Premium
A Density‐dependent Function for Fishing Mortality Rate and a Method for Determining Elements of a Leslie Matrix with Density‐dependent Parameters
Author(s) -
van Winkle Webster,
Deangelis Donald L.,
Blum Stephen R.
Publication year - 1978
Publication title -
transactions of the american fisheries society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.696
H-Index - 86
eISSN - 1548-8659
pISSN - 0002-8487
DOI - 10.1577/1548-8659(1978)107<395:adfffm>2.0.co;2
Subject(s) - leslie matrix , probability density function , population , statistics , survival function , mathematics , density dependence , function (biology) , matrix (chemical analysis) , population density , population dynamics of fisheries , statistical physics , survival analysis , biology , demography , physics , chemistry , chromatography , evolutionary biology , sociology
A density‐dependent function for the instantaneous fishing mortality rate is presented. It is shown that this function may be readily incorporated into the age‐specific probability of survival in a Leslie‐matrix population model. A method is presented for indirectly determining the probability of survival for age‐class 0 of a fish population using a density‐dependent Leslie matrix. The method involves the two constraints that the population be at equilibrium and that the index of absolute population size in the density‐dependent function be assigned a value. In addition, given the probability of survival for age‐class 0, it is shown that the probability of survival through a selected life stage within age‐class 0 can be indirectly determined. Three problems in modeling a fish population using a Leslie model are discussed in light of the difficulties involved in modeling density dependence due to insufficient information and lack of understanding concerning density‐dependent phenomena.