Application of the Leslie Matrix to Predict the Number and Growth Rate of Women in West Java 2021

Maryati, Ati; Supian, Sudradjat; Subiyanto, Subiyanto

doi:10.46336/ijqrm.v2i1.78

Cited by 3 publications

(4 citation statements)

References 13 publications

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“…This model requires data on the total female population to obtain birth rates and survival rates which are then used to form the Leslie Matrix. Several studies have used this model to calculate the population [5]- [9].In mathematical modeling, data discrepancies are often found or even data is not available for the problem to be solved. Therefore, other methods will be used to correct the lack of data.…”

Section: Introductionmentioning

confidence: 99%

Modification of the Leslie Model on Population Growth in the Bangka Belitung Islands Province

Prayanti,

Maxrizal,

Setiawan

2023

jmi

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The Leslie model is one of the applications of Algebra in solving a population growth model. The birth rate and survival rate of a population are constituents of the Leslie Matrix. The advantage of this model is that it only requires data on the total female population. This study aims to modify the classic Leslie Model by adding correction values to matrix elements, especially birth rates and survival rates. The correction value is obtained from the minimum Euclidean distance for each birth rate and survival rate for each population age group. The Euclidean distance is used because it requires simple calculations. Based on the modified results, the Perron value obtained from the Leslie matrix is 0.9. If the constant value is zero, then the modification of the Leslie model will be the same as the classic Leslie model.

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Section: Introductionmentioning

confidence: 99%

Modification of the Leslie Model on Population Growth in the Bangka Belitung Islands Province

Prayanti,

Maxrizal,

Setiawan

2023

jmi

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“…Leslie model is widely used to model the growth of animal and human population [3], [4]- [11]. The presence of predators in a population also greatly affects the Leslie model [12].…”

Section: Introductionmentioning

confidence: 99%

Analysis of the population growth model to maintain environmental stability in the Province of The Bangka Belitung Islands

Prayanti

Maxrizal

2022

IOP Conf. Ser.: Earth Environ. Sci.

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The province of the Bangka Belitung archipelago is one of the relatively young provinces in Indonesia. Based on BPS data in 2021, the population of Bangka Belitung is around 1.473.165. This population data is very useful for formal demography and will influence local government policies, economic stability and environmental balance. In this study, the population growth of the Bangka Belitung Islands Province was modeled using the Leslie model. The model show that the population of the Bangka Belitung Islands Province will decrease slowly.

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“…Leslie (1948) menyatakan bahwa untuk kesederhanaan, diasumsikan bahwa rentang usia yang sama pada periode waktu tertentu dan hanya populasi wanita/betina yang digunakan dalam perhitungan matriks Leslie. Dalam artikel yang berbeda disebutkan bahwa karena wanita/betina yang dapat melahirkan, maka hanya populasi wanita/betina yang menjadi objek dalam perhitungan menggunakan matriks Leslie [4]. Matriks Leslie memiliki dua parameter yaitu parameter 𝑎 𝑙 dengan nilai 𝑙 = 1,2, … , 𝑛 dan 𝑏 𝑙 dengan nilai 𝑙 = 1,2, … , 𝑛 − 1.…”

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“…populasi manusia yang ditandai dengan terlahir atau tidaknya individu-individu baru [5]. Penyejahteraan penduduk oleh pemerintah akan lebih mudah dilakukan salah satunya apabila pertumbuhan penduduknya terkendali [4].…”

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Analisis Implementasi Matriks dalam Estimasi Laju Pertumbuhan Populasi Wanita

Wijaya,

Nisfulaila

2024

JRMM

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Leslie matrix is a growth matrix used to estimate the growth rate of a population. Through the population growth rate, information can be obtained whether the growth tends to increase, decrease, or stabilize. The general form of the Leslie matrix is a square matrix in which the first-row entries contain values of female fertility rate , the subdiagonals contain values of female survival rate , and entries other than in the first row and sub diagonals are zero. This research is to determine the implementation of the Leslie matrix in estimating the female population growth rate in Situbondo Regency 2023 and its analysis. The stages of this research began with presenting the Leslie matrix population growth model for the next three years. The second stage is to determine the age class interval. Next, determine the initial age distribution vector. The fourth and fifth stages, respectively, are calculating the and the value. The next step is constructing the Leslie matrix. The seventh stage is to calculate the estimated female population. The eighth stage is determining the eigenvalue and ends with determining the dominant eigenvalue. Based on the results of the research that has been done, it is obtained that the estimated female population in Situbondo Regency 2023 tends to decrease with the acquisition of a dominant eigenvalue that is less than one. That information can be taken into consideration by the government in formulating population-related policies.

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Application of the Leslie Matrix to Predict the Number and Growth Rate of Women in West Java 2021

Cited by 3 publications

References 13 publications

Modification of the Leslie Model on Population Growth in the Bangka Belitung Islands Province

Modification of the Leslie Model on Population Growth in the Bangka Belitung Islands Province

Analysis of the population growth model to maintain environmental stability in the Province of The Bangka Belitung Islands

Analisis Implementasi Matriks dalam Estimasi Laju Pertumbuhan Populasi Wanita

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