
DebitQ(m3/det)
Jumlah pengkuran primer
Pia Besar 16,02 km2 (100% CAT)
Way Yari (16,23 km2; 58% CAT dan 42% Non CAT)
Pia Besar (Hasil Survey Primer)
Way Yari (Hasil Survey Primer)
c. Merged comparison between calculation result with modified mock and direct measurement of the two rivers.
Figure 10 Comparison of Modifed Mock calculation result and direct measurement for the two rivers.
V CONCLUSION
1.Water Availability calculation with Mock Method for GWB and Non-GWB are different.
2.For Non-GWB, water flows as soil water flow in soil zone or known as interflow, therefore Mock may be
used directly.
3.For GWB, additional groundwater flow which becomes base flows from other watershed, therefore flow chart
and calculation of Mock Method needs to be modified
4.From the result of water availability analysis in GWB are always bigger than water availability in Non-GWB.
5.In Non-GWB, existing rivers are intermittent rivers, therefore on dry season river discharge measurement
cannot be applied, calibration from the result of Mock Model Modification are only applied on rain season.
Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non…
www.ijres.org 11 | Page
REFERENCES
[1]. Badan Perencanaan Pembangunan Nasional, 2006. Identification of Java Island Water Resources
Management Problem. Water Resources Management on Resolving Drought and Flood Initiative
Strategies. Book 2, Final Report.
[2]. Hehanussa and Bhakti, 2005. Small Islands Water Resources. Obor Indonesia Foundation Publisher.
[3]. KePres No.26 Year 2011 about Groundwater Basin.
[4]. Kodoatie, Robert J., 2012. Groundwater Spatial. Andi Publisher. Yogyakarta.
[5]. Mock, F. J., 1973. Land Capability Appraisal, Indonesia. Water Availability Appraisal - Basic Study 1
(English). FAO, Rome (Italy). Land and Water Development Div., 1973 , 81 p.

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International Refereed Journal of Engineering and Science (IRJES)

  • 1. International Refereed Journal of Engineering and Science (IRJES) ISSN (Online) 2319-183X, (Print) 2319-1821 Volume 2, Issue 8 (August 2013), PP.01-11 www.ijres.org 1 | Page Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non-Groundwater Basin (Non-Gwb) Using Modified Mock Calculation Method Happy Mulya1 , Prof. Ir. Jutata Hadihardadja2 , DR. Ir. Robert Kodoatie3 , Msc Doctoral Student Department of Civil Engineering of Diponegoro University, Semarang, Indonesia. Abstact:- one aspect that needs to be known before analysing water balance for a certain region is the amount of water availability. One way of doing it is to calculate the water availability by using mock method, which are developed by Dr. F. J. Mock (1973). Principally, Mock Method refer to water balance, where the amount of volume of water in earth are constant, only in circulation and distribution varies. Mainlands in Indonesia consist of GWB and Non-GWB area (KepPres 26 Year 2011). Both areas have different characteristic on producing water availability. In Non-GWB ground, water flows only on soil water zone layer, while in GWB area, water are capable to flow until the groundwater zone layer (kodoatie, 2012). For GWB area, Mock Methods calculation needs to be modified, because there is an addition of groundwater from GWB in the form of base flow from other watershed. Analysis result from Modified Mock Method calculation produce water availability in GWB area are greater than in Non-GWB. Keywords:- Small Islands – GWB Area – Non-GWB Area – Mock Method Calculation (Modified) – Water Availability. I PRELIMINARY One aspect that needs to be known before analysing water balance for a certain regoin is the amount of water availability. Water availability in the meaning of water resoures, principally comes from precipitation, surface water and groundwater. Precipitation falling to the surface of a watershed or river basin partially will vaporize back according to the climate processes, partially will flow via surface and sub surface into a drainage, river or lake and partially will infiltrate to the ground as a recharge to the existing groundwater contents (Bappenas, 2006) Water availability which is part of the natural phenomena, are hard to control and predict. This is because water availability consist of high spatial and temporal variability elements. Therefore, quantitative and qualitative analysis must be done as carefully, so that accurate information can be obtained for planning and maintaining water resourcess (Bappenas, 2006). Ambon Island is a small island with an area of 761 km² ≤ 2.000 km² (Hehanussa and Bhakti, 2005). Its mainland consist of GWB and Non-GWB area, are taken as a study case for analysing water availability with modified Mock Modeling calculation. II MOCK METHOD WATER AVAILABILITY F. J. Mock (1973) propose a simulation model for monthly water balance for drainage area in Indonesia, this method is called Mock Discharge Simulation. This model is specifically are used for rivers in Indonesia (Bappenas, 2006). Principally, Mock Method refers to water balance, where the amount of volume of water in earth is constant, only in circulation and distribution varies. Mock Method consider inflows, outflows and groundwater storage. Inflows are precipitaion, outflows are infiltration, percolation and those dominants caused by evapotranspiration. Mock Model is a simple simulation model. In its development, this model is used in the application of water resources development such as irrigation and raw water supply. Mock Method is used to calculate the amount of discharge from a watershed. Flow Chart of Mock Method rainfall-runoff is shown in the figure below.
  • 2. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 2 | Page Figure 1 Flow chart of Mock Method Rainfall-Runoff (Bappenas, 2006) Calculation process performed in Mock Method is generally described in figure below. Potential Evaportanspiration Calculation (Penman Method) Actual Evapotranspiration Calculation Water Surplus Calculation Base Flow, Direct RunOff and Storm Runoff Calculation Figure 2 Flow Chart of Mock Method Discharge Calculation (Bappenas, 2006) Water Balance On hydrology cycle, description regarding the relationship of inflow and outflow in an area for a certain period is called water balance. This relationship, clearly will be shown on figure below. General equation of water balance is P = Ea + ∆GS + TRO (1) where: P = precipitation. Ea = actual evapotranspiration ∆GS = groundwater storage changes TRO = total runoff. Water balance is a closed cycle which occur for a certain period of annual observations, where no changes in groundwater storage or ∆GS=0. Which means, groundwater storage determination is based on the previous month within the annual period of review, therefore the water balance equation is: P = Ea + TRO (2) Transportation of precipitation forms into discharge will be shown on figure below. Figure 3 Transportation of precipitation forms into discharge (Bappenas, 2006) Where: P = Precipitation Ea = Actual evapotranspiration
  • 3. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 3 | Page GS = groundwater storage SRO = surface run-off DRO = direct run-off TRO = Total run-off BF = base flow III WATER AVAILABILITY IN GWB AND NON-GWB In land: in land surface, gravitationally, water flows from high places (mountains, high lands) to the low places (low lands, coastal areas) and disembogue to the water storage (ocean, lake), water infiltrates and flow gravitationally inside the ground from a high to low elevation. This water, furthermore, will flow to vadoze zone (soil zone) as soil water flow and to the phreatic zone (groundwater zone or saturated zone) as groundwater flow (Kodoatie, 2012). In GWB, water flows inside the ground, wether in soil water zone or groundwater zone. In groundwater zone, water flows wether in unconfined aquifer or confined aquifer. In Discharge area from unconfined aquifer, which is where water comes out in one groundwater system formation in some condition may become one with soil zone. In other words, in a certain topographical condition, soil water becomes one with groundwater (Kodoatie, 2012). This groundwater zone is called Groundwater Basin (GWB). Water also flows in the Non-GWB wether inside the ground or in the surface. Inside th ground of Non-GWB, water flows only in soil water zone, because groundwater zone does not exist. In the surface, GWB or Non-GWB, water flows as a runoff in the watershed or the river system (Kodoatie, 2012) Figure 4 Simple illustration of water transportation process (Hydrology cycle) (Kodoatie, 2012) Note: ap = surface runoff (total), at = groundwater (total) a = soil zone, b = unconfined aquifer, c = confined aquifer 1 = interflow, 2 = groundwater (baseflow) in unconfined aquifer, 3 = groundwater flow in confined aquifer Generally, water availability phenomenon is divided into two types, which is water on vadose zone and water on phreatic zone. In vadoze zone, water is divided into three types: soil water, intermediate vadoze zone and capillary water. In phreatic zone or saturated zone, groundwater exist. The division of these zone will be shown on figure below, which shows a cross section of the earth’s water availability wether groundwater or soil water (Kodoatie, 2012) Figure 5 Cross section of the earth’s water availability in GWB and Non-GWB (Kodoatie, 2012)
  • 4. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 4 | Page In GWB, throughflow and interflow occur. While in Non-GWB only throughflow occur, because after soil water zone is an impermeable layer. Mock Method rainfall-runoff flow chart model are shown in Figure 1, where water flow follows hydrological cycle, generally from precipitation, partially store in the surface becomes surface runoff, partially infiltrate groundwater storage becomes groundwater runoff and furthermore addition of surface runoff becomes total runoff. But based on hydrology cycle on Non-GWB describe flows from precipitation are partially stored in the surface, partially infiltrate the root zone / vadoze zone / unsaturated zone and becomes soil water. With the existance of impermeable rock under root zone, therefore water flows changes into interflow. For GWB calculation of Mock Method needs to be modified, because there is an addition of GWB in the form of base flow from other watershed (Figure 6a and Figure 6b) a. Modified Mock Method in Non-GWB b. Modified Mock Method in GWB Figure 6 Flow chart of Mock Method Rainfall-runoff in Non-GWB and GWB (Modified) Modified Mock Method calculation in GWB and Non-GWB can be seen on Table 1.
  • 5. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 5 | Page Table 1 Modified Mock Method Calculation in GWB and Non-GWB Non-GWB GWB Actual Evapotranspiration ∆E / Ep = ( m / 20 ) x ( 18 – n ) ∆E = ( m / 20 ) x ( 18 – n ) x Ep Eta = Ep – ∆E Water Surplus SMS = ISMS + (P – Eta) WS = (P – Eta) + SS Soilwater Storage Infiltrasi (I) = WS x if V (n) = k.V (n-1) + 0,5.(1 + k). I (n) ∆Vn = V (n) – V (n-1) Interflow= I – ∆V (n) Water Available DRO = WS – I WA = Interflow + DRO Actual Evapotranspiration ∆E / Ep = ( m / 20 ) x ( 18 – n ) ∆E = ( m / 20 ) x ( 18 – n ) x Ep Eta = Ep – ∆E Water Surplus SMS = ISMS + (P – Eta) WS = (P – Eta) + SS Soilwater Storage Infiltrasi (I) = WS x if V (n) = k.V (n-1) + 0,5.(1 + k). I (n) ∆Vn = V (n) – V (n-1) Interflow= I – ∆V (n) Ground Water Storage Perkolasi (P) = WS x if V (n) = k.V (n-1) + 0,5.(1 + k). I (n) ∆Vn = V (n) – V (n-1) Baseflow= P – ∆V (n) Water Available DRO = WS – P WA = Interflow + Baseflow+ DRO Where: ∆E = Potential and actual evapotranspiration difference Ep = Potential evapotranspiration Eta = Actual evapotranspiration m = Percentage of uncoverd vegetation ISMS = initial soil moisture storage (constitute of soil moisture capacity (SMC) previous month) P – Eta = Precipitation which experience evapotranspiration There are two condition to determine SMC 1. SMC = 200 mm/month, if P – Eta ≥ 0 2. SMC = SMC previous month + (P – Eta), if P – Eta < 0 V (n) = Groundwater volume n month V (n-1) = Groundwater volume (n-1) month k = Groundwaterflow recesion factor (0,4 – 0,7) WS = Water surplus SS = Soil Storage I = Infiltration If = Infiltration Coefficient P = Percolation DRO = Direct Run Off WA = Water Available Calibration Data Calibration to Mock Parameter must be done so that the discharge calculation with this method may represent the actual condition in the field (compare to the discharge from the hydrometric measurment which obtained from the secondary data). By using Mock Method discharge runoff calculation, monthly discharge data from the compilement of secondary data are used to calibrate. IV RESULT AND DISCUSSION Mock Method calculation simulation on GWB and Non-GWB in Ambon Island are shown in the figure below:
  • 6. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 6 | Page a. GWB b. Non-GWB Figure 7 Example of Method Mock Calculation in GWB and Non-GWB Figure 8 Map Location of GWB and Non-GWB in Ambon Island
  • 7. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 7 | Page Table 2 Example of Water Availability calculation in GWB Ambon Island in 2011 Monthly Recession Constant 0, 7 0, 7 0, 7 0, 7 0,9 5 0, 95 0, 95 0, 75 0, 75 0, 7 0, 6 0, 7 N o Uraian Sat uan Bulan Ja n Fe b M ar A pr Me i Ju n Ju l A gt Se p O kt N op D es [1 ] Curah Hujan (P) mm 22 8 20 1 12 6 23 7 14 68 69 2 69 4 32 3 30 4 14 3 44 14 7 [2 ] Jumlah Hari Hujan (n) Hari 17 18 15 19 25 23 27 24 22 15 10 19 Actual Evapotranspiration [3 ] Evapotranspiration (Eto) mm 15 0 13 7 15 4 13 5 12 3 96 97 11 7 12 6 16 3 15 9 14 9 [4 ] Exposed Surface (m) % 0 % 0 % 0 % 0 % 0 % 0 % 0 % 0 % 0 % 0 % 0 % 0 % [5 ] (m/20) x (18-n) 0, 00 0, 00 0, 00 0, 00 0,0 0 0, 00 0, 00 0, 00 0, 00 0, 00 0, 00 0, 00 [6 ] ΔE= ((m/20)x(18-n)) x Eto [5] x [3] mm 0 0 0 0 0 0 0 0 0 0 0 0 [7 ] Eta = Eto –ΔE [3] - [6] mm 15 0 13 7 15 4 13 5 12 3 96 97 11 7 12 6 16 3 15 9 14 9 Water Balance [8 ] P – Eta [1] - [7] mm 78 64 - 28 10 2 13 45 59 6 59 7 20 6 17 8 - 21 - 11 4 -2 [9 ] SMS = ISMS + (P - Eta ), SMC = 150 ,00 mm 22 8 21 4 12 2 25 2 14 95 74 6 74 7 35 6 32 8 12 9 36 14 8 [1 0] Soil Storage (SS), if P -Eta >=0 , SS = 0 mm 0 0 28 0 0 0 0 0 0 21 11 4 2 [1 1] Soil Moisture Capacity (SMC) mm 15 0 15 0 12 2 15 0 15 0 15 0 15 0 15 0 15 0 12 9 36 14 8 [1 2] Water Surplus (WS) = (P- Eta)+SS [8] + [10] mm 78 64 0 10 2 13 45 59 6 59 7 20 6 17 8 0 0 0 Run Off and Soilwater Storage Unsaturated Zone [1 3] Infiltration (i) = If x WS If = 0,20 mm 16 13 0 20 26 9 11 9 11 9 41 36 0 0 0 [1 4] {0.5 x (1+k) x i} mm 13 11 0 17 26 2 11 6 11 6 36 31 0 0 0 [1 5] k x (V n-1) mm 85 69 56 39 54 30 0 39 5 38 4 31 5 24 2 14 5 10 2 [1 6] Soilwater Storage Volume [14] + [15] mm 98 80 56 56 31 6 41 6 51 2 42 0 34 6 24 2 14 5 10 2 [1 7] ΔVn = Vn - Vn-1 mm - 23 - 19 - 24 1 25 9 10 0 96 - 92 - 74 - 10 4 - 97 - 44 [1 8] Interflow [13] - [17] mm 39 31 24 20 10 19 24 13 3 10 9 10 4 97 44 Groundwater Storage Saturated Zone [1 9] Percolation (p) = If x WS If = 0,20 mm 16 13 0 20 26 9 11 9 11 9 41 36 0 0 0 [2 0] {0.5 x (1+k) x i} mm 13 11 0 17 26 2 11 6 11 6 36 31 0 0 0 [2 1] k x (V n-1) mm 85 69 56 39 54 30 0 39 5 38 4 31 5 24 2 14 5 10 2 [2 2] Groundwater Storage Volume [14] + [15] mm 98 80 56 56 31 6 41 6 51 2 42 0 34 6 24 2 14 5 10 2 [2 3] ΔVn = Vn - Vn-1 mm - 23 - 19 - 24 1 25 9 10 0 96 - 92 - 74 - 10 4 - 97 - 44 [2 4] Baseflow [19] - [23] mm 39 31 24 20 10 19 24 13 3 10 9 10 4 97 44 Water Available [2 5] Interflow [18] mm 39 31 24 20 10 19 24 13 3 10 9 10 4 97 44 [2 6] Baseflow [24] mm 39 31 24 20 10 19 24 13 3 10 9 10 4 97 44 [2 7] Direct Runoff [12] - [13] mm 63 51 0 82 10 76 47 7 47 7 16 5 14 2 0 0 0
  • 8. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 8 | Page Monthly Recession Constant 0, 7 0, 7 0, 7 0, 7 0,9 5 0, 95 0, 95 0, 75 0, 75 0, 7 0, 6 0, 7 N o Uraian Sat uan Bulan Ja n Fe b M ar A pr Me i Ju n Ju l A gt Se p O kt N op D es [2 8] Water Available [25] + [26] + [27] mm 14 0 11 4 48 12 2 10 95 51 4 52 5 43 1 36 1 20 8 19 4 87 Table 3 Example of Water Availability calculation in Non-GWB Ambon Island in 2011 Monthly Recession Constant 0, 7 0, 7 0, 7 0, 7 0,9 5 0, 95 0, 95 0, 75 0, 75 0, 7 0, 6 0, 7 N o Uraian Satu an Bulan Ja n Fe b M ar A pr Me i Ju n Ju l A gt Se p Ok t No p De s [1 ] Curah Hujan (P) mm 22 8 20 1 12 6 23 7 14 68 69 2 69 4 32 3 30 4 14 3 44 14 7 [2 ] Jumlah Hari Hujan (n) Hari 17 18 15 19 25 23 27 24 22 15 10 19 Actual Evapotranspiration [3 ] Evapotranspiration (Eto) mm 15 0 13 7 15 4 13 5 12 3 96 97 11 7 12 6 16 3 15 9 14 9 [4 ] Exposed Surface (m) % 0 % 0 % 0 % 0 % 0% 0 % 0 % 0 % 0 % 0 % 0 % 0 % [5 ] (m/20) x (18-n) 0, 00 0, 00 0, 00 0, 00 0,0 0 0, 00 0, 00 0, 00 0, 00 0, 00 0, 00 0, 00 [6 ] ΔE= ((m/20)x(18-n)) x Eto [5] x [3] mm 0 0 0 0 0 0 0 0 0 0 0 0 [7 ] Eta = Eto –ΔE [3] - [6] mm 15 0 13 7 15 4 13 5 12 3 96 97 11 7 12 6 16 3 15 9 14 9 Water Balance [8 ] P – Eta [1] - [7] mm 78 64 - 28 10 2 13 45 59 6 59 7 20 6 17 8 - 21 - 11 4 -2 [9 ] SMS = ISMS + (P - Eta ), SMC = 150, 00 mm 22 8 21 4 12 2 25 2 14 95 74 6 74 7 35 6 32 8 12 9 36 14 8 [1 0] Soil Storage (SS), if P -Eta >=0 , SS = 0 mm 0 0 28 0 0 0 0 0 0 21 11 4 2 [1 1] Soil Moisture Capacity (SMC) mm 15 0 15 0 12 2 15 0 15 0 15 0 15 0 15 0 15 0 12 9 36 14 8 [1 2] Water Surplus (WS) = (P- Eta)+SS [8] + [10] mm 78 64 0 10 2 13 45 59 6 59 7 20 6 17 8 0 0 0 Run Off and Soilwater Storage [1 3] Infiltration (i) = If x WS If = 0,20 mm 16 13 0 20 26 9 11 9 11 9 41 36 0 0 0 [1 4] {0.5 x (1+k) x i} mm 13 11 0 17 26 2 11 6 11 6 36 31 0 0 0 [1 5] k x (V n-1) mm 85 69 56 39 54 30 0 39 5 38 4 31 5 24 2 14 5 10 2 [1 6] Soilwater Storage Volume [14] + [15] mm 98 80 56 56 31 6 41 6 51 2 42 0 34 6 24 2 14 5 10 2 [1 7] ΔVn = Vn - Vn-1 mm - 23 - 19 - 24 1 25 9 10 0 96 - 92 - 74 - 10 4 - 97 - 44 [1 8] Interflow [13] - [17] mm 39 31 24 20 10 19 24 13 3 10 9 10 4 97 44 Water Available [1 9] Interflow [18] mm 39 31 24 20 10 19 24 13 3 10 9 10 4 97 44 [2 0] Direct Runoff [12] - [13] mm 63 51 0 82 10 76 47 7 47 7 16 5 14 2 0 0 0 [2 1] Water Available [19] + [20] mm 10 1 82 24 10 2 10 85 49 6 50 1 29 8 25 2 10 4 97 44 Note: The result of the Calculation (WA) on table above are using millimeter (mm) units, therefore if WA are multiplied with the area of catchment in km2 with a certain conversion rate, discharge unit of m3 /sec are obtained. On Pada Error! Reference source not found. dan Error! Reference source not found. diperlihatkan hasil perbandingan ketersediaan air di daerah CAT dan Non-CAT di Pulau Ambon.
  • 9. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 9 | Page Table 4 Water Availability comparison in GWB and Non-GWB Commentary Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Des Water Availability (mm) GWB 4 3 2 53 159 137 158 69 46 34 21 11 Non-GWB 3 1 1 37 150 119 117 35 27 17 10 5 Figure 9 Comparison Graphic of Water Availability in GWB and Non-GWB in Ambon Island From Figure 8, two Watershed in GWB and Non-GWB are chosen which is Pia Besar Watershed which consist of GWB and Yari Watershed which consist of GWB and Non-GWB. Other than that, these rivers has the same watershed width. Comparison of calculation with Modified Mock Method and Primary Discharge measurement for Pia Besar River and Way Yari River. Primary and Secondary data are shown below:  Primary Data: Dischare measurement in 2011 and 2012, 4 times of measurement each year. Detail of measurement are shown below. Table 5 Discharge measurement of two rivers in Ambon Island No. Date of Measurement Discharge (m3/det) Pia Besar Watershed Way Yari Watershed 1 January 12, 2011 1,55 1,2 2 February 2, 2011 0,45 0,35 3 June 19, 2011 4 3,3 4 July 4, 2011 11 9,6 5 January 1, 2012 1 0,8 6 February 14, 2012 0,1 0,05 7 June 16, 2012 7 7 8 July 1, 2012 3,5 3,4  Secondary Data: Climatology data taken from Pattimura Station for daily data according to the primary measurement. Pia Besar Watershed Area = 16 km2 (All are GWB), Way Yari Watershed are = 16,23 km2 (100%) with 9,35 km2 (58%) are GWB and 6,88 km2 (42%) are Non-GWB.  The result of comparing Modified Mock calculation with direct measurement in the field are shown in the figure below. Notes for the exact previous comparison has been modified with equated area scale.
  • 10. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 10 | Page a. Comparison of discharge calculation of water availability using Modified Mock Method and the resul of direct measurement of Discharge for Pia Besar Watershed b.Comparison of discharge calculation of water availability using Modified Mock Method and the resul of direct measurement of Discharge for Way Yari Watershed (58 % GWB, 42 Non-GWB) 1,55 0,45 4,00 11,00 1,00 0,10 7,00 3,50 1,20 0,35 3,30 9,60 0,80 0,05 7,00 3,40 -1,00 1,00 3,00 5,00 7,00 9,00 11,00 0 1 2 3 4 5 6 7 8 DebitQ(m3/det) Jumlah pengkuran primer Pia Besar 16,02 km2 (100% CAT) Way Yari (16,23 km2; 58% CAT dan 42% Non CAT) Pia Besar (Hasil Survey Primer) Way Yari (Hasil Survey Primer) c. Merged comparison between calculation result with modified mock and direct measurement of the two rivers. Figure 10 Comparison of Modifed Mock calculation result and direct measurement for the two rivers. V CONCLUSION 1.Water Availability calculation with Mock Method for GWB and Non-GWB are different. 2.For Non-GWB, water flows as soil water flow in soil zone or known as interflow, therefore Mock may be used directly. 3.For GWB, additional groundwater flow which becomes base flows from other watershed, therefore flow chart and calculation of Mock Method needs to be modified 4.From the result of water availability analysis in GWB are always bigger than water availability in Non-GWB. 5.In Non-GWB, existing rivers are intermittent rivers, therefore on dry season river discharge measurement cannot be applied, calibration from the result of Mock Model Modification are only applied on rain season.
  • 11. Small Islands Water Availability Analysis In Groundwater Basin (Gwb) And Non… www.ijres.org 11 | Page REFERENCES [1]. Badan Perencanaan Pembangunan Nasional, 2006. Identification of Java Island Water Resources Management Problem. Water Resources Management on Resolving Drought and Flood Initiative Strategies. Book 2, Final Report. [2]. Hehanussa and Bhakti, 2005. Small Islands Water Resources. Obor Indonesia Foundation Publisher. [3]. KePres No.26 Year 2011 about Groundwater Basin. [4]. Kodoatie, Robert J., 2012. Groundwater Spatial. Andi Publisher. Yogyakarta. [5]. Mock, F. J., 1973. Land Capability Appraisal, Indonesia. Water Availability Appraisal - Basic Study 1 (English). FAO, Rome (Italy). Land and Water Development Div., 1973 , 81 p.