Judul: Landscape Service Management of Biodiversity and Water Resources in Agroforestry Landscapes in Sukabumi Regency
Abstrak: Alih fungsi lahan lahan adalah intervensi manusia terhadap lahan untuk memenuhi kebutuhan hidup baik materiil maupun spiritual. Alih fungsi lahan sering mengabaikan prinsip konservasi lingkungan, sehingga menyebabkan dampak negatif seperti penurunan kesuburan tanah dan terganggunya fungsi hidrologi. DAS Cimandiri, Jawa Barat, merupakan salah satu DAS yang mengalami alih fungsi lahan. Sebanyak 61% dari total luas DAS Cimandiri digunakan masyarakat untuk aktivitas pertanian dan perkebunan yang berdampak pada penurunan kemampuan DAS dalam menangkap air. Upaya rehabilitasi DAS melalui Rehabilitasi Hutan dan Lahan (RHL) melibatkan penanaman pohon secara konvensional, penaburan benih melalui udara, dan hutan rakyat agroforestri. Penelitian ini berfokus pada lanskap agroforestri CV. Antoni Farm yang merupakan lanskap agroforestri di DAS Cimandiri. Metode analisis menggunakan software i-Tree Eco dapat menghasilkan perhitungan kuantitatif dari data fisik setiap tegakan pohon. Perhitungan jasa lanskap dilakukan untuk membantu merumuskan strategi pengelolaan lanskap menggunakan pendekatan SWOT dalam menentukan strategi prioritas sesuai kondisi lanskapnya. Hasil analisis biodiversitas pada i-Tree Eco menunjukkan indeks keanekaragaman sedang, yaitu Shannon-Wiener (H’) 2,5, eveness index (E) 0,7 dan dominance index Simpson (C) 0,67. Hasil pengurangan limpasan diperoleh sebesar 246,30 m3/tahun. Hasil analisis sumber daya air menunjukkan kontribusi sebesar 0,047% terhadap total volume limpasan air DAS Cimandiri. Strategi manajemen lanskap agroforestri CV. Antoni Farm berdasarkan analisis SWOT dapat dilakukan dengan growth and built strategy yang memungkinkan upaya peningkatan potensi dan inovasi lanskap agroforestri., Land-use conversion refers to human intervention in land to meet both material and spiritual needs. This often neglects environmental conservation principles, leading to negative impacts such as soil fertility decline and disruption of hydrological functions. The Cimandiri Watershed in West Java is one of the watersheds experiencing land-use conversion. Approximately 61% of the total area of the Cimandiri Watershed is used by the community for agricultural and plantation activities, which has resulted in a decreased capacity of the watershed to retain water. Efforts to rehabilitate the watershed through forest and land rehabilitation involve conventional tree planting, aerial seeding, and agroforestry system. This study focuses on the agroforestry landscape of CV. Antoni Farm, located within the Cimandiri Watershed. The analysis method using i-Tree Eco software provides quantitative calculations from the physical data of each tree stand. The calculation of landscape services is carried out to help formulate landscape management strategies using a SWOT approach to determine priority strategies based on the landscape conditions. The biodiversity analysis results using i-Tree Eco show a moderate diversity index, with a Shannon-Wiener index (H’) of 2,5, an evenness index (E) of 0,70, and a Simpson dominance index (C) of 0,67. The reduction in runoff was found to be 246.30 m³/year. The water resource analysis showed a contribution of 0,047% to the total water runoff volume of the Cimandiri Watershed. Based on SWOT analysis, the landscape management strategy for the agroforestry landscape of CV. Antoni Farm can be carried out using a growth and build strategy, which allows for efforts to enhance the potential and innovation of the agroforestry landscape.
Keyword: Biodiversitas, I-Tree Eco, jasa lanskap, agroforestri, sumber daya air

Judul: Rural Landscape Management as a Landscape Service Provider in Cikarawang and Margajaya Village Bogor
Abstrak: Lanskap pedesaan memiliki potensi alam yang melimpah. Salah satu potensi alam tersebut adalah jasa lanskap. Jasa lanskap perlu dioptimalkan pengelolaan dan pemanfaatannya. Hal terpenting dalam pemanfaatannya adalah dengan tetap memperhatikan keseimbangan ekosistem untuk menciptakan lanskap yang berkelanjutan. Tujuan penelitian ini adalah menganalisis data karakter spasial desa, menganalisis potensi jasa lanskap desa, dan menyusun rekomendasi pengelolaan potensi jasa lanskap desa. Penelitian ini dilaksanakan di Desa Cikarawang, Kecamatan Dramaga, Kabupaten Bogor dan Kelurahan Margajaya, Kecamatan Bogor Barat, Kota Bogor. Penelitian ini dilakukan dengan menganalisis empat aspek jasa lanskap, yaitu biodiversitas menggunakan Indeks Shannon Wienner, cadangan karbon menggunakan estimasi biomassa, keindahan lanskap menggunakan metode Beautification Rate Index (BRI) dan sumberdaya air menggunakan Normalized Difference Water Index (NDWI). Rekomendasi strategi pengelolaan jasa lanskap menggunakan analisis SWOT yang mempertimbangkan faktor internal (kekuatan dan kelemahan) dan faktor eksternal (peluang dan ancaman)., Rural landscapes have abundant natural potential. One of these natural potentials is landscape services. Landscape services need to be improved in their management and utilization. The most important thing in its use is to maintain the balance of the ecosystem to create a sustainable landscape. The purpose of this study is analyze data on the spatial character of the rural landscape, analyze the potential of rural landscape services, and compile recommendations for managing the potential of rural landscape services. This research carried out in Cikarawang Village, Dramaga Sub-district, Bogor District and Margajaya Urban Village, West Bogor Sub-district, Bogor City. This research conducted by analyzing four aspects of landscape services, there are biodiversity using the Shannon Wienner Index, carbon stock using biomass estimation, landscape beauty using the Beautification Rate Index (BRI) method, and water resource management using the Normalized Difference Water Index (NDWI) method. Landscape services management strategy used SWOT analysis that considers internal factors (strengths and weaknesses) and external factors (opportunities and threats).
Keyword: biodiversity, carbon stock, landscape beautification, landscape services, water resource management

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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