Judul: Performance and Stability Analysis for Yield of Chili (Capsicum fructescens L.) in Four Lowland Environments
Abstrak: arietas cabai yang stabil dan berdaya hasil tinggi diperlukan untuk peningkatan produksi cabai nasional. Penelitian ini bertujuan untuk mengevaluasi stabilitas hasil 16 genotipe cabai rawit (Capsicum fructescens L.) dengan menggunakan analisis stabilitas parametrik (Francis-Kannenberg, Wricke, Finlay-Wilkinson, Eberhart-Russel. AMMI dan GGE) dan stabilitas nonparametrik (Nasser dan Huehn, Fox dan Thennarasu). Penelitian ini dilaksanakan pada bulan Agustus 2018 sampai September 2019 pada empat lokasi, yaitu Kolaka, Palembang, Aceh dan Bogor. Penelitian ini menggunakan rancangan kelompok lengkap teracak dengan tiga ulangan. Genotipe cabai rawit yang dievaluasi adalah F5285290-237-6-1, F6285290-6-10-1-1, F5285290-290-2-1, F5285290-290-9-1, F5285290-290-9-3, F5321290-40-2-1, F5285290-123-6-15, F6321290-252-10-8-4, F5285290-38-6-3, F6321290-252-10-8-23, F6321290-252-10-8-75, Bonita IPB, Inul (varietas local Garut), Cakra Putih (varietas komersial), Taruna (varietas komersial), dan Tobasco. Interaksi genotipe x lingkungan berpengaruh nyata terhadap hasil. Berdasarkan konsep stabilitas statis dengan metode Francis-Kannenberg, Nasser dan Huehn, dan Thennarasu, genotipe yang stabil adalah F6321290-252-10-8-75, F6321290-252-10-8-23, F5321290-40-2-1, F5285290-123-6-15, F6321290-252-10-8-4, Taruna dan Inul. Berdasarkan stabilitas dinamis dengan metode Finlay-Wilkinson, Eberhart-Russel, Wricke, AMMI, GGE dan Fox, genotipe yang stabil adalah F5285290-237-6-1, F6285290-6-10-1-1, F5285290-290-9-3, F6321290-252-10-8-4, Bonita IPB dan F5285290-290-2-1. Genotipe F6321290-252-10-8-4 diidentifikasi sebagai genotipe stabil berdasarkan beberapa metode stabilitas parametrik dan nonparametrik, namun genotipe tersebut tidak memiliki rata-rata hasil tertinggi. Sedangkan analisis GGE dan Fox mengidentifikasi Bonita IPB sebagai genotipe yang stabil dengan daya hasil tertinggi. Kata kunci: analisis stabilitas, cabai, stabilitas dinamis, stabilitas statis, varietas, Stable and high yielding chili varieties are needed to increase the national chili production. The objective of this study was to identify the stability of sixteen chili (Capsicum fructescens L.) genotypes using parametric stability analyses (Francis-Kannenberg, Wricke, Finlay-Wilkinson, Eberhart-Russel. AMMI, and GGE) and nonparametric stability analysis ((Nasser and Huehn, Fox and Thennarasu). The study was conducted from August 2018 to September 2019 in Kolaka, Palembang, Aceh, and Bogor. The experiment used a randomized complete block design with three replications. The chili genotypes evaluated were F5285290-237-6-1, F6285290-6-10-1-1, F5285290-290-2-1, F5285290-290-9-1, F5285290- 290-9-3, F5321290-40-2-1, F5285290-123-6-15, F6321290-252-10-8-4, F5285290-38-6-3, F6321290-252-10-8-23, F6321290-252-10-8-75, Bonita IPB, Inul (loca1 variety), Cakra Putih (commercia1 variety), Taruna (commercia1 variety), and Tobasco. The genotype x environment interaction effect was significant on yield. Based on the concept of static stability using Francis-Kannenberg, Nasser and Huehn and Thennarasu methods, the stable genotypes were F6321290-252-10-8-75, F6321290-252-10-8-23, F5321290-40-2-1, F5285290-123-6-15, F6321290-252-10-8-4, Taruna and Inul. Based on the concept of dynamic stability of Finlay-Wilkinson, Eberhart-Russel, Wricke, AMMI, GGE and Fox methods, the stable genotypes were F5285290-237-6-1, F6285290-6-10-1-1, F5285290-290-9-3, F6321290-252-10-8-4, Bonita IPB and F5285290-290-2-1. Genotype F6321290-252-10-8-4 was identified stable based on several parametric and nonparametric stability methods, but was not the highest yielding genotype. Meanwhile, the GGE analysis and Fox methods revealed Bonita IPB as a stable genotype with the highest yield. Keywords: chilli, dynamic stability, stability analysis, static stability, variety
Keyword: chilli, dynamic stability, stability analysis, static stability, variety

Judul: Analisis Keragaman Genetik dan Stabilitas Daya Hasil Cabai Rawit di Tiga Lokasi
Abstrak: Cabai rawit merupakan komoditi strategis karena memiliki tingkat konsumsi yang tinggi dan berpengaruh pada tingkat inflasi. Tantangan pada produksi cabai adalah ketersediaan varietas yang berdaya hasil tinggi serta dapat beradaptasi di berbagai lingkungan tumbuh. Penelitian ini bertujuan untuk mengetahui keragaman morfologi 22 genotipe cabai, interaksi g x e, dan stabilitas 10 genotipe cabai rawit di 3 lokasi. Penelitian ini dilaksanakan pada bulan Juli 2020 sampai Februari 2022 pada tiga lokasi, yaitu Sleman, Bogor, dan Blitar. Penelitian ini menggunakan rancangan kelompok lengkap teracak dengan tiga ulangan. Genotipe cabai yang dievaluasi pada percobaan pertama adalah HCR 17-003, HCR 17-004, HCR 17-007, HCR 17-008, HCR17-012, HCR 17-013, HCR 17-014, HCR 17-017, F7-1, F7-2, F7-3, Ca011, Ca013, Ca020, Ca021, Cf002, Cf005, Cf007, Cf010, Cf015, Bonita, dan Loblita. Terdapat 10 genotipe yang digunakan untuk analisis stabilitas hasil, dua diantaranya berasal dari penelitian sebelumya berdasarkan kemiripan karakter morfologi, yaitu PKHT A, PKHT B, Bara, Genie, Centil, PKHT C, PKHT D, Bonita, Sona, dan Tunduk. Hasil analisis biplot terhadap 22 genotipe cabai menunjukkan total keragaman dari dua kompenen utama sebesar 40,5%. Terdapat interaksi genotipe dengan lingkungan yang berbeda nyata dengan produktivitas. Berdasarkan konsep stabilitas statis parametrik, genotipe yang tergolong stabil adalah PKHT B, PKHT C, Centil, Sona, dan Tunduk. Berdasarkan konsep stabilitas dinamis parametrik, genotipe yang tergolong stabil adalah PKHT A, PKHT B, PKHT C, Bonita dan Sona. Menurut metode AMMI, PKHT B, PKHT C, Sona, dan Bonita merupakan genotipe yang stabil di ketiga lokasi pengujian. PKHT B, PKHT C, Sona dan Bonita merupakan genotipe yang stabil di ketiga lokasi pengujian menurut AMMI. Berdasarkan konsep stabilitas nonparametrik, Bonita, PKHT C, PKHT A, dan Sona merupakan genotipe yang tergolong stabil di tiga lokasi menurut metode Kang. Genie, Bonita, Sona, dan PKHT B tergolong stabil menurut metode Nassar-Huehn. PKHT A dan Centil merupakan genotipe stabil menurut metode Fox. PKHT B merupakan genotipe stabil menurut metode Thennarasu. PKHT B dan Bonita merupakan genotipe stabil menurut semua metode stabilitas yang diuji., Cayenne pepper is an important horticultural commodity due to its high consumption and impact on inflation. Chili production faces challenges by the limited availability of high-yielding varieties, which have high adaptability to different growing environments. This study aimed to identify the variability of 22 chili pepper genotypes morphology, the genotype x environment interaction, and the stability of 10 chili pepper genotypes in 3 different environments. This study was conducted from July 2020 until February 2022 in Sleman DIY, Bogor, and Blitar. The experimental design used in this study was a single-factor randomized complete block design, each consisting of three replicates. The genotypes evaluated were HCR 17-003, HCR 17-004, HCR 17-007, HCR 17-008, HCR17-012, HCR 17-013, HCR 17-014, HCR 17-017, F7-1, F7-2, F7-3, Ca011, Ca013, Ca020, Ca021, Cf002, Cf005, Cf007, Cf010, Cf015, Bonita, and Loblita. Ten genotypes were evaluated in stability analysis, two genotypes were included from the previous experiment based on similar morphological character. They were PKHT A, PKHT B, Bara, Genie, Centil, PKHT C, PKHT D, Bonita, Sona, and Tunduk. The biplot analysis for genetic diversity showed a total diversity of 40.5% for the two main components. The genotype x environment
Keyword: AMMI, nonparametric stability, parametric stability, variety

Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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