Turning to the matrix: a more accurate way to predict extinction

Jeremy Hance
April 14, 2010

According to most conservationists the globe is striding into the midst of the Sixth Mass Extinction. Species populations worldwide are dropping and in many cases species are vanishing all together due to pollution, climate change, poaching and hunting, overconsumption, invasive species, and exotic diseases, but no threat proves more pervasive and devastating for the world's species than habitat loss.

Discovering where species are most in trouble and where they are relatively secure has become a passion for many conservationists since such information allows attention and funds to be focused to the right places. Scientists have long employed the 'island biogeography theory' to decipher species' vulnerability, but a new model announced in a paper in Conservation Biology is more accurate than island biogeography at predicting trouble spots and extinctions.

Patchwork of legal forest reserves, pasture, and soy farms in the Brazilian Amazon. Photo by Rhett A Butler.
According to co-author Lian Pin Koh, the idea for the model was brought up by a question from David Wilcove, an ecologist at Princeton. Wilcove asked Koh, "which was worse—losing a small portion of a forest to oil palm agriculture, or selectively logging a large part of the forest?"

While Koh found the question "hugely important", he knew that the island biogeography theory would not answer it. Island biogeography theory looks at the world as 'islands' of habitat and non-habitat for species. In general it looks at suitable habitat as pristine islands surrounded by a sea of unsuitable habitat where species cannot survive, thereby determining the relationship between species and area as more habitat—larger 'islands'—equals more species. Developed in 1967 by Robert MacArthur and Edward O. Wilson, the theory has aided conservationists for decades.

"In the 1970s when conservation biology began to take off in the US, the species-area relationship and island biogeography theory had great influences on some of the people wanting to conserve forests and biodiversity," explains Koh. "Because, when applied to terrestrial landscapes, the species-area relationship implies that more species would be expected to go extinct when more forests are lost, and conversely, to save more species we would need to protect more forests."

Koh adds that "of course, this simplistic notion has had its fair share of critics until today, primarily because islands of forested habitats on a mainland are not exactly the same as true islands in an ocean."

But how are forests on the land different from islands in the sea in terms of species extinction?

Figure 1: Extent of Deforestation in Borneo 1950-2005, Projection to 2020. The island of Borneo is split between Malaysia, Indonesia, and Brunei.
"One of the main differences between habitat islands and true islands is the intervening matrix," says Koh. By 'matrix', Koh does not mean an alternate reality where one can fight in slow-motion, but instead the type of landscapes in targeted areas, such as old-growth forests, secondary forest, small-scale agriculture, pasture, plantations, urban landscapes, and many others.

"In true island systems, the matrix is the ocean. It is quite reasonable to assume that most terrestrial organisms would not survive very well in this ocean matrix. The same, however, cannot be said of the matrix between habitat islands on a mainland because, in this case, the matrix could be a whole variety of land uses," Koh says, adding that "the main constraint of the conventional species-area model is that it assumes all organisms respond exactly the same to matrix (i.e. to be like an ocean)."

For example, a Komodo dragon cannot survive in the ocean and so its habitat is literally constricted to the islands it lives on. If those islands were to become inhabitable—for example if sea levels rose and swamped them—the Komodo dragon would go extinct. In turn, while a leopard cat surely thrives in pristine rainforest, it may also survive in partially logged forest and even in some agricultural areas. So, even if the leopard cat loses all of its forest habitat—or most of it—the species may survive in other areas.

However, the situation is far from simple. For example, one bird species may survive in forests and in certain types of agriculture, but another bird species may only survive in pristine forests, while a third may inhabit everything from forest to plantations to urban environments. So, how does one predict extinction in face of such complexities?

To answer this, Koh has developed a matrix-calibrated model that "takes account of the specific response of the organisms to each component of matrix". In other words Koh's model combines habitat loss with a species' sensitivity to surrounding matrices to determine the likelihood of extinction.

The matrix model.
Not satisfied with simply developing a new model, Koh tested the new model, dubbed the matrix model, against the conventional island biogeography theory and another theory, called the countryside model, in a "'prediction accuracy' competition". The test looked at survival of bird species in 20 biodiversity hotspots.

"The winner would be the model that produced predictions that were closest to actual known bird extinctions or endangerment," Koh said.

The matrix model took first prize. "I found that the matrix-calibrated model was the best model among all models considered, and it was 13.5 times more strongly supported by the data than the conventional model," Koh says. The countryside model proved least accurate of the three, while the conventional model overestimated extinction in 18 of 20 of the hotspots—not surprising since this model assumes all habitats outside of forest are unlivable which may be true for some species but hardly all.

If accepted by conservationists, the improved accuracy of the matrix model is likely to revolutionize where and how conservationists employ their resources.

"The matrix-calibrated model can now be used to explore the consequences of changes in the entire landscape, including not just the amount of forest but also the quality of the resultant land uses that now comprise the matrix. Not only will conservationists be able to make more accurate predictions of biodiversity loss from land-use change, they could also use the matrix-calibrated model to predict potential biodiversity enhancements from improvements in the quality of the matrix," Koh says, adding that "to me this is a significant step forward because now we can potentially prescribe measures to increase biodiversity!"

The model will also help in questions of tradeoffs between conservation and development (or different types of development), for example, conservationists can now "explore tradeoffs in biodiversity between the options of converting a large part of a forested landscape to extensive but wildlife-friendly agriculture versus converting only some parts of the forest to intensive production systems," explains Koh. "These very practical questions could not have been addressed with the conventional species-area model."

Koh has already answered the question that led to the new model. According to the paper, "converting 1 acre of Borneo’s primary forest to oil palm is roughly as bad for biodiversity as selectively logging 2.5 acres of the forest".

Village, rice plots, and patches of forests in Madagascar's Central Plateau. Photo by: Rhett A. Butler.
Koh argues that while the matrix model may be less cautious and conservative than the island biogeography theory, its overall accuracy will better serve conservationists and environmentalists in the long-run.

"While erring on the side of caution may be desirable from a strict conservationist perspective, I believe that is a less tenable position nowadays, given that donors to conservation causes and the general public are expecting more accurate prognosis of environmental ills, and are less tolerant of environmental blackwashing," Koh says. "Also, given increasingly limited conservation resources, it is invaluable to be able to accurately target them where most needed."

To begin helping conservationists immediately, Koh has built a working matrix model on-line called the Species Extinction Calculator. The calculator measures up to three different matrices, as well as allowing conservationists to tinker with the number of forest fragments and the edge effect. An additional Species Extinction Calculator—Multiple Landscapes allows one to measure the extinction rates in various forests and compare them. As well as being surprisingly addictive, the Species Extinction Calculator is an incredibly useful tool for saving species.

Comparisons of observed and predicted numbers of extinct and threatened endemic bird species in 20 biodiversity hotspots.

Citation: Lian Pin Koh and Jaboury Ghazoul. A Matrix-Calibrated Species-Area Model for Predicting Biodiversity Losses Due to Land-Use Change. Conservation Biology, 2010. DOI: 10.1111/j.1523-1739.2010.01464.x.

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Jeremy Hance
mongabay.com (April 14, 2010).

Turning to the matrix: a more accurate way to predict extinction.