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ACCOUNTING FOR THE DEPRECIATION OF SOIL RESOURCES IN THE UPLANDS

The soil erosion problem in the Philippines is quite pronounced with more than half of the country's land area having a slope exceeding eight percent (hereby defined as the Philippine uplands). The problem is aggravated by heavy rainfall, improper land use and management, excessive and improper logging, shifting cultivation and road construction (PCARRD, 1992).

Eroded areas are estimated to cover more than half of the land area in the following 13 provinces: Batangas; Cebu; Ilocos Sur; La Unión; Batanes; Bohol; Masbate; Abra; Ilo-ilo; Cavite; Rizal; Capiz; and Marinduque (PCARRD, 1984).

Agricultural activities occur largely at the expense of natural vegetation and are responsible for much of soil loss taking place everywhere, particularly in areas that are vulnerable to soil erosion. Under natural conditions, the topsoil that is lost is largely replenished from the subsoil (Anderson and Thampapillai, 1990). The topsoil is defined as a renewable resource with a threshold level below which resource use renders it non-renewable. Yield losses from soil erosion can come not only from soil nutrient losses but also from the reduction in the soil’s water holding capacity, infiltration rates and loss of other beneficial topsoil characteristics. The loss in crop productivity caused by reduced water holding capacity or rooting depth may be permanent while losses from nutrient loss can be offset by increased use of fertilizers. Because of the above considerations, the valuing soil depreciation in terms of the fertilizer equivalent of the nutrients contained in the eroded materials has been largely criticized as an inadequate measure. Due to the absence of basic data, however, this approach has been used extensively in the country as an indicator of the on-site costs of soil erosion.

The study by Cruz et al (1988) reported that in the Magat watershed, where sheet erosion was in the order of 88 tonnes/ha/yr, the fertilizer equivalent of nutrients loss through soil erosion was PHP 15/ton or PHP 1, 320 /ha/yr. For the Pantabangan watershed, the on site cost of soil erosion (using 1977 prices) was about PHP 7/ton from the topsoil layers to about PHP 4/ton for the lower soil layers. The study also estimated the off site cost of soil erosion. For Magat, the loss was estimated at PHP 18/ton of sediment while it was PHP 30/ton for Pantabangan watershed.

Alternatively, the use of a damage function relating yield to soil loss as the basis of a depreciation estimate is more popular. Colacicco, et al (1989) cited the study made by Pierce Crosson (1983) that found out through a yield soil loss regression analysis that yield of corn and soybeans can be reduced by 1.5 percent and 2.0 percent respectively over a 30 year period of 1950 to 1980. These values may not be substantial but the author cautioned that they could not be ignored for the following reasons: yield losses are substantial in some regions, and therefore, there could be large variability in production that then translates to wide fluctuations in farm income, export supplies and domestic food supplies. In addition, there is the risk posed by the irreversibility and cumulative nature of soil productivity losses. Crosson estimated the 1983 cost of erosion in the United States at USD 420 million for crop production losses, USD 105 to168 million for fertilizer losses and USD 1.2 billion for erosion control.

Studies on soil yield loss relationships are more advanced in the United States with the development of the Erosion Productivity Impact Calculator (EPIC) model. This model has been used in one study area in the country and the results of that study will be discussed in a later section. Obtaining the estimates for more sites is largely constrained by limited data availability.


Conceptual framework: the change in asset value approach

A given piece of land devoted to any agricultural use (commonly referred to as a farm) is assumed to possess inherent characteristics (i.e. natural inputs) necessary for crop production. These inputs normally consist of: soil nutrients (accessed largely from the top layer or A horizon); favourable soil texture; favourable Ph values; and other characteristics conducive to plant growth. When mixed with man-made inputs consisting of materials (e.g. chemicals, high yielding varieties of seeds, machinery and irrigation) and labour, natural resource commodities (e.g. crops, fruits, etc.) are produced. When the value of all man-made inputs are deducted from the value of total output, including a reasonable amount of returns for investment and management, the resulting figure comprises what is now considered as payment for the use of the natural input. This value is called the “economic rent” or, more literally in the case of soil resources, land rent. Variation in the amount of land rent over space is perceived to be the result of the inherent differences in soil fertility status (which is the Ricardian concept of rent). Rent is high for the more fertile soil, which could be found in less steep areas, and is expected to be lower for the less fertile soil.

The economic rent is expected to vary every year with changes in the level of outputs and/or inputs used, their prices and the discount rate. Since the resource unit is expected to contribute to the production of one or more resource commodities over a period of time, the value of the natural resource asset (termed as asset value) for any one land use, say agriculture, will be equal to the present value of the stream of land rent over the economic life of the resource or over the relevant planning period.

Land rent is obtained by estimating the annual net returns from the use of the resource over time, less a reasonable allowance for profit. In equation form, the net present value (NPV) of the asset (herein referred to as the asset value) is represented by:

Three sets of assumptions are critical in this estimation procedure. One relates to prices, costs and yield data as a function of time. If one assumes constant prices, then the observed changes in the value of the land rent can only be attributed to changes in the yield or productivity of the resource and in the time-value of money.

The second assumption has something to do with the expected value of the resource at the end of the planning horizon. This corresponds to a salvage value (in the case of equipment). With land, however, the term pertains to how much one could probably sell the land for at year T for non-agricultural purposes. This cannot be zero, but it is generally difficult to estimate. Hence, it will be assumed that this value is a constant amount, Kt, which is perceived not to influence the yearly changes in the value of the asset while it is still being used for agricultural purposes. For this reason, one may conveniently remove Kt from the general formulation presented above.

The third assumption refers to the choice of the discount rate to be used in weighing present consumption value versus that of future consumption. In general, a lower discount rate favours future consumption, while a high discount rate gives more preference to present consumption. Two rates are used in this study: a low rate of 10 percent and a high rate of 15 percent.

The cost of production in the model is defined to include the value of all material and labour inputs, including a reasonable (normal) allowance for return or profit on one's investment and management.

The variable, n, which may be defined as the economic life of the resource for agriculture or the planning horizon faced by the analyst, is another key variable in the asset estimation procedure. If n is defined as the economic life of the soil resources, then this measures the number of years it will take for the productive depth of the soil to be depleted at a given rate of soil erosion. When that time is reached, it is assumed that the soil resource can no longer support plant life; or even if it does permit biological growth, the variable costs incurred to make it happen over and above family labour can no longer be recovered. The asset value of the resource for agriculture then becomes zero. Alternatively, it can refer to the length of the planning horizon, which usually ranges from 25 to 30 years for resource based projects. At the end of the planning period, the asset value of the resource for agriculture may still be positive if the productive soil depth is not yet completely depleted at this stage.

Note that the asset value of the land at the end of the planning period when used for alternative land uses (i.e., residential, industrial use, etc.,) may still be positive. If these alternative uses exist, then, the land use may be shifted to what may be considered as the next best alternative use of the land. If no such option exists, then the asset value at the end of the period T may indeed be zero. Note further that this phenomenon can only be a temporary situation. Given ample time for the soil resource to renew its inherent fertility, i.e., by leaving the land fallow, then the soil's asset value may increase subsequently. The ability of the soil to regenerate may allow agricultural land to be used again after the fallow period and, thus, contributes to increasing the asset value of the land under consideration. Once this happens, the whole process of accounting for soil depreciation for upland agriculture practices can start again.

Also, while the asset value formula only reflects the changes arising from the variations in the present value of the land rent over time, the paper does not imply that the soil resource will be worthless at the end of the accounting period. Due to increasing demand for land resources from the growing population and probably from increasing development or even commercialization in a given area, there could be an appreciation of the land. With no data on the appreciation of land value, however, the paper assumes that the present value of the asset at time T is a constant amount K. Since this, by assumption, does not vary over time, then the observed yearly changes in the asset value of the land resource can only be caused by changes in the land rent of the resource.

Depreciation is subsequently estimated as the change in asset value during the accounting period. On a year to year basis, soil resource depreciation is simply measured as the difference between the asset value at the beginning of the year and the asset value at the end of the year.

Soil yield loss damage function

One measure of the cost of human induced erosion is through the use of a soil yield loss damage function. This function could be derived from empirical studies which relate productivity level of soils for a given land use/crop to varying rates of erosion. As earlier noted, however, these studies are hardly available in the Philippines in wider spatial and temporal coverage. Moreover, given the large number of crops that are grown in various parts of the country, it is hardly possible to come up with damage functions for all of these various crops. Still, having such a damage function is advantageous in the sense that it will enable one to project the changes in the productivity of the crop corresponding to a given change in soil loss, assuming that the level of use of all other inputs remain constant. It is of course conceivable to think of a scenario wherein the farmers would try to offset the loss in productive soil with the increased application of organic and/or inorganic fertilizers.

Fertilizer equivalent of soil nutrients not available for crop uptake

In the process of producing the natural resource commodities, an undesirable by-product is generated (e.g. a soil loss beyond the tolerable rate). The tolerable level of soil loss may be defined as the vol ume of soil eroded through the natural process under a virtually undisturbed ecosystem. Under this undisturbed state, soils have the chance to regenerate so that whatever is lost (i.e., the tolerable level) is also brought back into the system, in which case, no physical depreciation is taking place. However, when the natural rate is exceeded (i.e., when soils are lost faster than they are regenerated), a physical depreciation of soil resources takes place.

The physical depreciation of soil resources is a product of both the bio-physical characteristics of the soils' environment (i.e. slope, rainfall and vegetation) and the activities introduced in the production process. Given that the physical environment of soils limits the extent and the kind of land use practices that man can reasonably perform on a soil resource unit, any rate of soil loss in excess of the tolerable level may be considered as human induced. It is the cost of human induced soil erosion that natural resource accountants are interested in monitoring and valuing.

As a second best approach (but one that is recognizably an inferior measure), one can use the value of the nutrients in the soil that are no longer available for crop uptake (because they are lost through erosion) as an indicator of the loss in soil productivity. This approach usually entails the estimation of the fertilizer-equivalent value of the nutrients carried in the eroded soils and some assumptions of the percentage of nutrients uptake by the crop. The most commonly measured nutrients consist of available nitrogen translated into urea equivalent (45 0 0), phosphorus in terms of solophos equivalent (0 20 0) and potassium converted into the value of muriate of potash (0 0 60). Assuming a constant annual rate of soil loss and some estimate of the percentage of nutrient uptake of the crop, the value of the inorganic fertilizer equivalent that could have been used by the crop (had this not been lost through soil erosion) can be estimated and presented as a measure of the physical deterioration/depreciation of the soil resource base.

Discussion of the data analysis

The soil erosion problem in The Philippines

Soil erosion is one of the most serious forms of land degradation, which greatly affects the population and the environment. This problem was recognized as early as the 1930s when it served as a precursor to the reforestation program of the then Bureau of Forest Development (PCARRD 1991). Sometime in the 1950s, the Bureau of Soil Conservation was created to promote better management of the country's soil resources. Efforts to combat soil erosion continued in the 1970s with the creation of the National Environment Protection Council (NEPC) and in the 1980s when Soil Erosion Prevention was considered as a national thrust. The seriousness of the soil erosion problem today attests to the lack of success of these programs.

An analysis made by the Department of Environment and Natural Resources (DENR) on the state of the Philippine environment showed that, overall, 75 percent of total croplands is vulnerable to erosion of various degrees. Thirteen provinces have 50 to 90 percent of their areas eroded. In terms of size of eroded land area, the top ranking provinces are Cebu (386,717 ha) and Bohol (271,739 ha) of Region VII; Masbate (269,147 ha) of Region V; Batangas (262,762 ha) of Region IV; and Abra (258,410 ha) of Region I (PCARRD, 1991).

The Bureau of Soils and Water Management (BSWM) further classified the country's agricultural and non-agricultural lands in terms of slight, moderate or severe soil erosion (Table 1). The basis for this classification is the number of rills and/or gullies found per 100 meter length across a given slope. In a way, the assessment may be considered crude but it was the best that could be done given the high cost requirement of undertaking more quantitative measurement of the extent of soil loss all over the country.

Analysis revealed that of the 42.4 percent land area in Luzon devoted to agriculture, 14.3 percent (1.44 million ha) suffers from moderate to severe erosion. The remaining 28.1 percent (4.55 million ha) has none to slight erosion. Erosion also takes place under non-agricultural land uses. Of the 57.6 percent non-agricultural land in Luzon, 27.1 percent (4.56 million ha) suffered from moderate to severe erosion. The remaining 30.5 percent (3.58 million ha) has zero to slight erosion.

Table 1      Areas used for agricultural and non-agricultural uses in The Philippines: extent of degradation by major island and by slope

Island/

slope

Land used for agriculture (in '000ha)

Land used for other uses (in '000ha)

Moderate to

Severe

None to

Slight

Total

Moderate to

Severe

None to

Slight

Total

Luzon

0-8%

814

3,277

     4,091

        276

     948

1,224

> 8%

626

1,277

     1,903

4,288

2,634

6,921

Total

1,440

4,554

5,994

4,564

3,582

8,146

Visayas

0-8%

 

610

610

200

200

401

> 8%

501

183

684

1,120

653

1,773

Total

501

793

1,294

1,320

854

2,174

Mindanao

0- 8%

2,053

1,412

3,465

771

511

1,282

> 8%

1,815

200

2,015

3,358

79

3,438

Total

3,868

1,612

5,480

4,129

590

4,720

Philippines

0- 8%

2,867

5,299

8,166

1,248

1,660

2,907

> 8%

2,942

1,660

4,602

8,765

3,367

12,132

Total

5,809

6,959

12,767

10,013

5,027

15,039

Source:"Crop Development and Soil conservation Framework for Luzon, Visayas and Mindanao Islands", Management and Evaluation Division (ALMED), Bureau of Soils and Water Management (BSWM), 1990.

Total land use in the Visayas accounted only for those areas covered by the major watersheds. It amounts to only 57.7 percent of the total land area of the region. Of this, 22.8 percent is devoted to agriculture, 8.0 percent of which falls under moderate to severe erosion category. Agricultural lands are largely found in areas with greater than 8 percent slope. Of the 34.8 percent land area devoted to non-agricultural use, about half (1.12 million ha) has moderate to severe erosion, all having a slope of greater than 8 percent.

Soil erosion is greater in areas with more than 8 percent slope, as seen also in the Mindanao data. In particular, almost all of the agricultural land areas with slope exceeding 8 percent suffer from moderate to severe soil erosion (1.81 million ha). The same is true for non-agricultural lands. Of the total 3.44 million ha, 3.36 million ha suffer from the same state of soil erosion.

For the country as a whole, some 2.87 million ha have moderate to severe erosion, out of the 8.17 million ha of agricultural land having less than 8 percent slope. The rest have no erosion problem. Of the 4.60 million ha of agricultural land with slope exceeding 8 percent, more than half (2.94 million ha) have moderate to severe erosion problem. Of the 15.04 million ha of non-agricultural land, 12.13 million ha are in areas with greater than 8 percent slope. Moderate to severe erosion exists in about 8.76 million ha of this land use category.

Table 2      Average erosion rates for various land uses

Land use

Average soil loss (tons/ha/yr)

Grassland/Pastureland

267.8

Upland Agriculture

112.8

Open Grassland

79.6

Fruit Trees

22.1

Trees, shrubs, grasses

12.5

Secondary Forest

3.0

Paddy rice, irrigated

2.3

Gmelina, ipil-ipil, coffee, grass

1.0

Source:IRG, Edgevale Associates and MADECOR (1991).

Rate and volume of soil erosion

The Philippine Council for Agriculture and Resources Research and Development (PCARRD, 1991) cited results of several local studies on soil erosion. Among these are the study of Paningbatan (1990) which indicated that annual soil loss was very much higher than the accepted tolerable soil loss of 3 to 10 tonnes/ha/yr and Sajise's (1984) which estimated that bare plots with 27 to 29 percent slope will have a soil erosion of 23 to 62 tonnes/ha/yr. In cultivated mountain slopes, the average erosion rate was 218.2 tonnes/ha/yr. The PCARRD (1991) publication also quoted the findings of David and Collado (1986), which applied the modified Universal Soil Loss Equation (USLE) to Philippine conditions using the Magat watershed as the test case. In particular, this study arrived at widely varying rates of soil loss by land use. Kaingin lands had the highest soil loss of 508 tonnes/ha/yr, followed by the open grasslands with 211 tonnes/ha/yr, and then by savannah with 195 tonnes/ha/yr. Diversified crop lands also have a very high erosion rate of 177 tonnes/ha/yr. The NRAP I (1991) have put together results of several studies which quantified erosion rates for various land uses in tonnes/ha/yr. These are presented in Table 2.

As indicated, erosion rates vary in different vegetative covers and across different slopes. The highest rate was measured in grassland/pastureland, which averaged 267.8 tonnes/ha/yr, and lowest in lands planted to forest tree crops (1.0 tonne/ha/yr), in paddy areas (2.3 tonnes/ha/yr) and in secondary forests (3 tonnes/ha/yr).

For the purpose of this study, the erosion rate for agricultural land use was estimated by getting the weighted average between upland agricultural land and land used for fruit trees. This is because of the observed predominance of agro-forestry (i.e., combined crop farming and tree farming) in many upland areas of the Philippines. The weight used was the proportion of agricultural land area devoted to cash crops and to fruit tree species as given in Evangelista (1993). The weighted average computed for agricultural land use was 61.8 tonnes/ha/yr. In the case of grasslands (open grassland and grassland/ pastureland), the average was 173.7 tonnes/ha/yr. For woodlands, the rate measured for secondary forest was 3.0 tonnes/ha/yr. These erosion rates were used in this study to calculate gross erosion and for the cost of erosion per hectare and per region.


Table 3      Gross and average erosion rates by region and by land use in The Philippines in 1993

Region

Gross erosion rate (million metric tonnes/year)

Total, tonnes/year

Averages

(tonnes/ha/yr)

Agriculture

Grassland

Woodland

CAR

5.99

131.73

2.54

140.26

82.42

I

4.53

104.02

0.53

109.08

128.49

II

18.17

99.54

3.85

121.57

56.51

III

6.73

98.84

1.24

106.82

97.82

IV

68.60

190.39

5.50

264.49

65.50

V

50.99

73.61

0.69

125.29

84.74

VI

39.01

136.18

0.74

175.94

105.80

VII

36.45

118.21

0.27

154.92

114.04

VIII

50.07

95.24

1.70

147.00

76.35

IX

42.13

110.76

1.03

153.92

92.58

X

46.69

125.10

3.50

175.29

66.31

XI

57.92

127.18

3.65

188.76

65.39

XII

29.72

151.00

1.72

182.45

94.79

Philippines total

457.02

1,561.80

26.98

2,045.79

80.62

Table 3 presents the gross and average erosion rate per region in the areas classified as uplands and highlands based on the classification given by Evangelista (1993). These land uses account for a total land area of 25.37 million ha, or 84 percent of the country's land resources. The national average erosion rate of 80.62 tonnes/ha is based on a weighted average of the three land-use specific erosion rates. The gross erosion in the country was estimated at 2.05 billion tonnes per year. The greatest contribution comes from the grasslands, which have the highest gross erosion rate of 1.56 billion tonnes/yr. Agriculture loses about 457 million tonnes of soil yearly while the woodland, a significant proportion of which has been encroached upon by illegal loggers and upland dwellers, has an annual loss of 26.98 million tonnes of soil.

The average rate for the various regions ranges from 65 tonnes/ha/yr in Region XI to 128 tonnes/ha/yr in Region I. The Visayas have relatively higher erosion rates of 105 tonnes/ha/yr for Region VI, 114 tonnes/ha/yr for Region VII and 76 tonnes/ha/yr for Region VIII. These are comparable to the estimated erosion rate in the Forestry Master Plan (1990) of 74 tonnes/ha/yr average for the entire Philippines.

Results showed that in all of the three major islands, the erosion rate was higher in the hilly lands or in areas with a slope of more than 18 percent and an elevation of less than 500 m.

Length of time to deplete soil resources

Given the information on rate of soil loss, soil density and effective soil depth, one can estimate how long it will take to deplete a centimetre (cm) of soil and the entire effective depth of the soil. Earlier, this length of time was referred to as the economic life of the resource. The economic life of Philippine soil resources was estimated using data on sampled and management units (LMUs) in different regions of the country. The sampling was limited by the available data and by the time constraint in this study.


Table 4      Length of time required to deplete soils of a given depth and bulk density by pedo-ecological zone (PEZ) and by region

Region

PEZ

Effective soil depth (cm)

Average Bulk Density (gm/cc)

Weight of Soil (ton/cm)

Soil Loss (ton/ha)

Depth of Soil Loss (cm/ha)

Number of years to deplete

Soil depth

1 cm

CAR

I

131

1.31

131

82.42

0.63

211

1.59

II

75

1.09

109

0.76

99

1.32

III

50

1.16

116

0.71

70

1.41

Ave

85

1.19

119

0.70

127

1.44

I

I

91

1.37

137

128.49

0.95

97

1.06

II

63

1.34

134

0.96

65

1.04

III

69

1.13

113

1.15

61

0.88

Ave

74

1.28

128

1.02

74

0.99

II

I

68

1.20

120

56.51

0.47

143

2.12

II

60

1.20

120

0.47

127

2.12

III

98

1.20

120

0.47

208

2.12

Ave

75

1.20

120

0.47

160

2.12

III

I

96

1.13

113

97.82

0.89

107

1.15

II

76

1.22

122

0.81

94

1.25

III

75

1.30

130

0.75

100

1.33

Ave

82

1.22

122

0.82

100

1.24

IV

I

70

1.19

119

65.50

0.56

129

1.82

II

52

1.07

107

0.64

88

1.63

III

50

1.19

119

0.56

91

1.82

Ave

57

1.15

115

0.59

103

1.76

V

I

110

1.15

115

84.74

0.77

142

1.35

II

154

1.23

123

0.70

226

1.45

III

87

1.20

120

0.71

139

1.40

Ave

117

1.19

119

0.72

169

1.40

VI

I

75

1.24

124

105.80

0.85

87

1.18

II

100

1.28

128

0.83

125

1.21

III

112

1.24

124

0.85

131

1.17

Ave

96

1.25

125

0.85

114

1.18

VII

I

75

1.24

124

114.04

0.92

106

1.06

II

100

1.28

128

0.90

27

1.06

III

112

1.24

124

0.92

139

1.40

Ave

96

1.25

125

0.91

91

1.17

VIII

I

150

1.26

126

76.35

0.61

248

1.65

II

92

1.28

128

0.60

158

1.68

III

112

1.24

124

0.62

182

1.62

Ave

118

1.26

126

0.61

196

1.65

IX

I

116

1.06

106

92.58

0.87

133

1.15

II

142

1.07

107

0.86

164

1.16

III

160

1.00

100

0.93

173

1.08

Ave

139

1.04

104

0.89

157

1.13

X

I

84

1.10

110

66.31

0.60

140

1.66

II

63

1.10

110

0.60

104

1.66

III

163

1.08

108

0.61

265

1.63

Ave

103

1.09

109

0.61

169

1.65

XI

I

63

1.24

124

65.39

0.53

120

1.90

II

105

1.24

124

0.53

200

1.90

III

112

1.24

124

0.53

212

1.90

Ave

94

1.24

124

0.53

177

1.90

XII

I

102

0.91

91

94.79

1.04

98

0.96

II

101

0.91

91

1.04

96

0.96

III

158

0.91

91

1.04

152

0.96

Ave

120

0.91

91

1.04

115

0.96

Total

I

95

1.18

118

 

0.75

136

1.43

II

91

1.18

118

0.75

121

1.42

III

104

1.16

116

0.76

148

1.44

Ave

97

1.18

118

0.75

135

1.43

Source of basic data:BSWM, Data files and LREP Reports, various provinces

Data from sample LMUs of the different pedo-ecological zones are summarized in Table 4, along with the economic life estimates for soils in the different regions. In general, one cm of soil, given current erosion rate, will be depleted in about a year and a half, or an average soil depletion rate of 0.75 cm a year. With effective soil depth ranging from 50 to 163 cm, the economic life of soils for agricultural land use is still very long at 70 to 265 years. This means that soil loss is going on at a very slow process and may not be noticeable within normal economic planning time-spans. This could partly account for the lack of sensitivity to on-site cost of soil erosion by many upland land users. They lack appreciation for the severity of the situation since there are still soils where they can plant. For as long as this is the case, they can see no problem, especially since many yield-enhancing technologies can mask the impact of soil degradation.

One can argue that it is not the effective soil depth that should be the main concern of the analysis. Rather the topsoil is more important since it is in this soil layer where the plants take most of the nutrients needed for their growth. Once this layer is removed, sustaining plant growth without additional fertilizer application will be difficult.

Recent data on topsoil depth of some upland areas reveal a soil depth of less that 10 cm. At soil depletion rate of 0.75 cm/ha/yr, it will take only some 13 years for the topsoil to be depleted. This makes it necessary for current resource users to be concerned with how the soil is being "mined" at present. If one takes a more optimistic stand and assumes a topsoil depth of 15-25 cm (a figure quoted by some respected soil scientists of the country)3, then it will take 20-33 years for this layer to be removed. This period is much shorter than when the effective soil depth was considered, but it can still probably be viewed as a long time when one accounts for a person's economic lifespan.

Nevertheless, the continuous removal of the topsoil through erosion will result in the reduction of total nutrients available for plant growth. Hence, noticeable costs are incurred in the process of soil erosion. Thus, it can be argued that even in the absence of studies which will relate nutrient loss to productivity decline or which will establish that the loss of soil nutrients leads to productivity loss, it is appropriate to "charge" resource users with an amount at least equal to the value of the lost soil nutrients.

Soil resources as an asset: asset value for different land uses in the Philippines

Land is a non reproducible asset that, in productive use, has a market value. The market value of any capital asset is the present (i.e., discounted) value of the stream of net returns expected from its use over a given time span, plus how much the land owner expects to get from it if it will be sold at the end of that time span. The net return for any land use, in turn, is obtained by deducting from the value of output the operating costs (i.e., labour and intermediate input), the cost of exploration and development, and capital consumption allowance (Hamilton 1989). Since the asset is expected to provide a flow of services over time, one may estimate the useful life of the resource, the rate of extraction or resource utilization over time, and the rate of return from the use of the resource. This information is not easy to derive. One simple approach is to assume optimal production, which requires (according to Hotelling’s specification) the returns from production of an exhaustible resource to grow over time at a rate equal to the interest rate. This assumes that extraction costs are independent of scarcity.

There are three possible ways to estimate the value of a natural resource base (Hamilton, 1989). Two of these are:  (a) getting the net present value (NPV) of a constant stream of land rent (i.e. net returns less a reasonable allowance for profit) which is assumed to be equal to the current land rent; and (b) calculating the NPV of a constant stream of land rent assumed to be equal to the land rent on the Maximum Sustainable Yield (MSY) of the resource. The MSY is the yield achievable by an optimum population size which is exploiting the given natural resource unit. Since determining MSY is in itself a research topic that is not yet explored at present, the former approach will be used in this paper. Admittedly, the current rate of extraction (as reflected in the current level of net returns) is subject to wide yearly variations and, therefore, may be arbitrary, but the lack of time-series data on land rent as a function of time, limits the analysis to that year when the land rent estimate was available.

Table 5      Basic data used in the asset depreciation analysis (in 1998 prices)

Region/Crops

Total Area (Ha)

Net revenue  (Pesos)

Land rent (Pesos)

Total land rent (million Pesos)

Erosion cost (Pesos  and USD)

CAR

Rice - terraced and irrigated

53,997

2,415

1,690.5

91.28

563

Corn

24,383

2,433

1,703.1

41.53

$22.5

Fruit and leafy vegetables

18,518

39,257

27,479.9

508.88

 

Total

96,898

 

 

641.69

 

Region I

Rice - terraced, non-irrigated

5,849

2,958

2,070.6

12.11

444

Corn

6,790

2,439

1,707.3

11.59

$17.68

Root crops

13,333

4,792

3,354.4

44.72

 

Other fruit trees

24,386

114,849

80,394.3

1,960.47

 

Coconut

22,958

3,775

2,642.5

60.67

 

Total

73,316

 

 

2,089.57

 

Region II

Upland rice

24,631

1,939

1,357.3

33.43

612

Corn

239,211

2,497

1,747.9

418.12

$24.45

Leguminous vegetables

14,837

3,586

2,510.2

37.24

 

Banana

15,245

14,934

10,453.8

159.37

 

Total

293,924

 

 

648.16

 

Region III

Corn

7,117

1,210

847.0

603

779

Leguminous vegetables

7,852

3,794

2,655.8

20.85

$30.97

Mango

13,799

25,509

17,856.3

246.40

 

Other fruit trees

9,123

25,509

17,856.3

162.90

 

Sugarcane

70,967

19,024

13,316.8

945.05

 

Total

108,857

 

 

1,381.23

 

Region IV

Coconut

435,291

2,462

1,723.4

750.18

441

Coconut and shrubs

546,675

2,462

1,723.4

942.14

$17.63

Sugarcane

127,601

33,286

23,300.2

2,973.12

 

Total

1,109,567

 

 

4,665.44

 

Region V

Corn

72,302

1,179

825.3

59.67

887

Coconut

624,976

4,526

3,168.2

1,980.05

$35.29

Coconut and shrubs

127,454

4,526

3,168.2

403.80

 

Total

824,733

 

 

2,039.72

 

Region VI

Corn

590,587

1,798

1,258.6

743.31

941

Coconut

11,567

3,866

2,706.2

31.30

$36.46

Sugarcane

28,830

34,250

23,975.0

691.20

 

Total

630,983

 

 

1,465.81

 

Region VII

Corn

220,341

3,914

2,739.8

603.69

1,134

Coconut

280,405

3,546

2,482.2

696.02

$44.34

Sugarcane

88,700

34,009

23,806.3

2,111.61

 

Total

589,446

 

 

3,411.32

 

Region VIII

Rice - terraced, non-irrigated

21,787

6,128

4,289.6

93.46

1,134

Coconut

716,895

1,821

1,274.7

913.83

$44.34

Fibre crops

50,167

4,949

3,464.3

173.79

 

Sugarcane

20,875

24,356

17,049.2

335.90

 

Total

809,724

 

 

1,536.98

 

Region IX

Upland rice

34,741

1,986

1,390.2

48.30

592

Corn

132,060

1,614

1,129.8

149.20

$23.54

Coconut

463,423

2,571

1,799.7

834.02

 

Root crops

23,605

2,473

1,731.1

40.86

 

Rubber

27,537

6,137

4,295.9

118.30

 

Total

681,366

 

 

1,190.68

 

Region X

Corn

262,464

1,852

1,296.4

340.26

689

Coconut

392,555

3,216

2,251.2

883.72

$27.44

Banana

51,836

12,582

8,807.4

456.54

 

Sugarcane

48,273

13,408

9,385.6

453.07

 

Total

755,128

 

 

2,133.59

 

Region XI

Corn

216,937

1,434

1,003.8

217.76

501

Coconut

651,402

3,412

2,388.4

1,555.81

$19.50

Banana

68,479

5,805

4,063.5

278.27

 

Total

936,818

 

 

2,051.83

 

Region XII

Corn

199,032

2,452

1,716.4

341.62

1,673

Coconut

240,314

4,974

3,481.8

836.73

$66.74

Rubber

41,394

14,228

9,959.6

412.27

 

Total

480,741

 

 

1,590.62

 

Table 5 presents a summary of the basic data used in estimating the asset value for agricultural land use in the Philippines. The source of basic data is the Land Resources Evaluation Project (LREP) of the Bureau of Soils and Water Management, which are contained in the ALMED (1990) reports for Luzon, Visayas and Mindanao. The major agricultural crops that dominate each of the 13 regions were taken from Evangelista (1993). This paper assumes that these dominant land uses account for all of the agricultural land use each in region. The net returns, as reflected in the LREP report, were adjusted downward by 30 percent to reflect a normal rate of return on investment. The remaining amount constitutes the above normal profit or the land rent. Land rent for the various agricultural crops is then multiplied to the agricultural area by type of agricultural crop to derive the total land rent for the various regions. These land rent values were used to estimate the asset value of the agricultural land resource in the upland Philippines.

Table 6      Estimated asset value and depreciation of agricultural land

Year

Asset Value (billion of pesos)

Economic depreciation (billion of pesos)

discount rate = 10%

discount rate = 15%

discount rate = 10%

discount rate = 15%

1988

242.28

168.75

-

-

1989

240.81

168.36

1.47

0.38

1990

239.18

167.92

1.62

0.45

1991

237.40

167.40

1.79

0.52

1992

235.44

166.81

1.96

0.59

1993

233.28

166.13

2.16

0.68

1994

230.92

165.35

2.37

0.78

1995

228.30

164.45

2.61

0.90

1996

225.44

163.42

2.87

1.03

1997

222.28

162.23

3.16

1.19

1998

218.81

160.87

3.47

1.36

1999

214.98

159.30

3.82

1.57

2000

210.78

157.49

4.20

1.81

2001

206.16

155.41

4.63

2.08

2002

201.08

153.03

5.08

2.39

2003

195.48

150.28

5.59

2.74

2004

189.33

147.12

6.15

3.16

2005

182.56

143.49

6.77

3.63

2006

175.12

139.31

7.44

4.18

2007

166.93

134.51

8.19

4.80

2008

157.92

128.98

9.01

5.53

2009

148.01

122.63

9.91

6.35

2010

137.11

115.32

10.90

7.31

2011

125.12

106.93

11.99

8.40

2012

111.93

97.26

13.19

9.66

2013

97.43

86.15

14.50

11.12

2014

81.74

73.37

15.96

12.77

2015

63.91

58.68

17.56

14.69

2016

44.60

41.78

19.31

16.90

2017

23.37

22.35

21.24

19.43

Notes:The above figures are based on the following retail prices: urea = PHP 3.94/kg; P205 = PHP 2.94/kg; and K20 = PHP 3.47/kg, plus import prices of: urea =USD 157.64/MT; P205 = USD122.00/MT; K20 = USD 125.43/MT. Economic depreciation is computed as the year-on-year change in asset value.

The asset value of the 7.4 million ha of agricultural lands in 1988 was PHP 242.28 billion using a 10 percent discount rate, or PHP 168.75 billion using 15 percent discount rate over a 30-year period (Table 6). Take note that the asset value represents the return to the use of the land since all production costs have already been paid for, including an allowance of 30 percent of net returns for normal return on investment. On a per hectare basis, using the 7.4 million hectares of agricultural land area, the asset value is PHP 32,778 at 10 percent discount rate or PHP 22,830 at 15 percent discount rate. As indicated in Table 5, land rent varies depending on the crop planted. Higher land rent is noted for high value crops like fruits, vegetables, and plantation crops. Low land rent is noted in areas planted to crops like corn, rice and root crops. Crops best suited to the soil characteristics are also expected to generate higher land rent.

Between 1988 and 1989, a reduction in asset value was noted to be PHP 1.47 billion and PHP 0.38 billion, using 10 percent and 15 percent rate of discount, respectively. These figures represent the economic depreciation of the soil resource base mainly due to the declining value of money over time (a present value formula). As a measure of depreciation, the economic depreciation values do not reflect the physical deterioration of the soil resource base that can be caused by several forces, a major one being soil erosion. To assume that depreciation from physical deterioration of the soil is not significant is tantamount to saying that productivity losses from soil erosion are not substantial to cause a significant decline in yield. This was implied in the long period remaining before soils become totally depleted (Table 4). From an earlier discussion, it was pointed out that effective soil depth is still relatively thick and, given current rate of soil loss, it will take a long time before the depletion point is reached. When that time comes, substantial productivity loss will be experienced, but since that is expected to happen beyond the life span of the present generation, converting it to present value will yield a very small number.

One may, however, argue that soil nutrients lost through erosion is real and, therefore, should at least be accounted for. If this is to be an accepted measure of cost of soil erosion, then the value of lost nutrients should be considered as part of the production cost, a negative externality, which must be deducted yearly from the value of the net returns.

Whatever remains of the net returns can then be used in the asset value formula. There are two objections to this alternative. One is the issue on whether the lost nutrients are indeed lost. The other is whether soil depreciation is really brought about by the physical changes in the soil.

The first objection argues that when fertile soils are eroded from the upland farms to downstream farms with less productive soils, they may even increase soil productivity downstream. Productivity loss takes place only if the additional returns downstream are less than the value of foregone productivity upstream. It is possible, however, that the topsoil upstream is still thick such that no significant productivity decline may result from soil erosion. In which case, there will even be a benefit from soil erosion rather than a cost. Of course, it is possible to think of fertile farms downstream being covered by infertile soils. In which case, productivity decline is expected to take place.

Unfortunately, there is not enough information to ascertain what becomes of the eroded materials. This lack of information limits our knowledge of the true value of soil erosion and consequent sedimentation. Nevertheless, the value of soil nutrients foregone may be considered as the minimum value of the cost of soil erosion under condition of thin topsoil in upland farms. This measures the amount of fertilizer nutrients that must be added to the soil to sustain crop growth.

The second objection to the proposed asset valuation approach relates to the measurement of soil depreciation. Under the said approach, it is hypothesized that the change in the value of the asset (a measure of depreciation) is brought about by changes in the physical quality of the resource and in monetary changes due to changes in prices. To treat the value of lost nutrients as part of the direct production cost would limit the definition of soil depreciation to changes that are brought about by changes in prices. This is not in conformity with what one normally associates with depreciation, i.e., the physical component.

Table 6, thus, shows the yearly economic depreciation measured from changes in the value of the asset (also shown in Figure 2) and, separately, the value of the soil nutrients found in eroded soil, discounted to the present. As earlier discussed, the latter can be taken as indicator of the physical deterioration of the soil resource base.


Figure 2     Economic depreciation

Value of soil nutrients in eroded soil

One way of putting a monetary value on the on-site cost of soil erosion is to estimate the value of the lost nutrients through erosion. The idea behind this is that eroded soil carries with it soil nutrients that could have been used up for plant growth. The value can be estimated using an analysis of soil nutrient content expressed in a per tonne or per cm of soil basis. Due to the important role played by macro-nutrients in the soil and because most data are only available for these soil nutrients, the analysis has focused on nitrogen (N), phosphorus (P), and potassium (K). The values of available N, P, and K were estimated in terms of the equivalent levels of urea (45 0 0), solophos or P205 (0 20 0), and muriate of potash or K20 (0 0 60).


Table 7           N (urea), P (P2O5) and K (K2O) content of a tonne of soil under varying land uses, by region, Philippines, 1993

 Region

Agriculture

Grassland

Woodland

All

N

P

K

N

P

K

N

P

K

N

P

K

(kilograms)

(kilograms)

(kilograms)

(kilograms)

CAR

2.22

0.07

0.04

2.22

0.07

0.04

2.22

0.07

0.04

2.22

0.07

0.04

I

1.70

0.03

0.11

1.63

0.04

0.14

1.70

0.03

0.11

1.68

0.04

0.12

II

2.24

0.07

0.27

1.88

0.03

0.11

1.88

0.03

0.11

2.00

0.04

0.17

III

2.94

0.07

0.23

2.37

0.05

0.18

1.93

0.04

0.13

2.41

0.05

0.18

IV

1.70

0.08

0.05

2.47

0.05

1.00

2.47

0.05

1.00

2.21

0.06

0.68

V

3.41

0.04

0.23

3.41

0.04

0.22

3.33

0.03

0.20

3.38

0.04

0.22

VI

2.91

0.06

0.98

2.32

0.23

1.05

4.52

0.03

0.37

3.25

0.11

0.80

VII

3.51

0.06

1.25

2.91

0.06

1.32

4.96

0.03

0.75

3.79

0.05

1.11

VIII

3.51

0.06

1.25

2.91

0.06

1.32

4.96

0.03

0.75

3.79

0.05

1.11

IX

2.22

0.08

0.17

2.22

0.08

0.17

2.42

0.07

0.15

2.29

0.07

0.16

X

2.64

0.03

0.18

2.64

0.03

0.18

2.64

0.03

0.18

2.64

0.03

0.18

XI

1.45

0.04

0.66

2.44

0.05

0.16

1.55

0.04

0.62

1.81

0.04

0.48

XII

6.60

0.03

0.27

3.01

0.06

0.18

4.79

0.04

0.30

4.80

0.04

0.25

Average

2.85

0.06

0.44

2.50

0.07

0.47

3.03

0.04

0.36

2.79

0.05

0.42

Note:Urea - 45-0-0; P2O5 - 0-20-0; K2O - 0-0-60.

Table 7 shows the macro-nutrient content of a tonne of soil while the peso equivalent is shown in Table 8 for the three major land uses and for the 13 regions of the country.

Table 8      Value of N, P and K found in a tonne of soil under varying land uses, by region, Philippines, 1993, (in pesos)

Region

Agriculture

Grassland

Woodland

All

average

N

P

K

Total

N

P

K

Total

N

P

K

Total

CAR

8.76

0.21

0.13

9.10

8.76

0.21

0.13

9.10

8.76

0.21

0.13

9.10

9.10

I

6.71

0.10

0.37

7.18

6.42

0.11

0.47

7.00

6.71

0.10

0.37

7.18

7.12

II

8.83

0.20

0.94

9.97

7.39

0.10

0.39

7.88

7.39

0.10

0.39

7.88

8.58

III

11.58

0.20

0.81

12.59

9.34

0.14

0.64

10.12

7.59

0.12

0.44

8.15

10.28

IV

6.71

0.25

0.18

7.14

9.73

0.16

3.48

13.36

9.73

0.16

3.48

13.36

11.29

V

13.43

0.12

0.80

14.34

13.43

0.11

0.78

14.32

13.13

0.10

0.68

13.91

14.19

VI

11.48

0.18

3.40

15.06

9.14

0.67

3.64

13.45

17.80

0.10

1.29

19.19

15.90

VII

13.81

0.18

4.35

18.35

11.48

0.18

4.59

16.25

19.55

0.10

2.60

22.25

18.95

VIII

13.81

0.18

4.35

18.35

11.48

0.18

4.59

16.25

19.55

0.10

2.60

22.25

18.95

IX

8.76

0.22

0.59

9.57

8.76

0.22

0.59

9.57

9.53

0.20

0.54

10.27

9.80

X

10.41

0.10

0.64

11.15

10.41

0.10

0.64

11.15

10.41

0.10

0.64

11.15

11.15

XI

5.71

0.11

2.28

8.10

9.63

0.16

0.55

10.34

6.10

0.12

2.16

8.38

8.94

XII

26.02

0.10

0.94

27.06

11.87

0.16

0.63

12.66

18.87

0.11

1.06

20.04

19.92

Average

11.23

0.17

1.52

12.92

9.83

0.19

1.62

11.65

11.93

0.12

1.26

13.32

12.63

Note:retail prices (source: FPA, 1988-89): Urea (45-0-0) - P 3.94/Kg; Solophos (0-20-0) - P 2.94/Kg; Muriate of Potash (0-0-60) -
P 3.47/Kg. Price of Solophos is not known. Its price was assumed to be 50% of TSP (0-46-0).

Valuation was done using two sets of prices. The financial prices were the 1988 retail prices of urea, super phosphate (P2O5), and muriate of potash (K2O), which was PHP 3.94/kg, PHP 2.94/kg, and PHP 3.47/kg, respectively. The economic prices of these nutrients were the 1988 CIF import prices, which were US$ 157.64/MT for urea, US$ 112/MT for solophos, and US$ 125.43/MT for muriate of potash.

The N content (in urea equivalent) of soils under agriculture ranged from a low 1.45 kg (PHP5.71) in Region XI to a high 6.60 kg (PHP26.02) in Region XII. The average for all regions is 2.85 kg of urea, which is worth PHP 11.23. The solophos content of agricultural land is quite low at 0.06 kg, valued at PHP 0.17 only, while the muriate of potash content is also low at 0.44 kg, which is worth PHP 1.52. No significant differences were observed between the N, P and K content of soils under grassland. The average N content of grassland is 2.5 kg valued at PHP 9.83, K content is 0.07 kg worth PHP 0.19, and P content is 0.47 kg valued at PHP 1.62. The woodland has relatively higher N content of 3.03 kg urea (PHP11.93), but it has lower P and K content at 0.04 kg and 0.36 kg, respectively.

Considering all the macro-nutrient content of a soil, a tonne of soil contains PHP 12.92 worth of macro-nutrients for agricultural land, PHP 11.65 for grassland, and PHP 13.32 for woodland. (Table 8) A tonne of soil lost through erosion carries with it this amount of soil nutrients. One can immediately notice that the estimated values are probably so small to matter to the farmers, which may be the reason why soil erosion has reached its present state. There appears to be little incentive to prevent the nutrient losses since they are insignificant in money terms.

The above discussion has focused on the soil nutrient content of a tonne of soil. A hectare of soil, however, loses more nutrients annually than a tonne of soil. This means that the on site loss to farmers can be much bigger than what is implied by the per tonne soil analysis. Recall that the erosion rate used for agriculture land use was 61.8 tonnes/ha/yr, 173.7 tonnes/ha/yr for grassland, and 3 tonnes/ha/yr for woodland (see Section 3.21, p.12). Using these erosion rates, the average N content of a hectare of eroded agricultural land is 176.27 kg of urea worth PHP 694.50, 3.5 kg of solophos worth PHP 10.29, and 27.11 kg of muriate of potash valued at PHP 94.07. Thus, a hectare of agricultural land is losing soil nutrients worth PHP 798.86 per year. Nutrient loss in grasslands is worth PHP 2,023.52 per year, while for woodlands it is only PHP 39.97 per year. The average value of soil nutrients lost through erosion is PHP 799.23/ha/yr for all land uses.

Differences in the value of soil nutrient losses can be explained by the differences in the level of soil erosion for the three land uses. Even on a per hectare basis, the value of soil nutrients lost through erosion may not be considered substantial. When masked by use of inorganic and organic fertilizers, nutrient losses are hardly noticeable at all. Again, this shows that on site losses may not be that significant to cause farmers to worry about the economic impact on them. The off site effects are often not a relevant concern to private decision makers on site. The off site cost, however, is a relevant one to society and must be considered in determining the optimal level of soil loss that can be allowed to persist.

Note that while the per hectare losses may not be substantial, the value of the loss for the country as a whole is quite huge. From the agricultural lands, the value of the loss is estimated at PHP 5.94 billion, which represents close to 1 percent of the Net National Product (NNP) in 1988 at 1985 constant prices and 4.27 percent of the PHP 139.258 billion gross value added for agriculture in the same year. Losses from grasslands are highest at PHP 18.29 billion while from the woodlands they were lower at PHP 323.4 M. From all land uses, the value of lost soil nutrients is PHP 24.56 billion.

The share of the various regions to this total is also given in the same table. Region IV had the biggest value of loss at PHP 3.1 billion while Regions I and II had the lowest at PHP 764.8 million and PHP 995.9 M, respectively. In agriculture, however, the biggest losses were estimated for the Visayas Region, with PHP 587.7 million in Region VI, PHP 668.6 million in Region VII, and PHP 918.5 million in Region VIII. Nutrient loss was also high for Region XII, estimated at PHP 804.28 million for 1988. The CAR and Region I registered low losses from agriculture at PHP 54.55 million and PHP 32.55 M, respectively. The low value obtained in these two regions was mainly due to the relatively smaller agricultural land found in them.

Table 9      Value of depreciation and nutrient losses of agricultural lands at 10% and 15% discount rate (in billion pesos, 1988 prices)

Year

Economic Depreciation

Value of Soil Nutrients in Eroded Soil

10%

15%

10%

15%

a

b

a

b

1988

-

-

5.41

213.5

5.17

204.2

1989

1.47

0.38

4.92

194.1

4.50

177.6

1990

1.62

0.45

4.47

176.4

3.91

154.4

1991

1.79

0.52

4.06

160.4

3.40

134.4

1992

1.96

0.59

3.69

145.9

2.96

116.8

1993

2.16

0.68

3.36

132.6

2.57

101.5

1994

2.37

0.78

3.05

120.5

2.24

88.3

1995

2.61

0.90

2.78

109.6

1.94

76.8

1996

2.87

1.03

2.52

99.6

1.69

66.8

1997

3.16

1.19

2.29

90.6

1.47

58.0

1998

3.47

1.36

2.08

82.3

1.28

50.5

1999

3.82

1.57

1.89

74.8

1.11

43.9

2000

4.20

1.81

1.72

68.0

0.97

38.2

2001

4.63

2.08

1.57

61.8

0.84

33.2

2002

5.08

2.39

1.42

56.2

0.73

28.9

2003

5.59

2.74

1.29

51.1

0.64

25.1

2004

6.15

3.16

1.18

46.5

0.55

21.8

2005

6.77

3.63

1.07

42.2

0.48

19.0

2006

7.44

4.18

0.97

38.4

0.42

16.5

2007

8.19

4.80

0.88

34.9

0.36

14.4

2008

9.01

5.53

0.80

31.7

0.32

12.5

2009

9.91

6.35

0.73

28.8

0.27

10.9

2010

10.9

7.31

0.66

26.2

0.24

9.4

2011

11.99

8.40

0.60

23.8

0.21

8.2

2012

13.19

9.66

0.55

21.7

0.18

7.1

2013

14.50

11.12

0.50

19.7

0.16

6.2

2014

15.96

12.78

0.45

17.9

0.14

5.4

2015

17.56

14.69

0.41

16.3

0.12

4.7

2016

19.31

16.90

0.37

14.8

0.10

4.1

2017

21.24

19.43

0.34

13.5

0.09

3.5

Note:a. Based on retail price of Urea=P3.94/Kg, P2O5=P2.94/Kg, K2O=P3.47/Kg
 b. Based on import price of Urea=$157.64/MT, P2O5=$122.00/MT, K2O=$125.43/MT

Soil depreciation estimates for upland agricultural lands: economic depreciation and value of lost soil nutrients

Depletion of an exhaustible resource means the consumption of the asset, which should be reflected as a reduction in the value of the asset over time. From 1988 to 1989 for example, the value of the asset has declined by P1.47 billion using a 10% discount rate (Table 9). This represents a 0.6 percent decline in the 1988 asset value of the country's agricultural lands. The yearly economic depreciation estimate over the period of 1988-2017 has been increasing. This trend reflects the reduction in the value of the asset over time because of the decreasing time value of money. As a measure of soil depreciation, the value of economic depreciation measures purely the decline in the monetary value of the asset.

Since the economic depreciation estimates does not yet reflect any change in the physical depreciation of the soil (i.e. the change in the productivity of the soil), one can say that physical change is not an accurate measure of soil depreciation. The loss in soil productivity cannot be established yet, especially for all the major crops in the country. Alternatively, the loss in nutrient content could be used as an indicator of the physical damage of the soil. If these two figures will be added, then the 1989 value of soil depreciation on site would be PHP 6.39 billion at 10% discount rate or P4.88 billion when the discount rate used is 15%.

One will immediately notice that the value of soil nutrients in eroded soil far exceeds the economic depreciation estimates. In 1989, for example, at 10% discount rate, the value of soil nutrients was PHP 4.92 billion as against the PHP 1.47 billion estimate of economic depreciation. The economic depreciation estimate increases over the years as the asset value decreases over time The decreasing asset value was due to the declining period of accounting (i.e. in 1988 one considers stream of land rent in the next 30 years while in year 2000, the stream of land rent being counted is that due in the remaining 18 years of the 30-year life span) for the value of the asset.

Estimates of a yield-soil loss damage function: application of EPIC in an upland town in Luzon

De Guzman (1997) used the simulation model developed by the USDA in the early 1980s. This model is more popularly known as the EPIC, which stands for Environmental Policy Integrated Climate. In the early phase of the development of this model, it was described as Erosion Productivity Index Calculator. Due to the wider application of the model to various environmental problems, the name has been changed as is currently defined.

EPIC requires detailed information on the physical characte ristics of the site, crop cultural practices and crop requirements. The model combines the soil loss estimates from the USLE with various other soil characteristics and climatic variables and is capable of predicting losses of soil nutrients such as N and P, and movement of pesticides in water runoff. The model runs on an IBM-PC compatible computer system with at least 640 K RAM. The model provides default values for some parameters.

Table 10         Measured and EPIC simulated yields of corn and peanut: mabini, batangas, (in tonnes/hectare)

Year

Corn

Peanut

Measured

Predicted

Measured

Predicted

1991

0.34

0.31

1.02

0.54

1992

0.86

0.95

1.26

1.33

1993

1.83

0.67

0.53

0.92

1994

0.53

0.23

Source:Table 2 in De Guzman, Ma. Theresa (1997) "Evaluating the Impacts of Area Development Plans and Soil Conservation Practices on Soil Productivity:  A Simulation Approach" (Unpublished Masteral Thesis, M.S. Ag. Econ., UPLB).

Table 10 shows a comparison of the measured soil loss and yield with those generated through the EPIC model. It can be seen that the numbers obtained by the model did not seem to differ substantially from the actual data. With confidence on the EPIC model, the author projected the soil loss and yield data for corn crop over a 20 year period. These generated time series data were then used to estimate a damage function with yield as a function of soil loss, using a linear relationship.

Results of regression analysis gave the following soil loss - yield relationship:

Yt = 1,360 - 12.5 soil loss

The results show that a tonne of soil loss would result to a yield decline equivalent to 12.5 kg/hectare. When price of corn is available, the value of productivity loss can be estimated. Assuming a PHP 10/kg of corn, the productivity loss per tonne of soil loss is worth PHP 125/ton. On a per hectare basis, assuming an 80 tonnes/ha rate of soil loss, then the production foregone in a hectare of upland area can come to PHP 10,000 per ha (USD 250).

The magnitude of soil depreciation.

Soil depreciation estimates for upland agricultural lands ranged from PHP 1.47 billion to PHP 6.39 billion in 1989. The lower value represents the economic depreciation estimate using the asset valuation approach (i.e., a change largely attributed to changes in the value of money over time). Recall that in this particular case, prices are assumed constant and losses due to physical depreciation/deterioration of the soil are considered insignificant. The higher value considers both the economic depreciation and the physical deterioration of the resource base, measured in terms of the value of soil nutrients carried by the eroded materials. Using 1988 data, the undiscounted value of soil nutrients lost from the uplands through erosion (PHP 5.94 billion) represents 4.27 percent of the Gross Value Added in agriculture and one percent of the Net National Product. The magnitude of the soil depreciation estimate is, therefore, substantial when viewed at the aggregate. This value represents what can reasonably be spent by the government for soil conservation programs in upland agricultural lands of the country.

Note that since the earlier estimates account only for agricultural lands, these values may be considered to be on the low side. The value of nutrient losses from grasslands is much higher than that from agricultural lands. This value was PHP 18.29 billion from grasslands in 1988 as against only PHP 5.94 billion from agricultural lands. Many of the country's grasslands are in degraded state and must be given attention, particularly those found in the uplands. Planting trees or afforestation efforts in these grasslands have higher payoff, as indicated alone by the value of soil nutrients lost through soil erosion worth PHP 323.40 million under woodlands. This value is much lower than the PHP18.29 billion value of nutrients lost in the grasslands pointing to high potential benefit of rehabilitating grasslands.

Several approaches in estimating soil depreci ation were discussed. The use of soil productivity loss damage function was pointed out as important in measuring the changes in the physical ability of the soil to support plant growth. The lack of data to make this estimation possible, however, is still a major constraint in the estimation process. As an alternative, the use of replacement cost method has gained popularity. There are several limitations to this approach, however, and its continued use by analysts is due more to the absence of adequate alternatives.

The asset valuation approach may provide a better measure of soil depreciation. If the changes in asset value over the years can capture both the monetary and the physical changes in the soil resource base, then this method will be an ideal measure of soil depreciation. Unfortunately, not much can be said about the physical deterioration of the soil at this time due to lack of data. The economic measure of soil depreciation in the context of this study was limited to measure of changes in the value of the asset due to declining value of money over time.

The potential for using EPIC in generating damage function relating yield to soil loss is promising in the Philippine condition. The comparison of the experimental data with EPIC-generated data reveals no significant differences in the two data sets. This may be interpreted to mean that EPIC is capable of predicting yield and soil loss data when fed with bio-physical characteristics of the study area and some information on the cultural practices used in the production activity. Where data are not available, the model allows the use of default values in the United States that closely approximately the study area—in the Philippine case study, the data in Hawaii was used as the default values. The use of EPIC in other study areas in the country should be explored further in the future.

Recommendations for future research

The valuation of soil depreciation may be improved in the future if the following aspects are given greater attention:

  1. Assessment of the value of land at the end of year T. In the analysis, this was assumed to be a fixed amount K. In reality, we know that the value of the land in different locations and for different land uses tend to change (generally appreciate) over time. This trend in land value or appreciation over time must be studied as well to obtain a more realistic figure of soil depreciation (appreciation) over the years.

  2. The on-site productivity loss associated with soil erosion still needs to be established. There are some modelling works done in other countries that some technical scientists in the country have started to adopt. At some future time, results of their analysis may become available, which can allow for the estimation of the damage function of soil loss.

  3. The next phase should already consider the off site estimation of soil erosion damages. The on site impacts have already been given enough consideration in this paper, and given the state of data constraint we are in, not much changes can be done in the methodology adopted in the study.

  4. The use of EPIC in other parts of the country should be encouraged to address data constraints on time series information on soil loss and yield.


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