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Ecological Informatics
journal homepage: www.elsevier.com/locate/ecolinf
Use of ROOT to build a software optimized for parameter estimation and
simulations with Distributed Delay Model
Luca Rossini
a,
⁎
, Maurizio Severini
b
, Mario Contarini
a
, Stefano Speranza
a
a
Università degli Studi della Tuscia, Viterbo, Dipartimento di Scienze Agrarie e Forestali (DAFNE), Via San Camillo de Lellis snc, 01100 Viterbo, Italy
b
Università degli Studi della Tuscia, Viterbo, Dipartimento di Scienze Ecologiche e Biologiche (DEB), Loc. Riello snc, 01100 Viterbo, Italy
ARTICLE INFO
Keywords:
Crop protection
Development rate function
ROOT
Insects' life stage forecast
ABSTRACT
ROOT is a software package developed by a CERN project started in 1994 by René Brun for statistical analysis in
high-energy physics. This software package can also be used in the field of protecting plants against pest insects.
Indeed, for a long time there has been a significant use of the Distributed-Delay Model, but there is no specific
software available to date that is useful for following the research from the first step to simulations and field
validations.
This work, through ROOT's libraries, builds a series of macros that consent to do non-linear fits with functions
such as Erlang PDF, linear-rate, Logan, Briére, Sharpe and De Michele, thereby giving support to the parameters-
estimate step in laboratory sessions and then numerically solving the Distributed-Delay Model equations. This
study supplies results both graphically and numerically.
1. Introduction
In Agricultural, Forest and Environmental Sciences, and especially
in the context of risk management, modelling has become an important
tool. In particular, entomologists started using several models to fore-
cast pest insects' life cycles for two primary reasons: safeguarding
human and environmental health, and because of the restrictive laws
regarding pesticide use. The difference between a monitoring system
and a forecasting system results from the possibility of having an idea of
the risk situation of an agricultural field or an urban and peri-urban
area (Speranza et al. 2007). There is a need to develop a control
strategy different from the conventional one. Despite monitoring and
forecast systems seeming similar, in reality there is a conspicuous dif-
ference between them. In the first case, data collected with traps placed
in fields provides empirical information on insect presence. Capinera
defines the term “monitoring” as “careful observation of pest abundance
and damage” (Capinera 2001). The inconvenience is that monitoring
provides no information about the future trends of the monitored po-
pulation. On the other hand, a simulation could not report the exact
field situation, but it is helpful to know the future development of the
population. In other words, forecasting is “the process of making pre-
dictions based on past and present data”. These predictions can support a
series of research projects that involve using natural enemies such as
predators, parasitoids, entomopathogenic fungi and bacteria for the
control of insect pests. Indeed, natural enemy complex plays a pre-
eminent role in controlling invasive and autochthonous species in dif-
ferent environmental contexts. For example, the entomopathogenic
fungus Entomophaga maimaiga in areas where it has been introduced is
effective against the gipsy moth Lymantria dispar (Lepidoptera: Ere-
bidae) populations (Pilarska et al., 2006), encouraging further experi-
mentation aimed at diffusing this pathogen in new areas across the
world (Contarini et al. 2016). In the agronomic context, the biological
control applications of the entomopathogenic bacteria Bacillus thur-
ingiensis (Alsaedi et al. 2017; González-Cabrera et al. 2011) or the
predator Zelus obscuridorsis (Hemiptera: Heteroptera: Reduviidae)
(Speranza et al. 2014) in the tomato leaf miner, Tuta absoluta (Lepi-
doptera: Gelechiidae) might be mentioned. The inconvenience of this
type of control is that it requires highly qualified technicians, quick
response and accurate knowledge of the most susceptible life stage of
the insect pest if one is to maximize the efficacy of the use of biological
control. On the other hand, if it is impossible to apply a biological
control strategy, to know the pests' population trends helps one perform
chemical control to reduce the quantity of the pesticide in question.
One of the widely used models is the Distributed Delay Model (DDM).
Beginning with its introduction by Manetsch (1976), the DDM has
garnished interest from entomologists and environmental scientists to
describe the life cycle of poikilothermic organisms. One of the strengths
concerns the possibility of linking environmental and species'
https://doi.org/10.1016/j.ecoinf.2019.02.002
Received 31 May 2018; Received in revised form 16 January 2019; Accepted 3 February 2019
⁎
Corresponding author.
E-mail address: luca.rossini@unitus.it (L. Rossini).
Ecological Informatics 50 (2019) 184–190
Available online 04 February 2019
1574-9541/ © 2019 Elsevier B.V. All rights reserved.
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