Parameter identifiability and model selection for sigmoid population growth models

MJ Simpson, AP Browning, DJ Warne… - Journal of theoretical …, 2022 - Elsevier
Sigmoid growth models, such as the logistic, Gompertz and Richards' models, are widely
used to study population dynamics ranging from microscopic populations of cancer cells, to …

A unified approach to the Richards-model family for use in growth analyses: why we need only two model forms

E Tjørve, KMC Tjørve - Journal of theoretical biology, 2010 - Elsevier
This paper advances a unified approach to the modeling of sigmoid organismal growth.
There are numerous studies on growth, and there have been several proposals and …

Likelihood ridges and multimodality in population growth rate models

L Polansky, P De Valpine, JO Lloyd-Smith, WM Getz - Ecology, 2009 - Wiley Online Library
A central problem in population ecology is to use time series data to estimate the form of
density dependence in the per capita growth rate (pgr). This is often accomplished with …

A new flexible sigmoidal growth model

L Cao, PJ Shi, L Li, G Chen - Symmetry, 2019 - mdpi.com
Biological growth is driven by numerous functions, such as hormones and mineral nutrients,
and is also involved in various ecological processes. Therefore, it is necessary to accurately …

Modeling population growth in R with the biogrowth package

A Garre, J Koomen, HMW den Besten… - Journal of Statistical …, 2023 - jstatsoft.org
The growth of populations is of interest in a broad variety of fields, such as epidemiology,
economics or biology. Although a large variety of growth models are available in the …

A proposed family of unified models for sigmoidal growth

KMC Tjørve, E Tjørve - Ecological Modelling, 2017 - Elsevier
Abstract The four-parameter Unified Richards model has been applied to the growth of
different animal taxa. Traditionally researchers of animal growth have favoured three …

Capture the time when plants reach their maximum body size by using the beta sigmoid growth equation

PJ Shi, L Chen, C Hui, HD Grissino-Mayer - Ecological Modelling, 2016 - Elsevier
Of the many mathematical models proposed for capturing the dynamics of plant growth, the
beta sigmoid function (BSF) is the newest and consequently is not well known to ecologists …

Growing the biphasic framework: Techniques and recommendations for fitting emerging growth models

KL Wilson, AE Honsey, B Moe… - Methods in Ecology and …, 2018 - Wiley Online Library
Several new growth models have been proposed to account for the life‐history trade‐offs
that occur when indeterminately growing species allocate energy between somatic growth …

How can we improve accuracy of macroevolutionary rate estimates?

T Stadler - Systematic biology, 2013 - academic.oup.com
Nee et al.(1994) presented likelihood equations for estimating speciation and extinction
rates based on phylogenies of only extant species; in particular their method can infer …

Computationally efficient framework for diagnosing, understanding and predicting biphasic population growth

RJ Murphy, OJ Maclaren… - Journal of the …, 2022 - royalsocietypublishing.org
Throughout the life sciences, biological populations undergo multiple phases of growth,
often referred to as biphasic growth for the commonly encountered situation involving two …