1 2 Integration of Bayesian inference 3 techniques with mathematical modelling 4 5 6
نویسنده
چکیده
Skeptical views of the scientific value of modelling argue that there is no 13 true model of an ecological system, but rather several adequate descriptions of 14 different conceptual basis and structure. My study addresses this question using a 15 complex ecosystem model, developed to guide the water quality criteria setting 16 process in the Hamilton Harbour (Ontario, Canada), along with a simpler plankton 17 model that considers the interplay among phosphate, detritus, and generic 18 phytoplankton and zooplankton state variables. Predictions from the two models 19 are combined using the respective standard error estimates as weights in a 20 weighted model average. The two eutrophication models are used in conjunction 21 with the SPAtially Referenced Regressions On Watershed attributes (SPARROW) 22 watershed model. The Bayesian nature of my work is used: (i) to alleviate problems 23 of spatiotemporal resolution mismatch between watershed and receiving waterbody 24 models; and (ii) to overcome the conceptual or scale misalignment between 25 processes of interest and supporting information. The lessons learned from this 26 study will contribute towards the development of integrated modelling frameworks. 27 28
منابع مشابه
Bayesian Inference for Spatial Beta Generalized Linear Mixed Models
In some applications, the response variable assumes values in the unit interval. The standard linear regression model is not appropriate for modelling this type of data because the normality assumption is not met. Alternatively, the beta regression model has been introduced to analyze such observations. A beta distribution represents a flexible density family on (0, 1) interval that covers symm...
متن کاملdeBInfer: Bayesian inference for dynamical models of biological systems in R
1. Understanding the mechanisms underlying biological systems, and ultimately, predicting their behaviours in a changing environment requires overcoming the gap between mathematical models and experimental or observational data. Differential equations (DEs) are commonly used to model the temporal evolution of biological systems, but statistical methods for comparing DE models to data and for pa...
متن کاملImproved Dynamic Fault Tree modelling using Bayesian Networks
1. Background In modelling fault-tolerant systems , space state based approaches such as dynamic fault trees (DFTs) [4], have been shown to increase the power of traditional combinatorial models, like static fault trees (FTs) [9]. However, in practice, these approaches have severe limitations when dealing with the increasing complexity of component dependencies and failure behaviours of today’s...
متن کاملExact Bayesian lineage tree - based inference identi - 1 fies Nanog negative autoregulation in mouse em - 2 bryonic stem cells 3
1 fies Nanog negative autoregulation in mouse em2 bryonic stem cells 3 Justin Feigelman, Stefan Ganscha, Simon Hastreiter, Michael Schwarzfischer, Adam Fil4 ipczyk, Timm Schroeder, Fabian J. Theis, Carsten Marr*, Manfred Claassen* 5 6 1 Institute of Computational Biology, Helmholtz Zentrum München German Research Center 7 for Environmental Health, 85764 Neuherberg, Germany 8 2 Institute of Mole...
متن کاملOn Modern Deep Learning and Variational Inference
Bayesian modelling and variational inference are rooted in Bayesian statistics, and easily benefit from the vast literature in the field. In contrast, deep learning lacks a solid mathematical grounding. Instead, empirical developments in deep learning are often justified by metaphors, evading the unexplained principles at play. It is perhaps astonishing then that most modern deep learning model...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012