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Economic Analysis Determining the Optimal Replanting Age of Date Palm

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Economic Analysis Determining the Optimal Replanting Age of Date Palm Agricultural and Marine Sciences, 19:51-61 (2014) Sultan Qaboos University Economic Analysis Determining the Optimal Replanting Age of Date Palm Hemesiri B. Kotagama1*, Amani Juma T. Al-Alawi1, Houcine Boughanmi1, Slim Zekri1, Hemanatha Jayasuriya2, and Msafiri Mbaga1 1Department of Natural Resource Economics, 2Department of Soils, Water and Agricultural Engineering, College of Agricultural and Marine Sciences, Sultan Qaboos University, P.O. Box 34, Al-Khod 123, Sultanate of Oman اﻟﺘﺤﻠﻴﻞ اﻻﻗﺘﺼﺎدي ﻟﺘﺤﺪﻳﺪ اﻟﻌﻤﺮ اﻷﻣﺜﻞ ﻹﻋﺎدة ﻏﺮس اﻟﻨﺨﻴﻞ 1 1 1 1 ﻫﻤﻴﺴﺮس ﻛﻮﺗﺎﺟﺎﻣﺎ وأﻣﺎﻧﻲ اﻟﻌﻠﻮﻳﺔ وﺣﺴﲔ ﺑﻮﻏﺎﳕﻲ وﺳﻠﻴﻢ زﻛﺮي 1 2 وﻫﻴﻤﺎﻧﺜﺎ ﺟﻴﺎﺳﻮرﻳﺎ وﻣﺴﺎﻓﻴﺮي ﻣﺒﺎﻗﺎ اﳋﻼﺻﺔ: ﰎ اﺳﺘﺨﺪام ﳕﻮذﺟﲔ ﲢﻠﻴﻠﻴﲔ ﻟﺘﻘﺪﻳﺮ اﻟﻌﻤﺮ اﻷﻣﺜﻞ ﻹﻋﺎدة ﻏﺮس اﻟﻨﺨﻴﻞ. اﻟﻨﻤﻮذج اﻷول ﻋﺒﺎرة ﻋﻦ ﻣﻘﺎرﻧﺔ ﺑﲔ ﺻﺎﻓﻲ اﻹﻳﺮادات اﻟﺴﻨﻮﻳﺔ و اﻟﻨﻤﻮذج اﻟﺜﺎﻧﻲ ﻋﺒﺎرة ﻋﻦ اﻟﺒﺮﻣﺠﺔ اﳋﻄﻴﺔ ﻟﻔﺘﺮات ﻣﺘﻌﺪدة. اﳋﻄﻮات اﻟﺘﺤﻠﻴﻠﻴﺔ اﻟﺘﻲ اﺗﺒﻌﺖ ﻓﻲ ﻛﻼ اﻟﻨﻤﻮذﺟﲔ اﻋﺘﻤﺪت ﻋﻠﻰ ﻧﻈﺮﻳﺔ اﻟﺒﺪﻳﻞ اﻷﻣﺜﻞ ﻷﺻﻞ راس اﳌﺎل. ﰎ اﳊﺼﻮل ﻋﻠﻲ اﻟﺒﻴﺎﻧﺎت ﻋﻦ اﻟﻌﻼﻗﺔ ﺑﲔ ﻋﻤﺮ اﻟﻨﺨﻠﺔ واﶈﺼﻮل واﳌﺘﻐﻴﺮات اﻻﺟﺘﻤﺎﻋﻴﺔ واﻻﻗﺘﺼﺎدﻳﺔ ﻣﻦ ﺧﻼل اﺳﺘﺒﻴﺎن وزع ﻋﻠﻰ 34 ﻣﺰارﻋﺎً ﻣﻦ ﻣﺎﻟﻜﻲ ﻣﺰارع ﻧﺨﻴﻞ ﻓﻲ ﻣﺤﺎﻓﻈﺔ اﻟﺪاﺧﻠﻴﺔ ﻣﻦ وﻻﻳﺎت ازﻛﻲ و ﺑﻬﻼء و اﳊﻤﺮاء. ﻗﺪرت اﻟﺪراﺳﺔ اﻟﻌﻤﺮ اﻷﻣﺜﻞ ﻹﻋﺎدة ﻏﺮس اﻟﻨﺨﻴﻞ ب 50-55 ﺳﻨﺔ. وﻗﺪم ٌﻛﻞ ﻣﻦ اﻟﻨﻤﻮذﺟﲔ، ﻧﺘﺎﺋﺞ ﻣﺘﻘﺎرﺑﺔ وﻣﺘﻔﻘﺔ. وﻛﺎن اﻟﻌﻤﺮ اﻷﻣﺜﻞ ﻹﻋﺎدة ﻏﺮس اﻟﻨﺨﻴﻞ ﻣﺘﺄﺛﺮاً ﻓﻘﻂ ﺑﺎﻟﺘﻐﻴﺮات ﻓﻲ أﺳﻌﺎر اﻟﻔﺎﺋﺪة، ﺣﻴﺚ أن اﻧﺨﻔﺎض أﺳﻌﺎر اﻟﻔﺎﺋﺪة ﺗﻘﻠﻞ ﻣﻦ اﻟﻌﻤﺮ اﻷﻣﺜﻞ ﻹﻋﺎدة ﻏﺮاﺳﺔ اﻟﻨﺨﻴﻞ. ﻟﻢ ﻳﺜﺒﺖ أن ﻟﻠﺘﻐﻴﺮات ﻓﻲ اﻷﺳﻌﺎر واﻟﻌﺎﺋﺪ واﻟﺘﻜﻠﻔﺔ أي ﺗﺄﺛﻴﺮ ﻓﻲ اﻟﻌﻤﺮ اﻷﻣﺜﻞ ﻹﻋﺎدة ﻏﺮس اﻟﻨﺨﻴﻞ. ﻗﺪرت اﻟﻌﺎﺋﺪات اﻹﺿﺎﻓﻴﺔ ب7 ﻣﻠﻴﻮن ﺳﻨﻮﻳﺎ ﻋﻠﻰ ﻣﺴﺘﻮى اﻟﺴﻠﻄﻨﺔ ﻓﻲ ﺣﺎﻟﺔ إﻋﺎدة ﻏﺮس اﻟﻨﺨﻴﻞ. ﻛﻠﻤﺎت ﻣﻔﺘﺎﺣﻴﺔ: اﻟﻨﺨﻴﻞ, إﻋﺎدة اﻟﻐﺮاﺳﺔ ، اﻟﺒﺮﻣﺠﺔ اﳋﻄﻴﺔ ﻟﻔﺘﺮات ﻣﺘﻌﺪدة، ﺳﻠﻄﻨﺔ ﻋﻤﺎن ABSTRACT: Two alternative analytical models were used to estimate the economically optimal age of replanting date palm, namely; Comparison of Equivalent Annual Net Revenue (CEAN) and Multi-Period Linear Programming Model (MPLP). Solution procedures of both models are based on the theory of optimal replacement of capital assets. Data on date palm age-yield relationship and other socio- economic variables were gleaned through a farm survey of 34 large commercial farms, in Izki, Bahla, and Al-Hamra wilayats in the Al- Dakhilya governorate of the Sultanate of Oman. The study estimated the optimal age of replanting date palms as 50-55 years. Both models, CEAN and MPLP gave consistent estimates. The optimal age to replant date palms was sensitive only to changes in the interest rates. Low interest rates shortened the optimal age of date palm replanting. Changes in date price, yield and variable production costs did not change the optimal age of replanting date palms. The incremental revenue that could be accrued to the Sultanate of Oman through replanting date palms was estimated as 7 million OR/ year. Keywords: Date palm, replanting, Multi-Period Linear Programming, Sultanate of Oman. Introduction and diseases, harvest and post-harvest loses and degradation The Sultanate of Oman is ranked ninth in world date (Phoenix of soil and water quality (Al-Yahyai, 2007). The Government dactylifera L.) production with a production of 255,871 tons, of the Sultanate of Oman since 2009 has embarked on which represents 3.63% of the world production (FAOSTAT, a programme of planting one million date palm trees, to 2010). Date palms occupy about 42% of the total agricultural rejuvenate the date sector. land in the Sultanate of Oman. Since the year 2000 date The planting of date palms could either be on new lands, production has declined. Some factors that have contributed or by the replanting of old unproductive date palms in to the decline of date production are the non-availability of existing agricultural lands. Replacing of unproductive old skilled labor to carry out field operations, occurrence of pests plants with new plants (commonly referred to as replanting) ___________________________________________ 51 *Corresponding author/E-mail: [email protected] Kotagama et al. Economic analysis determining the optimal replanting age of date palm is an agronomic practice in perennial crop management to provided essentially the same estimate of replanting age. maximize and sustain income overtime. Further replanting The study has estimated that low producing plum trees does not require substantial incremental resources than should be replanted in 24 years with the same variety of presently committed. This is particularly important in plants. A similar study determining optimal replacement the Sultanate of Oman where water is extremely scarce. age of beef cows using stochastic models has been Replanting date palms provides an opportunity to use reported by Bentley et.al. (1976). the presently committed resources and improve farms Kearnev (1994) has used an inter-temporal linear towards economic production systems, which will programming model for a pip fruit orchard replacement improve the livelihood of farm dependents and increase decisions in New Zealand under changes of market the contribution to the nation’s national income. However, conditions and technical advances. The replacement the agronomic practice of replanting date palms has not decisions resulted in an increase of the orchard’s gross been formally adopted and promoted in the Sultanate of margin substantially. Lower interest rates were found Oman. This study has estimated the economically optimal to shorten the replanting age. A similar study has been age to replant date palms in the Sultanate of Oman. conducted by Oppenheim (2003) using multi-period The second section of the paper presents a review linear programming to evaluate orchard (apple and pear) of literature on analytical methods used to estimate adjustment strategies in New Zealand. optimal age of replanting of perennial crops. The third Etherington (1977) has used a stochastic model to section presents the analytical methodology adopted in determine the optimal replacement of rubber trees in this study to estimate the optimal age to replant date Peninsular Malaysia. The model is based on the principles palms. The fourth section presents the results. The final of deterministic asset replacement proposed by Perrin section summarizes findings and draws conclusions and (1972). Groenewald and Dutoit (1985) used a deterministic recommendations towards improving date palm farm model of asset replacement and estimated the optimal age income through optimal replanting in the Sultanate of of replanting of avocado in orchards as 18 years. It is Oman. reported that new technology that increases net returns shortens the replanting age whilst it is also sensitive to Review of Literature inflation. White (1986) using a dynamic programming Faris (1960) is a widely quoted source that has proposed framework and Larry et.al. (1990) using procedure and analytical techniques to determine the optimum principles proposed by Faris (1960) have developed replacement age of assets. The author has presented computer software models to determine the optimal age decision rules that could be followed in deciding the of orchard crops. Mwinjaka et.al. (1999) used a backward replacements of assets that have (1) a short production method dynamic programming model to determine the period with revenue being realized by the sale of the asset replacement age of coconut palms in Tanzanian farming (example: buying and selling feeder cattle); (2) a long systems. The results showed that coconut palms should be production period with revenue being realized by the sale replanted when the palms are at the age between 60-80 of the asset (example: forestry); (3) a long production years to obtain maximum net-returns over time. Al-Shuaibi period with revenues being realized throughout the life of (2001) developed a model that could explain the factors the asset (example: perennial crops). A long production that affect the decision of date growers to plant new palms period with revenues being realized throughout the life using new lands or replanting the old date orchards. The of the asset best represents date palm plantations. The study reports that initially, young palms with less than 15 rule of replanting for such crop assets as Faris (1960) years of age have low production, then production begin to derived was that; the optimum replanting age is the age increase substantially and reaches a peak production of 75 that makes the annual net revenue from “present” palms kg per palm with an age of 25 years after which the yield equal to the anticipated amortized present value of the declines with increasing age of date palms. net revenue from the “future” palms (replanted palms). Ismail and Mamat (2002) have estimated the optimal The amortized present values of the net revenue of the age of oil palm replanting in Malaysia using a deterministic future palms are obtained on the accumulated present model. They have estimated that the optimal age to replant values of net revenues over sequence of years. Perrin oil palms is between 25-26 years. The age of replanting (1972) has through mathematical derivations confirmed decreases with price increases of palm oil. Cembalo on a continuous time scenario the principles of decision (2002) has developed a multi-period mathematical model making on asset replacement that was proposed by Faris to account for perennial crop decisions such as replanting, (1960) on a discrete scenario. storage, marketing and financial investments. The The decision criteria on asset replacement proposed by variability of returns has been incorporated by introducing Faris (1960) and Perrin (1972) has been applied to estimate a quadratic objective function that accounts for uncertainty the replanting age of plum trees considering stochasticity of perishable crop production and marketing and the of yield (Ward and Farris, 1968). They have compared a possible risk-averse behavior of the owner-managers. stochastic model based on dynamic programming with a Finally, the multi-period structure of the model and risk deterministic model and have concluded that both models concerns are embedded in a multi-objective framework 52 53 Kotagama et al. Economic analysis determining the optimal replanting age of date palm reflecting the conflicting objectives tree-crop managers the age of replanting of date palms.
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