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: Landscape Services Management of Biodiversity and Carbon Stock City Park in Jakarta
Abstrak: Perkembangan wilayah perkotaan, terutama di DKI Jakarta, memberikan dampak positif dan negatif pada kualitas lanskap. Peningkatan polusi udara merupakan salah satu bentuk dampak negatif pada kualitas lanskap. Perkotaan seringkali menjadi sumber polusi udara tinggi, terutama dari pusat industri. Oleh karena itu, penting untuk memahami peran Ruang Terbuka Hijau (RTH), khususnya taman kota, dalam memperbaiki kualitas lanskap. RTH memiliki fungsi ekologi untuk mereduksi polusi udara, memberikan kontribusi pada keberlanjutan kota. Penelitian ini bertujuan untuk menganalisis jasa lanskap berupa biodiversitas dan karbon tersimpan menggunakan i-Tree Eco dan menyusun rekomendasi pengelolaan berdasarkan analisis SWOT. Analisis jasa lanskap biodiversitas diklasifikan dengan indeks Shannon-Wiener, sementara analisis cadangan karbon juga diklasifikasikan berdasarkan kriteria jumlah karbon tersimpan. Berdasarkan analisis Indeks Shannon-Wiener, Indeks keanekaragaman pada Taman Suropati dengan nilai 1,30 termasuk kategori keberagaman sedang, Taman Menteng dengan nilai 3,21 termasuk kategori keberagaman tinggi dan Taman Puring dengan nilai 1,34 termasuk kategori keberagaman sedang. Berdasarkan hasil analisis i-Tree Eco karbon tersimpan pada Taman Suropati sebesar 114,11 (ton/ha) termasuk kategori karbon tersimpan tinggi, pada Taman Menteng sebesar 41,7 (ton/ha) termasuk kategori karbon tersimpan rendah dan untuk karbon tersimpan pada Taman Suropati sebesar 56,4 (ton/ha) termasuk kategori karbon tersimpan sedang. Pada hasil analisis SWOT menunjukan bahwa skor IFE dan EFE berada pada posisi kuadran I (Grow and build strategy) strategi ini berfokus pada pengelolaan dan pengembangan lanskap. Berdasarkan hal tersebut, diperoleh strategi-strategi pengelolaan yang dapat diterapkan pada Taman Suropati, Taman Menteng dan Taman Puring diantaranya, meningkatkan biodiversitas dan karbon tersimpan dengan penanaman dan penyulaman, memberikan edukasi kepada masyarakat terkait kesadaran akan pentingnya menjaga kebersihan taman kota dan melakukan pengawasan terhadap pemeliharan rutin fasilitas dan vegetasi yang ada di Taman Kota., The development of urban areas, especially in DKI Jakarta, has both positive and negative impacts on landscape quality. One of the negative impacts is the increase in air pollution. Urban areas often become sources of high air pollution, particularly from industrial centers. Therefore, it is important to understand the role of Green Open Spaces, especially city parks, in improving landscape quality. Green Open Spaces has an ecological function to reduce air pollution and contributes to urban sustainability. This study aims to analyze landscape services in terms of biodiversity and stock carbon using i-Tree Eco and to develop management recommendations based on SWOT analysis. The analysis of biodiversity landscape services is classified using the Shannon-Wiener index, while the analysis of carbon stock is classified based on the amount of stocked carbon. According to the Shannon-Wiener Index analysis, the biodiversity index in Suropati Park with a value of 1,30 is categorized as medium diversity, Menteng Park with a value of 3,21 is categorized as high diversity, and Puring Park with a value of 1,34 is categorized as medium diversity. Based on the I-Tree Eco analysis, the carbon stock in Suropati Park is 114,11 (tons/ha), categorized as high stock carbon, in Menteng Park it is 41,7 (tons/ha), categorized as low stock carbon, and in Puring Park it is 56,4 (tons/ha), categorized as medium stock carbon. The SWOT analysis results show that the IFE and EFE scores are in quadrant I (Grow and build strategy), focusing on
Keyword: I-Tree Eco, jasa lanskap, manajemen lanskap, ruang terbuka hijau, taman kota

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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