Monotonicity-constrained species distribution models.

Abstract:

:Flexible modeling frameworks for species distribution models based on generalized additive models that allow for smooth, nonlinear effects and interactions are of increasing importance in ecology. Commonly, the flexibility of such smooth function estimates is controlled by means of penalized estimation procedures. However, the actual shape remains unspecified. In many applications, this is not desirable as researchers have a priori assumptions on the shape of the estimated effects, with monotonicity being the most important. Here we demonstrate how monotonicity constraints can be incorporated in a recently proposed flexible framework for species distribution models. Our proposal allows monotonicity constraints to be imposed on smooth effects and on ordinal, categorical variables using an additional asymmetric L2 penalty. Model estimation and variable selection for Red Kite (Milvus milvus) breeding was conducted using the flexible boosting framework implemented in R package mboost.

journal_name

Ecology

journal_title

Ecology

authors

Hofner B,Müller J,Hothorn T

doi

10.1890/10-2276.1

subject

Has Abstract

pub_date

2011-10-01 00:00:00

pages

1895-901

issue

10

eissn

0012-9658

issn

1939-9170

journal_volume

92

pub_type

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