2022
DOI: 10.20886/ijfr.2022.9.2.147-163
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Environment Carrying Capacity of Ecotourism in Aek Nauli Research Forest, Simalungun Regency, North Sumatera

Abstract: Currently, ecotourism has become an important industry because of its rapid development. Many tourism practices have adverse environmental impacts. Due to the increasingly destructive commercialization of the natural resources on which we depend, there are several negative impacts. Aek Nauli Research Forest (ANRF), with an area of 1,900 hectares, is one of the natural tourist destinations around the Lake Toba Tourism area managed by the Aek Nauli Research Institute for Environmental and Forestry Development (B… Show more

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Cited by 3 publications
(3 citation statements)
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“…The Generalized Spatial Nested (GNS) model can be formally expressed through Equation (8) [30]. π’š = πœŒπ‘Ύ 𝟏 π’š + 𝑿 * 𝜷 * + 𝑾 𝟐 π‘ΏπœΈ + 𝒖, where 𝒖 = 𝑾 πŸ‘ 𝒖 + 𝜺 (8) Assuming 𝜺 follows a normal distribution with a mean (ΞΌ) equal to 0 and a variance (𝜎 2 ) equal to 𝜎 2 𝑰, where 𝑰 is the identity matrix of size 𝑛 Γ— 𝑛, then πœ€ is a random variable distributed as 𝑁(0, 𝜎 2 𝑰), y is a dependent variable vector of size 𝑛 Γ— 1, 𝜌 is the autoregressive coefficient of the lagged dependent variable, 𝑾 𝟏 is the spatial weighting matrix for the dependent variable of size 𝑛 Γ— 𝑛, 𝑿 * = (π’Š 𝑛 , π‘₯ 1 , β‹― , π‘₯ 𝑝 ) is a matrix of constants and predictors of size 𝑛 Γ— (𝑝 + 1), π’Š 𝑛 is a vector with elements valued as one of size 𝑛 Γ— 1, 𝜷 * = (𝛽 0 , 𝛽 1 , β‹― , 𝛽 𝑝 )β€² is the coefficient vector of regression parameters of size (𝑝 + 1) Γ— 1, 𝑾 𝟐 is the spatial weighting matrix for predictors of size 𝑛 Γ— 𝑛, 𝑿 = (π‘₯ 1 , β‹― , π‘₯ 𝑝 ) is the matrix of predictors of size 𝑛 Γ— 𝑝, 𝜸 is the autoregressive coefficient vector of size 𝑝 Γ— 1, 𝑾 πŸ‘ is the spatial weighting matrix for errors of size 𝑛 Γ— 𝑛, u is the assumed autocorrelated error vector of size 𝑛 Γ— 1, πœ† is the autoregressive coefficient of errors, and I is the identity matrix of size 𝑛 Γ— 𝑛. The determination of the spatial regression model can be observed in Figure 1.…”
Section: Spatial Dependency Modelmentioning
confidence: 99%
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“…The Generalized Spatial Nested (GNS) model can be formally expressed through Equation (8) [30]. π’š = πœŒπ‘Ύ 𝟏 π’š + 𝑿 * 𝜷 * + 𝑾 𝟐 π‘ΏπœΈ + 𝒖, where 𝒖 = 𝑾 πŸ‘ 𝒖 + 𝜺 (8) Assuming 𝜺 follows a normal distribution with a mean (ΞΌ) equal to 0 and a variance (𝜎 2 ) equal to 𝜎 2 𝑰, where 𝑰 is the identity matrix of size 𝑛 Γ— 𝑛, then πœ€ is a random variable distributed as 𝑁(0, 𝜎 2 𝑰), y is a dependent variable vector of size 𝑛 Γ— 1, 𝜌 is the autoregressive coefficient of the lagged dependent variable, 𝑾 𝟏 is the spatial weighting matrix for the dependent variable of size 𝑛 Γ— 𝑛, 𝑿 * = (π’Š 𝑛 , π‘₯ 1 , β‹― , π‘₯ 𝑝 ) is a matrix of constants and predictors of size 𝑛 Γ— (𝑝 + 1), π’Š 𝑛 is a vector with elements valued as one of size 𝑛 Γ— 1, 𝜷 * = (𝛽 0 , 𝛽 1 , β‹― , 𝛽 𝑝 )β€² is the coefficient vector of regression parameters of size (𝑝 + 1) Γ— 1, 𝑾 𝟐 is the spatial weighting matrix for predictors of size 𝑛 Γ— 𝑛, 𝑿 = (π‘₯ 1 , β‹― , π‘₯ 𝑝 ) is the matrix of predictors of size 𝑛 Γ— 𝑝, 𝜸 is the autoregressive coefficient vector of size 𝑝 Γ— 1, 𝑾 πŸ‘ is the spatial weighting matrix for errors of size 𝑛 Γ— 𝑛, u is the assumed autocorrelated error vector of size 𝑛 Γ— 1, πœ† is the autoregressive coefficient of errors, and I is the identity matrix of size 𝑛 Γ— 𝑛. The determination of the spatial regression model can be observed in Figure 1.…”
Section: Spatial Dependency Modelmentioning
confidence: 99%
“…Several studies that use spatial analysis, including Sihombing [8], are conducting research on variables that are factors of poverty, such as income levels, consumption, health, education, and relationships in society using the SAR model. Tumanggor dan Simamora [9] identified factors that influence the Human Development Index using the SAR model.…”
Section: Introductionmentioning
confidence: 99%
“…The current condition of the KJNP mangrove track requires some repairs, including damaged tracking lines and species interpretation boards. Repairing and improving the quality of facilities and infrastructure is critical so that visitors get a good impression and want to revisit the area (Sihombing et al 2022).…”
Section: Swot-qspm Analysismentioning
confidence: 99%